WCCUSD Grade 4 WCCUSD Grade 4 1 1

Complete the unit conversion tables. Then completeUnits the sentences. Convert

1´ 1´

36 inches. A ribbon 3 feet long measures _____ 1 foot 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in

1 foot 12 inches WCCUSD

1

1 foot 12 inches4 Grade

1 foot 12 inches

1 foot = 12 inches Convert Units 3 feet = 3 × 12 inches 36 inches. feet = 36 inches A3 ribbon 3 feet long measures _____ 1 foot 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in

6 feet long. 2 yards of rope is _____ 1 foot 1 foot 12 inches 12 inches 1 yard 1 yard 1 ft. 1 ft. 1 ft. 1 ft. 1 ft. 1 ft.

1 foot 12 inches

1 foot = 12 inches 3 feet = 3 × 12 inches 1 yard = 3 feet 3 feet = 36 inches 2 yards = 2 × 3 feet 2 yards = 6 feet

6 feet long. 2 yards of rope is _____ 2 A snail crawled 24 inches. It moved _____ feet. 1 yard 1 yard 1 ft. 1 ft. 1 ft. 1 ft. 1 ft. 1 ft.

1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in

1 foot 1 yard = 3 feet 2 × 3 feet 12 inches 2 yards 12 =inches 6 feet 1 foot 2 yards1=foot

12 inches = 1 foot 24 inches = 2 × 12 inches 2 A snail crawled 24 inches. It moved _____ 24 inches = 2 × 1 foot feet. 24 inches = 2 feet 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in

1 foot

4.MD.1 4.MD.1

12 inches 1 foot

12 inches 1 foot

12 inches = 1 foot

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Benchmark 3 Study Guide Benchmark 3 Study Guide You try: Complete theGrade unit conversion tables. WCCUSD 4 Then complete the sentences. You try: Complete the Tables

1 Convert Units Ounces A ribbon Pounds3 feet long measures _____ 36 inche A 5-pound chicken 1weighs ______ ounces. % 16 2 % 1 foot Ounces % 48 Pounds 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in %%%%%%1 4 16 % % Benchmark 31 Study Guide 2 1 5foot foot 1 foot % 160 48 12 inches 12 inches 12 inches % 4 You try: Complete the Tables 1´ % 5% 1 foot = 12 inches % Liters Milliliters 3 feet = 3 × 12 inches % Ounces Pounds 1 1,000 3 feet = 36 inches % 16 3,000 1 % 2 % 5 Pounds Ounces 48 % 8 %%%%%%1 16 4 15,000 % 6 feet long. 2 yards is _____ 2 of rope 32 5 % 20 3 48 160 % 4 1 yard 64 1 yard 15 liters % of water is equal to ___________ milliliters. 5%1 ft. 1 ft. 1 ft.801 ft. 1 ft. 1 ft. %

% in theLiters Fill Bar Models Milliliters 1 yard = 3 feet % 1 1,000 21yards = 2 × 3 feet % Gallon 3,000 % 2 yards = 6 feet 5 % 8 % 15,000 % 2 % A20snail crawled 1 Quart 24 inches. It moved _____ % feet. % 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in % Fill in the Bar Models 1 foot % % 1 Gallon % 12 inches 1 Gallon 12 inches % 1 foot 1 foot % % 12 inches = 1 foot % 24 inches = 2 × 12 inches 1 Quart % 24 inches = 2 × 1 foot % 24 inches = 2 feet % % % 4.M 1 Gallon % MCC@WCCUSD (WCCUSD) 02/10/16 % MCC@WCCUSD (WCCUSD) 02/12/15 %

