Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Permission is granted to reproduce the material contained herein on the condition that such materials be reproduced only for classroom use; be provided to students, teachers, and families without charge; and be used solely in conjunction with the California Mathematics program. Any other reproduction, for sale or other use, is expressly prohibited. Send all inquiries to: Macmillan/McGraw-Hill 8787 Orion Place Columbus, OH 43240-4027 ISBN: 978-0-02-105803-7 MHID: 0-02-105803-2 Printed in the United States of America. 4 5 6 7 8 9 10 11 MAL 17 16 15 14 13 12 11 10
CONTENTS Lesson 4-6
Teacher’s Guide to Using the Chapter 4 Resource Masters .....................iv
Range and Mode Reteach ........................................................... 31 Skills Practice .................................................. 32 Homework Practice ......................................... 33 Problem-Solving Practice ................................ 34 Enrich .............................................................. 35
Chapter Resources Chapter Chapter Chapter Chapter
4 4 4 4
Graphic Organizer ............................ 2 Student Glossary .............................. 3 Anticipation Guide ............................ 4 Chapter Game .................................. 5
Lesson 4-7 Problem-Solving Investigation: Choose a Strategy Reteach ........................................................... 36 Skills Practice .................................................. 38 Homework Practice ......................................... 39 Enrich .............................................................. 40
Lesson 4-1
Take a Survey Reteach ............................................................. 6 Skills Practice .................................................... 7 Homework Practice ........................................... 8 Problem-Solving Practice .................................. 9 Enrich .............................................................. 10
Chapter 4 Assessment
Lesson 4-2
Picture Graphs Reteach ........................................................... 11 Skills Practice .................................................. 12 Homework Practice ......................................... 13 Problem-Solving Practice ................................ 14 Enrich .............................................................. 15
Individual Progress Checklist .......................... 41 Chapter 4 Diagnostic Test ............................... 42 Chapter 4 Pretest ............................................ 43 Chapter 4 Mid-Chapter Test ............................ 44 Chapter 4 Vocabulary Test ............................. 45 Chapter 4 Oral Assessment ............................ 46 Chapter 4 Listening Assessment .................... 48 Chapter 4 Project Rubric ................................. 50 Chapter 4 Foldables Rubric ............................ 51 Chapter 4 Test, Form 1 ................................... 52 Chapter 4 Test, Form 2A................................. 54 Chapter 4 Test, Form 2B................................. 56 Chapter 4 Test, Form 2C ................................ 58 Chapter 4 Test, Form 2D ................................ 60 Cumulative Standardized Test Practice .......... 62
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Lesson 4-3 Problem-Solving Strategy: Write a Number Sentence Reteach ........................................................... 16 Skills Practice .................................................. 18 Homework Practice ......................................... 19 Enrich .............................................................. 20
Lesson 4-4
Bar Graphs Reteach ........................................................... 21 Skills Practice .................................................. 22 Homework Practice ......................................... 23 Problem-Solving Practice ................................ 24 Enrich .............................................................. 25
Answers ................................................. A1–A28
Lesson 4-5 Different Ways to Show Data Reteach ........................................................... 26 Skills Practice .................................................. 27 Homework Practice ......................................... 28 Problem-Solving Practice ................................ 29 Enrich .............................................................. 30
iii
Teacher’s Guide to Using the Chapter 4 Resource Masters The Chapter 4 Resource Masters includes the core materials needed for Chapter 4. These materials include worksheets, extensions, and assessment options. The answers for these pages appear at the back of this booklet. All of the materials found in this booklet are included for viewing and printing on the TeacherWorks Plus™ CD-ROM.
Chapter Resources
Skills Practice The Skills Practice worksheet for each lesson focuses on the computational aspect of the lesson. The Skills Practice worksheet may be helpful in providing additional practice of the skill taught in the lesson. It also contains word problems that cover the skill. Spaces for students’ answers are provided on the worksheet.
Graphic Organizer (page 2) This master is a tool designed to assist students with comprehension of grade-level concepts. You can use this graphic organizer in coordination with the appropriate lesson. While the content and layout of these tools vary, their goal is to assist students by providing a visual representation from which they can learn new concepts.
Homework Practice The Homework Practice worksheet provides an opportunity for additional computational practice. The Homework Practice worksheet includes word problems that address the skill taught in the lesson. Spaces for students’ answers are provided on the worksheet.
Student Glossary (page 3) This master is a study tool that presents the key vocabulary terms from the chapter. You may suggest that students highlight or star the terms they do not understand. Give this list to students before beginning Lesson 4-1. Remind them to add these pages to their mathematics study notebooks. Anticipation Guide (page 4) This is a survey designed for use before beginning the chapter. You can use this survey to highlight what students may or may not know about the concepts in the chapter. If feasible, interview students in small groups, asking them the questions in the guide. There is space for recording how well students answer the questions before they complete the chapter. You may find it helpful to interview students a second time, after completing the chapter, to determine their progress.
Enrich The Enrich worksheet presents activities that extend the concepts of the lesson or offer a historical or multicultural look at the lesson’s concepts. Some enrichment materials are designed to widen students’ perspectives on the mathematics they are learning. Resources for Problem-Solving In recognition of the importance of problemsolving strategies, worksheets for problemsolving lessons follow a slightly different format. For problem-solving lessons, a twopage Reteach worksheet offers a complete model for choosing a strategy. For each Problem-Solving Strategy lesson, Reteach and Skills Practice worksheets offer reinforcement of the strategy taught in the lesson. In contrast, the Problem-Solving Investigation worksheets include a model strategy on the Reteach worksheets and provide problems requiring several alternate strategies on the practice worksheets.
Games (page 5) A game is provided to reinforce chapter concepts and may be used at appropriate times throughout the chapter.
Resources for Lessons Reteach Each lesson has an associated Reteach worksheet. In general, the Reteach worksheet focuses on the same lesson content but uses a different approach, learning style, or modality than that used in the Student Edition. The Reteach worksheet closes with computational practice.
iv
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Problem-Solving Practice The ProblemSolving Practice worksheet presents additional reinforcement in solving word problems that applies both the concepts of the lesson and some review concepts.
Assessment Options The assessment masters in the Chapter 4 Resource Masters offer a wide variety of assessment tools for monitoring progress as well as final assessment. Individual Progress Checklist This checklist explains the chapter’s goals or objectives. Teachers can record whether a student’s mastery of each objective is beginning (B), developing (D), or mastered (M). The checklist includes space to record notes to parents as well as other pertinent observations. Chapter Diagnostic Test This one-page test assesses students’ grasp of skills that are needed for success in the chapter. Chapter Pretest This one-page quick check of the chapter’s concepts is useful for determining pacing. Performance on the pretest can help you determine which concepts can be covered quickly and which specific concepts may need additional time.
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Mid-Chapter Test This one-page chapter test provides an option to assess the first half of the chapter. It includes both multiplechoice and free-response questions. Vocabulary Test This one-page test focuses on chapter vocabulary. It is suitable for all students. It includes a list of vocabulary words and questions to assess students’ knowledge of the words. Oral Assessment This two-page test consists of one page for teacher directions and questions and a second page for recording responses. Although this assessment is designed to be used with all students, the interview format focuses on assessing chapter content assimilated by ELL students. The variety of approaches includes solving problems using manipulatives as well as pencil and paper. Listening Assessment This two-page assessment contains one page for teacher directions and one page for responses/ recordings. This assessment, too, is suitable for all students but is designed primarily for use with students who may have difficulty reading test materials. The assessment directions progress in difficulty from simple at the beginning of the year to more extensive at the end of the year.
Chapter Project Rubric This one-page rubric is designed for use in assessing the chapter project. You may want to distribute copies of the rubric when you assign the project and use the rubric to record each student’s chapter project score. Foldables Rubric This one-page rubric is designed to assess the chapter Foldable. It is written to the students, telling them what you will be looking for as you evaluate their completed Foldable.
Leveled Chapter Tests • Form 1 assesses basic chapter concepts through multiple-choice questions and is designed for use with below-level students. • Form 2A is designed for on-level students and is primarily for those who may have missed the Form 1 test. It may be used as a retest for students who received additional instruction following the Form 1 test. • Form 2B is designed for students with a below-level command of the English language. • Form 2C is a free-response test designed for on-level students. • Form 2D is written for students with a below-level command of the English language. Cumulative Standardized Test Practice This two-page test, aimed at on-level students, offers a page of multiplechoice questions and a page of free-response questions.
Answers The answers for the Anticipation Guide and Lesson Resources are provided as reduced pages with answers appearing in black. Full size line-up answer keys are provided for the Assessment Masters.
4
Name
Graphic Organizer Frequency Chart
A suggestion for how to complete this graphic organizer can be found in the answer pages at the back of this book.
3
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
1
4
Tell a friend what you learned.
Grade 2
2
Chapter 4
Name
Student Glossary
Vocabulary Term
Vocabulary Lesson Builder 3–6
4
Definition / Description / Example
bar graph
A graph that uses bars to show data. [Lesson 4.4]
data
Information collected from a survey or experiment. [Lesson 4.1]
key
Tells what or how many each symbol stands for. [Lesson 4.2]
mode
The number that occurs most often in a set of numbers. Example: 7, 4, 7, 10, 7, and 2. The mode is 7. [Lesson 4.6]
pictograph
A type of graph that uses the same pictures to show each of the data collected. [Lesson 4.2]
Favorite Flower tulip daisy Each
stands for 2 votes
picture graph A graph that has different pictures to show information collected. [Lesson 4.2] 'MU(&CRRM2AFMMJ
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
!SQ !GIC 6?JI
range
The difference between the greatest and least number in a set of data. Example: 4, 7, 10, and 2. 10 is the greatest and 2 is the least. The range is 8. [Lesson 4.6]
survey
To collect data by asking people the same questions. Example: this survey shows favorite games. [Lesson 4.1]
symbol
Something that stands for something else. Example: the symbol for add is +. [Lesson 4.2]
tally marks
A mark used to record data collected in a survey.
&AVORITE'AMES
[Lesson 4.1]
Grade 2
3
Chapter 4
4
Name
Anticipation Guide
Before you begin Chapter 4, ask students the following questions. You may want to ask the same questions after students complete the chapter. Before Chapter
After Chapter 1.
Favorite Comic Book Super Egg The Mystery How many people voted? 2. Favorite Bears Grizzly Polar Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
KEY: Each
stands for 2 bears.
How many people voted for polar bears? 3. Una has 5 games. Matt has 2 games. Tommy has 4 games. Una and Tommy want to know how many do they have together. Write a number sentence to show the total number of games.
4. Jan wrote down how many hours a day she practiced her flute. Look at the data: 1, 1, 1, 1, 2, 2. What is the mode?
Grade 2
4
Chapter 4
Name
4
Chapter 4 Game Lesson Game3–6
Fruity Arrows
Ready You will need: Number cube 2 game pieces 3 crayons, each a different color
Set Copy and enlarge game board.
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Each player chooses a game piece and makes a fruit graph. Players predict which fruit they will land on most often.
GO! 1. Toss the number cube and move that many places, following the path of the arrows. 2. Each player colors the square on the graph that matches the square landed on. The first player to finish the game gets 3 points. 3. Correct predictions on the fruit graph receive 5 points. The player with the most points wins.
Grade 2
5
Chapter 4
Name
4-1
Reteach
2SDAP1.1, 2SDAP1.4
Take a Survey
Use the survey to answer each question. Look at your classmates. Make one tally mark to record what each classmate is wearing. Complete the chart. Clothes in the Classroom Jeans Sweaters T-Shirts Skirts 1. How many students are wearing sweaters? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. How many students are wearing t-shirts?
