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STUDENT EDITION Grade 5 VOLUME 2 Mission 5 Volume Area and Shapes Mission 6 The Coordinate Plane NAME

2023 Zearn Portions of this work Zearn Math are derivative of Eureka Math and licensed by Great Minds 2019 Great Minds All rights reserved Zearn is a registered trademark Printed in the U S A ISBN 979 8 88868 889 2

ZEARN MATH Student Edition G5M5 Table of Contents Table of Contents Mission 5 Lesson 1 3 Lesson 2 9 Lesson 3 15 Lesson 4 19 Lesson 5 23 Lesson 6 27 Lesson 7 29 Lesson 8 33 Lesson 9 37 Lesson 10 43 Lesson 11 47 Lesson 12 51 Lesson 13 57 Lesson 14 59 Lesson 15 63 Lesson 16 69 Lesson 17 73 Lesson 18 77 Lesson 19 81 Lesson 20 85 Lesson 21 89 iii

ZEARN MATH Student Edition G5M6 Table of Contents Mission 6 Lesson 1 95 Lesson 2 97 Lesson 3 101 Lesson 4 105 Lesson 5 111 Lesson 6 115 Lesson 7 121 Lesson 8 127 Lesson 9 131 Lesson 10 135 Lesson 11 139 Lesson 12 143 Lesson 13 147 Lesson 14 149 Lesson 15 153 Lesson 16 155 Lesson 17 159 Lesson 18 161 Lesson 19 165 Lesson 20 169 Lesson 26 175 Lesson 27 179 Lesson 28 181 iv

ZEARN MATH Student Edition G5M6 Table of Contents Lesson 29 185 Lesson 30 187 Lesson 31 189 Lesson 32 191 Lesson 33 197 Lesson 34 199 v

Grade 5 Mission 5 Volume Area and Shapes

ZEARN MATH Student Edition G5M5 Lesson 1 Lesson 1 Word Problem Jackie and Ron both have 12 centimeter cubes Jackie builds a tower 6 cubes high and 2 cubes wide Ron builds one 6 cubes long and 2 cubes wide Jackie says her structure has the greater volume because it is taller Ron says that the structures have the same volume Who is correct Draw a picture to explain how you know Use grid paper if you wish 3

ZEARN MATH Student Edition G5M5 Lesson 1 Name _________________________________ Date ____________ GRADE 5 MISSION 5 Lesson 1 Exit Ticket 1 What is the volume of the figures pictured below a b 2 Draw a picture of a figure with a volume of 3 cubic units on the dot paper 4

ZEARN MATH Student Edition G5M5 Lesson 1 CENTIMETER GRID PAPER CONCEPT EXPLORATION TEMPLATE 1 5

ZEARN MATH Student Edition G5M5 Lesson 1 ISOMETRIC DOT PAPER CONCEPT EXPLORATION TEMPLATE 2 7

ZEARN MATH Student Edition G5M5 Lesson 2 Lesson 2 Word Problem Mike uses 12 centimeter cubes to build structures Use centimeter cubes to build at least 3 different structures with the same volume as Mike s Record one of your structures on dot paper 9

ZEARN MATH Student Edition G5M5 Lesson 2 Name _________________________________ Date ____________ GRADE 5 MISSION 5 Lesson 2 Exit Ticket 1 If this figure were to be folded into a box how many cubes would fill it Number of cubes 2 Predict how many centimeter cubes will fit in the box and briefly explain your prediction Use cubes to find the actual volume The figure is not drawn to scale Prediction Actual 10

ZEARN MATH Student Edition G5M5 Lesson 2 PROBLEM SET 1 Shade the following figures on centimeter grid paper Cut and fold each to make 3 open boxes taping them so they hold their shapes Pack each box with cubes Write how many cubes fill each box a Number of cubes b Number of cubes c Number of cubes 11

ZEARN MATH Student Edition G5M5 Lesson 2 2 Predict how many centimeter cubes will fit in each box and briefly explain your predictions Use cubes to find the actual volume The figures are not drawn to scale a Prediction Actual b Prediction Actual c 12 Prediction Actual

ZEARN MATH Student Edition G5M5 Lesson 2 3 Cut out the net in the template and fold it into a cube Predict the number of 1 centimeter cubes that would be required to fill it a Prediction b Explain your thought process as you made your prediction c How many 1 centimeter cubes are used to fill the figure Was your prediction accurate 13

ZEARN MATH Student Edition G5M5 Lesson 3 Lesson 3 Word Problem An ice cube tray has two rows of 8 ice cubes How many ice cubes are in a stack of 12 ice cube trays Draw a picture to explain your reasoning 15

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 3 Date ____________ GRADE 5 MISSION 5 Lesson 3 Exit Ticket 1 Use unit cubes to build the figure and fill in the missing information Number of layers Number of cubes in each layer Volume cubic centimeters 2 This prism measures 3 units by 4 units by 2 units Draw the layers as indicated Number of layers 4 Number of cubic units in each layer 6 Volume 16 cubic centimeters

ZEARN MATH Student Edition G5M5 Lesson 3 RECTANGULAR PRISM RECORDING SHEET CONCEPT EXPLORATION TEMPLATE 17

ZEARN MATH Student Edition G5M5 Lesson 4 Lesson 4 Word Problem Draw a 2 cm 2 cm 1 cm rectangular prism on the board or project an image of one on the board Karen says that the volume of this prism is 5 cm3 and that she calculated it by adding the sides together Give the correct volume of this prism and explain Karen s error 19

ZEARN MATH Student Edition G5M5 Lesson 4 Name _________________________________ Date ____________ GRADE 5 MISSION 5 Lesson 4 Exit Ticket 1 Calculate the volume of the prism Length mm Width mm Height mm Volume mm Write the multiplication sentence that shows how you calculated the volume Be sure to include the units 2 A rectangular prism has a top face with an area of 20 ft and a height of 5 ft What is the volume of this rectangular prism 20

ZEARN MATH Student Edition G5M5 Lesson 4 RECTANGULAR PRISM RECORDING SHEET CONCEPT EXPLORATION TEMPLATE 21

ZEARN MATH Student Edition G5M5 Lesson 5 Lesson 5 Name _________________________________ Date ____________ GRADE 5 MISSION 5 Lesson 5 Exit Ticket 1 Find the volume of the prism 2 Shade the beaker to show how much liquid would fill the box 23

ZEARN MATH Student Edition G5M5 Lesson 5 PROBLEM SET 1 Determine the volume of two boxes on the table using cubes and then confirm by measuring and multiplying Number of Cubes Packed Box Number Measurements Length Width Height Volume 2 Using the same boxes from Problem 1 record the amount of liquid that your box can hold Box Number Liquid the Box Can Hold mL mL 25

ZEARN MATH Student Edition G5M5 Lesson 5 3 Shade to show the water in the beaker At first After 1 mL water added mL 26 mL After 1 cm cube added mL

