Embedded Files
Chapter 9 builds on understanding of quadratics, inequalities, and transforming functions. Students will look at the structure of the equations of quadratic and absolute value functions to transform the graphs. Next students will explore quadratic inequalities. In section 3, students find the average rate of change and compare the growth of different types of functions. In the last section you will combine functions in various ways and discover the inverse of a function.
Chapter 9 builds on understanding of quadratics, inequalities, and transforming functions. Students will look at the structure of the equations of quadratic and absolute value functions to transform the graphs. Next students will explore quadratic inequalities. In section 3, students find the average rate of change and compare the growth of different types of functions. In the last section you will combine functions in various ways and discover the inverse of a function.
Current Chapter Resources and Practice
Current Chapter Resources and Practice
Background Knowledge Resources
Background Knowledge Resources
Videos
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 9: Quadratic Graph, Table, Equation, Situation Connections
Checkpoint 9: Quadratic Graph, Table, Equation, Situation Connections
You e-book has a checkpoint resource (you must have the e-book open to access the link and click on CP
Learning Outcomes for Chapter 9: Open your e-book to access the links to the problems
Learning Outcomes for Chapter 9: Open your e-book to access the links to the problems
Past Concepts
- Master Checkpoint 9: The Quadratic Web, as in problems 9-19, 9-82, 9-109, 9‑122, 9‑134, and CL 9‑151.
Current Concepts
- Transform a quadratic or absolute value function, as in problems 9-16, 9-30, 9-42, 9-81, 9-98, 9-141, and CL 9-147.
- Complete the square to rewrite the equation of a quadratic function given in standard form in graphing form, as in problems 9-44, 9-57, 9-88, 9-143, and CL 9-148. (For a = 1 and even or odd values of b.)
- Algebraically determine the intersection points of linear and quadratic functions, as in problems 9-67, 9-86, 9-96, and CL 9-149.
- Solve one-variable inequalities, including quadratic inequalities, and express the answer algebraically and on a number line, as in problems 9-54, 9-87, 9-121, and CL 9-150.
- Determining which function will exceed another based on graphs or tables for linear, quadratic, and exponential functions, as in problems 9-95, 9-113, and 9-133. Also, calculating the average rate of change for a function over a specified interval, as in problems 9-78, 9-95(b and c), and 9-113(b).
- Writing equations for a simple piecewise-defined function given a graph or situation, as in problems 9-107, 9-119, and 9-142(a).
- Combining functions through arithmetic operations, as in problems 9-118(c) and 9-135.
- Writing the equation of the inverse of a linear function, as in problems 9-132 and 9‑139(a).
- Determining inverse functions of non-linear functions, including limiting the domain, as in problem 9-139.
Page updated
Report abuse