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Chapter 6 Builds on right triangles and connects trigonometry learning in chapter 3 and 4 with the Pythagorean Theorem. Fractional exponents are introduced and students use known properties of exponents to simplify these expressions.
Chapter 6 Builds on right triangles and connects trigonometry learning in chapter 3 and 4 with the Pythagorean Theorem. Fractional exponents are introduced and students use known properties of exponents to simplify these expressions.
Current Chapter Resources and Practice
Current Chapter Resources and Practice
Background Knowledge Resources
Background Knowledge Resources
Learning Outcomes for Chapter 6: Open your e-book to access the links to the problems
Learning Outcomes for Chapter 6: Open your e-book to access the links to the problems
Previous Content:
- Solve quadratic equations by using the Quadratic Formula, including equations with complex solutions, as in problems 6-9, 6-34, 6-46, 6-74, 6-92, and CL 6-112, Chapter 5
- Add, subtract, and multiply complex numbers, as in problems 6-22, 6-45, 6-55, 6-102, and CL 6-113, 5.2.6
Chapter 6 Content:
- Recognize and apply the side ratios in 30°- 60°- 90° triangles and 45°- 45°- 90° triangles, as in problems 6-6, 6-19(b) and (d), 6-33(d), 6-44, 6-56, and CL 6-109. Problems may present triangles independently or joined as part of a larger shape.
- Recognize the smallest Pythagorean Triples and use them as shortcuts to determine missing side lengths in other triangles, as in problems 6-19(a) and (c), 6-43, 6-63, and CL 6-110.
- Rewriting fractional exponents and solving exponent problems involving fractional exponents, as in problems 6-42, 6-62, 6-85, 6-101, and CL 6-111.
- Determine the area and/or perimeter of a shape where they will need to use their knowledge of trigonometry or special right triangles to calculate missing lengths, as in problems 6-6, 6-44, 6-63, 6-91, and CL 6-114.
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