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Work with a small group. Materials  set of attribute blocks  Attribute Rule Cards (Math Masters,p. 109)  1 six-sided die Directions 1. Label one sheet of paper: These fit the rule. 2. Label another sheet of paper: These do NOT fit the rule. 3. Take turns. Roll the die once. The person with the lowest number is the first “Rule Maker.” 4. The Rule Maker mixes the Attribute Rule Cards and then stacks them facedown. 5. The Rule Maker picks up the top Attribute Rule Card but does not show it to the other group members or tell them what the rule is. LESSON 5 1 Name Date Time “What’s My Attribute Rule?” Copyright © Wright Group/McGraw-Hill 120 large shapes, but not triangles Sample Attribute Rule Card

6. The Rule Maker chooses 3 or 4 attribute blocks that fit the rule on the card. The Rule Maker puts them on the sheet labeled “These fit the rule.” 7. The Rule Maker chooses 3 or 4 blocks that do NOT fit the rule. The Rule Maker puts them on the sheet labeled “These do NOT fit the rule.” 8. The other group members are the “Guessers.” The Guessers take turns. Each one chooses a block that he or she thinks might fit the rule. 9. The Rule Maker tells each Guesser “yes” or “no.” The Guesser puts the block on the correct sheet. The Guesser suggests what the rule might be. The Rule Maker tells the Guesser if his or her rule is correct. 10. The Guessers continue until someone figures out the rule. Then that person becomes the Rule Maker for the next round. LESSON 5 1 Name Date Time “What’s My Attribute Rule?” continued 121 Copyright © Wright Group/McGraw-Hill These fit the rule. These do NOT fit the rule.

Work with a partner. Materials  quarter-sheets of paper  plain paper  1 six-sided die or number cube  centimeter cubes, pennies, or dried beans Directions 1. Think of the quarter-sheets of paper as “nests.” Think of the cubes, pennies, or beans as “eggs.” 2. Choose a number between 8 and 32. Then count out that many eggs. 3. Roll the die once. The number that lands faceup tells how many nests (quarter-sheets) to lay out. 4. Work together to share the eggs equally among all the nests. When you finish, count the eggs in each nest. Make sure each nest has the same number of eggs. 5. Make a record of your work on the sheet of plain paper.  Show the number of eggs you started with.  Show the nests and the eggs in each nest.  Show any eggs that were left over. 6. Choose a different number of eggs. Then follow Steps 1–5 again. LESSON 5 1 Name Date Time Sharing Equally Copyright © Wright Group/McGraw-Hill 122

Materials  10 index cards  clock-face stamp  stamp pad  envelope  scissors Directions Make a set of Clock Concentration cards. 1. Fold each index card in half. Then unfold it. 2. Stamp a clock face on one half of the card. Then draw an hour hand and a minute hand on the face to show a time. 3. Write the matching digital time on the other half. Check one another’s work. 4. Cut the card in half. 5. Write Con the back of each card with a clock face. 6. Write Ton the back of each card with a time. 7. Choose a mark your group will use to identify your cards. Make that mark in the same corner on the back of every card. LESSON 5 1 Name Date Time Making Clock Concentration Cards 123 Copyright © Wright Group/McGraw-Hill 12 1 2 3 4 5 6 7 8 91011 T xx C xx

Materials  1 set of Clock Concentration Cards Directions 1. Shuffle the cards and place them facedown in an array. 2. Take turns. For each turn, turn a Ccard and a Tcard faceup. If the cards match, pick up both cards and take another turn. 3. If the cards do not match, put them back in the array facedown. Then the next person takes a turn. 4. Continue until time is up or until all the cards have been matched. 5. Store your group’s cards in an envelope. LESSON 5 1 Name Date Time Clock Concentration continued Copyright © Wright Group/McGraw-Hill 124 Cxx Txx Cxx Cxx Txx Txx Txx Cxx Cxx Txx Cxx Txx Cxx Cxx Txx Txx Txx Cxx Cxx Txx

