Created on: October 3, 2009

Website Address: https://library.curriki.org/oer/Family-of-Functions

TABLE OF CONTENTS

- Kate's Math Lessons-Geometry
- Kate's Math Lessons-Algebra 1
- POLYUP: GRADES 3 to 5 MATH
- Crash Course: Computer Science-Programming
- Crash Course: Computer Science
- Crash Course Videos: Statistics
- Math Simulations
- Math Videos
- Brainpop Videos
- Kid TED Talks
- IXL Math
- Desmos
- Khan Academy Math Videos
- Illustrative Mathematics
- Newsela
- Online math and language arts program

- Crash Course Video: ANOVA Part 2: Dealing with Intersectional Groups: Crash Course Statistics #34
- Crash Course Video: You know I’m all about that Bayes: Crash Course Statistics #24
- Crash Course Video: Bayes in science and everyday life: Crash Course Statistics #25
- Crash Course Video: Test Statistics: Crash Course Statistics #26
- Crash Course Video: T-Tests: A Matched Pair Made in Heaven: Crash Course Statistics #27
- Crash Course Video: Degrees of Freedom & Effect Sizes: Crash Course Statistics #28
- Crash Course Video: Chi-Square Tests: Crash Course Statistics #29
- Crash Course Video: P-Hacking: Crash Course Statistics #30
- Crash Course Video: The Replication Crisis: Crash Course Statistics #31
- Crash Course Video: Regression: Crash Course Statistics #32
- Crash Course Video: ANOVA: Crash Course Statistics #33
- Crash Course Video: Playing with Power: P-Values Pt 3: Crash Course Statistics #23
- Crash Course Video: Fitting Models Is like Tetris: Crash Course Statistics #35
- Crash Course Video: Supervised Machine Learning: Crash Course Statistics #36
- Crash Course Video: Unsupervised Machine Learning: Crash Course Statistics #37
- Crash Course Video: Intro to Big Data: Crash Course Statistics #38
- Crash Course Video: Big Data Problems: Crash Course Statistics #39
- Crash Course Video: Statistics in the Courts: Crash Course Statistics #40
- Crash Course Video: Neural Networks: Crash Course Statistics #41
- Crash Course Video: War: Crash Course Statistics #42
- Crash Course Video: When Predictions Fail: Crash Course Statistics #43
- Crash Course Video: When Predictions Succeed: Crash Course Statistics #44
- Crash Course Video: Henrietta Lacks, the Tuskegee Experiment, & Ethical Data Collection: Crash Course Statistics #12
- Crash Course Video: Mathematical Thinking: Crash Course Statistics #2
- Crash Course Video: Mean, Median, and Mode: Measures of Central Tendency: Crash Course Statistics #3
- Crash Course Video: Measures of Spread: Crash Course Statistics #4
- Crash Course Video: Charts Are Like Pasta - Data Visualization Part 1: Crash Course Statistics #5
- Crash Course Video: Plots, Outliers, and Justin Timberlake: Data Visualization Part 2: Crash Course Statistics #6
- Crash Course Video: The Shape of Data: Distributions: Crash Course Statistics #7
- Crash Course Video: Correlation Doesn’t Equal Causation: Crash Course Statistics #8
- Crash Course Video: Controlled Experiments: Crash Course Statistics #9
- Crash Course Video: Sampling Methods and Bias with Surveys: Crash Course Statistics #10
- Crash Course Video: Science Journalism: Crash Course Statistics #11
- Crash Course Video: What Is Statistics: Crash Course Statistics #1
- Crash Course Video: Probability Part 1: Rules and Patterns: Crash Course Statistics #13
- Crash Course Video: Probability Part 2: Updating Your Beliefs with Bayes: Crash Course Statistics #14
- Crash Course Video: The Binomial Distribution: Crash Course Statistics #15
- Crash Course Video: Geometric Distributions & The Birthday Paradox: Crash Course Statistics #16
- Crash Course Video: Randomness: Crash Course Statistics #17
- Crash Course Video: Z-Scores and Percentiles: Crash Course Statistics #18
- Crash Course Video: The Normal Distribution: Crash Course Statistics #19
- Crash Course Video: Confidence Intervals: Crash Course Statistics #20
- Crash Course Video: How p-values help us test hypotheses: Crash Course Statistics #21
- Crash Course Video: P-Value Problems: Crash Course Statistics #22

- Pythagorean Theorem Battleship
- Arithmetic
- Adding Integers (Positives and Negatives)
- National Library of Virtual Manipulatives
- Equation Grapher from PhET
- Family of Functions
- Area of Circle
- Interactive Tutorial for Integer Addition/Subtraction
- Interactive Simulation: Bar Grapher
- Interactive Excel Spreadsheets: Examples for Use in the Classroom and How to Develop
- Turing Machine Simulation
- Simulation: Circle Grapher

IN COLLECTION

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:**