, % , %% , ,,,0,,,,,,,500,,,,1000,,,1500,,2000,,2500,,3000,,3500,,4000,

Yards%%%%%%%%%Feet%

2%%%%%%%%%%%%%%6% % Benchmark 3 Study % Guide % rk&3&Study&Guide& Using a number line, I start at 4000 and 1%%%%%%%%%%%%%%3% % count back 500 the grams for each day. If I count Show back 7 how you Solve following problems. You try: Solve the following problems. Show 2 days, I can see that there will 2´ , % % % a table 500 grams of or a solved each problem bybeusing how you solved each problem by using a table chicken feed left. %%%%%%%%%%%%%%%%1% % visual model. or a visual model. % % t%is%2%yards%long.%% % ,Jose will have 500 gramshisofpockets. feed left. He had 3 Addition: Arlo emptied Addition: %%%%%%%%%%%%%%%%2% to%3%equal%pieces.%% % quarters, 8 dimes, 7 nickels, and 15 pennies. g%is%each%piece?% % he have? , How many dollars and cents did Sonia is making three batches of cookies. Yards%%%%%%%%%Feet% % Addition, It takes 45 minutes to cook each batch. , How many hours and minutes will it take to % # of Value 2%%%%%%%%%%%%%%6% in Total value in cents , Name of coin cents cook all three batches of cookies? coins % % 1%%%%%%%%%%%%%%3% Addition% Quarter,,,,,,,,,,,,,,,,,25,,,,,,,,,,,,,,,3,,,,,,,,,,,,,, , % % Dime 10 8 % %%%%%%%%%%%%%%%%1% Nickel 5 % 7 Arlo%emptied%his%pockets.%%He%had%3% % Penny 1 %%%%%%%%%%%%%%%%2% 15 quarters,%8%dimes,%7%nickels,%and%15% pennies.%%How%many%dollars%and%cents% did%he%have?% cents Now I can add Coin: % together all the cents centsValue in cents: cents. I also know dollars cents % that 100 cents is

WCCUSD Grade 4

3%quarters%%%%%%%%75%

equal to one dollar.

Arlo has% $2.05.

ockets.%%He%had%3% 7%nickels,%and%15% y%dollars%and%cents% Division

8%dimes%%%%%%%%%%%80%

%

7%nickels%%%%%%%%%%35%

% Billy has a rope that is 2 yards long.15%pennies He cuts %%%%%%%15% the rope into 3 equal pieces. How many feet long is each piece?

Division: Amy has 4 feet of ribbon. She wants to cut the ribbon into 6 equal pieces so that she and her 5 friends each have a piece. How many inches of ribbon will each girl have?

I know that one yard is equal to three feet. That means two yards is equal to six feet. I can get my answer by dividing six feet into three equal parts.

%%%%%%%%%%1%yard%%%%%%%%%%%%%%%%%%%%%%%%%1%yard% 1%ft.%%%%%1%ft.%%%%%1%ft.%%%%%1%ft.%%%%%1%ft.%%%%%1%ft.% % 1%piece%

1%piece%

1%piece%

Each piece is 2 feet long 4.MD.2

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MCC@WCCUSD (WCCUSD) 02/10/16

WCCUSD Grade 4

Benchmark 3 Study Guide

USD Grade 4 3 Solve the following problem using your knowledge of area WCCUSD Grade 4 and perimeter.

3´

se what you know ABCD about has Area andofPerimeter Rectangle an area 15 square feet.

The length of one side is 5 feet. Find the value of Use what you Then, know about Area and Perimeter the width. perimeter ctangle ABCD has an area offind 15 the square feet. of It the has 3 ide of 5 feet.rectangle. What is the perimeter of the rectangle?

3´

Rectangle ABCD has an area of 15 square feet. It has a side of A 5 feet. What5 isft.the perimeter B of the rectangle?

odel:

, A B Model: , 15 sq. 4 ft. WCCUSD Grade , 15 sq. ft. , D C 5 ft.about Area and Perimeter 3 Use ,what you know , the missing D C art 1:Rectangle find ABCD has width an area5offt.15 square feet. It has Part,1:,Find,the,missing,width., a side of 5 feet. What is the A perimeter of the B rectangle? APart = l ×1: w find the missing width 15 = 5 × w A = l iAw 15 ÷ 5 B 15 sq. A ft. 5 ft. B A = l× w Model: 15 = 5 × 3 15 = 5i w D 15 ÷55 15 = 5 × w 15 C sq. ft. ∴ w = 3 feet 15 sq. ft. 15 = 5i 3 ft. 15 = 5 × 3 D

