Math Message The Geometry Template Answer the following questions about your Geometry Template. DO NOT count the protractors, Percent Circle, and little holes next to the rulers. 1. How many shapes are on the Geometry Template? 2. What fraction of these shapes are polygons? 3. What fraction of the shapes are quadrangles? Problems for the Geometry Template The problems on journal pages 93 and 95 are labeled Easy and Moderate. Each problem has been assigned a number of points according to its difficulty. Complete as many of these problems as you can. Your Geometry Template and a sharp pencil are the only tools you may use. Record and label your answers on the page opposite the problems. Some of the problems might seem confusing at first. Before asking your teacher for help, try the following: Look at the examples on the journal page. Do they help you understand what the problem is asking you to do? If you are not sure what a word means, look it up in the Glossary in your Student Reference Book. You might also look for help in the geometry section of the Student Reference Book. Find a classmate who is working on the same problem. Can the two of you work together to find a solution? Find a classmate who has completed the problem. Can she or he give you hints about how to solve it? When the time for this activity has ended, total the number of points that you have scored. If you didn t have time to complete all these pages, you can continue working on them when you have free time. Good luck and have fun! 92
Problems for the Geometry Template cont. Record your solutions on the next page. Include the problem numbers. Easy Examples 1. Using only shapes on your Geometry Template, draw an interesting picture. (2 points) 2. Trace all of the polygons on the Geometry Template that have at least one pair of parallel sides. (1 point each) parallel sides 3. Trace all of the polygons on the Geometry Template that have no pairs of parallel sides. (1 point each) 4. Trace three polygons that have at least one right angle each, three polygons that have at least one acute angle each, and three polygons that have at least one obtuse angle each. ( 1 2 point each) 5. Assume that the side of the largest square on the template has a length of 1 unit. Draw three different polygons, each with a perimeter of 8 units. (2 points each) 8 1 obtuse angle 2 3 4 7 5 6 93
Problems for the Geometry Template cont. Solutions 94
Problems for the Geometry Template cont. Record your solutions on the next page. Include the problem numbers. Moderate Examples 6. Use your template to copy this design. (3 points) 7. Without using a ruler, enlarge the rectangle. First draw a rectangle that is twice the size of the rectangle on the Geometry Template. Then draw a rectangle 3 times the size of the rectangle on the Geometry Template. (3 points each) 8. Compare the perimeters of the rectangle and the pentagon on the Geometry Template. Which polygon has the greater perimeter? You may not use the rulers on the template to help you. Describe how you were able to use other parts of your Geometry Template to solve this problem. (6 points) 9. Use the triangles on the Geometry Template to draw four different parallelograms. (2 points each) 10. Using any two polygons from the Geometry Template, draw five different pentagons. (2 points each) 95
Problems for the Geometry Template cont. Solutions 96
Math Boxes 1. What kind of regular polygon could be partially hidden behind the wall? 2. Which triangles are congruent? Complete the shape. a. b. c. d. e. 143 146 155 3. Solve. If 8 counters are one whole, then what is? 1 2 4. Trace the equilateral triangle from your Geometry Template. 1 If 9 counters are one whole, then what is 3? 5. What is the measure of angle A? O 31 74 144 6. Solve. How many 80s in 7,200? How many 600s in 54,000? How many 5s in 450,000? T 121 A How many 3,000s in 270,000? How many 90s in 63,000? 207 21 22 97
Polygon Capture Pieces H JO C B M N A I D K G L P F E Activity Sheet 3
Polygon Capture Property Cards (Front) There is only one right angle. There are one or more right angles. All angles are right angles. There are no right angles. There is at least one acute angle. At least one angle is more than 90. All angles are right angles. There are no right angles. All opposite sides are parallel. All opposite sides are parallel. Only one pair of sides is parallel. Some sides have the same length. There are no parallel sides. All opposite sides have the same length. All sides are the same length. Wild Card: Pick your own side property. Activity Sheet 4
Polygon Capture Property Cards (Back) Angles Angles Angles Angles Angles Angles Angles Angles Sides Sides Sides Sides Sides Sides Sides Sides Activity Sheet 4