ZEARN MATH Student Edition G5M5 Lesson 6 Lesson 6 Word Problem A storage company advertises three different choices for all your storage needs The Cube a true cube with a volume of 64 m3 The Double double the volume of The Cube and The Half half the volume of The Cube What could be the dimensions of the three storage units How might The Double and The Half be oriented to cover the most floor space The most height 27

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 6 Date ____________ GRADE 5 MISSION 5 Lesson 6 Exit Ticket 1 The image below represents three planters that are filled with soil Find the total volume of soil in the three planters Planter A is 14 inches by 3 inches by 4 inches Planter B is 9 inches by 3 inches by 3 inches 28

ZEARN MATH Student Edition G5M5 Lesson 7 Lesson 7 Name _________________________________ Date ____________ GRADE 5 MISSION 5 Lesson 7 Exit Ticket 1 A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters If Jean were to double these dimensions she believes she would only double the volume Is she correct Explain why or why not Include a drawing in your explanation 29

ZEARN MATH Student Edition G5M5 Lesson 7 PROBLEM SET Geoffrey builds rectangular planters 1 Geoffrey s first planter is 8 feet long and 2 feet wide The container is filled with soil to a height of 3 feet in the planter What is the volume of soil in the planter Explain your work using a diagram 2 Geoffrey wants to grow some tomatoes in four large planters He wants each planter to have a volume of 320 cubic feet but he wants them all to be different Show four different ways Geoffrey can make these planters and draw diagrams with the planters measurements on them Planter A Planter B Planter C Planter D 31

ZEARN MATH Student Edition G5M5 Lesson 7 3 Geoffrey wants to make one planter that extends from the ground to just below his back window The window starts 3 feet off the ground If he wants the planter to hold 36 cubic feet of soil name one way he could build the planter so it is not taller than 3 feet Explain how you know 4 After all of this gardening work Geoffrey decides he needs a new shed to replace the old one His current shed is a rectangular prism that measures 6 feet long by 5 feet wide by 8 feet high He realizes he needs a shed with 480 cubic feet of storage a Will he achieve his goal if he doubles each dimension Why or why not b If he wants to keep the height the same what could the other dimensions be for him to get the volume he wants c If he uses the dimensions in part b what could be the area of the new shed s floor 32

ZEARN MATH Student Edition G5M5 Lesson 8 Lesson 8 Name _________________________________ Date ____________ GRADE 5 MISSION 5 Lesson 8 Exit Ticket 1 Sketch a rectangular prism that has a volume of 36 cubic cm Label the dimensions of each side on the prism Fill in the blanks that follow Height cm Length cm Width cm Volume cubic cm 33

ZEARN MATH Student Edition G5M5 Lesson 8 PROBLEM SET Using the box patterns construct a sculpture containing at least 5 but not more than 7 rectangular prisms that meets the following requirements in the table below 1 My sculpture has 5 to 7 rectangular prisms Number of prisms 2 Each prism is labeled with a letter dimensions and volume 3 4 5 Prism A by by Volume Prism B by by Volume Prism C by by Volume Prism D by by Volume Prism E by by Volume Prism by by Volume Prism by by Volume 1 Prism D has __ the volume of 2 Prism D Volume Prism Prism Volume 1 Prism E has __ the volume of 3 Prism E Volume Prism Prism Volume The total volume of all the prisms is Total volume 1 000 cubic centimeters or less Show calculations 35

ZEARN MATH Student Edition G5M5 Lesson 9 Lesson 9 Word Problem The chart below shows the dimensions of various rectangular packing boxes If possible answer the following without calculating the volume a Which box will provide the greatest volume b Which box has a volume that is equal to the volume of the book box How do you know c Which box is __ 31 the volume of the lamp box Box Type Dimensions l w h Book Box 12 in 12 in 12 in Picture Box 36 in 12 in 36 in Lamp Box 12 in 9 in 48 in The Flat 12 in 6 in 24 in 37

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 9 Date ____________ GRADE 5 MISSION 5 Lesson 9 Exit Ticket A student designed this sculpture Using the dimensions on the sculpture find the dimensions of each rectangular prism Then calculate the volume of each prism a Rectangular Prism Y Height inches Length inches Width Volume inches cubic inches b Rectangular Prism Z Height inches Length inches Width inches Volume cubic inches c Find the total volume of the sculpture Label the answer 38

ZEARN MATH Student Edition G5M5 Lesson 9 PROBLEM SET I reviewed project number Use the rubric below to evaluate your friend s project Ask questions and measure the parts to determine whether your friend has all the required elements Respond to the prompt in italics in the third column The final column can be used to write something you find interesting about that element if you like Space is provided beneath the rubric for your calculations Requirement Element Present Specifics of Element 1 The sculpture has 5 to 7 prisms of prisms 2 All prisms are labeled with a letter Write letters used 3 All prisms have correct dimensions with units written on the top List any prisms with incorrect dimensions or units 4 All prisms have correct volume with units written on the top List any prism with incorrect dimensions or units 5 Prism D has __ the 1 2 Record on next page 1 3 Record on next page Notes volume of another prism 6 Prism E has __ the volume of another prism 7 The total volume of all the parts together is 1 000 cubic units or less Total volume Calculations 39

ZEARN MATH Student Edition G5M5 Lesson 9 8 Measure the dimensions of each prism Calculate the volume of each prism and the total volume Record that information in the table below If your measurements or volume differ from those listed on the project put a star by the prism label in the table below and record on the rubric Prism Dimensions A by by B by by C by by D by by E by by by by by by 1 9 Prism D s volume is __ that of Prism 2 Show calculations below 1 10 Prism E s volume is __ that of Prism 3 Show calculations below 11 Total volume of sculpture Show calculations below 40 Volume

Project lacks color and is not carefully constructed All elements of the project are c arefully and colorfully constructed Neatness and Use of Color Some elements of the project are carefully and colorfully constructed Volume calculations 5 include 4 or more errors Project lacks color or is not carefully constructed 4 20 16 40 TOTAL 2 4 Volume calculations Volume calculations Volume calculations for all prisms are include 1 error include 2 3 errors correct Project is missing 3 or more components and an evaluation of a classmate s project has been completed Accuracy of Calculations Project is missing 2 components and an evaluation of a classmate s project has been completed Project is missing 1 component and a detailed evaluation of a classmate s project has been completed Subtotal All components of the project are present and correct and a detailed evaluation of a classmate s project has been completed 1 Completeness of Personal Project and Classmate Evaluation 2 3 4 CATEGORY EVALUATION RUBRIC LESSON 8 CONCEPT EXPLORATION TEMPLATE 5 ZEARN MATH Student Edition G5M5 Lesson 9 41

ZEARN MATH Student Edition G5M5 Lesson 10 Lesson 10 Word Problem Heidi and Andrew designed two raised flowerbeds for their garden Heidi s flowerbed was 5 feet long by 3 feet wide and Andrew s flowerbed was the same length but twice as wide Calculate how many cubic feet of soil they need to buy to have soil to a depth of 2 feet in both flowerbeds 43