3. Which got more tallies, jeans or skirts?
4. What item of clothing is worn the least?
5. What item of clothing is worn the most?
Grade 2
6
Chapter 4
Name
Skills Practice
2SDAP1.1, 2SDAP1.4
Take a Survey
Use the survey to answer each question. Ask classmates which hobby they like best. Use tally marks to record their answers. Complete the chart. Favorite Hobby Sports Building Models Painting Playing Music
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
1. How many tally marks did playing music get?
2. Which hobby has the most tally marks?
3. Wes is starting a Craft Club. He wants to invite the students who like building models or painting. Write a number sentence to show how many students Wes should invite. +
Grade 2
4. Sue wants to add cooking to the chart. Three students decide to change their vote from playing music to cooking. How many tallies are left for playing music?
=
7
Chapter 4
Chapter Resources
4-1
Name
4-1
Homework Practice
2SDAP1.1, 2SDAP1.4
Take a Survey
Ask ten people what breakfast foods they like best. Complete the chart. Use tally marks to show data. Favorite Breakfast Foods Cereal Eggs Fruit Toast Use the survey to answer each question. 1. Which food did they like least? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. Which got more votes, cereal or toast?
3. How many like eggs and fruit best? Write a number sentence to solve. +
=
4. Tina wants to make breakfast for them. How many people will she need to make cereal for?
Grade 2
8
Chapter 4
Name
Problem-Solving Practice
2SDAP1.1, 2SDAP1.4
Take a Survey
Solve. 1. Lin wants to take a survey about favorite games. Which question should she ask? Put a ✓ beside the answer.
2. Jim is taking a survey about favorite games. He asks 7 students. How many tally marks will his chart show?
Where do you like to play?
tally marks
What is your favorite game? Who are your friends?
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Favorite Amusement Ride
Total
Roller Coaster
6
Ferris Wheel
10
Bumper Cars
4
3. Which ride got the most votes?
4. How many more people voted for the Ferris wheel than the bumper cars? more people
Which ride got the least votes?
Grade 2
Tally
9
Chapter 4
Chapter Resources
4-1
Name
4-1
Enrich
2SDAP1.1, 2SDAP1.4
Pilar’s Picture Collection
Use the clues to finish the survey. Pilar likes to collect pictures of her favorite animals. She wrote some clues about her collection. Use the clues to determine how many pictures are in her collection. There are three times as many rabbits as there are cats. There are two more frog pictures than dog pictures. There are twice as many dog pictures as there are cat pictures. There are four cat pictures. Make tally marks to show the number of pictures of each animal. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Animal Dog
tally marks
Cat Rabbit Frog
How many animal pictures does Pilar have in all?
Grade 2
10
Chapter 4
Name
4-2
Reteach
2SDAP1.2, 2SDAP1.4 Chapter Resources
Picture Graphs
The picture graph shows the votes for favorite sport. Favorite Sport Baseball Basketball Soccer Use the picture graph. Fill in the pictograph below.
Baseball Sport
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Favorite Sport
Basketball Soccer
Key: Each
stands for 2 votes.
1. How many more students voted for baseball than for basketball? more students 2. Which sport is the favorite? 3. How many students voted in all?
Grade 2
11
Chapter 4
Name
4-2
Skills Practice
2SDAP1.2, 2SDAP1.4
Picture Graphs
Some students voted for their favorite book. Show their tally chart as a pictograph. Use the graph to answer each question. Favorite Book
Favorite Book
Space Raiders
Space Raiders
Beneath the Sea
Beneath the Sea
House in the Woods
House in the Woods
Puppet Street
Puppet Street
Key: Each
stands for 2 votes.
1. How many children voted for House in the Woods?
for Beneath the Sea? 3. How many children in all voted for Space Raiders and Puppet Street? 4. Lila wants to read the book with the least votes. Which book should she read? 5. Rick, Tom, and Cindy like Space Raiders the best. If their votes are added to the survey, will Space Raiders have the most votes?
Grade 2
12
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. How many more children voted for Puppet Street than voted
Name
4-2
Homework Practice
2SDAP1.2, 2SDAP1.4 Chapter Resources
Picture Graphs
Preparation: Crayons are needed for this activity. The students voted for their favorite color. Show the votes on the picture graph. Use the data. Draw one crayon for each vote. Use the graph to answer each question. Data:
Red
Blue
Green
Purple
Our Favorite Color Red
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Blue Green Purple
1. How many more students chose red than green? 2. How many students voted for either green or purple? 3. How many students voted in all? 4. If two more students vote for green, which color will now have the least votes?
Add their votes to the graph.
5. Now look at the graph. Color the rows that show the same number of votes. Grade 2
13
Chapter 4
Name
4-2
Problem-Solving Practice
2SDAP1.2, 2SDAP1.4
Picture Graphs
Use the graph to solve the problems. 1. Which flower got the
Favorite Flower
most votes?
tulip
2. How many votes did the lily get?
daisy rose
votes
lily Each
3. Which flower got 6 votes? stands for 2 votes
4. How many total votes did the daisy and the rose get? votes
a number sentence to find out. The tulip got
more votes than the daisy.
6. Use the data from the pictograph above to make a picture graph. Favorite Flower tulip daisy rose lily
Grade 2
14
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5. How many more votes did the tulip get than the daisy? Write
Name
Enrich
2SDAP1.2, 2SDAP1.4
Gym Games
Mr. Carter took a survey of his gym classes to find out their favorite games. These are the games that received the most votes. Jingle Jump Rope Total Tether Ball Touchdown Tag Double Disc Golf
9 11 5 8
Use this information to create a pictograph: Favorite Gym Games Jingle Jump Rope
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Total Tether Ball Touchdown Tag Double Disc Golf
Key: Each
stands for one vote.
Use the information from the pictograph to answer these questions. 1. What is the number of students who voted? 2. How many more students voted for Total Tether Ball than Touchdown Tag? 3. What if each
stands for two votes? How many happy faces
would be drawn for Double Disc Golf? Grade 2
15
Chapter 4
Chapter Resources
4-2
Name
4-3
Reteach (1)
2MR2.2, 2AF1.3
Problem-Solving Strategy: Write a Number Sentence
How many stuffed animals does Ella have? Ella’s Toy Collection Stuffed Bears Stuffed Mice Dolls
Step 1 Understand
What do I know? Bears are stuffed. Mice are stuffed.
Step 2 Plan
What can I do?
Step 3 Solve
Write a number sentence.
Step 4 Check
Are there 13 stuffed animals shown in the chart?
Grade 2
I will write a number sentence to add the bears and mice.
bears + animals
16
mice =
stuffed
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
What do I need to find? How many bears and mice are there in all?
Name
4-3
Reteach (2)
2MR2.2, 2AF1.3 Chapter Resources
Problem-Solving Strategy: Write a Number Sentence
Use the graphs to answer the questions. Write a number sentence to solve. Ms. Garcia’s Shopping List Tomatoes Potatoes Chickens 1. How many vegetables will Ms. Garcia buy? tomatoes
potatoes =
vegetables
Nate’s World Stamp Collection
= 2 stamps
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Italy Japan Mexico
2. How many more of Nate’s stamps are from Japan than are from Mexico? from Japan
from Mexico =
more stamps
3. How many stamps are from either Italy or Mexico? from Italy
from Mexico =
Grade 2
stamps 17
Chapter 4
Name
4-3
Skills Practice
2MR2.2, 2AF1.3
Problem-Solving Strategy: Write a Number Sentence
Use the graph. Write a number sentence to solve. Number of Animals at Pablo’s Pets Parrots Snakes Lizards
1. How many more lizards than snakes? -
=
2. Pablo takes a photo of each parrot and each snake. How many photos does Pablo take? +
=
photos
Key: Each for 2 items.
Paper
stands
Plastic Glass
3. How many more paper items than glass items? -
=
4. The Evans family can put plastic and glass items in the same bin. How many items are in this bin? +
=
items
5. Jim knows his family recycles twice as much paper as the Evans family does. How many paper items does Jim’s family recycle? + Grade 2
=
paper items 18
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Evans Family Recycling
Name
4-3
Homework Practice
2MR2.2, 2AF1.3 Chapter Resources
Problem-Solving Strategy: Write a Number Sentence
Use the graph to answer the questions. Write a number sentence to solve. Mr. Bunn’s Class Lunch Peanut Butter & Jelly Sandwich Salad Tuna Sandwich 1. How many more students ate peanut butter and jelly sandwiches than salads?
-
=
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. How many students ate either a salad or a tuna sandwich? +
=
3. How many students ate a sandwich? +
=
4. Drew wants to know how many more tuna sandwiches than salads.
-
=
5. Mr. Bunn wants to bring 6 extra salads for the next class lunch. How many salads then? +
Grade 2
=
19
Chapter 4
Name
4-3
Enrich
2MR2.2, 2AF1.3
Soccer Sentences
Use number sentences to finish the chart. Write the total number of votes for each team. Favorite Soccer Team Tally
Team
Total
Silver City Stars Brownville Beavers Winston Wildcats 1. Cass, Polly, and Will each add a vote for the Brownville Beavers. Now the Brownville Beavers have 4+
=
votes!
Silver City Stars have 7 +
+
=
votes!
3. Students are done voting! The total number of student votes is 29. How many votes are there for the Winston Wildcats? 29 –
-
=
votes
4. Which team has the greatest number of votes?
Grade 2
20
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. Nick and Ben each add a vote for the Silver City Stars. Then, Luisa and Chen add their votes for the same team. Now the
Name
4-4
Reteach
2SDAP1.1, 2SDAP1.4 Chapter Resources
Bar Graphs
Preparation: Crayons are needed for this activity. Bar graphs use bars to show data. You can make a bar graph with data you read. Read the data to complete the bar graph. Favorite Fruit Apples Bananas Oranges Pears
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
0
1
2
3
4
5
6
Number of Votes
Data: Four people voted for apples. Show this on the bar graph. Five people voted for oranges. Show this on the bar graph. Two people voted for pears. Show this on the bar graph. Three people voted for bananas. Show this on the bar graph. Answer each question. 1. What is the title of this bar graph? 2. How many kinds of fruit are shown in the bar graph? 3. How many votes did apples get? 4. What is the favorite fruit? Grade 2
21
Chapter 4
Name
4-4
Skills Practice
2SDAP1.1, 2SDAP1.4
Bar Graphs
Preparation: Crayons are needed for this activity. Use data from the chart to make a bar graph. Color one space for each vote. Then answer each question. Favorite Bird Bird
Tally
Total
11
Robin Blue Jay Swan Favorite Bird
Blue Jay Swan
0 1 2 3 4 5 6 7 8 9 10 11 12 Number of Votes
1. Which bird got the most votes? 2. How many more students voted for the robin than the swan?
3. How many votes for blue jays does the graph show? 4. How many students voted in all? Grade 2
22
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Robin
Name
Homework Practice
2SDAP1.1, 2SDAP1.4
Bar Graphs
Preparation: Crayons are needed for this activity. Ms. Costa’s class took a survey. Look at their tally chart.
Make a bar graph with the data. Then, answer the questions. Our Favorite Music
Our Favorite Music Country Rock
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Jazz
Country Rock
Jazz
10 9 8 7 6 5 4 3 2 1 0
1. How many students voted for jazz or country? Write a number sentence to solve.
+
=
2. How many more students voted for rock than country? Write a number sentence to solve.
-
=
3. How many students voted? 4. Trey, Chris, and Ruth voted. Trey’s favorite music got 4 votes. Chris’ favorite music did not get the most votes. What is Ruth’s favorite music? Grade 2
23
Chapter 4
Chapter Resources
4-4
Name
4-4
Problem-Solving Practice
2SDAP1.1, 2SDAP1.4
Bar Graphs
Number of People
Use the bar graph to solve each problem. 4 3
people
2
2. How many people visited the forest?
1 0
5
Beach
Mountain Places
Forest
people 3. Which fruit or fruits got the most votes?
Favorite Fruit
4 3
4. Which got the fewest votes?
2 1 0
How many votes did this fruit get?
Grapes Cherries Oranges Melons Fruits
votes 6. How many people voted for their favorite fruit in all? Write the number sentence to find out.
