Chapter 3 – Triangles! Triangles! Triangles! Problem Set Sec 3

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Chapter 3 – Triangles! Triangles! Triangles!
Problem Set
Sec 3-2 p.122 #8, 15
Sec 3-3 p.129 #18
Sec 3-4 p.135 #10
Sec 3-5 p.139 #10
Sec 3-6 p.144 #12
Sec 3-7 p.152 #16
Sec 3-8 p.158 #8
Lesson 1 – Defining & Discovering Triangles
 Define a triangle
 Discover the restrictions on the side lengths and angle measures of a triangle.
 Define types of triangles by angle.
 Recall the Triangle Inequality
Handouts:
HW: Read and Take notes on 3.1, do:
Lesson 2 – Congruent Triangle Discovery
 Define Congruence for shapes
 Decide on the possible congruence combinations for Triangles
 Use experimental methods to discover which methods prove triangles congruent.
Handouts: Discovery worksheet, Homework worksheet
HW: Finish homework worksheet
Lesson 3 – Section 3.2: Proving Triangles Congruent
 Prove triangles congruent using the methods SSS, SAS and ASA.
 Notation for congruent Triangles
 Markings for congruent triangle proofs.
Handouts: Notes Packet 3.2
HW: p.120: 1-5, 8, 15, 17
Lesson 4 – Section 3.3: CPCTC
 Discover that triangles can be a means to an end.
 Define CPCTC
 Learn Circle Theorems
Handouts: Notes Packet 3.3
HW: pg. 127: 4, 6, 13, 16 – 18
Lesson 5 – Section 3.4: Beyond CPCTC
 Use CPCTC to prove other things
 Define median and altitude
 Strategy – Find The Useful Triangles
 Learn to distinguish between medians, altitudes and angle bisectors
Handouts:
HW: pg.135: 1, 4-7, 9, 10
Lesson 6 – Section 3.5: Overlapping Triangles
 Recognize overlapping triangles
 Prove triangles congruent while in an overlapping configuration.
Handouts:
HW: pg.139: 2-4, 8-11
Lesson 7 – Section 3.6/3.7: Types of Triangles & Angle-Side Theorems
 Define triangles by side length
 Prove the Angle-Side Theorems
 Use special types of triangles in proofs
Handouts:
HW: pg.152: 4, 7, 8, 13, 15, 16, 19
Lesson 8 – Section 3.8: The HL Postulate
 Learn to prove triangles congruent using Hypotenuse-Leg
Handouts:
HW: pg.158: 4, 6, 8-10, 12, 14
Lesson 9 – Group Quiz
Lesson 10 – Problem Set Due
Lesson 11 – Review Day
Lesson 12 – Test
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