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 10 Date ____________ GRADE 5 MISSION 5 Lesson 10 Exit Ticket 1 Emma tiled a rectangle and then sketched her work Fill in the missing information and multiply to find the area Emma s Rectangle units long units wide Area 44 units

ZEARN MATH Student Edition G5M5 Lesson 10 PROBLEM SET Sketch the rectangles and your tiling Write the dimensions and the units you counted in the blanks Then use multiplication to confirm the area Show your work We will do Rectangles A and B together 1 Rectangle A Rectangle A is units long Area 2 Rectangle B units 3 Rectangle C Rectangle B is units long Area units wide Rectangle C is units wide units units long Area units wide units 4 Rectangle D 5 Rectangle E Rectangle D is units long Area Rectangle E is units wide units units long Area units wide units 45

ZEARN MATH Student Edition G5M5 Lesson 10 1 6 The rectangle to the right is composed of squares that measure 2 __ inches on 4 each side What is its area in square inches Explain your thinking using pictures and numbers 1 7 A rectangle has a perimeter of 3 5 __ feet If the length is 12 feet what is the 2 area of the rectangle 46

ZEARN MATH Student Edition G5M5 Lesson 11 Lesson 11 Word Problem Mrs Golden wants to cover her 6 5 foot by 4 foot bulletin board with silver paper that comes in 1 foot squares How many squares does Mrs Golden need to cover her bulletin board Will there be any fractional pieces of silver paper left over Explain why or why not Draw a sketch to show your thinking 47

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 11 Date ____________ GRADE 5 MISSION 5 Lesson 11 Exit Ticket 1 To find the area Andrea tiled a rectangle and sketched her answer Sketch Andrea s rectangle and find the area Show your multiplication work 1 1 Rectangle is 2 __ units 2 __ units 2 2 Area 48

ZEARN MATH Student Edition G5M5 Lesson 11 PROBLEM SET Draw the rectangle and your tiling Write the dimensions and the units you counted in the blanks Then use multiplication to confirm the area Show your work 1 Rectangle A Rectangle A is units long Area 2 Rectangle B units Rectangle B is units long Area 3 Rectangle C units wide units Rectangle C is units long Area 4 Rectangle D units wide units wide units Rectangle D is units long Area units wide units 49

ZEARN MATH Student Edition G5M5 Lesson 11 5 Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows 2 of 5 Colleen used tiles that measured 1 __ cm in length Caroline used tiles that 3 1 measured 3 __ cm in length 3 a Draw the girls rectangles and label the lengths and widths of each b What are the areas of the rectangles in square centimeters c Compare the areas of the rectangles 6 A square has a perimeter of 51 inches What is the area of the square 50

ZEARN MATH Student Edition G5M5 Lesson 12 Lesson 12 Word Problem 1 Margo is designing a label The dimensions of the label are 3 __ inches by 2 1 1 __ inches What is the area of the label Use the RDW process 4 51

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 12 Date ____________ GRADE 5 MISSION 5 Lesson 12 Exit Ticket 1 Measure the rectangle to the nearest __ 41 inch with your ruler and label the dimensions Find the area 52

ZEARN MATH Student Edition G5M5 Lesson 12 PROBLEM SET 1 Measure each rectangle to the nearest __ 41 inch with your ruler and label the dimensions Use the area model to find each area a b c d 53

ZEARN MATH Student Edition G5M5 Lesson 12 e f 2 Find the area of rectangles with the following dimensions Explain your thinking using the area model 1 a 1 ft 1 __ ft 2 1 1 b 1 __ yd 1 __ yd 2 2 3 1 c 2 __ yd 1 __ yd 16 2 54

ZEARN MATH Student Edition G5M5 Lesson 12 3 Hanley is putting carpet in her house She wants to carpet her living room 1 which measures 15 ft 12 __ ft She also wants to carpet her dining room 3 1 1 which is 10 __ ft 10 __ ft How many square feet of carpet will she need to cover 4 3 both rooms 3 4 Fred cut a 9 __ inch square of construction paper for an art project He cut a 4 1 square from the edge of the big rectangle whose sides measured 3 __ inches 4 See the picture below a What is the area of the smaller square that Fred cut out b What is the area of the remaining paper 55

ZEARN MATH Student Edition G5M5 Lesson 13 Lesson 13 Word Problem 1 1 The Colliers want to put new flooring in a 6 __ foot by 7 __ foot bathroom The tiles 2 3 they want come in 12 inch squares What is the area of the bathroom floor If the tiles cost 3 25 per square foot how much will they spend on the flooring 57

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 13 Date ____________ GRADE 5 MISSION 5 Lesson 13 Exit Ticket Find the area of the following rectangles Draw an area model if it helps you 7 14 1 __ mm __ mm 5 2 18 7 2 5 __ km __ km 4 8 58

ZEARN MATH Student Edition G5M5 Lesson 14 Lesson 14 Name _________________________________ Date ____________ GRADE 5 MISSION 5 Lesson 14 Exit Ticket 3 1 Mr Klimek made his wife a rectangular vegetable garden The width is 5 __ ft 4 4 and the length is 9 __ ft 5 What is the area of the garden 59

ZEARN MATH Student Edition G5M5 Lesson 14 PROBLEM SET 1 George decided to paint a wall with two windows Both windows are 3 __ 21 ft by 1 4 __ ft rectangles Find the area the paint needs to cover 2 2 Joe uses square tiles some of which he cuts in half to make the figure below If each square tile has a side length of 2__ 21 inches what is the total area of the figure 3 All In One Carpets is installing carpeting in three rooms How many square feet of carpet are needed to carpet all three rooms 61

ZEARN MATH Student Edition G5M5 Lesson 14 4 Mr Johnson needs to buy sod for his front lawn 2 1 a If the lawn measures 36 __ ft by 45 __ ft how many square feet of sod will 6 3 he need b If sod is only sold in whole square feet how much will Mr Johnson have to pay Sod Prices Area Price per Square Foot First 1 000 sq ft 0 27 Next 500 sq ft 0 22 Additional square feet 0 19 5 Jennifer s class decides to make a quilt Each of the 24 students will make a quilt square that is 8 inches on each side When they sew the quilt together 3 every edge of each quilt square will lose __ of an inch 4 a Draw one way the squares could be arranged to make a rectangular quilt Then find the perimeter of your arrangement b Find the area of the quilt 62

ZEARN MATH Student Edition G5M5 Lesson 15 Lesson 15 Name _________________________________ Date ____________ GRADE 5 MISSION 5 Lesson 15 Exit Ticket 3 1 Wheat grass is grown in planters that are 3 __ 21 inches by 1 __ 4 inches If there is a 6 6 array of these planters with no space between them what is the area covered by the planters 63