LESSON 5 1 Name Date Time Clock Concentration Cards 125 Copyright © Wright Group/McGraw-Hill 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011

126 Name Date Time Your child has been classifying shapes according to such rules as only large shapes, only small red shapes,oronly triangles.Help your child determine which shapes in Problem 1 fit the rule by checking those shapes against the shapes below. What do all the shapes that fit the rule have in common? (They all have 4 sides.) Once your child thinks she or he knows the rule, check that rule against the shapes that do NOT fit the rule. Do any of those shapes follow the proposed rule? Please return this Home Link to school tomorrow. Family Note These shapes fit the rule. These shapes do NOT fit the rule. 1. Which of these shapes fit the rule? Circle them. 2. What is the rule? 3. Draw a new shape that fits the rule. 4. 46  20  5. 74  30  6. 27  31  Copyright © Wright Group/McGraw-Hill HOME LINK 5 1 “What’s My Attribute Rule?” Practice

127 Name Date Time In this lesson, your child learned to name points and line segments with capital letters. Using a straightedge, your child drew line segments to create shapes. Provide your child with a ruler, a piece of stiff cardboard, or another object having a straight edge. Observe as your child draws line segments. Ask your child to name the shapes that he or she draws in Problems 1 and 2 below (a 6-pointed star and a hexagon). Please return this Home Link to school tomorrow. Family Note Copyright © Wright Group/McGraw-Hill HOME LINK 5 2 Line Segments 1. Draw these line segments: 2. Draw these line segments: 3. Draw the following line segments: How many triangles are there? 4. Draw points on the back of this page. Label each point with a letter. Use a straightedge to connect the points with line segments to make polygons. Practice 5. 23 20 6. 14 30 7. 45 30 FA EF DE CD BC A BA BF E D C DF BD BF EA CE A CA BF E D C BE AD, EF, CD, AB, FC FA DE BCB AC D E F Use a straightedge to draw line segments. 50

LESSON 5 2 Name Date Time Geoboard Designs Copyright © Wright Group/McGraw-Hill 128 1. Use 3 rubber bands to make a design. Record your design. 3. Use 8 rubber bands to make a design. Record your design. 2. Use 6 rubber bands to make a design. Record your design. 4. Make up your own. I used rubber bands to make a design. Record your design.

Use a straightedge and a crayon. Connect the dots below according to the following pattern: A→B→C→D→E→F→A What shape did you make with line segments? Use a different color. Connect the dots again in a different way. Follow this pattern: A→C→E→A What shape did you make with line segments? Use a different color. Connect the dots one more time. Follow this pattern: B→D→F→B What shapes do you see in your design? Color your design. LESSON 5 2 Name Date Time A Line Segment Design 129 Copyright © Wright Group/McGraw-Hill A D FB EC

130 Name Date Time Parallel line segments are always the same distance apart. They would never meet, even if they were extended forever in either or both directions. In Problem 1, line segment DCis parallel to line segment AB,and line segment ADis parallel to line segment BC.There are no parallel line segments in Problem 2. Please return the top partof this Home Link to school tomorrow. Family Note 1. Draw line segments AB, BC, CD,and DA. Put a red Xon the line segment that is parallel to line segment AB. Put a blue Xon the line segment that is parallel to line segment BC. 2. Draw line segments AB, BC,and CA. Is any line segment in your drawing parallel to line segment AB? Copyright © Wright Group/McGraw-Hill Copyright © Wright Group/McGraw-Hill HOME LINK 5 3 Parallel Line Segments Shapes Museum For the next few days, your class will collect things to put into a Shapes Museum. Starting tomorrow, bring items like boxes, soup cans, party hats, pyramids, and balls to school. Ask an adult for permission before bringing in these items. Make sure that the things you bring are clean. AB C D A B C In Lesson 5-6, your child will be studying 3-dimensional shapes. Help your child gather 3-dimensional objects for a class collection that we call the “Shapes Museum.” You and your child might want to separate the objects you collect according to shape. Special Family Note 51

