[PDF] Unit 10 Reflections and Symmetry.pdf | Plain Text

LESSON 10 1 Name Date Time Buzz .... 304 Copyright © Wright Group/McGraw-Hill Beetrice, the bee, wants to gather pollen from each flower and then return to her hive. Use your transparent mirror to help Beetrice fly around. 106

LESSON 10 1 Name Date Time Build a Clown 305 Copyright © Wright Group/McGraw-Hill Use a transparent mirror to put a hat on the clown’s head. When the hat is where you want it, draw the hat. Do the same thing with the other missing parts to complete the clown picture. Then color the picture and cut it out. 106

STUDY LINK 10 1 A Reflected Image Copyright © Wright Group/McGraw-Hill 306 106 Name Date Time There is a simple design in the box in the middle of this page. It is the preimage. Hold this page in front of a mirror, with the printed side facing the mirror. On a blank piece of paper, sketch what the design looks like in the mirror—the image. Compare your sketch (image) with the design on the Study Link page (preimage). Bring both the preimage and image to school tomorrow. mirror back of Study Link Sketch the design as it looks in the mirror. 1. 10% of 130  2. 25% of 32 3. 15% of 120 4. 70% of 490  Practice

STUDY LINK 10 2 Lines of Reflection 307 Name Date Time Copyright © Wright Group/McGraw-Hill For each preimage and image, draw the line of reflection. 1. 2. 3. For each preimage, use your Geometry Template to draw the image on the other side of the line of reflection. 4. 5. 6. 7. Create one of your own. preimage preimage preimage preimage image preimage preimage image preimage image 106

C B ADE LESSON 10 2 Name Date Time Paper-Folding Puzzles 308 Copyright © Wright Group/McGraw-Hill For each design, circle the pieces that could be unfolded to match it. For some problems, there is more than one correct answer. The dashed lines represent folds. The pieces in Problems 3 and 4 have been folded two times. 1. 2. 3. 4. B A C E D B E A C D E D C B A C D E B A Try This Match the folded piece to the correct unfolded design. Circle it. 5.

LESSON 10 3 Name Date Time Reflections 309 Copyright © Wright Group/McGraw-Hill 1. Use a transparent mirror to draw the reflected image of the head of the dog. preimageimage line of reflection 2. On the back of this page, describe how the two drawings in Problem 1 are alike and how they are different. 3. Draw a picture on the left side of the line. Ask your partner to use a transparent mirror to draw the reflected image of your picture. preimage image line of reflection 106

STUDY LINK 10 3 Reflections Copyright © Wright Group/McGraw-Hill 310 106 Name Date Time Shade squares to create the reflected image of each preimage. preimage image line of reflection image preimage line of reflection preimage image line of reflection image preimage line of reflection 1. 2. 3. 4. 5. 54 º 6  6. 29 º 36  7. 45 º 45 8. 837 º 63 Practice

LESSON 10 4 Name Date Time Half-Pictures 311 Copyright © Wright Group/McGraw-Hill 109

LESSON 10 4 Name Date Time Symmetric Pictures 312 Copyright © Wright Group/McGraw-Hill 109

LESSON 10 4 Name Date Time Polygons A–E 313 Copyright © Wright Group/McGraw-Hill E C A D B 109

LESSON 10 4 Name Date Time Polygons F– J 314 Copyright © Wright Group/McGraw-Hill J F I G H 109

STUDY LINK 10 4 Line Symmetry in the Alphabet 315 109 Name Date Time Copyright © Wright Group/McGraw-Hill 1. Print the 26 capital letters of the alphabet below. 2. The capital letter A has a vertical line of symmetry. The capital letter B has a horizontal line of symmetry. Use the letters of the alphabet to complete the Venn diagram. 3. The word BED has a horizontal line of symmetry. The word HIT has a vertical line of symmetry. Use capital letters to list words that have horizontal or vertical line symmetry. horizontal vertical Capital Letters of the Alphabet Vertical Line of SymmetryHorizontal Line of Symmetry 4. 86 9  5. 68 / 4 6. 67 42  7. 855 / 7 Practice

LESSON 10 4 Name Date Time 316 Copyright © Wright Group/McGraw-Hill Copyright © Wright Group/McGraw-Hill Interpreting a Cartoon LESSON 10 4 Name Date Time Interpreting a Cartoon 1. What answer does Ruthie’s brother expect? 2. Explain and draw pictures to show why both of Ruthie’s answers are correct. 1. What answer does Ruthie’s brother expect? 2. Explain and draw pictures to show why both of Ruthie’s answers are correct.