ZEARN MATH Student Edition G5M5 Lesson 15 PROBLEM SET 1 The length of a flowerbed is 4 times as long as its width If the width is 3 __ 8 meter what is the area 5 2 Mrs Johnson grows herbs in square plots Her basil plot measures __ 8 yd on each side a Find the total area of the basil plot b Mrs Johnson puts a fence around the basil If the fence is 2 ft from the edge of the garden on each side what is the perimeter of the fence in feet c What is the total area in square feet that the fence encloses 65

ZEARN MATH Student Edition G5M5 Lesson 15 1 3 Janet bought 5 yards of fabric 2 __ feet wide to make curtains She used __ 31 of 4 the fabric to make a long set of curtains and the rest to make 4 short sets a Find the area of the fabric she used for the long set of curtains b Find the area of the fabric she used for each of the short sets 66

ZEARN MATH Student Edition G5M5 Lesson 15 4 Some wire is used to make 3 rectangles A B and C Rectangle B s dimensions 3 are __ cm larger than Rectangle A s dimensions and Rectangle C s dimensions 5 3 1 are __ cm larger than Rectangle B s dimensions Rectangle A is 2 cm by 3 __ cm 5 5 a What is the total area of all three rectangles b If a 40 cm coil of wire was used to form the rectangles how much wire is left 67

ZEARN MATH Student Edition G5M5 Lesson 16 Lesson 16 Word Problem Kathy spent 3 fifths of her money on a necklace and 2 thirds of the remainder on a bracelet If the bracelet cost 17 how much money did she have at first 69

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 16 Date ____________ GRADE 5 MISSION 5 Lesson 16 Exit Ticket 1 Use a ruler and a set square to draw a trapezoid 2 What attribute must be present for a quadrilateral to also be a trapezoid 70

ZEARN MATH Student Edition G5M5 Lesson 16 QUADRILATERAL HIERARCHY CONCEPT EXPLORATION TEMPLATE 2 71

ZEARN MATH Student Edition G5M5 Lesson 17 Lesson 17 Word Problem Ava drew the quadrilateral pictured and called it a trapezoid Adam said Ava is wrong Explain to your partner how a set square can be used to determine who is correct Support your answer using the properties of trapezoids 73

ZEARN MATH Student Edition Name _________________________________ GRADE 5 MISSION 5 Lesson 17 Exit Ticket 1 Draw a parallelogram 2 When is a trapezoid also called a parallelogram 74 G5M5 Lesson 17 Date ____________

ZEARN MATH Student Edition G5M5 Lesson 17 QUADRILATERAL HIERARCHY WITH PARALLELOGRAM CONCEPT EXPLORATION TEMPLATE 1 75

ZEARN MATH Student Edition G5M5 Lesson 18 Lesson 18 Word Problem How many 2 inch cubes are needed to build a rectangular prism that measures 10 inches by 14 inches by 6 inches 77

ZEARN MATH Student Edition Name _________________________________ GRADE 5 MISSION 5 Lesson 18 Exit Ticket 1 Draw a rhombus 2 Draw a rectangle 78 G5M5 Lesson 18 Date ____________

ZEARN MATH Student Edition G5M5 Lesson 18 QUADRILATERAL HIERARCHY WITH SQUARE CONCEPT EXPLORATION TEMPLATE 1 79

ZEARN MATH Student Edition G5M5 Lesson 19 Lesson 19 Word Problem The teacher asked her class to draw parallelograms that are rectangles Kylie drew Figure 1 and Zach drew Figure 2 Zach agrees that Kylie has drawn a parallelogram but says that it is not a rectangle Is he correct Use properties to justify your answer 81

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 19 Date ____________ GRADE 5 MISSION 5 Lesson 19 Exit Ticket 1 Draw a square 2 List the property that must be present to call a rectangle a square 82

ZEARN MATH Student Edition G5M5 Lesson 19 QUADRILATERAL HIERARCHY WITH KITE CONCEPT EXPLPORATION TEMPLATE 1 83

ZEARN MATH Student Edition G5M5 Lesson 20 Lesson 20 Word Problem 3 1 Nita buys a rug that is 1 0 __ feet 1 2 __ feet What is the area of the rug Show your 4 2 thinking with an area model and a multiplication sentence 85

ZEARN MATH Student Edition Name _________________________________ G5M5 Lesson 20 Date ____________ GRADE 5 MISSION 5 Lesson 20 Exit Ticket 1 Use your tools to draw a square in the space below Then fill in the blanks with an attribute There is more than one answer to some of these a Because a square is a kite it must have b Because a square is a rhombus it must have c Because a square is a rectangle it must have d Because a square is a parallelogram it must have e Because a square is a trapezoid it must have f Because a square is a quadrilateral it must have 86

ZEARN MATH Student Edition G5M5 Lesson 20 QUADRILATERAL HIERARCHY WITH KITE CONCEPT EXPLPORATION TEMPLATE 1 87

ZEARN MATH Student Edition G5M5 Lesson 21 Lesson 21 Name _________________________________ Date ____________ GRADE 5 MISSION 5 Lesson 21 Exit Ticket 1 Use the word bank to fill in the blanks trapezoids parallelograms All are but not all are 2 Use the word bank to fill in the blanks squares All but not all rhombuses are are 89

ZEARN MATH Student Edition G5M5 Lesson 21 PROBLEM SET 1 Write the number on your task card and a summary of the task in the blank Then draw the figure in the box Label your figure with as many names as you can Circle the most specific name Task Task Task Task Task Task 91

ZEARN MATH Student Edition G5M5 Lesson 21 2 John says that because rhombuses do not have perpendicular sides they cannot be rectangles Explain his error in thinking 3 Jack says that because kites do not have parallel sides a square is not a kite Explain his error in thinking 92

Grade 5 Mission 6 The Coordinate Plane

ZEARN MATH Student Edition G5M6 Lesson 1 Lesson 1 Word Problem A landscaper is planting some marigolds in a row The row is 2 yards long The flowers must be spaced __ 31 yard apart so that they will have proper room to grow The landscaper plants the first flower at 0 Place points on the number line to show where the landscaper should place the other flowers How many marigolds will fit in this row 95

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 1 Date ____________ GRADE 5 MISSION 6 LESSON 1 Exit Ticket 1 Use number line l to answer the questions a Plot point C so that its distance from the origin is 1 4 b Plot point E __ closer to the origin than C What is its coordinate 5 c Plot a point at the midpoint of C and E Label it H 96

ZEARN MATH Student Edition G5M6 Lesson 2 Lesson 2 Word Problem The picture shows an intersection in Stony Brook Village a The town wants to construct two new roads Elm Street and King Street Elm Street will intersect Lower Sheep P asture Road run parallel to Main Street and be perpendicular to Stony Brook Road Sketch Elm Street b King Street will be perpendicular to Main Street and begin at the intersection of Upper Sheep Pasture Road and East Main Street Sketch King Street 97