5 feet art 2: find the ∴∴ ww==33 feet ,perimeter ft. 5 D A BC (l +find P Part = 2 ×2: w ) the perimeter 5 ft.ft. the perimeter. (5 +2:23×)Find P = 2 ×Part 3 15 sq. A ft. 5 3 ( ) lthe + wmissing Part P1:= find width ft. ft. ft. P = 2×8 D PA==2l××(5w+ 3) 53 A 15 sq. 5C ft.ft. ∴ P = 16 feet ft. ft. P 15==25××8w D 15 ÷ 155 sq. ft. 3 5ft. ∴ P = 1 6 feet ft. 15 = 5 × 3 D 55 ft. feet ∴ ,wQRST = 3 feet e area of rectangle is 48 sq. yards. It hasft.a

T actor Pairs , for 48

has a side of 8 inches. What is the perimeter of the Rectangle JKLM has an area of 128 square inches Draw a model: rectangle? has a side of 8 inches. What is the perimeter of th rectangle?

Benchmark 3 Study Gu 3´

You try: Area and Perimeter

Rectangle JKLM has an area of 128 square inche has a side of 8 inches. What is the perimeter of th Find the rectangle? missing length:

B3

ft.

C3

ft.

C

Find the perimeter:

The area of rectangle WXYZ is 150 sq. meters. It has a perimeter of 70 meters. What are the dimensions of area of rectangle WXYZ is 150 sq. meters. It rectangleThe WXYZ? a perimeter of 70 meters. What are the dimension rectangle WXYZ?

S Find l+w

The of rectangle 1Factor × 48areaPairs × (yards. l + lw+)Itwhas a for 48QRSTPis=482sq. Find of 32 yards. What 2perimeter × 24 (l + w ) of 32are = 2the× dimensions rectangle QRST? 1 × 48 3 × 16 32 ÷ 2 = 2 ×P(l=+ 2w×)(÷l +2 w ) 32 = 2 × (l 4.MD.3 + w) 4 × 12 2 × 24 Q R = (l + w ) 16 3 × 16 32 ÷ 2A== 2l ×× w(l + w ) ÷ 2 6 × 8 width 4 × 12 48 sq. yd. 16P == (2l ×+(lw+)w) est the Sums of the Factor Pairs Page 3 of 9 S 6 × 8T length

It has a width of 8 inches. Find the missing length. You Area and Perimeter Then, find the try: perimeter the rectangle. Rectangle JKLM has an of area of 128 square inches. It 3´

B

) )

length

You try: JKLM Areahas and Rectangle an Perimeter area of 72 square inches.

C

rimeter of 32 yards. What are the dimensions of Part 2: find the perimeter area of rectangle QRST is 48 sq. yards. It has a ctangleThe QRST? 5 perimeter of B P =of232 × yards. l + w What are theAdimensions ft. Q R rectangle QRST? P = 2× 5 + 3 3 A = l 3× w 15 sq. ft. ft. width 48 sq. yd. ft. P = Q2 × 8 RP = 2 ×D(l + w) C 5 A=l×w ∴ P = 1 6 feet T S ft. length 48 sq. yd. width P = 2 × (l + w)

( (

Benchmark 3 Study Guide Gui

You try: Solve the following problem using your knowledge of area and perimeter. Benchmark 3 Study

1 Test + 48 the = 49 Sums of the Factor Pairs

The area of rectangle WXYZ is 150 sq. meters. I a perimeter of 70 meters. What are the dimension rectangle WXYZ?

MCC@WCCUSD (WCCUSD) 02/10/16

% of%each%pencil%on%the%line%plot%below.%%% % % % Benchmark 3 Study Guide % % 4´ % You try: Use the line plot to answer the questions below.

WCCUSD Grade 4 Use the line plot to answer the questions 4 4.MD.4% below. % A%group%of%ten%students%measured%their% A group of ten students measured their pencils % pencils%in%inches.%They%recorded%the%lengths% in inches. They recorded the lengths of each % of%each%pencil%on%the%line%plot%below.%%% % pencil on the line plot below. % % % % % %% 3%

%

4%

%% 5%

Nine friends measured the weight of their sandwiches %% They %% 6% the % of 4% a pound. 5% recorded 3% eighth to the%%nearest results on the line plot below.

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How many sandwiches weighed less than one-half % of a pound? %

How many pencils are between 3 inches and 5 inches in length?

% % % % % % What is the total weight of the three heaviest

There are 6 pencils between 3 inches and 5 inches in length. 3 are 3 21 inches long, 1 is 4 inches !

long, and 2 are 4 21 inches long. !

