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Chapter 2 explores shifting, stretching, compressing and reflecting parent functions including parabolas, rational, exponential, square roots, and circles.
Chapter 2 explores shifting, stretching, compressing and reflecting parent functions including parabolas, rational, exponential, square roots, and circles.
Current Chapter Resources and Practice
Current Chapter Resources and Practice
Background Knowledge Resources
Background Knowledge Resources
Videos
Algebra Tiles Completing the Square
Checkpoint Review: Students master different skills at different speeds. No two students learn exactly the same way at the same time. At some point you will be expected to perform certain skills accurately. Most of the Checkpoint problems incorporate skills previously developed. Each chapter has a different skill that should be mastered.
Checkpoint 2: Solving Quadratic Equations using zero product property, completing the square and quadratic formula
Checkpoint 2: Solving Quadratic Equations using zero product property, completing the square and quadratic formula
You e-book has a checkpoint resource You must have the e-book open to access the link and click on CP 2
Learning Outcomes for Chapter 2: Open your e-book to access the links to the problems
Learning Outcomes for Chapter 2: Open your e-book to access the links to the problems
Review Topics
- Master Checkpoint 2: Solving Quadratic Equations, including ones with complex solutions, as in problems CL 1‑116, 2-6, 2‑21(c), 2‑65(a), 2-105, 2‑123(b), 2‑128, and CL 2-149.
- Write equations of exponential functions and/or use them to solve problems, as in problems 2-19, 2-34, 2‑38, 2-58, 2-79, and CL 2‑150.
- Determine the intersection point(s) of two linear functions or one linear and one quadratic function, as in problems 1‑66, CL 1‑115(a), 2-10, 2‑46, 2‑78, and CL 2‑147.
- Use trigonometry to solve right triangles, as in problems 2‑9, 2‑20, 2‑47, 2‑76, 2‑121, and CL 2‑151.
Chapter 2 Concepts
- Graph parabolas by identifying the intercepts and vertex, as in problems 2-31, 2-37, 2-64, 2-83, and CL 2-145.
- Model and solve everyday problems using quadratic functions, as in problems 2-18, 2‑30, 2-85, 2-139, and CL 2-143.
- Write equations of transformed functions/equations and/or sketch their graphs, focusing on quadratic, square root, absolute value, and cubic functions, and equations of circles, as in problems 2-43, 2-44, 2-56, 2-63, 2‑97, 2‑102, 2‑119, CL 2-144, CL 2‑146, and CL 2‑148.
- Writing the equations and/or sketching the graphs of exponentials and hyperbolas, as in parts (a) and (d) of problems 2-44.
- Distinguishing between odd and even functions, as in problems 2-82, 2‑95, and 2-122.
- Calculating average rate of change, as in Lesson 2.2.5 and problem 2-124.
- Choosing and justifying the choice of a mathematical model for relationships that are not clearly linear, quadratic, or exponential, and/or creating a model by combining two functions, as in Lesson 2.2.5.
- Rewriting the equation of a parabola or circle from standard form into graphing form by completing the square, as in Lesson 2.3.1.
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