ZEARN MATH Student Edition G5M6 Lesson 2 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 2 Exit Ticket 1 Name the coordinates of the shapes below Shape Star Arrow Heart 1 2 Plot a square at 3 3 __ 2 1 3 Plot a triangle at 4 __ 1 2 98 x coordinate y coordinate

ZEARN MATH Student Edition G5M6 Lesson 2 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE 99

ZEARN MATH Student Edition G5M6 Lesson 3 Lesson 3 Word Problem The captain of a ship has a chart to help him navigate through the islands He must follow points that show the deepest part of the channel List the coordinates the captain needs to follow in the order he will encounter them 1 2 3 4 5 6 101

ZEARN MATH Student Edition G5M6 Lesson 3 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 3 Exit Ticket 1 Use a ruler on the grid below to construct the axes for a coordinate plane The x axis should intersect points L and M Construct the y axis so that it contains points K and L Label each axis a Place a hash mark on each grid line on the x and y axis b Label each hash mark so that A is located at 1 1 c Plot the following points 102 Point x coordinate y coordinate B 1 __ 4 0 C 1 1 __ 4 3 __ 4

ZEARN MATH Student Edition G5M6 Lesson 3 UNLABELED COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE 103

ZEARN MATH Student Edition G5M6 Lesson 4 Lesson 4 Word Problem Violet and Magnolia are shopping for boxes to organize the materials for their design company Magnolia wants to get small boxes which measure 16 in 10 in 7 in Violet wants to get large boxes which measure 32 in 20 in 14 in How many small boxes will equal the volume of four large boxes 105

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 4 Date ____________ GRADE 5 MISSION 6 Lesson 4 Exit Ticket a Fatima and Rihana are playing Battleship They labeled their axes using just whole numbers Fatima s first guess is 2 2 Rihana says Hit Give the coordinates of four points that Fatima might guess next b Rihana says Hit for the points directly above and below 2 2 What are the coordinates that Fatima guessed 106

ZEARN MATH Student Edition G5M6 Lesson 4 COORDINATE GRID FLUENCY TEMPLATE 107

ZEARN MATH Student Edition G5M6 Lesson 4 PROBLEM SET Battleship Rules Goal To sink all of your opponent s ships by correctly guessing their coordinates Materials 1 grid sheet per person per game Red crayon marker for hits Black crayon marker for misses Folder to place between players Ships Each player must mark 5 ships on the grid Aircraft carrier plot 5 points Battleship plot 4 points Cruiser plot 3 points Submarine plot 3 points Patrol boat plot 2 points Setup With your opponent choose a unit length and fractional unit for the coordinate plane Label the chosen units on both grid sheets Secretly select locations for each of the 5 ships on your My Ships grid All ships must be placed horizontally or vertically on the coordinate plane Ships can touch each other but they may not occupy the same coordinate Play Players take turns firing one shot to attack enemy ships On your turn call out the coordinates of your attacking shot Record the coordinates of each attack shot Your opponent checks his her My Ships grid If that coordinate is unoccupied your opponent says Miss If you named a coordinate occupied by a ship your opponent says Hit Mark each attempted shot on your Enemy Ships grid Mark a black X on the coordinate if your opponent says Miss Mark a red on the coordinate if your opponent says Hit 109

ZEARN MATH Student Edition G5M6 Lesson 4 On your opponent s turn if he she hits one of your ships mark a red on that coordinate of your My Ships grid When one of your ships has every coordinate marked with a say You ve sunk my name of ship Victory The first player to sink all or the most opposing ships wins My Ships Draw a red over any coordinate your opponent hits Once all of the coordinates of any ship have been hit say You ve sunk my name of ship Aircraft carrier 5 points Battleship 4 points Cruiser 3 points Submarine 3 points Patrol boat 2 points Enemy Ships Draw a black X on the coordinate if your opponent says Miss Draw a red on the coordinate if your opponent says Hit Draw a circle around the coordinates of a sunken ship Attack Shots Record the coordinates of each shot below and whether it was a hit or an X miss 110

ZEARN MATH Student Edition G5M6 Lesson 5 Lesson 5 Word Problem A company has developed a new game Cartons are needed to ship 40 games at a time Each game is 2 inches high by 7 inches wide by 14 inches long How would you recommend packing the board games in the carton What are the dimensions of a carton that could ship 40 board games with no extra room in the box 111

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 5 Date ____________ GRADE 5 MISSION 6 LESSON 5 Exit Ticket 1 Use a straight edge to construct a line that goes through points A and B Label the line l 2 Which axis is parallel to line l Which axis is perpendicular to line l 3 Plot two more points on line l Name them C and D 4 Give the coordinates of each point below A B C D 5 Give the coordinates of another point that falls on line l with a y coordinate greater than 20 112

ZEARN MATH Student Edition G5M6 Lesson 5 COORDINATE PLANE PRACTICE CONCEPT EXPLORATION TEMPLATE Point x y x y H I J K L Point x y x y D 1 2 __ 2 0 2 __21 0 E 1 2 __ 2 2 2 __21 2 F 1 2 __ 2 4 2 __21 4 113

ZEARN MATH Student Edition G5M6 Lesson 6 Lesson 6 Word Problem Adam built a toy box for his children s wooden blocks a If the inside dimensions of the box are 18 inches by 12 inches by 6 inches what is the maximum number of 2 inch wooden cubes that will fit in the toy box b What if Adam had built the box 16 inches by 9 inches by 9 inches What is the maximum number of 2 inch wooden cubes that would fit in this size box 115

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 6 Date ____________ GRADE 5 MISSION 6 LESSON 6 Exit Ticket You ll need two colored pencils for this exit ticket 1 __1 1 Plot the point H 2 __ 1 2 2 2 Line l passes through point H and is parallel to the y axis Construct line l 3 3 Construct line m such that the y coordinate of every point is __ 4 4 Line m is units from the x axis 5 Give the coordinates of the point on line m that is __ 21 unit from the y axis 116

ZEARN MATH Student Edition G5M6 Lesson 6 3 6 With one colored pencil shade the portion of the plane that is less than __ unit 4 from the x axis 1 7 With another colored pencil shade the portion of the plane that is less than 2 __ 2 units from the y axis 8 Plot a point that lies in the double shaded region Give the coordinates of the point 117

ZEARN MATH Student Edition G5M6 Lesson 6 MILLIONS THROUGH THOUSANDTHS PLACE VALUE CHART FLUENCY TEMPLATE 1 000 000 Millions 100 000 10 000 1 000 100 10 1 Hundred Ten Thousands Hundreds Tens Ones Thousands Thousands 1 ___ 10 1 ____ 100 1 _____ 1000 Tenths Hundredths Thousandths 119

ZEARN MATH Student Edition G5M6 Lesson 6 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE Point 120 x y x y Point A D B E C C x y x y

ZEARN MATH Student Edition G5M6 Lesson 7 Lesson 7 Word Problem An orchard charges 0 85 to ship a quarter kilogram of grapefruit Each grapefruit weighs approximately 165 grams How much will it cost to ship 40 grapefruits 121