What is the total length of the three longest pencils?

sandwiches?

15%pennies%%%%%%%15%

The total length is 17 inches.

%%%%%%%%%%1%yard%%%%%%%%%%%%%%

What is the difference between the longest and the shortest pencil? 6- 2

1 2

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= 6- 2 = 4-

How could you combine two or more sandwiches to get 1%ft.%%%%%1%ft.%%%%%1%ft.%%%%% a weight of one pound? %

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The difference is

inches. 4.MD.4

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MCC@WCCUSD (WCCUSD) 02/10/16

1%pie

to%answer%the%questions%below.% % 1.%Which%shapes%that%have%parallel%sides?% % WCCUSD Grade 4 2.%Which%shapes%have%acute%angles?% % Use your knowledge of the given shapes to answer 5 3.%Which%shapes%have%right%angles?% the questions below. %

2.%Which%shapes%have%acute%angles?% % 3.%Which%shapes%appear%to%have%right% angles?% Benchmark 3 Study Guide %

5´

You try: Use your knowledge of the given shapes to % answer the questions below.

% %

right % rectangle equilateral trapezoid triangle triangle % % 1. % Which shapes have parallel sides? % Parallel Sides: The rectangle and the % trapezoid have parallel sides. % % % Which shapes have acute angles? 2. Acute angles are less than .

The equilateral triangle, the trapezoid and the right triangle have acute angles.

%% right triangle %

square parallelogram

isosceles triangle

% % 1. Which shapes have parallel sides? %

15%pennies%%%%%%%15%

2. Which shapes have acute angles?

3. Which shapes appear to have right angles? Right angles have exactly .

The rectangle and the right triangle appear to have right angles. I can check by using the corner of my paper.

3. Which shapes appear to have right angles?

4. Which shapes have perpendicular sides? Perpendicular sides meet to form a right angle.

The rectangle and the right triangle have perpendicular sides.

4. Which shapes have perpendicular sides?

5. Which shapes have obtuse angles? Obtuse angles have more than .

The trapezoid has two obtuse angles.

5. Which shape has obtuse angles?

4.G.2

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MCC@WCCUSD (WCCUSD) 02/10/16

WCCUSD Grade 4

4.G.2 4.G.2 4.G.2 figure.

6 Identify 2 lines of symmetry in the Identify 2 lines symmetry in thein figure. Identify twoof lines of symmetry the figure below. 6 6 Identify 2 lines of symmetry in the figure. 6 A A W A W L W R L R L ZR Z Z G G LR and AG are lines G of symmetry, but WZ is lines symmetry, butinto is LR not. and AG WZtwo does notofsplit the figure WZare are lines of symmetry, but is LR and AG WZ images. not. mirror does not split the figure into two WZ arenot lines of the symmetry, but two is not. not.andWZ does split figure into mirror images. doesimages. not split the figure into two mirror images. mirror 4.G.3

4.G.3 4.G.3

4.G.3 7 Trinh loves the Ferris wheel. She gets on, travels all way around, andShe comes Trinh loves thethe Ferris wheel. She gets on, back Tina loves the Ferris wheel. gets on, to 7 7 Trinh loves the Ferris wheel. She gets on, the starting point. Through how may degrees travels all the way around, and comes back to to 7 travels all the way around, and comes back travels all the way around, and comes back to did rotate during thehow ride?may the starting point.point. Through degrees the she starting How many degrees did she theshe starting point. Through did rotate during ride?how may degrees rotate during the the ride? did she rotate during the ride?

360°; the Ferris wheel is a circle. She went allthe theFerris way around one time. A circle 360°; wheel is a circle. She wentis 360°; the Ferris wheel is a circle. She composed of 360 one-degree angles. all the way around one. time. A circle iswent 360° She rotated The Ferris wheel is a all the way around one time. A circle is composed of 360 one-degree angles. circle, which is made of 360 one-degree composed of 360 one-degree angles. angles. By going around one time, she 4.MD.5 completed a circle.