Draw the line segments. Use a straightedge. A→BB→CC→JJ→AA→II→JC→D D→EE→FF→NN→MM→GF→GG→H H→IK→LO→PP→QQ→RR→OJ→E LESSON 5 3 Name Date Time Drawing Line Segments 131 Copyright © Wright Group/McGraw-Hill A J OP N MB C I D ERQ F G HKL

1. Use 2 pattern blocks together to make a shape that has exactly two pairs of parallel line segments. Use your Pattern-Block Template to record your solution at the right. 2. Use 2 pattern blocks together to make a shape that has exactly one pair of parallel line segments. Use your Pattern-Block Template to record your solution at the right. 3. Use 2 pattern blocks together to make a shape that has no parallel line segments. Use your Pattern-Block Template to record your solution at the right. If you have time, try to solve each problem using 3 pattern blocks. LESSON 5 3 Name Date Time Parallel Line Segment Puzzles Copyright © Wright Group/McGraw-Hill 132 Try This

LESSON 5 4 Name Date Time Geoboard Polygons 133 Copyright © Wright Group/McGraw-Hill Work in a small group. Materials  geoboard  rubber bands  straightedge DirectionsEach person uses the square side of a geoboard to make the following polygons. Copy each polygon below. 1. Make a triangle in which each side touches exactly 3 pins. 3. Make a pentagon that touches at least 5 pins. 2. Make a square in which each side touches exactly 4 pins. 4. Make a hexagon whose sides touch exactly 6 pins in all. 5. Compare your polygons with those of others in your group. Talk about how they are alike and how they are different.

Work with a partner or a small group. Materials  centimeter grid paper from Math Masters,p. 434  2 six-sided dice  about 40 centimeter cubes Directions Follow these steps to build arrays with centimeter cubes: 1. Pick one member of your group to roll the dice. 2. Use the number that is faceup on one die for the number of rows in the array. Use the number that is faceup on the other die for the number of cubes in each row. Example:If you roll this: You can make either array: 3. Work together. Use centimeter cubes to build the array. 4. On grid paper, fill in squares to show your array. Underneath the array, write  how many rows are in the array  how many cubes are in each row  how many cubes there are in all 5. Take turns rolling the dice. Together, make at least five different arrays. Record each array on grid paper. LESSON 5 4 Name Date Time Cube Arrays Copyright © Wright Group/McGraw-Hill 134 5 rows 3 cubes in each row 15 cubes in all

135 Copyright © Wright Group/McGraw-Hill Work with a small group. Materials  attribute blocks  sheet of paper  red, yellow, and blue crayons or pencils Directions Solve each problem. On a separate sheet of paper, trace and color the blocks to show your answers. 1. Find 2 blocks that are NOT the same size, NOT the same shape, and NOT the same color. 2. Find 2 blocks that have the same shape, but are NOT the same size and NOT the same color. 3. Find 3 blocks that are the same size and the same color, but are NOT the same shape. 4. Find 4 small blocks that are the same color, but are NOT the same shape. LESSON 5 4 Name Date Time Attributes

136 Name Date Time In this lesson, your child has been learning the names of different polygons. A polygon is a closed figure made up of straight sides, and you can trace and come back to where you started without retracing or crossing any part. Different types of polygons are shown below. Examples of polygons can be found in real-life objects. For example, a stop sign is an octagon and this page is a rectangle. As your child cuts out pictures of polygons, discuss each shape. Count the sides and angles and try to name the polygons. Talk about how the polygons are alike and different. Please return this Home Link to school tomorrow or as requested by the teacher. Family Note 1. Cut out pictures from newspapers and magazines that show triangles, quadrangles, and other polygons. Ask an adult for permission first. 2. Paste each picture on a sheet of paper. 3. Write the names of some of the polygons under the pictures. 4. Bring your pictures to school. Triangles Quadrangles or Quadrilaterals Pentagons Hexagons Heptagons Octagons These are NOT polygons. Copyright © Wright Group/McGraw-Hill HOME LINK 5 4 Polygons 52–55

LESSON 5 4 Name Date Time Pattern-Block Template Shapes 137 Copyright © Wright Group/McGraw-Hill square large triangle small hexagon trapezoid small triangle wide rhombus large circle narrow rhombuslarge hexagon 1. Use your template to draw each shape.

