8.3.7Ma


 * Grade: 8 Unit: 3 Week: 7 Dates: 1/22-1/25 (4 days) **
 * Content: Analyzing Functions **

How are functions used to describe relationships that happen in our lives?
 * Theme Essential Question: **


 * Essential Questions: **
 * How can you describe a relationship given a piece-wise graph?
 * How do you sketch a piece-wise graph given a description?


 * Standards **
 * 8. F.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.


 * Objectives **
 * The student will interpret a situation, given a graph depicting a series of events.
 * The student will prepare a graph depicting the series of events, given a situation.

Entry #7
 * Assessment **
 * Product **
 * Students will continue creating a portfolio detailing their growth pertaining to the topics addressed throughout this unit on functions. The Entry provided follows the theme of construction repair and remodel.
 * Students are to develop two piece-wise graphs with supporting explanations that depict a delivery truck supplying several job sites.
 * The first graph will describe the truck’s distance from the warehouse.
 * The second graph will describe the truck’s speed during the delivery trip. The truck will make at least 5 stops.


 * Key Questions **
 * What do vertical, horizontal, increasing, and decreasing line segments represent in a distance vs. time graph?
 * What do vertical, horizontal, increasing, and decreasing line segments represent in a speed vs. time graph?
 * How would you apply your knowledge of interpreting graphs using a stock mark graph?

1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * Observable Student Behaviors **
 * The student can describe quantitatively a piece-wise function.
 * Given a verbal description, the student can sketch the corresponding piece-wise function.
 * Mathematical Practices

Functions, graphing functions, linear/non-linear
 * Vocabulary **

Create a graph of a runner's position versus time and watch the runner complete a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. (Student Exploration Sheet & Teacher Guide Available) Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time. (Student Exploration Sheet & Teacher Guide Available) Determine if a relation is a function from the mapping diagram, ordered pairs, or graph. Use the graph to determine if it is linear. (Student Exploration Sheet & Teacher Guide Available)
 * Suggested Activities ** [see Legend to highlight MCO and HYS]
 * Houghton Mifflin OnCore Mathematics Middle School Grade 8 Unit 2-7 p.57-60
 * ABC Mastering the Common Core in Mathematics 7.8, p. 101-104
 * Gizmo Lessons
 * Distance-Time Graph
 * Distance-Time and Velocity-Time Graphs
 * Linear Functions
 * __ Teaching the Common Core Math Standards with Hands-On Activities __ by Judith Muschla
 * 8.F.5 p.198

Diverse Learners Odyssey (teacher discretion) Skills Tutor (teacher discretion) Algebra’scool: Unit C Module 9


 * Homework **
 * @http://www.kutasoftware.com/free.html to print assignments on variety of topics
 * See appropriate Glencoe, OnCore, JBHM, and ABC materials

** E ** thnicity/**C**ulture | **I**mmigration/**M**igration | **I**ntercultural **C**ompetence | **S**ocialization | **R**acism/**D**iscrimination ** High Yield Strategies ** ** S ** imilarities/**D**ifferences | **S**ummarizing/**N**otetaking | **R**einforcing/**R**ecognition | **H**omework/**P**ractice | ** N ** on-**L**inguistic representation | **C**ooperative **L**earning | **O**bjectives/**F**eedback | ** G ** enerating-**T**esting **H**ypothesis | **C**ues, **Q**uestions, **O**rganizers ||   || **Lesson Plan in Word Format** (Click Cancel if asked to Log In)
 * Terminology for Teachers **
 * || ** Multicultural Concepts **


 * Resources **


 * Professional Texts **


 * Literary Texts **


 * Informational Texts **
 * See New York Common Core Aligned Task (other resources)
 * @http://schools.nyc.gov/Academics/CommonCoreLibrary/SeeStudentWork/default.htm


 * Art, Music, and Media **


 * Manipulatives **
 * ** @http://nlvm.usu.edu/ ** National Library of Virtual Manipulatives
 * Algebra: Function Machine, Function Transformations
 * Graphing calculators
 * TI CBR (Data Collection Device used with TI 84) to explore slope


 * Games **


 * Videos **
 * Discovery Learning @http://www.discoveryeducation.com/


 * SMART Board Lessons, Promethean Lessons **
 * Smartboard Resource Website Smartboard lesson search engine


 * Websites **
 * @http://illustrativemathematics.org/standards/k8 PARCC Online (released items)
 * http://www.khanacademy.org Online tutorials
 * @http://www.tli.net/ TLI Quiz Builder


 * Other Activities, etc. **

Language Arts ||=  ||=   ||= Week 1 ||= Week 2 ||= Week 3 ||= Week 4 ||= Week 5 ||= Week 6 || Week 7 || Week 8 || Matrix ||=  ||= Week 1 ||= Week 2 ||= Week 3 ||= Week 4 ||= Week 5 ||= Week 6 || Week 7 || Week 8 || Home K-2 ||= Home 3-6 ||= Home 6-8 ||= Unit 1 ||= Unit 2 ||= Unit 3 ||= Unit 4 ||= Unit 5 ||= Unit 6 ||  ||   ||
 * = English
 * = Math ||= [[image:Actions-insert-table-icon.png link="@http://inst.pcssd.org/math/CCSS/8/Math8TeachingMatrix.xls"]]
 * = [[image:PCSSDlogo.JPG link="commoncorepcssd/PCSSD"]]