Benchmark 3 Study Guide 6´ You try: Draw and name lines symmetry. try:try: Draw andthe name twooflines of symmetry in 6´ 6´YouYou You try: Draw and name the lines of symmetry. the figure below. 6´ Draw and name the lines of symmetry. L M L M L M N N N S S S % % % % % %

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% 7´ %You try:%% %%%%%%%%%%1%yard%%%%%%%%%%%%%%%%%%%%%%%%%1%yard% You try: Use%your%knowledge% of% The the%given%shapes%to% Look at figure 1. measure of 7´ 1%ft.%%%%%1%ft.%%%%%1%ft.%%%%%1%ft.%%%%%1%ft.%%%%% Youanswer%the%questions%below.% try: % 7´ Look % NPR Themeasure measureofof ∠ = 291.° . The at figure 1.%Which%shapes%that%have%parallel%sides?% 1%piece% 1%pie 1%piece% at 1. measure % MPN How many ∠ ° . The The measure of 1°ofangles make up ∠Look NPR = figure 29= ° .65 2.%Which%shapes%have%acute%angles?% The measure NPR 29?°°.. How ∠ % MPR many 1°of angles make up ∠∠MPN == 65 3.%Which%shapes%appear%to%have%right%angles?% . How many 1° angles make upon ∠ MPN = 65 ° You try: Melissa noticed that the symbol ∠MPR ? % 7´ % the front ∠MPR ? of her mother’s% car was a circle % divided into M% three equal parts. We know a %circle is equal to 360° , so what is the measure N M % ∠ABC of % M ? N % N % 15%pennies%%%%%%%15% A R P R P R figure 1 P figure 1

4.MD.5 Page 5 of 9 4.MD.5 Page 5 of 9 Page 5 of 9

figure 1

B Guide End of Study End of Study Guide End of Study Guide

C

MCC@WCCUSD (WCCUSD) 02/12/15

MCC@WCCUSD (WCCUSD) 02/12/15 MCC@WCCUSD (WCCUSD) 02/12/15

4.MD.5

End of Study Guide

Page 6 of 9

MCC@WCCUSD (WCCUSD) 02/10/16

hes.

t hes

__

36 inches. A ribbon 3 feet long measures _____ % Ounces Pounds % 1 foot 16 1 Pounds Ounces % 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in WCCUSD 4 Benchmark 32 Study Guide %%%%%%1Grade 16 % 48 % 2 1 foot 1 foot 1 foot 4 You try: Addition: % “You Try”48Answers 2´ 12 inches 12 inches 12 inches 5 Sonia is making three batches of cookies. % 4 160 It takes 45 minutes to cook each batch. % Complete the unit conversion tables. 1´ You try: 5% 1 foot = 12 inches How many hours and minutes will it take to % Then complete the sentences. 3 feet = 3 × 12 inches cook all three batches of cookies? % 3 feet =weighs 36 inches 80 ounces. Liters Milliliters % A 5-pound chicken % 1 1,000 Hours Minutes % Pounds Ounces 3,000 1 60 % %%%%%%1 16 5 Benchmark 3 Study Guide % 6 2 120 2 yards is _____ feet long. 2 of rope 32 8 % 3 18015,000 3 48 % 1´ You try: Complete the Tables 4 1 yard 64 1 yard 20 minutes % 5%1 ft. 1 ft. 1 ft.801 ft. 1 ft. 1 ft. % minutes minutes % Subtraction:% Ounces Pounds hours and 15 minutes % % Jose%has%a%10%kilogram%bag%of%chicken%feed.%%Each%day,%his%chickens%eat%600%grams%of% 16 1 yard = 13 feet % feed.%%After%7%days,%how%many%kilograms%of%feed%will%be%left?% Filltake in the Bar2Models It will Sonia hours and 15 yards = 2 × 3 feet % 1 pound = 16 2ounces % % minutes to bake three batches of cookies. 5i16 ounces % 5 pounds =48 ! 2 yards = 6 feet % 1 Gallon % 5 pounds = 80 ounces 4 % % % 5 % % Division: Amy has 4 feet of ribbon. She wants to cut % 160 % the ribbon into 6 equal pieces so that she and her 5 2 % 15 litersAofsnail moved _____ watercrawled is equal24toinches. 15,000 It milliliters. % friends each have a piece. How many inches of ribbon % feet. % will each girl have? 1 Quart % % Liters Milliliters % 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in 1 in % % 1 1,000 % 1 foot 1 foot 1 foot 1 foot 1 foot % % 3 3,000 % % 12 inches 12 inches 12 inches 12 inches % % 125inches 5,000 12 inches % 1 Gallon 8,0001 foot % 18 foot % 48 inches % 15,000 15 % % % 2012 inches = 1 foot % % % 24 inches = 2 × 12 inches Now, I need % I can see that % % 24 inches = 2 × 1 foot to divide 48 Amy’s ribbon is 1 liter = 1,000 milliliters 4 feet equals 48 inches because 4 i12 = 48 . % inches into 6 48 inches long. 24 inches = 2 feet 15 liters = !15i1000 milliliters % % Fill in the Bar Models Now I must divide the 48 inches of ribbon into 6 equal pieces.equal parts. 15 liters = 15,000 milliliters One way is to I can write my division problem as a fraction: % % 1 Gallon Each piece of ribbon 48 4.MD.1 % will be 8 inches long. 6 2i2i2i2i3 % = 2i3 % to teachers: There are many visual models and tables that 2 i*Note 2 i 2 i1i1 = could be%%used to correctly solve these problems. Any models that % Page 11i1 of 9 MCC@WCCUSD (WCCUSD) 02/12/15 1 Quart 8 can logically show the correct answer should be accepted. = %% 1 = 8 %%

