In this Math I/Math I Support course, students will explore specific aspects of the six Family of Functions and be able to graph and identify each by key characteristics.

A. Identify functions by graph and equation

B. Identify critical points and slope

C. Identify characteristics: Domain and range, zeros and intercepts, max and min, end behavior, and increase and decrease

C. Graph equation

D. Write equations from graph

E. Identify parent graphs.

**Guiding Question:**

How do we identify and graph each of the family of functions?

**Materials:**

Presentation materials: PowerPoint & Promethean flipscharts from Valdosta High School Math I Team, graph paper, colored pencils, construction paper for graphic organizer,

Additional materials. Textbook: *Georgia High School Mathematics 1*. McDougal Littell, 2008.Workbook: *Math 1: Georgia Notetaking Guide*. McDougal Littell, 2008.Test Prep: *Georgia Mathematics 1: Test Preparation and Practice*. McDougal Littell, 2008.*Coach: Georgia GPS Edition Standards Based Instruction.* Triumph Learning. 2009.
**Procedures:**

What do students need to learn to be able to answer the Essential Question? Answer Assessment Prompts: Assessment Prompt #1: White Board: Identify family of function equations: x^{1}, x^{2}, ?x?, x^{3}, ?x, 1/x (Math I Concept 2 Promethean Flipchart page 12.)Assessment Prompt #2: White Board/Promethean: Identify parent graphs (Math I Concept 2 Promethean Flipchart page 80.)Assessment Prompt #3: Graph the parent graphs by completing a graphic organizer.
**Assessment:**

Quiz: Math I Concept 2 PowerPoint or Promethean Flipchart

*Day One* Ticket out the Door: *Georgia Mathematics 1: Test Prep and Practice* (McDougal Littell, 2007. ISBN-13: 9780-618-92023-5).

*Day Two* 3-2-1 Draw 3 linear graphs, Draw 2 quadratic graphs, Draw 1 Absolute Value graph

*Day Three (if necessary):* Find the critical points on samples of each type of graph

**Answer Key or Rubric:**

Answer Key: Included within Promethean charts, text and resource materialsAP #1: Math I Concept 2 Promethean Flipchart page 14AP # 2: Math I Concept 2 Promethean Flipchart page 80

**Benchmark or Standards: ** Georgia Performance Standards for Math I/Math I Support

MM1A1.a: How do we represent functions using function notation?

MM1A1.b: How do we graph and write equations for each of the Family of Functions? MM1A1.c: How do we graph transformations of functions?

MM1A1.d: What are the characteristics of a function and how do you use them?

MM1A1.e: How do we use graphs and tables to investigate behavior of functions?

MM1A1.f: How do we recognize sequences as functions with domains that are whole numbers?

MM1A1.g: How do constant rates of change compare to variable rates of change within the Family of Functions?

MM1A1.h: How do we determine graphically and algebraically whether a function has symmetry and whether it is odd, even, or neither?

MM1A1.i: How do we interpret an equation in x, and its solutions as f(x) = g(x) and show where they intersect?

**Attached Files:**

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