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Comparing Functions: Function Sleuthing to Find Rules

Title	Comparing Functions: Function Sleuthing to Find Rules
Description	This should take place after a good amount of exploration of the multiple representations of functions (graphs, tables, rules, explicit & recursive sentences) but before the abstraction of writing an algebraic linear rule has been mastered. Students should be familiar with comparing growth rates (including increasing and decreasing trends) as well as initial values of different linear functions. Content Objectives: Students will use a table or graph to construct an equivalent function rule. Students will be able to compare two functions represented graphically and numerically in tables. Students will use their own words to complete the sentence frames (below) to describe the growth of two functions: Recursive: To find the next output, use the output before and ________. Explicit: To find each output, use the input and ________.
Subject	Mathematics
Level	High School, Middle School
Type	Guided Activity
Duration	90 minutes
Answers Included	No
Language	English
Keywords	algebra, equation, explicit, graph, pattern, recursive, rule, slope, table
Simulation(s)	Function Builder (HTML5)