DESK Assessment

Course:

5th Grade Mathematics

Davis Essential:

Number and Operations in Base Ten

Skills and Knowledge:

Understand place value system, perform operations with whole numbers and decimals

Title

NUMBERS AND OPERATIONS IN BASE TEN PRE -ASSESSMENT

Author / Source

4-6 Math Coaches

Submitted by

Math Team

Type of Assessment

Multiple Choice: Students could be asked to show work as to why they came up with their selected answer. A calculator may be used with this assessment.

Description

This assessment was designed to measure student pre-knowledge of the essential skills and knowledge identified above. Our recommendation is that this assessment not be used as a tool for reporting student mastery for parents, but could be used in conjunction with the post assessment as a source of data that can be discussed in grade-level data teams or with math coaches.

Scoring Guide, Rubric, or Key

The answer key rationale is attached.

Link to Assessment

N/A

© 9/27/2012 Davis School District, Farmington, UT 84025 All Rights Reserved

Name:__________________________________ Date: ________________________________

5th Grade: Numbers and Operations in Base Ten: Standards 5, 6, 7 Pre-Test I can multiply multi-digit whole numbers. I can use strategies for dividing up to four-digit dividends and two-digit divisors. I can add, subtract, multiply, and divide decimals. 1) The Sweets Bakery makes 180 dozen doughnuts per day. How many individual doughnuts are baked each day? A) 15 B) 540 C) 2,160 D) 3,060 2) Mark delivers newspapers for a paper route 365 days a year. He has 46 customers on his route. What is the total number of newspapers he delivers in one year? A) 411 B) 3,650 C) 14,260 D) 16,790 3) A stadium is set up for a concert. There are 456 rows of seats with 24 seats in each row. How many total seats are there? A) 19 B) 2,736 C) 8,024 D) 10,944 4) An online company assembles 240 iPods every day. How many iPods are assembled in one year? 1 year = 365 days A) 22,800 B) 75,400 C) 87,600 D) 93,200

5) What division sentence best describes this array? A) B) C) D)

40 ÷ 2 = 20 40 ÷ 4 = 10 40 ÷ 5 = 8 40 ÷ 10 = 4

6) Which 2 related problems best describes this array? A) B) C) D)

6 X 8 = 48 and 48 ÷ 8 = 6 4 X 12 = 48 and 48 ÷ 4 = 12 3 X 16 = 48 and 48 ÷ 16 =34 2 X 24 = 48 and 48 ÷ 24 = 2

7) Which model best describes the number sentence, 48 ÷ 4 = 12? A)

B)

C)

D)

8) A) B) C) D)

What is the inverse operation of 245÷5? 5 ÷ 245 = 49 49 • 5 = 245 245 + 5 = 250 245 – 5 = 240

9) Steve is solving the problem, 125 ÷ 5 using an area model and the distributive property. What number goes in the shaded box?

A) 10 B) 15 C) 20 D) 25

5 100

+5 25

10) Kim is solving the problem, 420 ÷ 30, using an area model and the distributive property. What number goes in the shaded box?

A) 34 B) 76 C) 100 D) 120

10 30 300

+ 4

11) The city recreation league has 204 children that want to play summer baseball. If the league forms teams that have 12 players per team, how many teams can be formed? A) 17 B) 19 C) 110 D) 2,448 12) A sweet shop has 3654 suckers and wants to package them in packages with 6 suckers in each. How many packages of suckers will the sweet shop have? A) 60 B) 69 C) 600 D) 609

13) A party supply store has 1,224 yo-yo’s. They want to package them in groups of 36. How many packages of yo-yo’s will they have? A) 36 B) 34 C) 32 D) 30 14) This picture represents 1 whole.

What number is represented below?

+ A) 3.05 B) 3.95 C) 4.05 D) 4.915 15) Each person on a two-man relay team ran 100 meters. Their times are listed in the chart below. What is the combined time of the team?

Jake Sam A) B) C) D)

14.86 seconds 12.2 seconds

27.08 seconds 27.06 seconds 26.08 seconds 26.06 seconds

16) This picture represents 1 whole.

What number is represented below?