5. How many more votes did oranges get than grapes? Write a number sentence to compare.
people voted in all.
more votes
Grade 2
24
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Number of Votes
1. How many people visited the beach?
Places People Visit
Name
Enrich
2SDAP1.1, 2SDAP1.4
Favorite Flavor Bar Graph
Preparation: Crayons are needed for this activity. Hannah is planning a party. She will serve frozen yogurt. She asks her friends to name their favorite yogurt flavor. This is the data that she collected: Cherry is the favorite of 3 friends. Vanilla is the favorite of 4 friends. Strawberry is the favorite of 5 friends. Chocolate is the favorite of 7 friends. Use this information to make a bar graph. Title: Favorite Frozen Yogurt
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
8 7 6 5 4 3 2 1 chocolate
cherry
strawberry
vanilla
If Hannah can only buy two flavors, which two flavors should she buy? Why?
Grade 2
25
Chapter 4
Chapter Resources
4-4
Name
4-5
Reteach
2SDAP1.2, 2AF1.3
Different Ways to Show Data
You can show the same data different ways. You can use the data on one graph to make more graphs. Count how many tallies to help. Favorite Meal Breakfast Lunch Dinner 1. Use the data from the tally chart to make the pictograph. Favorite Meal Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Breakfast Lunch Dinner Key: Each
stands for 1 vote.
2. Use the data from the pictograph to color the bar graph. Favorite Meal
Meal
Breakfast Lunch Dinner
0
1
2
3
4
5
6
7
8
Number of Votes Grade 2
26
Chapter 4
Name
4-5
Skills Practice
2SDAP1.2, 2AF1.3 Chapter Resources
Different Ways to Show Data
Preparation: Crayons are needed for this activity. Use the tally chart. Make a pictograph and a bar graph to show the data. Then answer the questions. Our Favorite Dinner
Our Favorite Dinner Tally
Total
Dinner
Food
6
Spaghetti
Spaghetti Soup Taco
Soup
0
Taco
1
2
3
4
5
6
7
8
Number of Votes
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Our Favorite Dinner Spaghetti Soup Taco Key: Each
stands for 2 votes.
1. hich di e got the o t ote 2. hich di e got the e e t ote 3. o a y tude t oted 4. o a y o e tude t cho e taco tha oup 5. i li t the di e
o lea t a o ite to o t a o ite hat
di e i eco d o he li t Grade 2
27
Chapter 4
Name
4-5
Homework Practice
2SDAP1.2, 2AF1.3
Different Ways to Show Data
Preparation: Crayons are needed for this activity. Use the data. Make a tally chart, a pictograph, and a bar graph to show the data. Piano
Guitar
Drums
Our Favorite Instruments Piano Guitar Drums
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Our Favorite Instruments Piano Guitar Drums Key: Each
= 2 instruments.
Our Favorite Instruments Piano Guitar Drums
0 1 2 3 4 5 6 7 8 9 10 Grade 2
28
Chapter 4
Name
Problem-Solving Practice
2SDAP1.2, 2AF1.3
Different Ways to Show Data
Complete the graphs. Use the graphs to solve. 1. How many children voted for popcorn?
Favorite Snacks Pretzels
children
Popcorn
2. How many votes did pretzels get?
Fruit Each
stands for 2 votes
votes
-
Favorite Snacks Snack
Tally
Total
Pretzels
=
Popcorn
children Fruit
Favorite Snacks
4. Which snack got the greatest number of votes?
Pretzels
Snacks
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. How many more children voted for pretzels than popcorn? Write a number sentence.
Popcorn
Which graph did you use to answer? Explain.
Fruit 0 1 2 3 4 5 6 7 8 9 10
Number of Votes
Grade 2
29
Chapter 4
Chapter Resources
4-5
Name
4-5
Enrich
2SDAP1.2, 2AF1.3
Displaying Data in Different Ways
Look at the tally chart to compare the number of players that are on different kinds of sport teams. Record the number of players below the tally marks. Sport
Baseball
Basketball
Football
Soccer
Tally Total Use the information from the tally table to make a pictograph and a bar graph. Title Baseball
Football Soccer Key: Each X stands for 2 players Title Baseball Basketball Football Soccer 1
Grade 2
2
3
4 5 6 7 8 Number of Players 30
9
10 11 12
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Basketball
Name
4-6
Reteach
2SDAP1.3, 2SDAP1.4 Chapter Resources
Range and Mode
Range and mode are ways to talk about data. Data is information. Looking at data in a simple way can help you find the range and mode. Mrs. Lee’s class did a survey about TVs in the home.
Students
Number of TVs
8 7 6 5 4 3 2 1
1
2
3
Number of TVs
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
1 2 3 Number of TVs
Use the graphs to find mode and range.
Remember: mode = most.
1. On both graphs, circle the number of TVs you see most often. This number is the mode.
is the mode.
2. Look at the graph. Write the greatest number of TVs a family has:
.
Write the least number of TVs a family has: The range is the difference between these numbers. Write a number sentence to find the range: The range is Grade 2
-
=
. 31
Chapter 4
Name
4-6
Skills Practice
2SDAP1.3, 2SDAP1.4
Range and Mode
Norah has recorded how many people can sit at each table in her cafe. The data shows how many of each table she has. Find the mode. Find the range. -MP?FlQ"?DC2C?RGLE -SK@CPMD2C?RQ
-SK@CPMD3?@JCQ
Remember: mode is the most; range is the difference.
3
4
5
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2
6
Number of Seats at Each Table
Use the graph to solve. 1. Put the data in order from least to greatest.
2, 2. Circle the mode on the graph. Write the mode. 3. Find the range. Write a number sentence to solve. Grade 2
= 32
Chapter 4
Name
4-6
Homework Practice
2SDAP1.3, 2SDAP1.4 Chapter Resources
Range and Mode
Mrs. Sand’s class recorded how many trees they have in their yards at home. Find the mode. Find the range. Trees Number of Trees
4
5
6
7
Number of Yards Remember: mode is the most; range is the difference.
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
4
5
6
7
Trees Use the graph to solve. 1. What is the greatest number of trees? 2. What is the least number of trees? 3. What is the range? 4. What is the mode? 5. Nick’s yard has 5 trees. His mom wants to plant 2 new trees. Would this change the mode? 6. Elena’s yard has 4 trees. Her father has to cut down 1 tree. What is the range now? Grade 2
33
Chapter 4
Name
4-6
Problem-Solving Practice
2SDAP1.3, 2SDAP1.4
Range and Mode
Use the graph to solve. Number of Seashells We Have
1
2
3
4
Number of Shells
1. Lee says that no one has more than 4 shells. Is she right?
2. Nick says that no one has less than 2 shells. Is he right?
number of shells he would have to plan for? 4. Sara has 4 shells. Her mom did not have any shells. Sara gave 1 shell to her. Does this change the range? 5. Rhonda, Tom, Liz, and Miguel all have 4 shells. If they each find 1 more shell, does the mode change? If so, what is the new mode? 6. Would Rhonda, Tom, Liz, and Miguel’s new shells change the range? Write a number sentence to solve. Grade 2
= 34
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. Leo wants to keep his shells in a box. What is the greatest
Name
4-6
Enrich
2SDAP1.3, 2SDAP1.4 Chapter Resources
Data Details
The class went to the zoo. They made a graph of their favorite animals. Favorite Zoo Animals Great Apes Snakes Tigers Zebras Penguins Key: each
= 2 students
Write the number of votes each animal received.
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Great Apes
Snakes
Tigers
Zebras
1. What is the range of the data?
animals
2. What is the mode of the data?
animals
Penguins
3. If you were planning a trip to the zoo, how could you use this information?
Grade 2
35
Chapter 4
Name
4-7
Reteach (1)
2MR1.1, 2NS3.1
Problem-Solving Investigation: Choose a Strategy
Aaron has 3 muffin pans. Each pan can hold 6 muffins. How many muffins can Aaron bake?
Understand
What do I know? Aaron has 3 pans. Each pan holds 6 muffins. What do I need to find out? How many muffins can Aaron bake?
Plan
How will I find how many? I can make a table. A table can show both drawings and numbers clearly.
Number of Pans
Number of Muffins
1 2
6 12
3
18
Aaron can bake Check
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Solve
muffins.
Look back. Did I use the table to find out how many?
Grade 2
36
Chapter 4
Name
Reteach (2)
2MR1.1, 2AF1.2
Problem-Solving Investigation: Choose a Strategy
Solve.
Problem-Solving Strategies Draw a Picture Find a Pattern Make a Table Show your work here.
1. Jake is making up a new dance. He hops, hops, turns, hops, hops, and turns. What do you think he will do next?
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. 3 turtles can fit in 1 tank. Jose has 3 tanks. How many turtles can he have? turtles 3. Joy brings 7 treats for the class. Jessie brings 14 treats. How many more treats did Jessie bring than Joy?
4. Jin, Jack, and Julia want to feed the birds. They each bring 2 bags of seed. How many bags of seed are there in all? bags of seed Grade 2
37
Chapter 4
Chapter Resources
4-7
Name
4-7
Skills Practice
2MR1.1, 2AF1.2
Problem-Solving Investigation: Choose a Strategy
Solve.
Problem-Solving Strategies Draw a Picture Find a Pattern Make a Table Show your work here.
1. Shandra is giving a treat bag to each of her 3 friends. She puts 4 pear slices in each bag. How many pear slices are there in all? pear slices
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. Liam is writing the number of eggs his hens have. One hen has 2 eggs. 2 hens have 4 eggs. 3 hens have 6 eggs. Liam guesses that 4 hens will have 8 eggs. Is this a good guess? 3. Kiki, Greg, and Seth are making snowmen. Each snowman needs 1 carrot for a nose. Kiki brings 4 carrots. Greg brings 2 carrots. Seth brings 5 carrots. Are there enough carrots to make 12 snowmen? How many snowmen can they make? Grade 2
38
Chapter 4
Name
Homework Practice
2MR1.1, 2AF1.2
Problem-Solving Investigation: Choose a Strategy
Solve.
Problem-Solving Strategies Draw a Picture 1. Look at the table. Do you see Find a Pattern a pattern? If so, use the Make a Table pattern to complete the table. How long does it take to get to Windy Hollow Station? Town
Greenville Station
2 hours
Oaktown Station
4 hours
New Mountain Station
6 hours
Windy Hollow Station
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Travel Time from Mayfield Station
hours
2. Olive, Sean, and Luis are saving soup labels. Olive has 10, Sean has 7, and Luis has 13. How many more soup labels does Luis have than Sean? 3. Mr. Bell wants his students to put on their gloves before going outside. There are 21 students in Mr. Bell’s class. Each student has 2 gloves. How many gloves do Mr. Bell’s students have in all? 4. Suzie, Simon, and Sen each had 4 bottles of sports drink during their softball game. How many bottles of sports drink did they have in all?
Grade 2
39
Chapter 4
Chapter Resources
4-7
Name
4-7
Enrich
2MR1.1, 2AF1.2
Fix the Graph
Bradley’s class took a survey to find out how the students got to school. Here are the results: How We Get to School Bus Walk Van Car
12 8 4 2
They used the information to make a graph. Bradley started his graph, but he noticed that he had a problem and could not finish. What changes can Bradley make to complete the graph? Title: How We Get to School
Bus
Walk
Van
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
10 9 8 7 6 5 4 3 2 1 Car
Explain how Bradley can fix his graph.
Draw the graph on the back of the page or another piece of paper. Grade 2
40
Chapter 4
Name
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Individual Progress Checklist
Mastery Level Learning Goals Comments B D M Lesson 4-1 Use tally marks to record and compare data in surveys. 4-2 Make, read, and use data in picture graphs and pictographs. 4-3 Use a table or graph to solve problems. 4-4 Make, read, and use data in a bar graph. 4-5 Represent the same data in more than one way. 4-6 Identify the range and mode in a set of data. 4-7 Choose an appropriate strategy to solve problems. B = Beginning; D = Developing; M = Mastered Note to Parents
Grade 2
41
Chapter 4
Chapter Resources
4
Name
4
Diagnostic Test Are you ready for Chapter 4?