LESSON 10 4 Name Date Time Line Symmetry 317 Copyright © Wright Group/McGraw-Hill Use pattern blocks to create shapes with the given number of lines of symmetry. Use your Geometry Template to record the shapes and draw the lines of symmetry. 1. 1 yellow hexagon, 2 orange squares 2. 1 orange square, 4 green triangles 2 lines of symmetry 0 lines of symmetry 3. 2 red trapezoids 4. 5 orange squares 6 lines of symmetry 1 line of symmetry 5. 5 red trapezoids 1 line of symmetry Show two different ways. 6. On the back of this page, make up a problem of your own. Give it to a partner to solve. Try This 109

STUDY LINK 10 5 Geometric Patterns Copyright © Wright Group/McGraw-Hill 318 106 – 108 Name Date Time 1. Continue each pattern. Then tell if you continued the pattern by using a reflection, rotation, or translation of the original design. a. b. c. 2. Make up your own pattern. 3. 50% of $25.00  4. 25% of $10.00  5. 40% of $150.00 6. 20% of $250.00 Practice

LESSON 10 5 Name Date Time Making Frieze Patterns 319 Copyright © Wright Group/McGraw-Hill 1. Use an index card as a template for making frieze patterns. a. Trim your index card to make a 3-inch by 3-inch square. b. Draw a simple design in the middle of the square. c. Cut out your design. If you need to cut through the edge of the index card, then use tape to repair the cut. 2. Make a frieze pattern with your template. a. Draw a long line on a large sheet of paper. b. Put your template at the left end of the line. c. Trace the shape of the design you cut out. Make a mark on the line at the right edge of the template. d. Move your template to the right along the line. Line up the left side of the template with the mark you made on the line. e. Repeat Steps c and d. To make more complicated patterns, give your template a turn or a flip every time you move it. 108

320 Copyright © Wright Group/McGraw-Hill Copyright © Wright Group/McGraw-Hill LESSON 10 6 Name Date Time Positive and Negative Numbers Place your transparent mirror on the dashed line that passes through 0 on the number line above. Look through the mirror. What do you see? What negative number image do you see . . . above 1? above 2? above 8? –10 10 9 8 7 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 –7 –8 –9 0 Place your transparent mirror on the dashed line that passes through 0 on the number line above. Look through the mirror. What do you see? What negative number image do you see . . . above 1? above 2? above 8? –10 10 9 8 7 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 –7 –8 –9 0 LESSON 10 6 Name Date Time Positive and Negative Numbers 60 60

321 Copyright © Wright Group/McGraw-Hill LESSON 10 6 Name Date Time Ledger –10 10 9 8 7 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 –7 –8 –9 0 Transaction Start ChangeEnd/Start of Next Transaction

322 Copyright © Wright Group/McGraw-Hill STUDY LINK 10 6 Positive and Negative Numbers 60 Name Date Time Write or to make a true number sentence. 1. 3 14 2. 7 7 3. 19 20 4. 8 10 List the numbers in order from least to greatest. 5. 5, 8, 1 2,  1 4, 1.7, 3.4 least greatest 6. 43, 22, 1 74, 5, 3, 0 least greatest 7. Name four positive numbers less than 2. 8. Name four negative numbers greater than 3. Use the number line to help you solve Problems 9–11. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 10123456789101112131415 9. a. 4 9  b. 4 (9)  c. (4) (9)  10. a. 5 3  b. (5) 3  c. (5) (3)  11. a.  2 13 b. (2) 13 c. (2) (13) Practice 12. 1.02 12.88  13. 7.26 1.94  14. 5.84 8.75 15. 3.38 2.62

323 Copyright © Wright Group/McGraw-Hill STUDY LINK 10 7 Unit 11: Family Letter Name Date Time 3-D Shapes, Weight, Volume, and Capacity Our next unit introduces several new topics, as well as reviewing some of the work with geometric solids from previous grades and some of the main ideas your child has been studying this past year. We begin with a lesson on weight, focusing on grams and ounces. Students handle and weigh a variety of objects, trying to develop “weight sense” so that they can estimate weights effectively. The class participates in creating a Gram & Ounce Museum by displaying everyday objects labeled with their weights. As part of a review of the properties of 3-dimensional shapes (prisms, pyramids, cylinders, and cones), your child will construct models of geometric solids using straws and paper patterns. They will use these models as they discuss vocabulary such as face, edge,and vertexand compare features of geometric solids. By experimenting with cubes, the class will develop and apply a formula for finding the volumes of rectangular prisms (solids that look like boxes). We will consider familiar units of capacity (cups, pints, quarts, gallons) and the relationships among them. Your child will also explore subtraction of positive and negative numbers by playing a variation of the Credits/Debits Gameintroduced in Unit 10. 1 kg 1,000 g In Lesson 11-1, a pan balance is used to measure weight in grams. Please keep this Family Letter for reference as your child works through Unit 11.