LESSON 5 4 Name Date Time Pattern-Block Template Shapes cont. Copyright © Wright Group/McGraw-Hill 138 2. Draw the shapes that have exactly 4 sides and 4 corners. Write their names.

LESSON 5 5 Name Date Time Make Shapes 139 Copyright © Wright Group/McGraw-Hill 1. Cut out the triangles and rectangles. 2. Make some of the shapes listed below. Use at least 2 triangles or rectangles to make each new shape. You may have to turn some of the pieces over. 3. Paste the shapes on sheets of paper. 4. Write the names of the shapes. Shapes to Make square rectangle triangle rhombus kite trapezoid parallelogram 4-pointed star any shape you choose

LESSON 5 5 Name Date Time Make Shapes continued Copyright © Wright Group/McGraw-Hill 140

141 Name Date Time In this lesson, your child has been learning about different types of quadrangles, or polygons that have 4 sides. Quadrangles are also called quadrilaterals.In Problems 1 and 2 below, three shapes have a common attribute that the fourth shape does not have. In Problem 1, the square is different, because it is the only quadrangle with 4 square corners. In Problem 2, the rectangle is different, because it is the only quadrangle that doesn’t have 4 equal sides. Please return this Home Link to school tomorrow. Family Note Copyright © Wright Group/McGraw-Hill 2. Look at the lengths of the sides. Which quadrangle is different from the otherthree? HOME LINK 5 5 Quadrangles 3. 6  3  4. 5  9  5. 6 3  6. 8 5  7. 24 4  8. 56 50  9. 35  62  10. 25  66  Practice 55 1. Look at the number of square corners. Which quadrangle is different from the other three? trapezoid rhombusrhombus square square rhombus rhombus rectangle

LESSON 5 5 Name Date Time Tangram Puzzle Copyright © Wright Group/McGraw-Hill 142

143 Name Date Time In this lesson, children have identified and compared 3-dimensional shapes. Our class also has created a Shapes Museum using the objects that children brought to school. Read your child’s list of shapes. Together, find shapes to complete the list. Please return this Home Link to school tomorrow. Family Note Copyright © Wright Group/McGraw-Hill HOME LINK 5 6 3-D Shapes On your way home, look for things that have these five shapes. Make a list of things you see. Show your list to someone at home. Can you find any more shapes in your home? Add them to your list. Prisms Pyramids Cylinders Prisms Pyramids Cylinder Cone Cones Spheres Sphere Practice 1. 10  8  2. 20  7  3. 42  20  4. 66  30  56 57

LESSON 5 7 Name Date Time Pyramid Base Cards Copyright © Wright Group/McGraw-Hill 144 Use straws and twist-ties to build a triangular pyramid. Use short straws for the base. Use long straws for the other edges. The base of a triangular pyramid is a triangle: Use straws and twist-ties to build a pentagonal pyramid. Use short straws for the base. Use long straws for the other edges. The base of a pentagonal pyramid is a pentagon:Use straws and twist-ties to build arectangular pyramid. Use 2 short straws and 2 long straws for the base. Use long straws for the other edges. The base of a rectangular pyramid is a rectangle: Use straws and twist-ties to build a hexagonal pyramid. Use short straws for the base. Use long straws for the other edges. The base of a hexagonal pyramid is a hexagon:

