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Math 5 Standard 4 Combo 1/7/03 10:42 AM Page 149 Standard Indicator 5.4.2 Triangles, Triangles! Purpose Students will identify, draw, and classify triangles as equilateral, isosceles, scalene, right, acute, obtuse, and equiangular. Materials For the teacher: copy of Black Line Master (BLM) Quilt Designs For each student: copy of BLM Quilt Designs, colored pencils or markers, protractors, rulers, drawing paper, pencils Activity B. Teacher-Led Activity 1. Direct students to find right angles in the first design. Have them put a mark in each right angle to look like a small right angle ( ). 2. Have students find a triangle that has an acute angle and a right angle. Ask students to measure the three sides of this triangle. Say: “If two sides are the same, we call it a right isosceles triangle. If your triangle does not have two sides the same, look for one that does.” 3. Direct students to find two examples of right isosceles triangles of different sizes. 4. Say: “In the second design, look for a triangle with all its angles acute. Measure the sides of this triangle.” When students find that this triangle has two sides the same length, tell them that this makes it an acute, isosceles triangle. 5. Say: “Find an obtuse angle in the second design and look at the triangle that it is in. What do you notice about the other two angles?” [They are acute.] Tell students that just one obtuse angle makes this an obtuse triangle. (continued) Standard 4 / Curriculum Framework / Activity 2 Indiana Mathematics Grade 5 Standards Resource, February 2003 ACTIVITY Find other quilt designs (e.g., in the book Quilt Square Design Masters by Luanne Seymour Cohen) or actual quilts, and have students find the kinds of triangles and other shapes in them. connecting across the curriculum Visual Arts Have students make and color their own quilt designs, describing the shapes that they use. Standards Links 5.4.1, 5.4.3, 5.4.4, 5.4.7 page 149 Standard 4 A. Introduction 1. Assign students to groups of three or four. Give each student a copy of the BLM Quilt Designs. Tell students that the first design is called the Pinwheel Square and the second is called the Whirling Star. Ask why they think they are given those names. 2. Review the different types of angles: acute, right, and obtuse. 3. Explain to students that they are going to look for these in the quilt designs. extending THE Math 5 Standard 4 Combo 1/3/03 3:39 PM Page 150 Activity (continued) 6. Ask students to measure the sides of their obtuse triangles. Say: “Your numbers are probably different. When a triangle’s sides are different, it is called a scalene triangle. This triangle is also obtuse because of the angle. We call this triangle obtuse, scalene.” 7. Say: “When we talk about different kinds of triangles, we talk about them according to their angles and according to their sides, so every triangle has two names.” 8. Ask students to try to find an equilateral triangle. They should not find one, so ask them to draw one in each of the squares in the first design. Standard 4 C. Group Activity 1. Have students complete the BLM. 2. On separate paper, have students work in their groups to make as many different kinds of triangles as possible. Expect them to draw acute scalene, acute isosceles, acute equilateral (also called equiangular), obtuse scalene, obtuse isosceles, right scalene, and right isosceles. You may have to help them in order to obtain the full list of triangles. 3. Allow students to share their findings and their work. Questions for Review Basic Concepts and Processes During the activity, discuss the following questions with your students: What are the different ways of naming triangles? What kind of triangle is this [indicate triangle on BLM]? Show me an obtuse angle on the BLM. Tell me why this is a [insert side-name, angle-name] triangle. page 150 Standard 4 / Curriculum Framework / Activity 2 Indiana Mathematics Grade 5 Standards Resource, February 2003 Math 5 Standard 4 Combo 1/3/03 3:39 PM Page 151 Name: Quilt Designs Quilt Square: Pinwheel Square Color the smaller isosceles right triangles green. Color the larger isosceles right triangles blue. Color the scalene right triangles red. Quilt Square: Whirling Star First, color the isosceles right triangles green. Color the other isosceles triangles blue. Color the obtuse scalene triangles red. Standard 4 / Curriculum Framework / Activity 2 Indiana Mathematics Grade 5 Standards Resource, February 2003 Black Line Master 1 page 151 Math 5 Standard 4 Combo 1/3/03 3:39 PM Page 152 Quilt Designs Teacher Directions Distribute one copy of the BLM Quilt Designs to each student. Use the BLM as described in the Teacher-Led and Group Activities. Answer Key Colors: R = red B = blue G = green Pinwheel Square: G N Whirling Star: G R B B B N N Black Line Master 1 page 152 G R R B B B G R B B B N G B B R R B B G G R B R B B B R B G R G G B R R R N B G R N = not colored R G R Standard 4 / Curriculum Framework / Activity 2 Indiana Mathematics Grade 5 Standards Resource, February 2003