Circle the group that has more. 1.
2.
Look at the tally chart. Favorite Snack Cheese Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Fruit Crackers
3. How many students picked fruit? 1
4.
2
3
4
5
How many boxes are shaded?
5. 5¢
1¢
10¢
7¢
Ms. Kim’s class is running the school store. Help them put the tags in order from least to greatest. Grade 2
42
Chapter 4
Name
4
Use the data to complete the tally chart. Make one tally mark for each dot. [Lesson 4.1] 1.
Birch
Willow
Oak
•••••••
•••••
•••
What is Your Favorite Tree? Birch Willow Oak
Use the graph to solve. Favorite Bird Mockingbird Wren
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Bluebird
2. Which bird has the greatest number of votes? [Lesson 4.2]
Gina recorded how many hours a day she spent swimming at camp. She ordered her data from least to greatest: 1, 1, 1, 2, 2, 2, 2, 3. [Lesson 4.6] 3. What is the range of this data? Write a number sentence to solve.
-
=
4. What is the mode of this data?
Grade 2
43
Chapter 4
Chapter Resources
Chapter Pretest
Name
4
Mid-Chapter Test
Write a number sentence to solve. Use the graph. [Lesson 4.2, 4.3] Animals in the Zoo Monkey Parrot Snake Panther
1. How many more parrots than monkeys? -
=
2. If the zoo gets 2 new snakes, how many snakes and parrots +
+
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
will there be?
=
Use the bar graph to make a tally chart. [Lesson 4.1, 4.4] 3.
Animals in The Zoo
Animals in the Zoo
Monkey
Monkey
Parrot
Parrot Snake
Snake
Panther
0
Grade 2
1
2
3
4
Panther
5
44
Chapter 4
Name
Vocabulary Test Chapter Resources
4
Use the words in the word bank. Write the correct word in the blank. data key mode
range survey symbol
1. Mrs. Bean asked every child in her class the same question. She recorded their answers. Her class took a . 2. Remember to add a the pictures stand for!
with your pictograph to show what
3. Sam took a survey and recorded his
in a bar graph.
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
4. 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 7. For this data, 7 - 4 = 3 shows the
.
5. 2, 2, 3, 3, 3, 3, 5, 8, 8. For this data, the
is 3.
Match each word to the correct picture. Favorite Reptiles
6. pictograph
Snakes Turtles
0 1 2 3 4 5 6 Number of Votes
Favorite Sport
7. bar graph
Baseball Basketball
8. picture graph
Favorite Snack Vegetables Fruit Each
Grade 2
45
stands for 2 votes.
Chapter 4
Name
4
Oral Assessment
Preparation: Unit cubes and board access is needed for this assessment. It is necessary to prepare the board by drawing a 3-row chart labeled “Favorite Pies.” The subheadings must be “peach,” “cherry,” and “apple”. A frequency chart labeled “County Fair Pie Sales” is also needed. It is necessary to draw 4 Xs above 1, 3 Xs above 2, and 2 Xs above 3. Directions: This test targets those students who have developing verbal skills—both oral and written. Ask the questions below and have students record their answers, or record the answers they supply. 1. Draw 4 tally marks in the peach row. Draw 2 tally marks in the cherry row. Say, 8 people chose “apple” as their favorite pie. Show their choice with tally marks. 2. Clear the peach row. Leave the tally marks in the cherry row. Draw 4 peaches in the peach row and 8 apples in the apple row. Say, If I am making a picture graph, how many cherries should I draw? 3. Ask, How many more votes for apples than votes for peaches? Have children show the answer with unit cubes.
5. Have students show the range in unit cubes. Notes and comments
Grade 2
46
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
4. Point to the “County Fair Pie Sales” chart. Explain that this chart shows the number of pies bought by families visiting the fair. Ask, Which number do you see most often? Ask, What do we call this number?
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
4
1.
2.
Grade 2
Chapter Resources
Name
Oral Assessment Response Sheet
3.
4.
5.
47
Chapter 4
Name
4
Listening Assessment
Preparation: Base-ten blocks are needed for this assessment. Ask students to complete each of the following groups of tasks. 1. Draw 4 tally marks in the juice row. Draw 7 tally marks in the milk row. Use ones cubes to show the number sentence that tells the difference. 2. Write three 5’s. Write two 6’s. Write five 7’s. Circle the mode. What is the range of this data? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. Draw 8 squares in the car row. Draw 3 circles in the doll row. Draw 5 triangles in the ball row. Which toy is the favorite? How many votes for cars and balls? Circle the row you did not need to solve the problem.
Grade 2
48
Chapter 4
Name
4 1.
Favorite Drink
Chapter Resources
Listening Assessment Response Sheet Show your model here.
Juice Milk
2.
3.
Favorite Toys Car Doll
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Ball
Grade 2
49
Chapter 4
Name
4
Chapter Project Rubric
Score 3
2
1
Grade 2
50
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
0
Explanation Student successfully created a survey, recorded the data, and displayed those results in a graph. Student analyzed the information and used a graph best suited for displaying the results. Student created a summary report of the survey, succinctly explaining the results, and included relevant details like the range and mode of their data. Student successfully created a survey, recorded the data, and displayed those results in a graph. Student analyzed the information and used a graph best suited for displaying the results. Student summarized the information. Student successfully created a survey, recorded the data, and displayed those results in a graph. The graph chosen was not best suited to their results, and the summary was incomplete or deficient. Student did not successfully complete the task. The student’s graph was incomplete or incorrect, and the results were unclear.
Name
4
Score 3
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2
1
0
Grade 2
Explanation Student successfully made, labeled, and used the Foldables to record information about data and graphs. Student defined and explained chapter vocabulary, including “survey,” “range,” and “mode.” Student was able to make, read, and use data in a bar graph and a picture graph, as well as display the same data in multiple ways. Student successfully made, labeled, and used the Foldables to record information about data and graphs. Student defined and explained some chapter vocabulary, including “survey.” Student was able to make, read, and use data in a bar graph and a picture graph. Student successfully made, labeled, and used the Foldables to record information about data and graphs. Student defined and explained some chapter vocabulary, including “survey.” Student did not correctly make or use the chapter Foldables. Student was unable to define chapter vocabulary, and was unable to create or read bar and picture graphs.
51
Chapter 4
Chapter Resources
Chapter Foldables Rubric
Name
4
Chapter Test, Form 1
Read each question carefully. Fill in the circle for the correct answer.
Favorite Games Kickball Football Board Games Video Games
2. How many more children like kickball than football?
1. Which is the favorite? [Lesson 4.2]
[Lesson 4.2]
kickball
1
football
2
board games
3
video games
3. Which shows the correct tally marks for kickball?
4. What kind of graph is this? [Lesson 4.2]
[Lesson 4.1]
a tally chart a bar graph a picture graph a pictograph
GO ON
Grade 2
52
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
4
Name
4
Chapter Test, Form 1
Chapter Resources
(continued)
Favorite Water Activities Swimming Diving Body Surfing Boating
Key: Each
= 2 votes
5. How many voted?
6. How many students like body surfing or boating the best? [Lesson 4.2]
[Lesson 4.2]
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
14 16
2
28
4
32
8 16
Use the following numbers for 7 and 8. 3, 3, 3, 5, 7, 8, 8 7. What is the range of the data? [Lesson 4.6]
8. What is the mode of the data? [Lesson 4.6]
3
3
4
5
5
7
6
8
STOP
Grade 2
53
Chapter 4
Name
4
Chapter Test, Form 2A
Read each question carefully. Fill in the circle for the correct answer. What is Your Favorite Holiday? Thanksgiving Day Valentine’s Day Independence Day New Year’s Day
2. How many more people like Thanksgiving Day than Valentine’s Day? [Lesson 4.2]
1. Which holiday is the least favorite? [Lesson 4.2] Thanksgiving Day
13
Valentine’s Day
9
Independence Day
7 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
New Year’s Day
8
3. Which tally chart shows the data in the picture graph?
Favorite Holiday Thanksgiving Valentine’s Day
[Lesson 4.1, 4.5]
Independence Day
Favorite Holiday
New Year’s Day
Thanksgiving Valentine’s Day Independence Day
Favorite Holiday
New Year’s Day
Thanksgiving Valentine’s Day Independence Day New Year’s Day
GO ON Grade 2
54
Chapter 4
Name
4
Chapter Test, Form 2A
Chapter Resources
(continued)
Which is your Favorite Farm Baby? Lambs (baby sheep) Colts (baby horses) Chicks (baby chickens)
0 1 2 3 4 5 6 7 8 9 10
4. How many more people voted for chicks than colts?
5. Ben is taking the data from the bar graph and making a pictograph. If he wants 1 to stand for 2 colts, how many should he draw?
[Lesson 4.4]
13
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
4
[Lessons 4.2, 4.5]
5
4
6
3 2 1
Use the following data for Exercises 6 and 7. 1, 2, 2, 3, 5, 5, 5 6. What is the mode of the data? [Lesson 4.6]
7. What is the range of the data? [Lesson 4.6]
3
6
2
5
5
4
4
3 STOP
Grade 2
55
Chapter 4
Name
4
Chapter Test, Form 2B
Read each question. Fill in the circle for your answer. What is Your Favorite Holiday? Thanksgiving Valentine’s Day July 4th
4. Which tally chart shows the data above? [Lesson 4.1, 4.5]
1. Which holiday is liked least? [Lesson 4.2]
Thanksgiving
What is Your Favorite Holiday? Thanksgiving
Valentine’s Day
Valentine’s Day
July 4th
July 4th
What is Your Favorite Holiday?
13
Thanksgiving
9
Valentine’s Day July 4th
7 3. Which shows correct tally marks for July 4th? [Lesson 4.1]
What is Your Favorite Holiday? Thanksgiving Valentine’s Day July 4th
GO ON Grade 2
56
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. How many more people like Thanksgiving than Valentine’s Day? [Lesson 4.2]
Name
Chapter Test, Form 2B
(continued) Chapter Resources
4
Use the bar graph for 5 and 6. Which is your Favorite Farm Baby? baby sheep baby horses baby chickens
0 1 2 3 4 5 6 7 8 9 10
5. How many more people voted for baby chickens than baby horses? [Lesson 4.4] 13
9-4=5 9-4=6
4 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6. What number sentence shows problem 5? [Lesson 4.3]
9 + 4 = 13
5
Use the data for 7 and 8. 1, 2, 2, 3, 5, 5, 5 7. What is the mode?
8. What is the range?
[Lesson 4.6]
[Lesson 4.6]
3
4
2
5
5
6
STOP
Grade 2
57
Chapter 4
Name
4
Chapter Test, Form 2C
Read each question carefully. Write your answer. Use the data for 1–4.
Favorite Games Soccer T-Ball Board Games Card Games
1. Which is the favorite?
2. How many more students like card games than T-ball?
[Lesson 4.1]
[Lesson 4.2]
students 4. Fill in the bar graph for the data in the picture graph. [Lesson 4.4]
Favorite Games
10 9 8 7 6 5 4 3 2 1 0 Soccer
T-Ball
Board Games
Cards
GO ON
Grade 2
58
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. Write the correct tally marks for soccer. [Lesson 4.1]
Name
Chapter Test, Form 2C
Use the pictograph for 5–7.
(continued) Chapter Resources
4
6. How many voted? [Lesson 4.2]
Favorite Outdoor Activities Beach Riding Bikes
7. How many more students like to go to the beach than go fishing? [Lesson 4.2]
Fishing
Key: Each
= 2 votes
5. How many like to ride bikes and go fishing? Write a number sentence to solve. [Lesson 4.3]
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
+ 8.
=
School Outdoor Club Bikes
Wheels
1
2
2
.
