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Students are introduced to the "geometric mean," which is derived from similar triangles created within a rt. triangle (just a multiplicative average...a radical with index 2), then see an informal proof of the Pythagorean Theorem and apply the properties within problems.
Sec 8.1 & 8.2 vocab, basics, and examples.
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Sec 8.1: Required: Required: 9-25 odd, 28-31 all, 35-37 all. Suggested: 49, 50.
Sec 8.2: Required: Required: 9-17 odd, 24-28 all, 31-33 all, 39-42 all, 46. Suggested: 47, 49.
Quiz 8.1 to 8.3 on 2/2 (B) or 2/5 (A).
Quiz 8.4 & 8.5 on 2/6 (B) or 2/9 (A).
Quiz 8.6 (partner) on 2/10 (B) or 2/11 (A).
Ch 8 Test on 2/12 (B) or 2/13 (A).
Students work with special right triangles. 45-45-90 developed from a square, and 30-60-90 developed from an equilateral triangle.
Sec 8.3: vocab and examples.
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Transformation Proj: Intro, then Pg 5 & 6 (translations).
Sec 8.3: Required: 9-33 odd, 37, 38, 46, 48, 49.
Quiz 8.1 to 8.3 on 2/2 (B) or 2/5 (A).
Quiz 8.4 & 8.5 on 2/6 (B) or 2/9 (A).
Quiz 8.6 (partner) on 2/10 (B) or 2/11 (A).
Ch 8 Test on 2/12 (B) or 2/13 (A).
Students are introduced to trig ratios (sine, cosine, and tangent), which are just the three sets of ratios between sides of a right triangle. They are also introduced to using a table of estimated values and how to round with accuracy.
Sec 8.4: vocab and examples.
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Sec 8.4: Required: 17-33 odd, 37-47 odd, 52-55 all, 57-59 all, 62-64 all.
Quiz 8.1 to 8.3 on 2/2 (B) or 2/5 (A).
Quiz 8.4 & 8.5 on 2/6 (B) or 2/9 (A).
Quiz 8.6 (partner) on 2/10 (B) or 2/11 (A).
Ch 8 Test on 2/12 (B) or 2/13 (A).
Students apply trigonometric ratios to work on angle of elevation and depression problems (mostly using the tangent ratio).
Sec 8.5 & 9.5: vocab and examples.
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Sec 9.5 notes are on the Geom Downloads page.
Sec 8.5: Required: 5-17 odd, 23-25 all, 33-47 odd.
Sec 9.5: Required: 19, 21, 3, 27-30 all, 35-41 odd, 42-44 all.
Quiz 8.4 & 8.5 on 2/6 (B) or 2/9 (A).
Quiz 8.6 (partner) on 2/10 (B) or 2/11 (A).
Ch 8 Test on 2/12 (B) or 2/13 (A).
Students work with the Law of Sines, which is a way to "solve" all parts of a non-right triangle when one side and two angle values are known (triangle sum theorem finds the 3rd angle). As an example, if at least two angle measures are known and the triangle isn't right, then Law of Sines may come in handy.
Students work with the Law of Cosines, which is a way to "solve" all parts of a non-right triangle when exactly two sides and their included angle values are known, OR when all three side values are known. As an example, if 1 or fewer angle measures are known and the triangle isn't right, then, the Law of Cosines may come in handy.
Sec 8.6: vocab and examples.
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Sec 8.6: Required: 13-19 all, 23-29 all, 31-45 odd, 47, 49, 55.
Text Study Guide (Pg.61): Suggested: 1-37 odd.
Quiz 8.6 (partner) on 2/10 (B) or 2/11 (A).
Ch 8 Test on 2/12 (B) or 2/13 (A).
Ch 8 Review
MCMS Practice Test: Required: all. Download the Practice Test and the solutions, which include many problems past students have asked about.
Text Practice Test (Pg 615): Required: 2-12 even, 16-22 even. Check answers in class with the teacher's ed.
Ch 8 Test on 2/12 (B) or 2/13 (A).
The project will be the focus today.
Sec 9.3 & 9.6: vocab and examples.
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Transformation Proj: Intro then Pg 7 & 8 (rotations).
Transformation Proj: Intro then Pg 9 & 10 (dilations).
Sec 9.3: Required: 15-19 all, 24-27 all.
Sec 9.6: Required: 15-18 all, 21, 23, 25, 26.