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Quick Start Expectations

Quick Start Expectations. Come in and sit quietly. Fill in planner and HWRS : Work on Warm-up: Buildings , towers, and other structures contain many triangles in their design. What properties of triangles make them valuable in construction?. SD p. 76-86, # 1-5, 28. Notebook.

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Quick Start Expectations

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  1. Quick Start Expectations • Come in and sit quietly. • Fill in planner and HWRS: • Work on Warm-up: • Buildings, towers, and other structures contain many triangles in their design. What properties of triangles make them valuable in construction? SD p. 76-86, # 1-5, 28

  2. Notebook Problem 3.1: Building Triangles 9/26/14 What combinations of 3 side lengths can be used to make a triangle? How many different shapes are possible for such a combination of side lengths?

  3. Investigation 3: Designing Triangles and Quadrilaterals p. 62

  4. Group Task Part A (Labsheet 3.1: Building Triangles) Part B (Textbook Page 63 – Complete in Notebook) Learning Facilitator: Keep group on task and aware of time. Reporter/Recorder: Make sure everyone is writing down the group’s ideas for Parts A and B. Participation Captain: Encourage everyone to participate in the discussion. Resource Manager: Pick up lab sheets and polystrips for group. Note: Everyone should be prepared to share answers in the class discussion.

  5. Virtual polystrips: http://media.pearsoncmg.com/curriculum/math/cmp3/activities/A82391/

  6. Examples: 3,4,5 4,2,3 5,7,4 1,1,3 2,4,7 2,3,8

  7. less than or equal to greater than or equal to If side 1 + side 2 ≤side3,NOtriangle can be constructed. To form a triangle: side 1 + side 2 ≥ side 3. In NO case can a given set of side lengths be used to make 2 different triangle shapes! What did you find? Domake a triangle: (5, 12, 8), (16, 10, 7), (6, 3, 6) Do NOT make a triangle:(4, 9, 3),(12, 5, 19), (11, 5, 18)

  8. Can we come up with a summary statement that would help someone who is not here today know how to judge whether three lengths will make a triangle without actually building the triangle? For example: 4, 3, 5 8, 2, 12 8, 8, 4 Which sets form a triangle? Why? Do any of the triangles have special properties? Describe them. 4, 3, 5 and 8, 8, 4 because the sum of any two sides is greater than the third. 8, 8, 4 is isosceles since it has two equal sides. 4, 3, 5 is a right triangle because it has one 90 degree angle AND is a scalene triangle since all sides have different lengths.

  9. Exit Ticket: Jennifer says that you can make a triangle with any three side lengths. Do you agree or disagree? Explain your reasoning and provide an example to prove your thinking. Homework: Textbook: CMP3 Grade 7 Unit: Shapes and Designs p. 76-86, # 1-5, 28

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