145 Name Date Time Your child has used straws and twist-ties to construct pyramids with different-shape bases. The basecan be a triangle, a rectangle, a pentagon, or another shape. Help your child construct a triangular pyramid (a pyramid with a triangle as the base) by using the cutout pattern below. After constructing the pyramid, ask your child the following questions: What is the shape of the base? (A triangle) How many edges does the pyramid have? (6) How many faces does the pyramid have? (4) How many vertices does the pyramid have? (4) Please return this Home Link to school tomorrow. Family Note Copyright © Wright Group/McGraw-Hill HOME LINK 5 7 Make a Triangular Pyramid edge face vertex Ask someone at home to help you make a triangular pyramid out of this pattern. 1. Cut on the dashed lines. 2. Fold on the dotted lines. 3. Tape or glue tabs “inside” or “outside.” TAB TAB TAB

LESSON 57 Name Date Time Make a Square Pyramid Copyright © Wright Group/McGraw-Hill 146 Materials  scissors  glue or tape Directions 1. Cut on the dashed lines. 2. Fold on the dotted lines. 3. Tape or glue tabs “inside” or “outside.” TAB TAB TAB TAB

LESSON 5 7 Name Date Time Some Polygons 147 Copyright © Wright Group/McGraw-Hill Triangles Quadrangles (Quadrilaterals) Other Polygons rhombus trapezoid kite rectangle square pentagonhexagon heptagonoctagon

LESSON 5 7 Name Date Time Reviewing Polygons Copyright © Wright Group/McGraw-Hill 148 Use straws and twist-ties to make the following polygons. Draw the polygons. Record the number of sides and corners for each polygon. 1. Make a square. Number of sides Number of corners 2. Make a triangle. Number of sides Number of corners 3. Make a hexagon. Number of sides Number of corners 4. Make a polygon of your choice. Write its name. Number of sides Number of corners 5. Make another polygon. Write its name. Number of sides Number of corners

LESSON 5 8 Name Date Time What’s Missing? 149 Copyright © Wright Group/McGraw-Hill

Cut out each shape. Find all the lines of symmetry for each shape by folding it in half. LESSON 5 8 Name Date Time Lines of Symmetry Copyright © Wright Group/McGraw-Hill 150

151 Name Date Time In this lesson, your child has been determining whether shapes are symmetrical. A shape has symmetryif it has two halves that look alike but face in opposite directions. A line of symmetrydivides the shape into two matching parts. Lines of symmetry are shown in the objects below. Help your child find other objects that are symmetrical. Remember that some shapes, such as the mirror below, may be symmetrical in more than one way. Please return this Home Link to school tomorrow. Family Note Copyright © Wright Group/McGraw-Hill HOME LINK 5 8 Symmetry Hunt 1. Ask someone to help you make a list of things at home that have symmetry. For example, you might list a window, a sofa, or a mirror. My list: 2. Draw a picture of one thing on your list. Draw as many lines of symmetry as you can. 3. If you find pictures in books or magazines that show symmetry, bring them to school. Practice 4. 4  8  5. 6  9  6. 8  8  7. 8 5  8. 9 4  9. 7 4  60

152 Name Date Time Copyright © Wright Group/McGraw-Hill HOME LINK 5 9Unit 6: Family Letter Whole-Number Operations and Number Stories In Unit 6, children will take another look at the addition and subtraction diagrams that were introduced in Unit 4. Later in this unit, children will strengthen their understanding of multiplication and division as they act out number stories using manipulatives and arrays, complete diagrams to show the relationships in multiplication problems, and then begin to record corresponding number models. Start EndChange 9? 3 Total Par t Par t 50 18? Quantity Quantity Difference 20 ? above:addition and subtraction diagrams left:A child uses an array to solve the following problem: A sheet of stamps has 6 rows. Each row has 3 stamps. How many stamps are on a sheet? below:multiplication diagram Please keep this Family Letter for reference as your child works through Unit 6. boxes marbles marbles per box in all 37? 35