Copyright © Wright Group/McGraw-Hill 324 capacity (1) The amount of space occupied by a 3-dimensional shape. Same as volume.(2) Less formally, the amount a container can hold. Capacity is often measured in units such as quarts, gallons, cups, or liters. (3) The maximum weighta scale can measure. cone A 3-dimensional shape that has a circular base, a curved surface,and one vertex, which is called the apex. The points on the curved surface of a cone are on straight lines connecting the apex and the circumference of the base. cubic unit A unit used in measuring volume,such as a cubic centimeter or a cubic foot. curved surface A 2-dimensional surface that is rounded rather than flat. Spheres, cylinders,and coneseach have one curved surface. cylinder A 3-dimensional shape that has two circular or elliptical bases that are parallel and congruent and are connected by a curved surface. A can is shaped like a cylinder. dimension A measure along one direction of an object, typically length, width, or height. For example, the dimensions of a box might be 24 cm by 20 cm by 10 cm. formula A general rule for finding the value of something. A formula is often written using letters, called variables, that stand for the quantities involved. geometric solid The surface or surfaces that make up a 3-dimensional shape, such as a prism, cylinder, cone,or sphere. Despite its name, a geometric solid is hollow; it does not contain the points in its interior. prism A 3-dimensional shape with two parallel and congruent polygonal regions for bases and lateral faces formed by all the line segments with endpoints on corresponding edges of the bases. The lateral faces are all parallelograms. pyramid A 3-dimensional shape with a polygonal region for a base, a point (apex) not in the plane of the base, and all of the line segments with one endpoint at the apex and the other on an edge of the base. All faces except the base are triangular. 3-dimensional (3-D) shape A shape whose points are not all in a single plane. Examples include prisms, pyramids,and spheres, all of which have length, width, and height. volume The amount of space occupied by a 3-dimensional shape. Same as capacity.The amount a container can hold. Volume is often measured in cubic units, such as cm 3, cubic inches, or cubic feet. weight A measure of the force of gravity on an object. Weight is measured in metric units such as grams, kilograms, and milligrams and in U.S. customary units such as pounds and ounces. triangular prism rectangular prism hexagonal prism hexagonal pyramid rectangular pyramid Vocabulary Important terms in Unit 11: Unit 11: Family Letter cont. STUDY LINK 10 7 base base apex apex

325 Copyright © Wright Group/McGraw-Hill Do-Anytime Activities To work with your child on the concepts taught in this unit, try these interesting and rewarding activities: 1.Have your child compile a list of the world’s heaviest objects or things. For example, which animal has the heaviest baby? What is the world’s heaviest human-made structure? What is the greatest amount of weight ever hoisted by a person? 2.Have your child compile a portfolio of 3-dimensional shapes. Images can be taken from newspapers, magazines, photographs, and so on. 3.Encourage your child to create his or her own mnemonics and/or sayings for converting between units of capacity and weight. One such example is the old English saying “A pint’s a pound the world around.” (1 pint 16 oz 1 lb) In Unit 11, your child will play the following games. For detailed instructions, see the Student Reference Book. Chances AreSeeStudent Reference Book, page 236. This game is for 2 players and requires one deck of Chances AreEvent Cards and one deck of Chances AreProbability Cards. The game develops skill in using probability terms to describe the likelihood of events. Credits/Debits GameSeeStudent Reference Book, page 238. This is a game for 2 players. Game materials include 1 complete deck of number cards and a recording sheet. The Credits/Debits Gamehelps students practice addition of positive and negative integers. Credits/Debits Game (Advanced Version)SeeStudent Reference Book, page 239. This game is similar to the Credits/Debits Gameand helps students practice addition and subtraction of positive and negative integers. Building Skills through Games Unit 11: Family Letter cont. STUDY LINK 10 7

Copyright © Wright Group/McGraw-Hill 326 As You Help Your Child with Homework As your child brings assignments home, you may want to go over the instructions together, clarifying them as necessary. The answers listed below will guide you through this unit’s Study Links. Study Link 11 1 1.592.96,640 3.Bagel and pumpkin; or taco and gingerbread man 4.Pasta, Chocolate bar, Hamburger, Ice cream sundae 6.$507.$758.$0 9.$30 Study Link 11 2 1.a.square pyramidb.cone c.sphered.cylinder e.rectangular prismf.triangular prism 2. 3.64.7,000; 63,560; and 91 5.24; 120; 600 Study Link 11 3 1.cone2.square pyramid 3.hexagonal prism4.octahedron 6.$107.$70 8.$159.$100 10.$5511.$400 Study Link 11 4 4.245.17 R1, or 17 1 5 6.297.89 R2, or 89 2 4 Study Link 11 5 1. a.39b.30 2. a.(33)654; 54 b.(25)9.797; 97 3. a.150b.150 4.495.406.297.73 Study Link 11 6 1.1102.83.8 4.155.146.19 7.708.18 11.12.13. 14.15.16. 17.14,2.5,0.7, 3 60, 5.6, 8 18.7, 2 64, 3 5, 0.02, 0.46, 4 19.2,65220.44,11421.158 22.106 R4, or 106 4 7 Study Link 11 7 Answers vary for Problems 1– 4. 5.46.487.2 8.39.310.10 11.412.413.40 14.120 Unit 11: Family Letter cont. STUDY LINK 10 7