1. Textbook: CMP3 Grade 7 Unit: Shapes and Designs
Quick Start Expectations
Come in quietly, pick up a HWRS and empty your file.
Fill in planner and HWRS:
Work on Warm-up:
Textbook: CMP3 Grade 7 Unit: Shapes and Designs
pp , # 6-9

2. (Underline 2 or 3 key words in your question.)
Notebook
Problem 3.2: Design Challenge /29/14
What is the smallest number of side and angle measurements that will tell you how to draw an exact copy of any given triangle?
(Underline 2 or 3 key words in your question.)

4. Group Task Part A-D (Textbook Page 64-65 – 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-D.
Participation Captain:
Encourage everyone to participate in the discussion.
Resource Manager:
Raise hand to ask teacher a question if everyone in the group has the same question.
Note: Everyone should be prepared to share answers in the class discussion.

5. p. 64
Have students sketch triangles on poster paper to prove their thinking. Consider having a Gallery Walk to help students refine their thinking.
Side-Angle-Side = unique triangle.
Angle-Side-Angle = unique triangle.
Side-Side-Angle does not equal a unique triangle (though some such combinations will).
Angle-Angle-Angle does not equal a unique triangle (the side lengths may be different, only a pair of similar triangles is guaranteed).
Angle-Angle-Side does not equal a unique triangle, because there are many possible side lengths.

6. Side Angle Angle Side Side Angle Angle Angle Side
Have students sketch triangles on poster paper to prove their thinking. Consider having a Gallery Walk to help students refine their thinking.
Side-Angle-Side = unique triangle.
Angle-Side-Angle = unique triangle.
Side-Side-Angle does not equal a unique triangle (though some such combinations will).
Angle-Angle-Angle does not equal a unique triangle (the side lengths may be different, only a pair of similar triangles is guaranteed).
Angle-Angle-Side does equal a unique triangle, because you can use the given information to find the third angle and then you will have ASA.

7. Draw an equilateral triangle with sides of 1.5 inches.
Draw a right triangle with legs 1.5 inches and inches.
Consider giving each group two triangles instead of all triangles.
Draw an equilateral triangle with sides 1 in. Draw an angle of 60 degrees and mark two sides of 1 in on the legs of that angle. Then connect the end points of those legs to complete the triangle.
Draw a right triangle with legs 1 in and 114 in. (check 114). Draw an angle of 90 degrees and mark sides of 1 in and 114 in on the legs of that angle. Then connect the end points of those legs to complete the triangle.
Measure either two sides and the included angle or two angles and a side. 30 degrees, 125 degrees, 25 degrees, 114 in, 114 in and 212 in.
Draw an isosceles triangle with vertex angle 40 degrees and equal sides 112 in long. Draw an isosceles triangle with base 1 in long and base angles 70 degrees.
Draw a 25 degree angle with legs of 2.25 inches and 3.75 inches.
Draw an 70 degree angle with sides of 1.5 inches and 2.25 inches.

8. three side lengths (SSS) or with
You need to have at least three sides and/or angle measurements – but not any three. You can make a unique triangle with
three side lengths (SSS) or with
two angles and one side length (ASA or AAS).
At least three sides and/or angle measurements, but not any three. Given three side lengths (SSS) that make a triangle, there will be only one triangle. Given two angles and one side length (either the included side ASA or the non-included side AAS) there will be only one triangle.
All copies of the right triangle using the same three side lengths will make the same triangle. The order in which you connect the sides does not matter. So the copy will also be a right triangle.
If you use the same three side lengths you will always make the same triangle (a right triangle) – the order in which you connect the sides does not matter.

9. Textbook: CMP3 Grade 7 Unit: Shapes and Designs
Exit Ticket:
What is the smallest number of side and angle measurements that will tell you how to draw an exact copy of any given triangle? Explain your reasoning:
Homework
Textbook: CMP3 Grade 7 Unit: Shapes and Designs
pp , # 6-9