1 Gallon Page 7 of 9

MCC@WCCUSD (WCCUSD) 02/10/16

WCCUSD Grade 4 Benchmark 3 Study Guide Solve the following3problem Studyusing Guide 3´ You try: Benchmark 3´

eter

your knowledge area and perimeter. You try: Area andof Perimeter

% % % % % %

4´

You try: Area and Perimeter

Rectangle JKLM hashas an area of 128 square inches. It It 3´ Rectangle JKLM an area of 72 square inches. has a side of 8 inches. What is the perimeter of the has a width of 8 inches. Find the missing length. Rectangle JKLM has an area of 128 square inches. It rectangle? Then, find the perimeter of the rectangle. has a side of 8 inches. What is the perimeter of the , rectangle?

has gle?

Benchmark 3 Study Guide

% % %

You try: Use the line plot to answer the questions below. %% 5% %% 3% %% 6% % 4%

Eight friends measured the weight of their sandwiches, to%%the nearest eighth of a pound. They recorded the results on the line plot below.

, J Benchmark 3KStudy Guide , , meter You try:72Area and square in.Perimeter , 3´ 8 in. , %% %% %% %% %% %% %% %% has 4 Rectangle JKLM has anBenchmark area of 128 square inches. ItGuide ade 3 Study , ngle? hasLa side of 8 inches. What M is the perimeter of the D Grade 4, Benchmark 3 Study %Guide How many sandwiches weighed less than one-half rectangle? know about Area and Perimeter You try: Area and Perimeter 3´ , of a pound? % B hat you know about Area and Perimeter You try: Area and Perimeter D has an area of 15, square feet. It has Rectangle JKLM has an area of 128 square inches. %It 3´

What is the perimeter the Find rectangle? Partof 1: the missing e ABCD has an area of 15 square feet. It has 5 feet. What is the perimeter of the rectangle? 5 ft. A B C

A

:D

A =Bl i w 15 sq. ft. 72 = l i 8

15 sq. 4 ft. Grade

D you know about Area C and Perimeter B hat 5 ft.

4

has a side of 8 inches. What is the perimeter of the length. Rectangle JKLM has an area of 128 square inches.

It % rectangle? has a side of 8 inches. What is the perimeter of the % , rectangle?

, , ,

J

I know that one-half is equal to 8 , so I should count any sandwich that weighs less. I % Guide Benchmark 3 Study 4 K count 6 sandwiches that weigh less than 8 , % % You try: Area and Perimeter , so the answer is 6 sandwiches. 72 square in. , %