ZEARN MATH Student Edition G5M6 Lesson 7 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 7 Exit Ticket Complete the chart Then plot the points on the coordinate plane x y 0 4 2 6 3 7 7 11 x y 1 Use a straight edge to draw a line connecting these points 2 Write a rule to show the relationship between the x and y coordinates for points on the line 3 Name two other points that are also on this line 122

ZEARN MATH Student Edition G5M6 Lesson 7 COORDINATE GRID FLUENCY TEMPLATE 123

ZEARN MATH Student Edition G5M6 Lesson 7 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE PAGE 1 OF 2 1 a 124 b Point x y x y Point x y x y A 0 0 0 0 G 0 3 0 3 B 1 1 1 1 H __ 21 1 3 __ 2 1 1 __ 3 __ 2 2 C 2 2 2 2 I 1 4 1 4 D 3 3 3 3 J 1 1 __ 2 1 4 __ 2 1 1 __ 4 __ 1 2 2

ZEARN MATH Student Edition G5M6 Lesson 7 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE PAGE 2 OF 2 2 a Point x y L 0 3 M 2 3 N 4 3 Point x y O 0 0 P 1 2 Q 2 4 Point x y R 1 __ 2 b c 1 S 2 1 __ 2 T 3 2 __ 2 Point x y U 1 3 V 2 6 W 3 9 1 1 d 125

ZEARN MATH Student Edition G5M6 Lesson 8 Lesson 8 Word Problem The coordinate pairs listed locate points on two different lines Write a rule that describes the relationship between the x and y coordinates for each line 1 2 __1 Line 3 __ 7 1 __ 3 3 5 10 2 3 1 __ 1 Line m __ 3 1 3 __ 1 13 6 __ 2 4 2 6 3 127

ZEARN MATH Student Edition G5M6 Lesson 8 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 8 Exit Ticket 1 Complete this table with values for y such that each y coordinate is 5 more than 2 times as much as its corresponding x coordinate a Plot each point on the coordinate plane b Use a straight edge to draw a line connecting these points c Name 2 other points that fall on this line with y coordinates greater than 25 12 10 x y x y 8 0 6 2 4 3 5 2 0 128 2 4 6 8 10 12

ZEARN MATH Student Edition G5M6 Lesson 8 COORDINATE GRID INSERT FLUENCY TEMPLATE 129

ZEARN MATH Student Edition G5M6 Lesson 8 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE Line a x 130 Line b y x y x Line c y x y x y x y

ZEARN MATH Student Edition G5M6 Lesson 9 Lesson 9 Word Problem Maggie spent 46 20 to buy pencil sharpeners for her gift shop If each pencil sharpener costs 60 cents how many pencil sharpeners did she buy Solve by using the standard algorithm 131

ZEARN MATH Student Edition G5M6 Lesson 9 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 9 Exit Ticket 1 Complete the table for the given rules Then construct lines l and m on the coordinate plane Line l Line m Rule y is 5 more than x Rule y is 5 times as much as x x y x y x 0 1 2 4 y x y 0 1 2 4 20 15 10 5 0 132 5 10 15 20

ZEARN MATH Student Edition G5M6 Lesson 9 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE PAGE 1 OF 2 Line l Line m Rule y is 2 more than x Rule y is 5 more than x x 1 5 10 15 y x y x y x y 0 5 10 15 133

ZEARN MATH Student Edition G5M6 Lesson 9 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE PAGE 2 OF 2 Line p Line q Rule y is x times 2 Rule y is x times 3 x 134 y x y x y x y

ZEARN MATH Student Edition G5M6 Lesson 10 Lesson 10 Word Problem A 12 man relay team runs a 45 km race Each member of the team runs an equal distance How many kilometers does each team member run One lap around the track is 0 75 km How many laps does each team member run during the race 135

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 10 Date ____________ GRADE 5 MISSION 6 Lesson 10 Exit Ticket 1 Use the coordinate plane below to complete the following tasks Line p represents the rule x and y are equal a Construct a line a that is parallel to line p and contains point A b Name 3 points on line a c Identify a rule to describe line a 136

ZEARN MATH Student Edition G5M6 Lesson 10 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE PAGE 1 OF 2 Line p x 0 5 10 15 y x y x 7 10 13 18 Rule Rule Rule y is 0 more than x Rule y x y Line d Line c Line b x 2 4 8 11 y x y x y x y 5 7 12 15 137

ZEARN MATH Student Edition G5M6 Lesson 10 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE PAGE 2 OF 2 Line g Rule x 1 2 5 7 138 Line h Rule y x y x 3 6 12 15 y x y

ZEARN MATH Student Edition G5M6 Lesson 11 Lesson 11 Word Problem Michelle has 3 kg of strawberries that she divided equally into small bags with _ 51 kg in each bag a How many bags of strawberries did she make b She gave a bag to her friend Sarah Sarah ate half of her strawberries How many grams of strawberries does Sarah have left 139

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 11 Date ____________ GRADE 5 MISSION 6 LESSON 11 Exit Ticket 1 Complete the tables for the given rules Line l Rule Triple x x 0 1 2 3 y x y Line m Rule Triple x and then add 1 x y x y 0 1 2 3 a Draw each line on the coordinate plane above b Compare and contrast these lines 2 Circle the point s that the line for the rule multiply x by __ 31 and then add 1 would contain 1 1 2 1 0 __ 1 1 __ 2 1 __ 3 2 __ 2 3 3 2 140

ZEARN MATH Student Edition G5M6 Lesson 11 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE Line n x 0 1 2 4 Line l Line m Rule Triple x and then Rule Triple x Rule Triple x and then add 3 subtract 2 y x y x 0 1 2 3 y x y x y x y 1 2 3 4 141

ZEARN MATH Student Edition G5M6 Lesson 12 Lesson 12 Word Problem Mr Jones had 640 books He sold _ 41 of them for 2 00 each in the month of September He sold half of the remaining books in October Each book he sold in 3 October earned _ 4 of what each book sold for in September How much money did Mr Jones earn selling books Show your thinking with a tape diagram 143

ZEARN MATH Student Edition G5M6 Lesson 12 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 12 Exit Ticket 1 1 Write the rule for the line that contains the points 0 1 __ and 1 __ 3 2 2 a Identify 2 more points on this line Draw the line on the grid Point x y x y B C b Write a rule for a line that is parallel to BC and goes through point 1 __ 21 144

ZEARN MATH Student Edition G5M6 Lesson 12 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE Line l Line m Rule Rule Point x y x y Point A 1 1 __ 2 3 1 1 __ 3 2 A B E C F D G x y x y 145

ZEARN MATH Student Edition G5M6 Lesson 13 Lesson 13 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 13 Exit Ticket Use your straightedge to draw a segment parallel to each segment through the given point a b I H c J 147

ZEARN MATH Student Edition RECORDING SHEET CONCEPT EXPLORATION TEMPLATE 2 148 G5M6 Lesson 13