A) .89 B) 1.11 C) 1.99 D) 5.79 17) Max and Joe each ran a relay course and timed themselves with a stopwatch. Max says he ran the course in 84.36 seconds. Joe reported his time as 97.4 seconds. How many seconds faster did Max run than Joe? A) 13.04 seconds B) 13.14 seconds C) 13.16 seconds D) 13.32 seconds 18) A factory worker fills each box of raisins with 1.33 oz. of raisins. If you buy 34 boxes, how many oz. of raisins will you buy? A) 34.33 oz. B) 35.33 oz. C) 43.12 oz. D) 45.22 oz.

19) The problem .3 x .80 is represented in which grid below? A)

B)

C)

D)

20) This picture represents 1 tenth.

Which problem is represented by the division model?

A) .012 ÷ .4 B) .12 ÷ .4 C) 1.2 ÷ .4 D) 12.0 ÷ .4

21) Use the model to solve this problem: 5 ÷ .4 = ?

A) 12.2 B) 12.5 C) 12.75 D) 12.8 22) Andy has 5.6 pounds of taffy, he wants to divide the taffy in 8 bags. How much taffy will be in each bag? A) .07 pounds B) .7 pounds C) 7 pounds D) 70 pounds 23) If a car went 422.1 miles in 6.3 hours, how many miles did it go in one hour? A) 6.6 B) 6.7 C) 66 D) 67 24) Use the models to help you solve the following problem.

If 3.5 pounds of apples cost $4.55, what is the price of 1 pound of apples? A) $1.03 B) $1.12 C) $1.30 D) $13.00

1

5.NBT.5

A 180÷12=15

2

5.NBT.5

365 + 46=411

3

5.NBT.5

456 ÷24=19

4

5.NBT.5

5

5.NBT.6

6

5.NBT.6

7

5.NBT.6

Doesn’t take place value into account. Misunderstanding of arrays Misunderstanding of arrays Correct answer

8 9

5.NBT.6 5.NBT.6

10 5.NBT.6

Division Misunderstanding of area model Adds 30+4

11 5.NBT.6

Correct answer

12 5.NBT.6

Balanced Distractor

13 5.NBT.7 14 5.NBT.7 15 5.NBT.7

Calculation error Calculation error Balanced Distractor

B Multiplies by 1 instead of 10, (Doesn’t put a zero in as a place holder.) Multiplies by 4 instead of 40, (Doesn’t put a zero in as a place holder.) Multiplies by 2 instead of 20, (Doesn’t put a zero in as a place holder.) Doesn’t regroup

C Correct answer

D Adds in the regrouped hundred at the wrong time.

Doesn’t regroup correctly.

Correct answer

Calculation error

Correct answer

Correct answer

Balanced Distractor

Misunderstanding of arrays Correct answer

Correct answer

Misunderstanding of arrays Misunderstanding of arrays Misunderstanding of arrays

Misunderstanding of multiplication groups Correct answer Misunderstanding of area model Misunderstanding of area model Calculation error

Divides 36/6 and 54/6 Correct answer Doesn’t regroup Correct answer

Misunderstanding of arrays Misunderstanding of arrays Addition Correct answer Misunderstanding of area model When subtracting 20-12, doesn’t regroup and gets an answer of 12, and places another 1 in the answer. Place Value Error Calculation error Correct answer Added without lining up decimal points; calculation error

Subtraction Misunderstanding of area model Correct answer 204•12=2448

Correct answer Calculation error Doesn’t regroup Added without regrouping in ones place

16 5.NBT.7

Correct answer

Doesn’t regroup

17 5.NBT.7

Correct answer

Calculation error

18 5.NBT.7 19 5.NBT.7

1.33+34=35.33 Correct answer

23 5.NBT.7

Multiplication error Misunderstanding of decimal model Misunderstanding of decimal model Calculates the remaining 2 boxes as .2 instead of .5 Misplacement of decimal Calculation error

24 5.NBT.7

Calculation error

20 5.NBT.7 21 5.NBT.7 22 5.NBT.7

Misunderstanding of decimal model Correct answer Correct answer Misplacement of decimal Calculation error

Mixes addition and subtraction in the same problem Incorrectly subtracts hundredths place Regrouping error Misunderstanding of decimal model Correct answer

Adds Subtracts 97-84 and 36-4

Calculation error

Correct answer Misunderstanding of decimal model Misunderstanding of decimal model Calculation error

Misplacement of decimal Calculation error

Misplacement of decimal Correct answer

Correct answer

Misplacement of decimal