Quadratic and exponential functions are used to model and analyze the quantitative relationships of real-world applications. Students investigate numeric, algebraic, and graphic representations of each of these types of functions. Students previously developed an understanding of rate of change for linear functions. In this unit, they extend their understanding of rate of change to include quadratic and exponential functions. Students compare and contrast properties of linear, quadratic, exponential, absolute value, and piecewise functions. They interpret these properties in relation to situations presented in real-world situations. These concepts provide a foundation for further study of linear and non-linear functions in subsequent courses.
The purpose of this unit is to further students’ understanding of relationships between two variable quantities. Students learn multiple methods for solving quadratic equations. They investigate the connection between the solutions of a quadratic equation and the graph of a quadratic function. Students use algebra tiles to model completing the square for a quadratic expression and to model a method to derive the quadratic formula. Students use the vertex form of a quadratic equation to investigate transformations of functions. They investigate non-linear graphs of relationships between two variable quantities and make conclusions and predictions from these graphs.
Unit 7 is typically a six-week unit taught in May and June.
Unit 7 Standards for Algebra 1(PDF)
Explanation of what your child should understand by the end of each unit (enduring understandings), how he/she will get to that understanding (essential questions), and how he/she will be evaluated (indicators).
Content map for Algebra 1 Unit 7 (PDF)
No content
| Unit 1 | Unit 2 | Unit 3 | Unit 4 | Unit 5 | Unit 6 | Unit 7 |