Unit 6 Outline:
Similar Triangles and Right Triangle Trigonometry (Part1)
MPM 2DI
Overall Expectations
• use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;
• solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem;
Topics and Expected Homework Assignments
Lesson
Topic
1
I can solve equations and problems involving ratio & proportion.
I can determine the measure of angles using
angle relationships involving triangles and parallel lines.
2
3
4
I will investigate the properties of similar triangles
I can solve for unknowns sides of a triangle using the properties of
similar triangles.
I can solve problems involving similar triangles in realistic situations.
8
I will investigate the relationship between two sides of right triangle and
define right-triangle trigonometric ratios - Sine, Cosine and Tangent.
I can use the calculator to find ratio values given the angle, and use trig
ratios to find missing sides.
I can find angles given the trigonometric ratio.
I can find unknown angles in a right triangle.
I can solve triangles i.e. find all unknown sides and angles.
I can solve problems involving the measures of sides and angles in right
triangles in real life applications.
I can solve problems involving the measures of sides and angles in right
triangles in real life applications.
I can solve problems that involve lines and slope angle.
9
Review
10
Summative
5
6
7
Homework
Review Concepts
Read Pg 439 then do
P440 # 5aceg, 6aceg, 7aceg
Read P441 then do P442 a-h
P461 # 4, 6, 7
Pg 539 # 1,2, 3
Pg 474 # 6-9, 12, 13
Pg 540 # 6, 7, 9, 10
Pg 496 #2ace, 4abce, 6ad, 9,
10, 11
P496 # 3aceg, 5ac, 7ac ,
8abef, 13, 20, 21
Pg 500 # 26adef
Pg 498 # 14, 15, 19, 22, 23,
27, 29, 30
Pg 509# 1, 3, 7, 8, 10, 12, 19
Pg 500 # 25, 28, 33
Pg. 516 # 2, 3c, 5
Pg 521 # 7b, 8, 11-14, 15-18
AVOID STRESS. START REVIEWING AND PREPARING FOR THE FINAL EXAMINATION SUMMATIVES.
Study and formula sheets are a good place to start.
Linear Systems Review:
Pg 137 # 1--10
Pg 219# 3, 5
Analytic Geometry Review:
Pg 218 # 1-5, 6c
Pg 220 # 7, 8
Quadratics Review:
Pg 337 # 1-7, 9, 10
Pg 429 # 1, 2, 3acd, 5-7, 8acdf, 10-12
Pg 431 # 3-9
Trigonometry Review:
Pg 587 # 2, 3a, 4 – 9
Pg 586 # 1, 3-6, 8-10