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Topic 5: Functions


Goals and Problem Sets Handout

Goal 1:  Relate patterns, tables, function rules, and graphs (Overarching goal of whole chapter)

Required tasks/resources Optional tasks/resources
Video: The Spreadsheet as a Calculation Tool (16 min) GSP activity: Length of the Koch Curve (extension)
"The Cube Sticker Problem" handout  
"Falling Leaves" problem and other Math Forum PoWs  
Step Patterns Activity  
 All problem sets: Throughout Chapter 5, keep thinking about how to express each function using any combination of the representations listed in this goal.  


Goal 2:   Analyze and sketch graphs that represent changes over time. (5-1) 

Required tasks/resources  Optional tasks/resources
Voter Turnout problem  Relating Graphs to Events computer activity
Mellow Yellow GSP activity  
Problem Set: 5-1  


Goal 3:  Use function vocabulary (all the terms on the "Function Vocabulary" handout)
Goal 4:   Read and use “f(x)” [pronounced, “f of x”] notation (5-2)
Goal 5:  Decide whether a relation is a function or not (5-2)
Goal 6:  Calculate range values for given domain values (5-2)

Required tasks/resources Optional tasks/resources
Function Vocabulary handout Textbook pp. 236 - 237 and Glossary
Video: Function Vocabulary (22 min)  Veritcal Line Test game
Problem set: 5-2  


Goal 7:  Graph functions (5-3)
·   Graph a function given a table or an equation
·   Choose useful domain values, axis ranges, and scale
Reminder:  All graphs are to be done on graph paper.  You can download graph paper here

Required tasks/resources  Optional tasks/resources
 Video: Graphing Equations (28 min)  Textbook pp. 247 - 249
Graphing Functions Help Sheet/Checklist  Coordinate review: Catch the Fly game
 Problem Set: 5-3  


Goal 8:  Write a function rule given a context and/or data (a word problem, tables or lists of values, etc.) (5-4)

Required tasks/resources  Optional tasks/resources
The Function Rule Game Online function game:
Function Finder activity Textbook pp. 254 - 255
 Problem Set: 5-4  


Extension: Use a spreadsheet to perform repeated calculations and to enter formulas

 Video: The Spreadsheet as a Calculation Tool (16 min)


Topic Summary

 Required tasks/resources

Visual Patterns Game

Problem Set: Chapter Test Assignment

 Optional tasks/resources