83´in. 72 ÷ 8 = l i 8 ÷ 8 D C he 3missing leBABCD has width an area5offt.15 square feet. It has Rectangle JKLM has an area of ,128 square inches. It 9 = rectangle? l rt,1:,Find,the,missing,width., 5 ft. feet. What is the has a side of 8 inches. What is the perimeter of the A perimeter of the B w , : C3find the M 72÷8 3 Study L rectangle? rade 4 missing width ∴l = 9 inches Benchmark Guide What is the total weight of the three heaviest ft. w A = l iAw 15 ÷ 5 , B 15 sq. A ft. 5 ft. B A:D = lGrade ×w sandwiches? Benchmark 3 Study Guide 3 15 = 5i w 4 , D 15and C 5 Cknow = 5 × wabout Area You Area and Perimeter ÷55 Perimeter sq. ft. 1:try: Find the missing 3´ Part 3 feet= 5i 3 The area of15rectangle WXYZ is 150 sq. meters. Itlength. has 15 sq. ft.ft. 5 = 15 5×3 4 6 D and C hat you know about Area Perimeter You try: Area and Perimeter a perimeter of 70 meters. What are the dimensions 5 has ∴ w = 3 feet The three heaviest sandwiches are he perimeter D has an area of 15 square feet. It Rectangle JKLM has an area ofof128 square inches. It 3´ ∴ ,w = 3 feet 8 8 A = l i w ft. area of rectanglehas The WXYZ 150 sq. meters. It has of the rectangle WXYZ? is the perimeter of2: the rectangle? a side ofis 8 inches. What is the perimeter Part aWhat 5 Find Dhas C Itperimeter. A Bthe 72 = l i 8 +find w ) the ABCD an area of 15 square feet. has Rectangle JKLM has an area of 128 square inches. It :le perimeter rectangle? 5 ft.ft. a perimeter of 70 meters. 8 What are the dimensions of the5 perimeter. 5B2:feet. isft.the perimeter rectangle? Bft.of the 72 ÷has 8 =al side i 8 ÷ of 8 8 inches. What is the perimeter of the and 8 If I add them together, I get 5rtf A + 3)FindWhat 15 sq. 5 3 A rectangle B WXYZ? ) ft.3 width 2 × (lthe + wmissing := find , rectangle? 9=l P = 2ft.CiBft.(l i w) D , = 23l××(5wA +153)sq. ft. 53 A 15 sq. 5 ft.ft. 18 B3 4 6 8 18 A 1:6=feet ∴l Benchmark = 9 inches SD Grade 4 ft. ft. ft. ft. K 3 Study Guide8 %%%%%%%%%%1%yard%%%%%%%%%%%%%%%%%%%%%% , I can decompose J 9 in. P = 2 i (9 + 8) 8 as 8 8 8 5=C=25××8w D 5ft. 155 sq. ft. C3 ft. 15 15 sq.÷3 ft. , ft. 5∴D =P5=×136 feet Part 2: Find perimeter. 8 8 2 hat you know Youthetry: Area and Perimeter PDC=and 255iPerimeter (17)C ft. 1%ft.%%%%%1%ft.%%%%%1%ft.%%%%%1%ft. feet 5 ft.about Area 83´in. in.,meters. It has 72 square in. is 1508sq. )ngle ∴ ,wQRST = 3 feet The area of rectangle WXYZ is 48 sq. yards. It hasft.a , 8 8 8 D C P = 2 i (l i w) a perimeter of 70 meters. What are the dimensions of % yards. What are dimensions missing width Psquare = of34feet. It has gle ABCD anthe area Rectangle JKLM has an area of ,128 square inches. It 5offt.15 :thefind thehas perimeter WXYZ is 150 sq. meters. It has rectangle of rectangle isperimeter 48 sq. yards. Itrectangle? has a ?frt,1:,Find,the,missing,width., P = 2The iWXYZ? (9aarea +side 8) ofofrectangle 5 feet. WhatQRST is the of the has 8 inches. What is the perimeter of the B w , a perimeter 70 meters. M What are the dimensions of :r=offind the 9 ofin. )WhatA arewidth 232 × (yards. lthe + wmissing rectangle? ∴Adimensions PThe =5ft.34 inches areaof ofB rectangle WXYZ is 150 sq. meters. It has P =L2rectangle i (17) aQRST? The total weight is or 1%piece% pounds. 