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Chapter 4 Discovering and Proving Triangle Properties
4.1 Triangle Sum Conjecture
I Can
-State the definition for the term (auxiliary line)
-Write and use the conjectures (Triangle Sum Conjecture, Third Angle Conjecture)
-Use the conjectures to solve for angle measurements in triangles
-Do pages 201-203 problems #2-9, 14-21
4.2 Properties of Special Triangles
I Can
-State the definition for the term (legs)
-Write and use the conjectures (Isosceles Triangle Conjecture, Converse of the Isosceles Triangle
Conjecture)
-Use properties of an isosceles triangle to solve for side lengths and angle measurements
-Do pages 206-209 problems #1-8, 10-11, 15-18, 21-22
Alg 4 Writing Linear Equations
I Can
-Know the slope-intercept form of a line y=mx+b
-Use the relationship between the coefficient x and the slope of the graph of a linear equation
-Do page 212 problems #1-14
4.3 Triangle Inequalities
I Can
-State the definitions for the terms (exterior angle, adjacent angle, remote interior angles)
-Write and use the conjectures (Triangle Inequality Conjecture, Side-Angle Inequality Conjecture,
Triangle Exterior Angle Conjecture)
-Determine whether it is possible to draw triangles given side measurements and angle
measurements
-Do pages 216-217 problems #1-17, 19-23
4.4 Are There Congruence Shortcuts?
I Can
-Write and use the conjectures (SSS Congruence Conjecture, SAS Congruence Conjecture)
-Determine whether triangles are congruent
-Do pages 222-224 problems #1-6, 8-16, 20
4.5 Are There Other Congruence Shortcuts?
I Can
-Write and use the conjectures (ASA Congruence Conjecture, SAA Congruence Conjecture)
-Determine whether triangles are congruent
-Do pages 227-228 problems #1-15
4.6 Corresponding Parts of Congruent Triangles
I Can
-Show that pairs of angles or pairs of sides are congruent by identifying related triangles and proving
them congruent, then applying CPCTC
-Do pages 231-233 problems #1-15, 18, 23
4.7 Flowchart Thinking
I Can
-State the definitions for the terms (flowchart, flowchart proof)
-Create flowchart proofs
-Do pages 237-239 problems #1-6, 8-13
4.8 Proving Isosceles Triangle Conjectures
I Can
-Write and use the conjectures (Vertex Angles Bisector Conjecture, Equilateral/Equiangular Triangle
Conjecture)
-Practice writing flowchart proofs
-Do pages 243-245 problems #1-6, 11
Chapter Review
-Do pages 249-251 problems #1-28
Assessments
Quiz 1 Lessons 4.1-4.3
Quiz 2 Lessons 4.4-4.5
Quiz 3 Lessons 4.6-4.8
Test Chapter 4 Lessons 4.1-4.8 and Chapter Review