The outdoor club has 3 bikes. Each bike has 2 wheels. How many wheels in the club? Complete the chart to solve. [Lesson 4.7]
3
Use the following sequence of numbers for 9 and 10. 9, 9, 10, 12, 13, 14, 15 9. What is the range of the data? [Lesson 4.6]
10. What is the mode of the data? [Lesson 4.6] STOP
Grade 2
59
Chapter 4
Name
4
Chapter Test, Form 2D
Read each question. Write your answer in the space. Use the data for items 1–4. Favorite Games Soccer T-Ball Checkers Cards
2. How many more like cards than T-ball? [Lesson 4.2]
1. Which is the favorite? [Lesson 4.2]
more 4. Use the picture graph to make a bar graph. [Lesson 4.4]
[Lesson 4.1]
Favorite Games
10 9 8 7 6 5 4 3 2 1 0 Soccer
T-ball Checkers
Card Games
GO ON
Grade 2
60
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. Write tally marks for soccer.
Name
Chapter Test, Form 2D
(continued) Chapter Resources
4
Use the pictograph to answer the questions. Favorite Outdoor Activities Beach Riding Bikes Fishing
Key: Each
= 2 votes
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5. How many voted? [Lesson 4.2]
6. How many more voted for the beach than fishing?
7. Write a number sentence to show how many votes for fishing and bike riding. +
=
Read each question. Use the following data. 5, 8, 8, 11, 14, 14, 14 8. What is the range? [Lesson 4.6]
9. What is the mode? [Lesson 4.6]
STOP
Grade 2
61
Chapter 4
Name
4
Cumulative Standardized Test Practice
Read each question carefully. Fill in the circle for the correct answer. Use the graph to solve.
What is Your Favorite Sandwich? Peanut butter Tuna salad Ham and cheese
Key: Each
stands for 2 votes.
2. What is the range of the data? [Lesson 4.6]
1. How many more people voted for peanut butter than tuna salad? [Lesson 4.2]
6
4
8
8
12
9
16
2 4. Which group shows the sandwiches in order from least to most favorite? [Lesson 1.6]
6 + 2 + 8 = 16 6 + 2 + 8 = 20
peanut butter, tuna salad, ham and cheese
12 + 4 + 16 = 32
ham and cheese, peanut butter, tuna salad
12 + 4 + 16 = 30
tuna salad, ham and cheese, peanut butter tuna salad, peanut butter, ham and cheese GO ON
Grade 2
62
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. Which number sentence shows the sum of all the votes? [Lesson 2.7]
Name
4
Cumulative Standardized Test Practice Chapter Resources
(continued)
Use the data to make a graph. Use the graph to answer the questions. Sander’s Farm Livestock Goats
Sheep
5. Use the data to make a tally chart. [Lesson 4.1]
Cows
6. Use , or = to complete the sentence. [Lesson 1.7]
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6 goats
7. The Sander’s children all like different animals. The farm has the most of Joe’s favorite animal. Millie’s favorite is the cow. Which animal is Kyle’s favorite?
10 sheep
8. Which of the animals at Sander’s Farm can you make 10 with? [Lesson 2.6] and
[Lesson 1.3]
9. Write two number sentences to show how many goats and sheep the farm has. STOP
[Lesson 2.1]
Grade 2
+
=
+
= 63
Chapter 4
Grade 2
Frequency Chart
Graphic Organizer
Name
A1
Grade 2
2
4
Chapter 4
Chapter 4
Answers
Grade 2
Polar
Grizzly
stands for 2 bears.
Favorite Bears
What is the mode?
4
4. Jan wrote down how many hours a day she practiced her flute. Look at the data: 1, 1, 1, 1, 2, 2.
3. Una has 5 games. Matt has 2 games. Tommy has 4 games. Una and Tommy want to know how many do they have together. Write a number sentence to show the total number of games.
How many people voted for polar bears?
KEY: Each
2.
Chapter 4
1
5+4=9
8
12
After Chapter
p
Tell a friend what you learned.
3
The Mystery
Super Egg
Favorite Comic Book
How many people voted?
1.
,
2
Before Chapter
py g
1
For every tally mark, put an X over the right number.
Mr. Lamb’s Class Book Count 1 Book 2 Books 3 Books 4 Books
Mr. Lamb asked his students how many books they each read in one week. Use a frequency chart to record their answers.
Note to Teacher: This organizer can be used to help students find range and mode. Count from the greatest number to the least number. This is the range. The number with the most Xs is the mode.
Anticipation Guide
Name
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Before you begin Chapter 4, ask students the following questions. You may want to ask the same questions after students complete the chapter.
4
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A suggestion for how to complete this graphic organizer can be found in the answer pages at the back of this book.
4
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Answers (Graphic Organizer and Anticipation Guide) ,
2SDAP1.1, 2SDAP1.4
Grade 2
6
5. What item of clothing is worn the most?
4. What item of clothing is worn the least?
3. Which got more tallies, jeans or skirts?
2. How many students are wearing t-shirts?
Chapter 4
Grade 2
=
Answers will vary.
+
3. Wes is starting a Craft Club. He wants to invite the students who like building models or painting. Write a number sentence to show how many students Wes should invite.
Answers will vary.
7
Chapter 4
Answers will vary.
4. Sue wants to add cooking to the chart. Three students decide to change their vote from playing music to cooking. How many tallies are left for playing music?
2. Which hobby has the most tally marks?
Answers will vary.
1. How many tally marks did playing music get?
Playing Music
Skirts
1. How many students are wearing sweaters?
Painting
T-Shirts
Sports
Favorite Hobby
Building Models
Answers will vary.
Sweaters
Jeans
Clothes in the Classroom
Ask classmates which hobby they like best. Use tally marks to record their answers. Complete the chart.
Take a Survey
Skills Practice
Name
Look at your classmates. Make one tally mark to record what each classmate is wearing. Complete the chart.
2SDAP1.1, 2SDAP1.4
4-1
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Use the survey to answer each question.
Take a Survey
Reteach
Name
py g
A2
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2
Use the survey to answer each question.
4-1
p
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Chapter Resources
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Answers (Lesson 4-1)
Grade 2
Take a Survey
Homework Practice
A3 =
Answers will vary.
Grade 2
Answers will vary.
8
4. Tina wants to make breakfast for them. How many people will she need to make cereal for?
+
3. How many like eggs and fruit best? Write a number sentence to solve.
Answers will vary.
2. Which got more votes, cereal or toast?
Answers will vary.
1. Which food did they like least?
Use the survey to answer each question.
Toast
Fruit
Eggs
Cereal
Favorite Breakfast Foods
Chapter 4
2SDAP1.1, 2SDAP1.4
Ask ten people what breakfast foods they like best. Complete the chart. Use tally marks to show data.
4-1
Copyright © Macmillan/McGraw Hill, a division of The McGraw Hill Companies, Inc. py g
Name
p
Take a Survey
Chapter 4
Answers
Grade 2
Bumper Cars
Which ride got the least votes?
Ferris Wheel
3. Which ride got the most votes?
9
6
more people
Chapter 4
4. How many more people voted for the Ferris wheel than the bumper cars?
4
Bumper Cars
6
Total
tally marks
10
Tally
7
Ferris Wheel
Roller Coaster
Favorite Amusement Ride
Who are your friends?
✓ What is your favorite game?
Where do you like to play?
2SDAP1.1, 2SDAP1.4
2. Jim is taking a survey about favorite games. He asks 7 students. How many tally marks will his chart show?
Problem-Solving Practice
Name
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
1. Lin wants to take a survey about favorite games. Which question should she ask? Put a ✓ beside the answer.
Solve.
4-1
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Chapter Resources
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Answers (Lesson 4-1)
2SDAP1.1, 2SDAP1.4
A4 tally marks
Grade 2
10
How many animal pictures does Pilar have in all?
Frog
Rabbit
Cat
Animal Dog
34
Make tally marks to show the number of pictures of each animal.
There are four cat pictures.
Chapter 4
There are twice as many dog pictures as there are cat pictures.
There are two more frog pictures than dog pictures.
There are three times as many rabbits as there are cats.
Pilar likes to collect pictures of her favorite animals. She wrote some clues about her collection. Use the clues to determine how many pictures are in her collection.
Use the clues to finish the survey.
Pilar’s Picture Collection
Enrich
Name
py g
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2
Picture Graphs
Reteach
Name
stands for 2 votes.
more students
Grade 2
11
18
soccer 3. How many students voted in all?
2. Which sport is the favorite?
2
1. How many more students voted for baseball than for basketball?
Key: Each
Soccer
Basketball
Baseball
Favorite Sport
Use the picture graph. Fill in the pictograph below.
Soccer
Basketball
Baseball
Favorite Sport
Chapter 4
2SDAP1.2, 2SDAP1.4
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
The picture graph shows the votes for favorite sport.
4-2
Sport
4-1
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Chapter Resources
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Answers (Lessons 4-1 and 4-2)
p
Grade 2
Picture Graphs
Skills Practice
Name
2SDAP1.2, 2SDAP1.4
Favorite Book
Key: Each
A5
2
20 Beneath the Sea
Grade 2
yes
12
Chapter 4
p
most votes?
,
5. Rick, Tom, and Cindy like Space Raiders the best. If their votes are added to the survey, will Space Raiders have the
should she read?
py g
4. Lila wants to read the book with the least votes. Which book
Street?
3. How many children in all voted for Space Raiders and Puppet
for Beneath the Sea?
2. How many more children voted for Puppet Street than voted
12
stands for 2 votes.
Puppet Street
House in the Woods
Beneath the Sea
Space Raiders
1. How many children voted for House in the Woods?
Puppet Street
House in the Woods
Beneath the Sea
Space Raiders
Favorite Book
Some students voted for their favorite book. Show their tally chart as a pictograph. Use the graph to answer each question.
4-2
Copyright © Macmillan/McGraw Hill, a division of The McGraw Hill Companies, Inc.
Picture Graphs
Homework Practice
Name
Blue
Our Favorite Color
Red
Green
Purple
18
7
purple Add their votes to the graph. ,
Chapter 4
Answers
Grade 2
number of votes.
13
blue and green Chapter 4
5. Now look at the graph. Color the rows that show the same
the least votes?
4. If two more students vote for green, which color will now have
3. How many students voted in all?
2. How many students voted for either green or purple?
1. How many more students chose red than green?
Purple
Green
Blue
Red
Data:
The students voted for their favorite color. Show the votes on the picture graph. Use the data. Draw one crayon for each vote. Use the graph to answer each question.
3
2SDAP1.2, 2SDAP1.4
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Preparation: Crayons are needed for this activity.
4-2
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Chapter Resources
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Answers (Lesson 4-2)
A6
Chapter 4
stands for 2 votes
tulip
votes
rose
3. Which flower got 6 votes?
2
2. How many votes did the lily get?
most votes?
1. Which flower got the
6 more votes than the daisy.
10 – 4 = 6
Grade 2
lily
rose
daisy
tulip
14
Favorite Flower
Chapter 4
6. Use the data from the pictograph above to make a picture graph.
The tulip got
a number sentence to find out.
5. How many more votes did the tulip get than the daisy? Write
10 votes
4. How many total votes did the daisy and the rose get?
Each
lily
rose
daisy
tulip
Favorite Flower
Use the graph to solve the problems.
2SDAP1.2, 2SDAP1.4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2
Picture Graphs
Problem-Solving Practice
Name
Copyright © Macmillan/McGraw Hill, a division of The McGraw Hill Companies, Inc. py g
4-2
p
Gym Games
Enrich
Name
2SDAP1.2, 2SDAP1.4
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
9 11 5 8
stands for one vote.
33
Grade 2
15
4 Chapter 4
stands for two votes? How many happy faces
6 more would be drawn for Double Disc Golf?
3. What if each
Touchdown Tag?
2. How many more students voted for Total Tether Ball than
1. What is the number of students who voted?
Use the information from the pictograph to answer these questions.
Key: Each
Double Disc Golf
Touchdown Tag
Total Tether Ball
Jingle Jump Rope
Favorite Gym Games
Use this information to create a pictograph:
Jingle Jump Rope Total Tether Ball Touchdown Tag Double Disc Golf
Mr. Carter took a survey of his gym classes to find out their favorite games. These are the games that received the most votes.