ZEARN MATH Student Edition G5M6 Lesson 14 Lesson 14 Word Problem Drew s fish tank measures 32 cm by 22 cm by 26 cm He pours 20 liters of water into it and some water overflows the tank Find the volume of water in milliliters that overflows 149

ZEARN MATH Student Edition G5M6 Lesson 14 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 14 Exit Ticket 1 Use the coordinate plane below to complete the following tasks a Identify the locations of E and F E F b Draw EF c Generate coordinate pairs for L and M such that EF LM L d Draw LM 150 M

ZEARN MATH Student Edition G5M6 Lesson 14 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE 151

ZEARN MATH Student Edition G5M6 Lesson 15 Lesson 15 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 15 Exit Ticket 1 Draw a segment perpendicular to each given segment Show your thinking by sketching triangles as needed 153

ZEARN MATH Student Edition RECORDING SHEET CONCEPT EXPLORATION TEMPLATE 1 154 G5M6 Lesson 15

ZEARN MATH Student Edition G5M6 Lesson 16 Lesson 16 Word Problem a Complete the table for the rule y is 1 more than half x graph the coordinate pairs and draw a line to connect them b Give the y coordinate for the point on this line whose x coordinate is 42 _1 4 Extension Give the x coordinate for the point on this line whose y coordinate is 5 _1 2 x y __1 2 1 1 __ 2 1 2 __ 4 3 155

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 16 Date ____________ GRADE 5 MISSION 6 LESSON 16 Exit Ticket Use the coordinate plane below to complete the following tasks a Draw UV 1 b Plot point W 4 __ 6 2 c Draw VW d Explain how you know that UVW is a right angle without measuring it 156

ZEARN MATH Student Edition G5M6 Lesson 16 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE A x y B C D x y E F x y G H I 157

ZEARN MATH Student Edition G5M6 Lesson 17 Lesson 17 Word Problem Plot 10 8 and 3 3 on the coordinate plane connect the points with a straightedge and label them as C and D a Draw a segment parallel to CD b Draw a segment perpendicular to CD 159

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 17 Date ____________ GRADE 5 MISSION 6 Lesson 17 Exit Ticket 1 Draw 2 points on one side of the line below and label them T and U 2 Use your set square and ruler to draw symmetrical points about your line that correspond to T and U and label them V and W 160

ZEARN MATH Student Edition G5M6 Lesson 18 Lesson 18 Word Problem Denis buys 8 meters of ribbon He uses 3 25 meters for a gift He uses the remaining ribbon equally to tie bows on 5 boxes How much ribbon did he use on each box 161

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 18 Date ____________ GRADE 5 MISSION 6 Lesson 18 Exit Ticket 1 Kenny plotted the following pairs of points and said they made a symmetric figure about a line with the rule y is always 4 3 2 and 3 6 4 3 and 5 5 3 5 _ and 5 7 _1 4 4 7 1 _1 and 7 6 _1 2 2 Is his figure symmetrical about the line How do you know 162

ZEARN MATH Student Edition G5M6 Lesson 18 COORDINATE PLANE CONCEPT EXPLORATION TEMPLATE Table A Table C Point x y A B C D E x y Table B Table D Point x y I H G F x y Table E Point x y A 1 1 B 1 1 1 __ 3 __ 2 2 C 2 3 D 1 2 __ 3 __1 2 2 E 2 2__1 2 2__1 F 3 2__1 2 2__1 G 3 2 H 3 2__1 1 2__1 163

ZEARN MATH Student Edition G5M6 Lesson 19 Lesson 19 Word Problem Three feet are equal to 1 yard The following table shows the conversion Use the information to complete the following tasks Feet Yards 3 1 6 2 9 3 12 4 1 Plot each set of coordinates 2 Use a straightedge to connect each point 3 Plot one more point on this line and write its coordinates 4 27 feet can be converted to how many yards 5 Write the rule that describes the line 165

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 19 Date ____________ GRADE 5 MISSION 6 Lesson 19 Exit Ticket 1 The line graph below tracks the water level of Plainsview Creek measured each Sunday for 8 weeks Use the information in the graph to answer the questions that follow a About how many feet deep was the creek in Week 1 b According to the graph which week had the greatest change in water depth c It rained hard throughout the sixth week During what other weeks might it have rained Explain why you think so d What might have been another cause leading to an increase in the depth of the creek 166

ZEARN MATH Student Edition G5M6 Lesson 19 LINE GRAPH PRACTICE SHEET CONCEPT EXPLORATION TEMPLATE 167

ZEARN MATH Student Edition G5M6 Lesson 20 Lesson 20 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 20 Exit Ticket 1 Read the following information about the line graph below Then answer the questions Harry runs a hot dog stand at the county fair When he arrived on Wednesday he had 38 dozen hot dogs for his stand The graph shows the number of hot dogs in dozens that remained unsold at the end of each day of sales a How many dozen hot dogs did Harry sell on Wednesday How do you know 169

ZEARN MATH Student Edition G5M6 Lesson 20 b Between which two day period did the number of hot dogs sold change the most Explain how you determined your answer c During which three days did Harry sell the most hot dogs d How many dozen hot dogs were sold on these three days 170

ZEARN MATH Student Edition G5M6 Lesson 20 PROBLEM SET Name Date 1 The line graph below tracks the total tomato production for one tomato plant The total tomato production is plotted at the end of each of 8 weeks Use the information in the graph to answer the questions that follow a How many pounds of tomatoes did this plant produce at the end of 13 weeks b How many pounds of tomatoes did this plant produce from Week 7 to Week 11 Explain how you know 171

ZEARN MATH Student Edition G5M6 Lesson 20 c Which one week period showed the greatest change in tomato production The least Explain how you know d During Weeks 6 8 Jason fed the tomato plant just water During Weeks 8 10 he used a mixture of water and Fertilizer A and in Weeks 10 13 he used water and Fertilizer B on the tomato plant Compare the tomato production for these periods of time 2 Use the story context below to sketch a line graph Then answer the questions that follow The number of fifth grade students attending Magnolia School has changed over time The school opened in 2006 with 156 students in the fifth grade The student population grew the same amount each year before reaching its largest class of 210 students in 2008 The following year Magnolia lost one seventh of its fifth graders In 2010 the enrollment dropped to 154 students and remained constant in 2011 For the next two years the enrollment grew by 7 students each year 172

ZEARN MATH Student Edition G5M6 Lesson 20 a How many more fifth grade students attended Magnolia in 2009 than in 2013 b Between which two consecutive years was there the greatest change in student population c If the fifth grade population continues to grow in the same pattern as in 2012 and 2013 in what year will the number of students match 2008 s enrollment 173

ZEARN MATH Student Edition G5M6 Lesson 26 Lesson 26 Word Problem The market sells watermelons for 0 39 per pound and apples for 0 43 per pound Write an expression that shows how much Carmen spends for a watermelon that weighs 11 5 pounds and a bag of apples that weighs 3 2 pounds 175

