Comparing Functions

Resources for Comparing Functions that have been developed for the Algebra for All project are provided below. Use the comments area at the bottom of page to discuss these resources or share additional online resources related to Comparing Functions.

Student Access:

 You do not need to go to the AfA Social Network to access these activities. Students and teachers can access these resources directly by going straight to the urls provided. Simply copy and paste the links given below and provide those links to your students. Click here for more detailed instructions.

The Shapes of Algebra

 Description: In the shapes of Algebra, groups of students graph 4 different functions and identify which function is not like the others. In the process they explore features of tables and graphs of various function families. The activity concludes with a practice section in which students use a variety of representations to identify function families. The online version of the activity includes several automated practice applets to support graphing and identifying function families. http://media.mivu.org/mvu_pd/a4a/resources/shapesofalgebra/index.html
 Graphing Applets: These applets each contain tables for graphing 4 different functions and a graphing tool that creates a graph of each function for comparison. http://media.mivu.org/mvu_pd/a4a/resources/applets/graph_table4_exp1.html Other Groups: Group 1 | Group 2 | Group 3 | Group 4 | Group 5 Practice Applet 1: In this applet students identify which function is not like the others by looking at their equations. http://media.mivu.org/mvu_pd/a4a/resources/applets/practice1.html Practice Applet 2: In this applet students match function rules (equations) to their corresponding table of values. http://media.mivu.org/mvu_pd/a4a/resources/applets/practice2.html Practice Applet 3: In this applet students select the appropriate function rule for a given graph. http://media.mivu.org/mvu_pd/a4a/resources/applets/practice3.html Practice Applet 4: In this applet students sketch the shape of a function given it's equation. http://media.mivu.org/mvu_pd/a4a/resources/applets/practice4.html
 Teacher Video: The Shapes of Algebra: Introduction Teacher Video: The Shapes of Algebra: Wrap-up

Describing Graphs

 Description: In this activity students write the story of a race between four sisters, given a graph of the race. Students also have the opportunity for interactive practice with drawing and interpreting graphs. Finally, there is a practice section in which students identify appropriate graphs for given scenarios. http://media.mivu.org/mvu_pd/a4a/resources/describinggraphs/index.html
 Two Brothers Race Applet: In this applet students interact with a graph of 2 brothers racing cars. Students can draw graphs based on stories, develop stories based on graphs, and experiment with graphs in a "free play" mode. http://media.mivu.org/mvu_pd/a4a/resources/applets/2race.html
 Teacher Video: The Four Sisters Race: Introduction Teacher Video: The Four Sisters Race: Extensions Teacher Video: Graphs and Scenarios: Introduction Teacher Video: Graphs and Scenarios: Extensions

Recursion

 Description: This activity provides an introduction to recursive notation. It includes instruction, as well as interactive practice http://media.mivu.org/mvu_pd/a4a/resources/recursion/index.html
 Recursion Practice 1: Practice identifying patterns and writing recursive notation using frames and arrows. http://media.mivu.org/mvu_pd/a4a/resources/applets/recursion_practice1.html
 Recursion Practice 2: Practice identifying patterns and writing recursive notation using next-now and recursive notation. http://media.mivu.org/mvu_pd/a4a/resources/applets/recursion_practice2.html
 Teacher Video: Recursion

Lilly's Mussels

 Description: Apply a linear and exponential model to a small data set in order to explore the differences in growth pattern, depending on which model is selected. http://media.mivu.org/mvu_pd/a4a/resources/mussels/index.html
 Teacher Video: Lilly's Mussels: Introduction Teacher Video: Lilly's Mussels: Wrap-Up

Comparing Linear and Exponential Models

 Description: In this activity students compare linear and exponential models by listing their characteristics side-by-side in a table. http://media.mivu.org/mvu_pd/a4a/resources/comparelinexp/index.html
 Teacher Video: Comparing Linear And Exponential Functions: Examples

Make Me Rich

 Description: In this activity, students explore a variety of functions through four different payment plans. They must select the best payment plan for different conditions. http://media.mivu.org/mvu_pd/a4a/resources/makemerich/index.html
 Teacher Video: Make Me Rich: Introduction

Categorizing Patterns

 Description: In this activity students explore the characteristics of various function families by comparing the patterns in six different tables of values and identify which type of relationship is shown in each one. http://media.mivu.org/mvu_pd/a4a/resources/categorizingpatterns/index.html
 Teacher Video: Categorizing Patterns: Introduction

General Translations

 Description: In this activity students learn about and practice how to translate functions, and identify translations from equations of functions. http://media.mivu.org/mvu_pd/a4a/resources/translations/index.html
 General Translations Applet: In this applet students practice translating functions by creating graphs of translated functions, or writing functions from given graphs. http://media.mivu.org/mvu_pd/a4a/resources/applets/translations.html
 Teacher Video: General Translations Teacher Video: Function Aerobics

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