1%piece% WXYZ? R , ew B 5 ft. A ft. B ) ÷ 5 A =15l 3×sq. 5l iA +w315 Al:==2lA××=(w 15 sq. ft. 3of 70 meters. a perimeter What are the dimensions of P = 34 w 3 15yd. , 5i w ft. D 25××=8w 548==sq. Q RP15 = ÷25ft. + 15 w)Csq. ft. WXYZ? = 34 inches 5×D(lrectangle C Part∴1:PFind the missing length. 5 = 3 feet w 15 sq. ft. 15 = 5i 3 ft. A = l × w ∴ P = 1 6 5 = 5 × 3 Sfeet ft. How could you combine two or more sandwiches to get length dth 48 sq. yd. D P = 25 × (l + w)C feet the w ∴∴ ww==33 feet A= liw ,perimeter ft. a weight of one pound? T S or 48 Find l5 + w BC length D perimeter A 72 = l i 8 l:+find w÷) 2the w 5 ft.ft. 8 rtof theQRST perimeter. a5 48 yards. It has a 72 ÷ 8The = l area i 8 ÷ 8of rectangle WXYZ is 150 sq. meters. It has )Find +2:3rectangle ×A (ft. l + lw Any combination of weights that equal are Pairs for 48 Find 3 Pis = 152sq. sq. 5 +)3w w) B ) What 232 × (yards. lthe + wmissing 1: find width a perimeter of 70 meters. What are the dimensions of er=of are the dimensions of ft.32 = 2 × (l + w 8 ft. )ft. 9rectangle =l WXYZ? D e×=QRST? 48 2l××(5w+ 3) 53 AP =152sq. 5C×ft. (ft.÷l +2 wB)3 A inches 16=feet ( ) 32 ÷ 2 = 2ft. × l + w ∴l = 9 ft. 2 6 2 2 4 2×8 (l + w )ft. 3+ =)1525 × 5×==24 D2w Q5 × w R 15 sq. ft. C3 ft. 16 = ÷3(l5ft. correct. For example, + or + + × 16 ∴ P = 1 6 feet ( ) 3 2 ÷ 2 = 2 × l + w ÷ 2 A = lft.× w 5 = 5×3 8 8 8 8 8 Part 2: Find the perimeter. D dth yd. ×∴ 12,w =483sq. P= = (25l5×+ft. (lw+)w)C feet 16 feet The area of rectangle WXYZ is 150 sq. meters. It has angle QRST is 48 sq. yards. It has a Factor Pairs ft. 8 ×of8TtheWhat P = 2 i (lofi w) a perimeter 70 meters. What are the dimensions of length w yards. are theSdimensions of both equal , or 1 pound. 2: find the perimeter The area of rectangle WXYZ is 150 sq. meters. It has rectangle WXYZ? ons 49 ae? of rectangle QRST is 48Pairs sq. yards. It has a P = 2 i (9 + 8) Sums of48 the Factor 8 w Pairs for Find l + w a perimeter of 70 meters. What are the dimensions of 5 aredimensions theAdimensions of B Per26 =of232 × (yards. l + w )What ∴ The RST P = 2rectangle i (17) WXYZ? ft. R e QRST? + w Pd. 2÷ ×=(2 549+ 3) of rectangle 19 ×=48 48 P QRST =152sq. × (ft.l + w )3 P = 34 A = l 3× w ∴ft.The dimensions ×12 yd. 48 sq. yd. P2+ 2 ×= 826 areR4P =yd. 16 Q ×=24 24 2 ×3 2 +=w) 25 × (lQRST + wC)ft. ∴ P = 34 inches D(l of rectangle +× 16 = 119 A = l × w ∴ P = 6 feet S 314 16 3are 2 ÷ 42 yd. = 2ft.×12 × (l +yd. w)÷ 2 length 48 sq. yd. dth P = 2 × (l + w) 4+×12 12 = 16 16 = (l + w ) T8 = 14 S 6 + or 48 Find l + w4.MD.3 Page 8 of 9 MCC@WCCUSD (WCCUSD) 02/10/16 length 6×8 f 9 MCC@WCCUSD (WCCUSD) 02/12/15 MD.3 The area of rectangle WXYZ is 150 sq. meters. It has aePairs of rectangle QRST sq. Pis=482Pairs × (yards. l + lw+)Itwhas a forof48the Find Sums Factor

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∠ABC represents one-third of the circle. We know a circle is equal to 360° . We can divide: 360 ÷ 3 = 120 ∴∠ABC = 120°

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