4-2
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Chapter Resources
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Answers (Lesson 4-2)
A7
Step 1 Understand
Dolls
Stuffed Bears Stuffed Mice
Grade 2
8 mice =
13 stuffed
yes 16
Chapter 4
Are there 13 stuffed animals shown in the chart?
bears + animals
5
Write a number sentence.
p
Step 4 Check
Step 3 Solve
the bears and mice.
I will write a number sentence to add
What can I do?
What do I need to find? How many bears and mice are there in all?
Bears are stuffed. Mice are stuffed.
What do I know?
Ella’s Toy Collection
How many stuffed animals does Ella have?
Step 2 Plan
2MR2.2, 2AF1.3
Problem-Solving Strategy: Write a Number Sentence
Reteach (1)
Name
,
Grade 2 , py g
4-3
py g
p
,
2MR2.2, 2AF1.3
Problem-Solving Strategy: Write a Number Sentence
Reteach (2)
Name
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
+
6
potatoes =
Nate’s World Stamp Collection
tomatoes
= 2 stamps
14 vegetables
16 from Mexico 4 more stamps ,
Chapter 4
Answers
Grade 2
17
10 from Italy 16 from Mexico 10 + 16 = 26 stamps
3. How many stamps are from either Italy or Mexico?
20 from Japan 20 – 16 =
from Mexico?
Chapter 4
2. How many more of Nate’s stamps are from Japan than are
Mexico
Japan
Italy
8
1. How many vegetables will Ms. Garcia buy?
Chickens
Potatoes
Tomatoes
Ms. Garcia’s Shopping List
Use the graphs to answer the questions. Write a number sentence to solve.
4-3
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Chapter Resources
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Answers (Lesson 4-3)
A8
2MR2.2, 2AF1.3
5 =
5
= 13 photos
Evans Family Recycling
+
5 Key: Each for 2 items.
-
6 =
2
stands
6 =
18 items
Grade 2
8
+
8 = 18
16 paper items Chapter 4
p
5. Jim knows his family recycles twice as much paper as the Evans family does. How many paper items does Jim’s family recycle?
12 +
4. The Evans family can put plastic and glass items in the same bin. How many items are in this bin?
8
3. How many more paper items than glass items?
Glass
Plastic
Paper
8
2. Pablo takes a photo of each parrot and each snake. How many photos does Pablo take?
10 -
1. How many more lizards than snakes?
Lizards
Snakes
Parrots
Number of Animals at Pablo’s Pets
Use the graph. Write a number sentence to solve.
Problem-Solving Strategy: Write a Number Sentence
Skills Practice
Name
,
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2 p
py g py g
4-3 2MR2.2, 2AF1.3
Problem-Solving Strategy: Write a Number Sentence
Homework Practice
Name
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
12 -
4
=
8
+
6
=
10
6
=
18 6
-
4
=
2
Grade 2
6
+
4
=
10
19
Chapter 4
5. Mr. Bunn wants to bring 6 extra salads for the next class lunch. How many salads then?
salads.
4. Drew wants to know how many more tuna sandwiches than
12 +
3. How many students ate a sandwich?
4
2. How many students ate either a salad or a tuna sandwich?
sandwiches than salads?
1. How many more students ate peanut butter and jelly
Tuna Sandwich
Salad
Peanut Butter & Jelly Sandwich
Mr. Bunn’s Class Lunch
Use the graph to answer the questions. Write a number sentence to solve.
4-3
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Chapter Resources
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Answers (Lesson 4-3)
,
Grade 2
A9
7 11
Brownville Beavers
Winston Wildcats
=
7 votes!
+
2
= 11 votes!
11 -
7 =
11 votes
20
Chapter 4
p
Grade 2
,
both have the greatest number of votes.
The Silver City Stars and Winston Wildcats
4. Which team has the greatest number of votes?
29 –
3. Students are done voting! The total number of student votes is 29. How many votes are there for the Winston Wildcats?
Silver City Stars have 7 +
2
2. Nick and Ben each add a vote for the Silver City Stars. Then, Luisa and Chen add their votes for the same team. Now the
4+
3
1. Cass, Polly, and Will each add a vote for the Brownville Beavers. Now the Brownville Beavers have
11
Silver City Stars
Team
Favorite Soccer Team Tally Total
2MR2.2, 2AF1.3
Use number sentences to finish the chart. Write the total number of votes for each team.
Soccer Sentences
Enrich
Name
p
py g py g
4-3 Bar Graphs
Reteach
Name
0
1
2
3
4
5 Number of Votes
6
,
Chapter 4
Answers
Grade 2
4. What is the favorite fruit?
4 21
oranges
3. How many votes did apples get?
4
Favorite Fruit 2. How many kinds of fruit are shown in the bar graph?
1. What is the title of this bar graph?
Answer each question.
Three people voted for bananas. Show this on the bar graph.
Two people voted for pears. Show this on the bar graph.
Five people voted for oranges. Show this on the bar graph.
Four people voted for apples. Show this on the bar graph.
Data:
Pears
Oranges
Bananas
Apples
Favorite Fruit
Bar graphs use bars to show data. You can make a bar graph with data you read. Read the data to complete the bar graph.
Chapter 4
2SDAP1.1, 2SDAP1.4
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Preparation: Crayons are needed for this activity.
4-4
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Chapter Resources
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Answers (Lessons 4-3 and 4-4)
2SDAP1.1, 2SDAP1.4
11 5 4
Total
Grade 2
22
4. How many students voted in all?
20
3. How many votes for blue jays does the graph show?
7 5 Chapter 4
2. How many more students voted for the robin than the swan?
robin
Number of Votes
0 1 2 3 4 5 6 7 8 9 10 11 12
Favorite Bird
Tally
1. Which bird got the most votes?
Swan
Blue Jay
Robin
Swan
Blue Jay
Robin
Bird
Favorite Bird
Use data from the chart to make a bar graph. Color one space for each vote. Then answer each question.
Preparation: Crayons are needed for this activity.
Bar Graphs
Skills Practice
Name
,
A10
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2 p py g
4-4
py g
p
,
Bar Graphs
Homework Practice
Name
2SDAP1.1, 2SDAP1.4
/Volumes/108/GO00577/MathConnects_CA_CRM_12/Ancilliary/Application_Files/C04_...
Country Rock
Jazz
4
+
7
=
11
20
9
-
7
=
2
Grade 2
favorite music?
rock 23
Chapter 4
4. Trey, Chris, and Ruth voted. Trey’s favorite music got 4 votes. Chris’ favorite music did not get the most votes. What is Ruth’s
3. How many students voted?
number sentence to solve.
2. How many more students voted for rock than country? Write a
sentence to solve.
1. How many students voted for jazz or country? Write a number
Jazz
Rock
10 9 8 7 6 5 4 3 2 1 0
Our Favorite Music
Our Favorite Music Country
Make a bar graph with the data. Then, answer the questions.
Ms. Costa’s class took a survey. Look at their tally chart.
Preparation: Crayons are needed for this activity.
4-4
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Chapter Resources
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Answers (Lesson 4-4)
Bar Graphs
Problem-Solving Practice
0
1
2
3
4
5
Beach
Favorite Fruit
Mountain Places
Forest
Places People Visit
Grapes Cherries Oranges Melons Fruits
0
1
2
3
4
Grade 2
2
more votes
4–2=2
Write a number sentence to compare.
5. How many more votes did oranges get than grapes?
Number of Votes
Number of People
2SDAP1.1, 2SDAP1.4
24
people
people
votes
Chapter 4
2 + 5 + 4 + 5 = 16 16 people voted in all.
6. How many people voted for their favorite fruit in all? Write the number sentence to find out.
2
How many votes did this fruit get?
grapes
4. Which got the fewest votes?
cherries and melons
3. Which fruit or fruits got the most votes?
3
2. How many people visited the forest?
4
1. How many people visited the beach?
Use the bar graph to solve each problem.
4-4
Name
Favorite Flavor Bar Graph
Enrich
Name
2SDAP1.1, 2SDAP1.4
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
chocolate
cherry
strawberry
vanilla
Chapter 4
Answers
Grade 2
25
Chapter 4
Strawberry and chocolate received the
strawberry and chocolate most votes.
Why?
she buy?
If Hannah can only buy two flavors, which two flavors should
1
2
3
4
5
6
7
8
Title: Favorite Frozen Yogurt
Use this information to make a bar graph.
Cherry is the favorite of 3 friends. Vanilla is the favorite of 4 friends. Strawberry is the favorite of 5 friends. Chocolate is the favorite of 7 friends.
Hannah is planning a party. She will serve frozen yogurt. She asks her friends to name their favorite yogurt flavor. This is the data that she collected:
Preparation: Crayons are needed for this activity.
4-4
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, p
A11 ,
Grade 2 py g
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Chapter Resources
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Answers (Lesson 4-4)
5 8 3
Key: Each
stands for 1 vote.
Grade 2
Dinner
Lunch
Breakfast
0
1
3
4
5
6
26
Number of Votes
2
Favorite Meal
7
8
2. Use the data from the pictograph to color the bar graph.
Dinner
Lunch
Breakfast
Favorite Meal
1. Use the data from the tally chart to make the pictograph.
Dinner
Lunch
Breakfast
Favorite Meal
Chapter 4
2SDAP1.2, 2AF1.3
You can show the same data different ways. You can use the data on one graph to make more graphs. Count how many tallies to help.
Different Ways to Show Data
Reteach
Name
Different Ways to Show Data
Skills Practice
Name
Tally
0
Grade 2
3
4
27
spaghetti
4
Number of Votes
o lea t a o ite to o t a o ite hat di e i eco d o he li t
5. i li t the di e
4. o a y o e tude t cho e taco tha oup
18
2
soup
taco
1
Our Favorite Dinner
stands for 2 votes.
2. hich di e got the e e t ote 3. o a y tude t oted
Taco
Soup
Spaghetti
Our Favorite Dinner
Key: Each
Taco
Soup
Spaghetti
6 4 8
Total
1. hich di e got the o t ote
Taco
Soup
Spaghetti
Food
Our Favorite Dinner
Use the tally chart. Make a pictograph and a bar graph to show the data. Then answer the questions.
5
6
8
Chapter 4
7
2SDAP1.2, 2AF1.3
Preparation: Crayons are needed for this activity.
4-5
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
Dinner
4-5
Meal
, py g
A12
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2 p
,
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Chapter Resources
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Answers (Lesson 4-5)
A13
Drums
Guitar
Piano
Our Favorite Instruments
= 2 instruments.
28
0 1 2 3 4 5 6 7 8 9 10
Key: Each
Drums
Guitar
Piano
Our Favorite Instruments
Drums
Guitar
Piano
Drums
p
Grade 2
Guitar
Our Favorite Instruments
Piano
Use the data. Make a tally chart, a pictograph, and a bar graph to show the data.
Chapter 4
2SDAP1.2, 2AF1.3
Preparation: Crayons are needed for this activity.
Different Ways to Show Data
Homework Practice
Name
p
py g py g
Grade 2
Different Ways to Show Data
Problem-Solving Practice
Name
2SDAP1.2, 2AF1.3
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stands for 2 votes
Chapter 4
=
4
Number of Votes
0 1 2 3 4 5 6 7 8 9 10
Answers
Grade 2
Fruit
children
-
2
Favorite Snacks
Popcorn
Pretzels
6 4
3. How many more children voted for pretzels than popcorn? Write a number sentence.
Each
Fruit
Popcorn
Pretzels
Favorite Snacks
29
children
Popcorn
Pretzels
Tally
6 2 4
Total
Chapter 4
Answers will vary.
Which graph did you use to answer? Explain.
pretzels
4. Which snack got the greatest number of votes?
Fruit
votes
Favorite Snacks Snack
6
2. How many votes did pretzels get?
2
1. How many children voted for popcorn?
Complete the graphs. Use the graphs to solve.