153 HOME LINK 59 Vocabulary Important terms in Unit 6: Copyright © Wright Group/McGraw-Hill comparison number story A number story that involves the difference between two quantities. For example: Ross sold 12 cookies. Anthony sold 5 cookies. How many more cookies did Ross sell? comparison diagram A diagram used to organize the information from a comparison number story. For example, the diagram below organizes the information from Anthony’s cookie story above. rectangular array An arrangement of objects into rows and columns. For example, 20 pencils could be arranged in 4 rows of 5 pencils each. multiples of a number The product of the number and a counting number. For example, multiples of 2 are 2, 4, 6, 8, and 10 because 2 1 2, 2 2 4, 2 3 6, and so on. remainder The amount left over when one number is divided by another number. For example, if 20 pencils are shared equally by 6 people, each person gets 3 pencils, and 2 are left over. The remainder is 2. UNIT 1 Unit 6: Family Letter cont. HOME LINK 59 Quantity Quantity Difference 12 5?

154 Copyright © Wright Group/McGraw-Hill Do-Anytime Activities To work with your child on the concepts taught in this unit and in previous units, try these interesting and rewarding activities: 1.Have your child show you how making an array or making equal groups can help solve multiplication number stories. Use common objects, such as buttons or pennies, to act out the stories. 2.Also try the opposite: Draw or make arrays and multiples of equal groups. Have your child make up and solve number stories to go with them. 3.Discuss equal-sharing (division) stories. For example, use objects (such as pennies) to portray a situation like the following: We have 7 cookies to divide equally among 3 people. How many whole cookies will each person get? (2) How many cookies will be left over? (1) Building Skills through Games In Unit 6, your child will practice addition, subtraction, and multiplication skills by playing the following games: Three Addends Players draw three cards, write addition models of the numbers they’ve picked, and solve the problems. Addition Top-It Each player turns over two cards and calls out their sum. The player with the higher sum then takes all the cards from that round. Array Bingo Players roll the dice and find an Array Bingocard with the same number of dots. Players then turn that card over. The first player to have a row, column, or diagonal of facedown cards calls out “Bingo!” and wins the game. Number-Grid Difference Game Players subtract 2-digit numbers using the number grid. Fact Extension Game Players find sums of 2-digit numbers and multiples of ten. Unit 6: Family Letter cont. HOME LINK 59

155 Copyright © Wright Group/McGraw-Hill As You Help Your Child with Homework As your child brings home assignments, you may want to go over the instructions together, clarifying them as necessary. The answers listed below will guide you through this unit’s Home Links. Home Link 6 1 Sample answers: 1.13  6  7  26 2.22  8  5  35 3.15  9  25  49 4.29  11  6  46 5.696.707.62 8.839.14810.190 Home Link 6 2 1. $19; 29 10  19 2.15 fewer laps; 20  15  35 3.June 22; 10  12  22 4.905.406.80 11157 Home Link 6 3 1. 2.grapes; pear Home Link 6 4 1. 30 2. 28 3.20 Home Link 6 5 1.58; 41 cubes left; 58 17  41 2.26; 8 cubes left; 26 18  8 3.43; 18 cubes left; 43 25  18 4.39; 7 cubes left; 39 32  7 5.61; 14 cubes left; 61 47  14 Home Link 6 6 1.4 rows; 5 Xs in each row; 20 Home Link 6 7 1.3; 182.2; 83.10; 80 Home Link 6 8 1.24 2.35 Home Link 6 9 1. Total 21; 7 3 21 2. Total 60; 6 10 60 3. 5 rows; 6 dots in each row; 30 4. 3 rows; 9 squares per row; 27 5. 6 rows; 6 squares in each row; 36 Home Link 6 10 3. by 2 people: 9¢ per person; 1¢ remaining by 3 people: 6¢ per person; 1¢ remaining by 4 people: 4¢ per person; 3¢ remaining 87 55 101 apple watermelon bananapeargrapes Favorite Fruits Fruit Number of People 10 5 0 HOME LINK 59 UNIT 1 Unit 6: Family Letter cont. HOME LINK 59