S1+Bates,+Tristan

=Stage 1 Identify Desired Results= Functions and Relations Grade 9-Diploma 4. **Students understand and interpret the characteristics of functions using graphs, tables, and algebraic techniques.** c. Use concepts such as domain, range, zeros, intercepts, and maximum and minimum values. ||
 * **Establish Goals:** **(G)** ||
 * //Maine Learning Results//: Mathematics- D. Algebra

//What understandings are desired?//
•There is more than one way to solve an equation. •Graphs are useful in the real world. ||
 * //Students will understand that:// **(U)** ||
 * •Functions and graphs are related.

//What essential questions will be considered?//
•Why is it important to be able to use both graphs and functions? •How are graphs used in the real world? ||
 * **Essential Questions:** **(Q)** ||
 * •How do functions and graphs relate?

//What key knowledge and skills will students acquire as a result of this unit?//
•Formulas- know the graphs of: x^n with n=1, 2, or 3, ax^2+bx+c, sqrt(x), abs(x), a/x, a^x, kx+b •Definitions- function, graph, equation || •Derive a graph from an equation. •Interpret the characteristics of functions using graphs, tables, and algebraic techniques. •c. Use concepts such as domain, range, zeros, intercepts, and maximum and minimum values. •Compare how graphs relate to equations (and equations to graphs). •Consider how graphs are used in the real world. •Recognize the graphs of the basic functions. ||
 * //Students will know:// **(K)** || //Students will be able to do:// **(S)** ||
 * •Terminology- domain, range, intercept, xy-axis, zeros, maximum, minimum, slope
 * 2004 ASCD and Grant Wiggins and Jay McTighe**