4-5
Snacks
4-5
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Chapter Resources
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Answers (Lesson 4-5)
A14
Chapter 4
2SDAP1.3, 2SDAP1.4
9
5
Basketball
11
Football
11
Soccer
Grade 2
1
2
3
30
4 5 6 7 8 Number of Players
Number of Players
Baseball Basketball Football Soccer
Title
Soccer
Football
Basketball
9
Chapter 4
10 11 12
Key: Each X stands for 2 players
Number of Players
Baseball
Title
Use the information from the tally table to make a pictograph and a bar graph.
Total
Tally
Baseball
1 2 3 Number of TVs
Number of TVs
1
3
is the mode.
Remember: mode = most.
3 . 1
Grade 2
The range is
2 . 31
number sentence to find the range:
3
-
1
=
Chapter 4
2
The range is the difference between these numbers. Write a
Write the least number of TVs a family has:
a family has:
2. Look at the graph. Write the greatest number of TVs
1
1. On both graphs, circle the number of TVs you see most often. This number is the mode.
2
Number of TVs
Use the graphs to find mode and range.
8 7 6 5 4 3 2 1
Mrs. Lee’s class did a survey about TVs in the home.
Range and Mode
Reteach
Name
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Sport
2SDAP1.2, 2AF1.3
4-6
Students
Range and mode are ways to talk about data. Data is information. Looking at data in a simple way can help you find the range and mode.
Displaying Data in Different Ways
Enrich
Name
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2
Look at the tally chart to compare the number of players that are on different kinds of sport teams. Record the number of players below the tally marks.
4-5
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Chapter Resources
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Answers (Lessons 4-5 and 4-6)
Range and Mode
Skills Practice 2SDAP1.3, 2SDAP1.4
2
3
4
5
6
2
Grade 2
6
-
2 =
4 32
3. Find the range. Write a number sentence to solve.
2. Circle the mode on the graph. Write the mode.
Chapter 4
Remember: mode is the most; range is the difference.
2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6
1. Put the data in order from least to greatest.
Use the graph to solve.
Number of Seats at Each Table
-SK@CPMD3?@JCQ
-SK@CPMD2C?RQ
-MP?FlQ"?DC2C?RGLE
Norah has recorded how many people can sit at each table in her cafe. The data shows how many of each table she has. Find the mode. Find the range.
4-6
Name
Range and Mode
Homework Practice
Name
2SDAP1.3, 2SDAP1.4
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4
4
6 Trees
5
5
6
7
5 4. What is the mode?
4
7
7
Remember: mode is the most; range is the difference.
no
Chapter 4
Answers
Grade 2
What is the range now?
4 33
Chapter 4
6. Elena’s yard has 4 trees. Her father has to cut down 1 tree.
Would this change the mode?
5. Nick’s yard has 5 trees. His mom wants to plant 2 new trees.
3 3. What is the range?
2. What is the least number of trees?
1. What is the greatest number of trees?
Use the graph to solve.
Number of Yards
Number of Trees
Trees
Mrs. Sand’s class recorded how many trees they have in their yards at home. Find the mode. Find the range.
4-6
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, p
A15 ,
Grade 2 py g
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Chapter Resources
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Answers (Lesson 4-6)
A16
Chapter 4
Range and Mode
Problem-Solving Practice
Name
2
3
4
Key: each
= 2 students
Favorite Zoo Animals
4
Snakes
6
Tigers
animals
4
4
5
yes
Grade 2
34
5 - 1 = 4 Yes, the range would change. Chapter 4
6. Would Rhonda, Tom, Liz, and Miguel’s new shells change the range? Write a number sentence to solve.
If so, what is the new mode?
find 1 more shell, does the mode change?
1 shell to her. Does this change the range? no
Grade 2
35
Possible answers: choose the animals to see first, animals you could skip if time is an issue
3. If you were planning a trip to the zoo, how could you use this information?
animals
6
2
Zebras
5. Rhonda, Tom, Liz, and Miguel all have 4 shells. If they each
1. What is the range of the data?
8
Great Apes
Write the number of votes each animal received.
Great Apes Snakes Tigers Zebras Penguins
Chapter 4
Penguins
2SDAP1.3, 2SDAP1.4
2. What is the mode of the data?
4
Data Details
Enrich
Name
The class went to the zoo. They made a graph of their favorite animals.
4-6
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4. Sara has 4 shells. Her mom did not have any shells. Sara gave
number of shells he would have to plan for?
3. Leo wants to keep his shells in a box. What is the greatest
no
2. Nick says that no one has less than 2 shells. Is he right?
yes
1. Lee says that no one has more than 4 shells. Is she right?
Number of Shells
1
Number of Seashells We Have
2SDAP1.3, 2SDAP1.4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2
Use the graph to solve.
4-6
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Chapter Resources
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Answers (Lesson 4-6)
Grade 2
A17
2MR1.1, 2NS3.1
Problem-Solving Investigation: Choose a Strategy
Reteach (1)
Name
Grade 2
Check
Solve
Plan
Understand
36
Did I use the table to find out how many?
Look back.
18 muffins.
18
3
Aaron can bake
6 12
Number of Muffins
1 2
Number of Pans
yes
I can make a table. A table can show both drawings and numbers clearly.
How will I find how many?
How many muffins can Aaron bake?
What do I need to find out?
Chapter 4
Aaron has 3 pans. Each pan holds 6 muffins.
What do I know?
Aaron has 3 muffin pans. Each pan can hold 6 muffins. How many muffins can Aaron bake?
4-7
Chapter 4
bags of seed
Answers
Grade 2
6
37
4. Jin, Jack, and Julia want to feed the birds. They each bring 2 bags of seed. How many bags of seed are there in all?
7
3. Joy brings 7 treats for the class. Jessie brings 14 treats. How many more treats did Jessie bring than Joy?
turtles
2. 3 turtles can fit in 1 tank. Jose has 3 tanks. How many turtles can he have?
hop
9
2MR1.1, 2AF1.2
Chapter 4
Show your work here.
Problem-Solving Strategies Draw a Picture Find a Pattern Make a Table
Problem-Solving Investigation: Choose a Strategy
Reteach (2)
Name
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1. Jake is making up a new dance. He hops, hops, turns, hops, hops, and turns. What do you think he will do next?
Solve.
4-7
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p py g
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Chapter Resources
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Answers (Lesson 4-7)
Grade 2
they make?
11
3. Kiki, Greg, and Seth are making snowmen. Each snowman needs 1 carrot for a nose. Kiki brings 4 carrots. Greg brings 2 carrots. Seth brings 5 carrots. Are there enough carrots to make 12 snowmen? no How many snowmen can
2. Liam is writing the number of eggs his hens have. One hen has 2 eggs. 2 hens have 4 eggs. 3 hens have 6 eggs. Liam guesses that 4 hens will have 8 eggs. Is this a good guess? yes
12 pear slices
1. Shandra is giving a treat bag to each of her 3 friends. She puts 4 pear slices in each bag. How many pear slices are there in all?
Solve.
2MR1.1, 2AF1.2
38
Chapter 4
Show your work here.
Problem-Solving Strategies Draw a Picture Find a Pattern Make a Table
Problem-Solving Investigation: Choose a Strategy
Skills Practice
Name
,
A18
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2 py g
4-7
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. p
,
2MR1.1, 2AF1.2
Problem-Solving Investigation: Choose a Strategy
Homework Practice
Name
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8 hours
New Mountain Station Windy Hollow Station
6
42
Grade 2
they have in all?
12
39
Chapter 4
4. Suzie, Simon, and Sen each had 4 bottles of sports drink during their softball game. How many bottles of sports drink did
have in all?
3. Mr. Bell wants his students to put on their gloves before going outside. There are 21 students in Mr. Bell’s class. Each student has 2 gloves. How many gloves do Mr. Bell’s students
labels does Luis have than Sean?
2. Olive, Sean, and Luis are saving soup labels. Olive has 10, Sean has 7, and Luis has 13. How many more soup
4 hours 6 hours
Oaktown Station
2 hours
Travel Time from Mayfield Station
8 hours
Greenville Station
Town
Windy Hollow Station?
Problem-Solving Strategies Draw a Picture 1. Look at the table. Do you see Find a Pattern a pattern? yes If so, use the Make a Table pattern to complete the table. How long does it take to get to
Solve.
4-7
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Chapter Resources
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Answers (Lesson 4-7)
Grade 2
Fix the Graph
Enrich
Name
2MR1.1, 2AF1.2
12 8 4 2
A19
Bus
Walk
Van
Car
Grade 2
40
Chapter 4
Draw the graph on the back of the page or another piece of paper.
He can increase total amount to 12 or make a pictograph using one picture to represent two students.
Explain how Bradley can fix his graph.
10 9 8 7 6 5 4 3 2 1
Title: How We Get to School
They used the information to make a graph. Bradley started his graph, but he noticed that he had a problem and could not finish. What changes can Bradley make to complete the graph?
How We Get to School Bus Walk Van Car
Answers
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
Bradley’s class took a survey to find out how the students got to school. Here are the results:
4-7
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Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Answers (Lesson 4-7)
Chapter 4
A20
Chapter 4
5¢
1
2
3
4
5
1¢
3
10¢
7¢
How many boxes are shaded?
6 3
1¢
5¢
7¢
10¢ 42
Chapter 4
Ms. Kim’s class is running the school store. Help them put the tags in order from least to greatest.
Grade 2
5.
4.
3. How many students picked fruit?
Crackers
Fruit
Cheese
Favorite Snack
Look at the tally chart.
2.
1.
Circle the group that has more.
Are you ready for Chapter 4?
Diagnostic Test
Name
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2 py g
4
p
Chapter Pretest
Name
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
Willow
•••••
Birch
•••••••
Favorite Bird
•••
Oak
Oak
Willow
Birch
What is Your Favorite Tree?
3
-
1
=
2
Grade 2
43
4. What is the mode of this data?
solve.
2
Chapter 4
3. What is the range of this data? Write a number sentence to
Gina recorded how many hours a day she spent swimming at camp. She ordered her data from least to greatest: 1, 1, 1, 2, 2, 2, 2, 3. [Lesson 4.6]
bluebird
2. Which bird has the greatest number of votes? [Lesson 4.2]
Bluebird
Wren
Mockingbird
Use the graph to solve.
1.
Use the data to complete the tally chart. Make one tally mark for each dot. [Lesson 4.1]
4
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Chapter Resources
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Answers (Diagnostic Test, Chapter Pretest)
Grade 2
Mid-Chapter Test
Name
-
3 =
2
A21
2 +
2 +
5 =
9
Grade 2
3.
Panther
Snake
Parrot
Monkey
0
1
2
3
Animals in The Zoo
4
5
44
Panther
Snake
Parrot
Monkey
Animals in the Zoo
Use the bar graph to make a tally chart. [Lesson 4.1, 4.4]
will there be?
Chapter 4
2. If the zoo gets 2 new snakes, how many snakes and parrots
5
1. How many more parrots than monkeys?
Panther
Snake
Parrot
Monkey
Animals in the Zoo
Write a number sentence to solve. Use the graph. [Lesson 4.2, 4.3]
4
Copyright © Macmillan/McGraw Hill, a division of The McGraw Hill Companies, Inc.
Vocabulary Test
Name
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range survey symbol
mode is 3.
range
Copyright © Macmillan/McGraw Hill, a division of The McGraw Hill Companies, Inc.
Chapter 4
Answers
Grade 2
8. picture graph
7. bar graph
6. pictograph
45
Fruit
Vegetables
Each
stands for 2 votes.
Favorite Snack
Favorite Sport
Number of Votes
Basketball
Baseball
Turtles
0 1 2 3 4 5 6
Favorite Reptiles Snakes
.
Chapter 4
data in a bar graph.
Match each word to the correct picture.
For this data, the
5. 2, 2, 3, 3, 3, 3, 5, 8, 8.
For this data, 7 - 4 = 3 shows the
4. 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 7.