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 26 Date ____________ GRADE 5 MISSION 6 Lesson 26 Reflection How did the games we played today prepare you to practice writing solving and comparing expressions Why do you think these are important skills to work on Will you teach someone at home how to play these games with you What math skills will you need to teach in order for someone at home to be able to play with you 176

ZEARN MATH Student Edition G5M6 Lesson 26 COMPARING EXPRESSIONS GAME BOARD CONCEPT EXPLORATION TEMPLATE 2 177

ZEARN MATH Student Edition G5M6 Lesson 27 Lesson 27 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 27 Reflection How did teaching other students how to solve a word problem strengthen your skills as a problem solver What did you learn about your problem solving skills What are your strengths and weaknesses as a problem solver 179

ZEARN MATH Student Edition G5M6 Lesson 28 Lesson 28 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 28 Reflection What math skills have you improved through our Fluency Practice How do you know you ve improved What math skills do you need to continue to practice Why 181

ZEARN MATH Student Edition G5M6 Lesson 28 PROBLEM SET Name Date 1 Answer the following questions about fluency a What does being fluent with a math skill mean to you b Why is fluency with certain math skills important c With which math skills do you think you should be fluent d With which math skills do you feel most fluent Least fluent e How can you continue to improve your fluency 183

ZEARN MATH Student Edition G5M6 Lesson 28 2 Use the chart below to list skills from today s activities with which you are fluent Fluent Skills 3 Use the chart below to list skills we practiced today with which you are less fluent Skills to Practice More 184

ZEARN MATH Student Edition G5M6 Lesson 29 Lesson 29 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 29 Reflection It is said that the true measure of knowing something is being able to teach it to someone else Who can you teach these terms to How will you teach these terms to your student 185

ZEARN MATH Student Edition G5M6 Lesson 30 Lesson 30 Name _________________________________ Date ____________ GRADE 5 MISSION 6 Lesson 30 Reflection Playing math games can be a fun way to practice math skills How will you use the games to retain these terms Who will play with you How can you change the games to play alone How often will you play games 187

ZEARN MATH Student Edition G5M6 Lesson 31 Lesson 31 Word Problem You will need a protractor and a ruler for this problem 3 inches long centered near the bottom of the page Step 1 Draw AB 3 inches long such that BAC measures 108 Step 2 Draw AC 3 inches long such that ACD measures 108 Step 3 Draw CD 3 inches long such that CDE measures 108 Step 4 Draw DE Step 5 Draw EB Step 6 Measure EB What is the length of EB What shape have you drawn 189

ZEARN MATH Student Edition G5M6 Lesson 31 PROBLEM SET Name 190 Date

ZEARN MATH Student Edition G5M6 Lesson 32 Lesson 32 Word Problem Look at the Fibonacci sequence you just wrote Analyze which numbers are even Is there a pattern to the even numbers Why Think about the spiral of squares that you made yesterday 191

ZEARN MATH Student Edition Name _________________________________ G5M6 Lesson 32 Date ____________ GRADE 5 MISSION 6 Lesson 32 Reflection Today we watched how savings can grow over time but we did not discuss how the money saved was earned Have you ever thought about how math skills might help you to earn money If so what are some jobs that might require strong math skills If not think about it now How might you make a living using math skills 192

ZEARN MATH Student Edition G5M6 Lesson 32 PROBLEM SET Name Date 1 Ashley decides to save money but she wants to build it up over a year She starts with 1 00 and adds 1 more dollar each week Complete the table to show how much she will have saved after a year Week Add Total Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 00 2 00 3 00 4 00 1 00 3 00 6 00 10 00 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 Add Total 193

ZEARN MATH Student Edition G5M6 Lesson 32 2 Carly wants to save money too but she has to start with the smaller denomination of quarters Complete the second chart to show how much she will have saved by the end of the year if she adds a quarter more each week Try it yourself if you can and want to 194 Week Add Total Week 1 0 25 0 25 27 2 0 50 0 75 28 3 0 75 1 50 29 4 1 00 2 50 30 5 31 6 32 7 33 8 34 9 35 10 36 11 37 12 38 13 39 14 40 15 41 16 42 17 43 18 44 19 45 20 46 21 47 22 48 23 49 24 50 25 51 26 52 Add Total

ZEARN MATH Student Edition G5M6 Lesson 32 3 David decides he wants to save even more money than Ashley did He does so by adding the next Fibonacci number instead of adding 1 00 each week Use your calculator to fill in the chart and find out how much money he will have saved by the end of the year Is this realistic for most people Explain your answer Week Add Total Week 1 1 1 27 2 1 2 28 3 2 4 29 4 3 7 30 5 5 12 31 6 8 20 32 7 33 8 34 9 35 10 36 11 37 12 38 13 39 14 40 15 41 16 42 17 43 18 44 19 45 20 46 21 47 22 48 23 49 24 50 25 51 26 52 Add Total 195

ZEARN MATH Student Edition G5M6 Lesson 33 Lesson 33 PROBLEM SET Name Date Record the dimensions of your boxes and lid below Explain your reasoning for the dimensions you chose for Box 2 and the lid BOX 1 Can hold Box 2 inside The dimensions of Box 1 are Its volume is BOX 2 Fits inside of Box 1 The dimensions of Box 2 are Reasoning LID Fits snugly over Box 1 to protect the contents The dimensions of the lid are Reasoning 197

ZEARN MATH Student Edition G5M6 Lesson 33 1 What steps did you take to determine the dimensions of the lid 2 Find the volume of Box 2 Then find the difference in the volumes of Boxes 1 and 2 3 Imagine Box 3 is created such that each dimension is 1 cm less than that of Box 2 What would the volume of Box 3 be 198

ZEARN MATH Student Edition G5M6 Lesson 34 Lesson 34 Word Problem Steven is a 5 who had 280 He spent __ 41 of his money on a and __ 6 of the remainder on a How much money did he spend altogether 199

ZEARN MATH Student Edition G5M6 Lesson 34 PROBLEM SET Name I reviewed Date s work Use the chart below to evaluate your friend s two boxes and lid Measure and record the dimensions and calculate the box volumes Then assess suitability and suggest improvements in the adjacent columns Dimensions and Volume BOX 1 dimensions Total volume BOX 2 dimensions Total volume LID dimensions 200 Is the Box or Lid Suitable Explain Suggestions for Improvement

zearn org NAME Student Edition Grade 5 Vol 1 Place Value with Decimal Fractions Mission 2 Base Ten Operations Mission 3 Add and Subtract Fractions Mission 4 Multiply and Divide Fractions and Decimals Vol 2 Student Edition Mission 1 Mission 5 Volume Area and Shapes Mission 6 The Coordinate Plane G5 Vol 2 Zearnmath_SE_Grade5_Vol2 indd 1 Grade 5 Volume 2 MISSIONS 1 2 3 4 5 6 12 14 22 1 48 PM