3. Sam took a survey and recorded his
2. Remember to add a key with your pictograph to show what the pictures stand for!
1. Mrs. Bean asked every child in her class the same question. She recorded their answers. Her class took a survey .
data key mode
Use the words in the word bank. Write the correct word in the blank.
4
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Chapter Resources
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Answers (Mid-Chapter Test, Vocabulary Test)
Grade 2
5.
4.
3.
2.
47
2 Cherries 4 unit cubes are shown. 1; the mode 2 unit cubes are shown.
Oral Assessment Response Sheet
Name
Chapter 4
p py g
p
py g
A22
Chapter 4
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2
1.
4 Chapter Resources
Grade 2
3.
2.
1.
4
Juice
Favorite Drink
Ball
Doll
Car
car 13 votes
Favorite Toys
555 66 77777 The range is 2
Milk
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
49
–
=
The following unit cubes are shown:
Show your model here.
Chapter 4
Listening Assessment Response Sheet
Name
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Chapter Resources
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Answers (Oral & Listening Assessment Response Sheets)
Grade 2
[Lesson 4.1]
procedural error
correct
procedural error
procedural error
3. Which shows the correct tally marks for kickball?
video games correct
board games guess
football guess
kickball guess
[Lesson 4.2]
1. Which is the favorite?
52
Favorite Games
procedural error
procedural error
correct
procedural error
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Chapter 4
GO ON
a pictograph conceptual error
a picture graph correct
a bar graph guess
a tally chart guess
[Lesson 4.2]
4. What kind of graph is this?
4
3
2
1
[Lesson 4.2]
2. How many more children like kickball than football?
Video Games
Board Games
Football
Kickball
Chapter Test, Form 1
Read each question carefully. Fill in the circle for the correct answer.
4
Name
Key: Each
Boating
Body Surfing
Diving
= 2 votes
Favorite Water Activities Swimming
guess correct procedural error
16 28 32
guess conceptual error procedural error correct
2 4 8 16
6. How many students like body surfing or boating the best? [Lesson 4.2]
Chapter 4
7 8
correct procedural error
5 6
53
5
guess
4
Answers
Grade 2
3
conceptual error
Chapter 4
STOP
procedural error
guess
conceptual error
correct
8. What is the mode of the data? [Lesson 4.6] 3
7. What is the range of the data? [Lesson 4.6]
3, 3, 3, 5, 7, 8, 8
Use the following numbers for 7 and 8.
conceptual error
14
[Lesson 4.2]
(continued)
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Chapter Test, Form 1
Name
5. How many voted?
4
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A23 ,
Grade 2 py g
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Chapter Resources
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Answers (Chapter Test Form I)
A24
Chapter 4
Chapter Test, Form 2A
Name
What is Your Favorite Holiday?
guess
Grade 2
procedural error
New Year’s Day
Independence Day
Valentine’s Day
Thanksgiving
Favorite Holiday
[Lesson 4.1, 4.5]
3. Which tally chart shows the data in the picture graph?
New Year’s Day correct
Independence Day guess
Valentine’s Day
Thanksgiving Day guess
1. Which holiday is the least favorite? [Lesson 4.2]
New Year’s Day
Independence Day
Valentine’s Day
Thanksgiving Day
54
conceptual error
New Year’s Day
Independence Day
Valentine’s Day
Thanksgiving
Favorite Holiday
New Year’s Day
Independence Day
Valentine’s Day
Thanksgiving
Favorite Holiday
Chapter 4
GO ON
procedural error
correct
guess
correct
8
7
9
13
conceptual error
2. How many more people like Thanksgiving Day than Valentine’s Day? [Lesson 4.2]
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2
Read each question carefully. Fill in the circle for the correct answer.
4
Copyright © Macmillan/McGraw Hill, a division of The McGraw Hill Companies, Inc.
guess
correct
procedural error
conceptual error
1
2
3
4
procedural error
correct
guess
conceptual error
[Lessons 4.2, 4.5]
5. Ben is taking the data from the bar graph and making a pictograph. If he wants 1 to stand for 2 colts, how many should he draw?
Grade 2
4
5
2
conceptual error
correct
procedural error
55
3
4
5
guess
correct
Chapter 4
STOP
conceptual error
procedural error
6
conceptual error
3
7. What is the range of the data? [Lesson 4.6]
6. What is the mode of the data? [Lesson 4.6]
1, 2, 2, 3, 5, 5, 5
Use the following data for Exercises 6 and 7.
6
5
4
13
[Lesson 4.4]
4. How many more people voted for chicks than colts?
Chicks (baby chickens)
Colts (baby horses)
0 1 2 3 4 5 6 7 8 9 10
Which is your Favorite Farm Baby?
(continued)
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Chapter Test, Form 2A
Name
Lambs (baby sheep)
4
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Chapter Resources
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Answers (Chapter Test Form 2A)
Grade 2
A25
Chapter Test, Form 2B
Name
correct
guess
conceptual error
Grade 2
conceptual error
conceptual error
correct
3. Which shows correct tally marks for July 4th? [Lesson 4.1]
7
9
13
2. How many more people like Thanksgiving than Valentine’s Day? [Lesson 4.2]
Valentine’s Day correct guess July 4th
Thanksgiving guess
[Lesson 4.2]
1. Which holiday is liked least?
July 4th
Valentine’s Day
Thanksgiving
56
conceptual error
July 4th
Valentine’s Day
Thanksgiving
Chapter 4
GO ON
What is Your Favorite Holiday?
correct
July 4th
Valentine’s Day
Thanksgiving
What is Your Favorite Holiday?
procedural error
July 4th
Valentine’s Day
Thanksgiving
What is Your Favorite Holiday?
4. Which tally chart shows the data above? [Lesson 4.1, 4.5]
What is Your Favorite Holiday?
Read each question. Fill in the circle for your answer.
4 Chapter Test, Form 2B
Name
correct
procedural error
conceptual error
Chapter 4
Answers
Grade 2
5
2
3
[Lesson 4.6]
correct
procedural error
conceptual error
7. What is the mode?
1, 2, 2, 3, 5, 5, 5
Use the data for 7 and 8.
5
4
13
57
conceptual error
6
5
4
[Lesson 4.6]
Chapter 4
STOP
procedural error
conceptual error
correct
8. What is the range?
9 + 4 = 13 conceptual error
9-4=6
9 - 4 = 5 correct
6. What number sentence shows problem 5? [Lesson 4.3]
0 1 2 3 4 5 6 7 8 9 10
5. How many more people voted for baby chickens than baby horses? [Lesson 4.4]
baby chickens
baby horses
baby sheep
Which is your Favorite Farm Baby?
(continued)
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Use the bar graph for 5 and 6.
4
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Chapter Resources
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Answers (Chapter Test Form 2B)
A26
Chapter 4
Grade 2
3. Write the correct tally marks for soccer. [Lesson 4.1]
board games
[Lesson 4.1]
1. Which is the favorite?
Card Games
Board Games
T-Ball
Soccer
Favorite Games
Use the data for 1–4.
58
students
10 9 8 7 6 5 4 3 2 1 0 Soccer
T-Ball
Board Games
Favorite Games
[Lesson 4.4]
Chapter 4
GO ON
Cards
4. Fill in the bar graph for the data in the picture graph.
3
[Lesson 4.2]
2. How many more students like card games than T-ball?
Read each question carefully. Write your answer.
Chapter Test, Form 2C
Name
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2 py g
4
p
= 2 votes
4
Wheels
2 4 6
Bikes
1 2 3
School Outdoor Club
+
=
.
Grade 2
6
9. What is the range of the data? [Lesson 4.6]
9, 9, 10, 12, 13, 14, 15
59
9
Chapter 4
10. What is the mode of the data? [Lesson 4.6] STOP
The outdoor club has 3 bikes. Each bike has 2 wheels. How many wheels in the club? Complete the chart to solve. [Lesson 4.7]
10
4
7. How many more students like to go to the beach than go fishing? [Lesson 4.2]
18
[Lesson 4.2]
Use the following sequence of numbers for 9 and 10.
8.
6
[Lesson 4.3]
5. How many like to ride bikes and go fishing? Write a number sentence to solve.
Key: Each
Fishing
Riding Bikes
Beach
Favorite Outdoor Activities
6. How many voted?
(continued)
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
Chapter Test, Form 2C
Name
Use the pictograph for 5–7.
4
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Chapter Resources
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Answers (Chapter Test Form 2C)
Grade 2
A27
Chapter Test, Form 2D
Name
Grade 2
[Lesson 4.1]
3. Write tally marks for soccer.
Checkers
[Lesson 4.2]
1. Which is the favorite?
Cards
Checkers
T-Ball
Soccer
Favorite Games
60
more
10 9 8 7 6 5 4 3 2 1 0 Soccer
T-ball Checkers
Favorite Games
Chapter 4
GO ON
Card Games
4. Use the picture graph to make a bar graph. [Lesson 4.4]
2
2. How many more like cards than T-ball? [Lesson 4.2]
Read each question. Write your answer in the space. Use the data for items 1–4.
4 Chapter Test, Form 2D
Name (continued)
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
6
+
4
=
10
7. Write a number sentence to show how many votes for fishing and bike riding.
4
6. How many more voted for the beach than fishing?
= 2 votes
Chapter 4
Answers
Grade 2
9
8. What is the range? [Lesson 4.6]
5, 8, 8, 11, 14, 14, 14
61
14
Chapter 4
STOP
9. What is the mode? [Lesson 4.6]
Read each question. Use the following data.
18
5. How many voted? [Lesson 4.2]
Key: Each
Fishing
Riding Bikes
Beach
Favorite Outdoor Activities
Use the pictograph to answer the questions.
4
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Chapter Resources
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Answers (Chapter Test Form 2D)
A28
Chapter 4
guess
procedural error
correct
Grade 2
procedural error
12 + 4 + 16 = 30
correct
12 + 4 + 16 = 32
procedural error
6 + 2 + 8 = 20
conceptual error
6 + 2 + 8 = 16
3. Which number sentence shows the sum of all the votes? [Lesson 2.7]
2
9
8
4
conceptual error
1. How many more people voted for peanut butter than tuna salad? [Lesson 4.2]
guess
correct
procedural error
conceptual error
Chapter 4
GO ON
tuna salad, peanut butter, ham and cheese correct
tuna salad, ham and cheese, peanut butter guess
error
ham and cheese, peanut butter, tuna salad procedural
peanut butter, tuna salad, ham and cheese guess
[Lesson 1.6]
4. Which group shows the sandwiches in order from least to most favorite?
16
12
8
6
2. What is the range of the data? [Lesson 4.6]
stands for 2 votes.
Ham and cheese
Tuna salad
Key: Each
62
What is Your Favorite Sandwich? Peanut butter
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Grade 2
Read each question carefully. Fill in the circle for the correct answer. Use the graph to solve.
Cumulative Standardized Test Practice
Name
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. py g
4
p
(continued)
Cumulative Standardized Test Practice
Name
/Volumes/108/GO00577/MathConnects_CA_CRM_10/Ancilliary/Application_Files/C04_...
goat
Grade 2
6 + 10 = 16 10 + 6 = 16
[Lesson 2.1]
9. Write two number sentences to show how many goats and sheep the farm has.
[Lesson 1.3]
7. The Sander’s children all like different animals. The farm has the most of Joe’s favorite animal. Millie’s favorite is the cow. Which animal is Kyle’s favorite?
Cows
Sheep
Goats
Sander’s Farm Livestock
63
Cows
< 10 sheep
STOP
Chapter 4
goats and sheep
8. Which of the animals at Sander’s Farm can you make 10 with? [Lesson 2.6]
6 goats
6. Use , or = to complete the sentence. [Lesson 1.7]
Sheep
5. Use the data to make a tally chart. [Lesson 4.1]
Goats
Sander’s Farm Livestock
Use the data to make a graph. Use the graph to answer the questions.
4
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Chapter Resources
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Answers (Cumulative Standardized Test Practice)
