Source: Function Machine (License: Protected by Copyright (c) [i.e. screenshot])
Students explore the concept of functions using function machines, data tables, and algebraic rules. They learn how inputs and outputs are related, identify patterns, and represent functions using words, tables, and algebraic expressions. Through collaborative activities and technology-based exploration, students develop foundational algebra skills needed for higher-level mathematics.
Preparation
Check the website to ensure it is not blocked at your site.
Read through the lesson plan.
Print and make copies of any handouts.
Teacher Tips
Begin with simple one-step functions.
Encourage students to explain their reasoning.
Use color-coding to distinguish inputs and outputs.
Reinforce that every input has only one output.
Connect functions to workplace and financial literacy examples whenever possible.
More Ways
Name That Function Game
Students compete to identify function rules after viewing only a few input-output pairs.
Career Connection
Explore how functions are used in:
Business
Healthcare
Construction
Technology
Extension
Introduce nonlinear functions such as:
y = x²
and compare them to linear functions.
Program Areas
ASE: High School Equivalency Preparation
ASE: High School Diploma
View Lesson Plan
Warm-up
Engagement
Mystery Machine
Display:
Input Output 1 3 2 6 3 9
Ask:
What pattern do you notice?
What might the machine be doing?
Students work with a partner to predict additional outputs.
Introduction
Enhancement
What Is a Function?
Introduce the concept of a function as a "machine."
Explain:
Input → Rule → Output
Discuss key terms:
Function
Input
Output
Variable
Independent Variable
Dependent Variable
Show examples:
Input (x) Output (y) 1 2 2 4 3 6
Explain that each input has exactly one output.
Presentation
Teacher Modeling
Demonstrate several function machines.
Examples:
Add 2
Multiply by 3
Subtract 4
Create tables of values and model how to write the rule.
Example:
Input Output 1 4 2 5 3 6
Rule:
y = x + 3
Students practice identifying the rule.
Practice
Engagement Enhancement
Build a Function Machine
Students work in pairs.
Each pair creates a function rule and builds a table of values.
Students exchange tables with another pair and try to determine the hidden rule.
CC BY: This license allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as
attribution is given to the creator. The license allows for commercial use.
View Conditions
Acceptable Uses
Educational and Personal Use: Users are encouraged to utilize Interactivate resources for personal learning, classroom instruction, and educational enrichment.
Non-Commercial Sharing: Educators and learners may share links to Interactivate activities and materials for non-commercial educational purposes, ensuring that the content remains unaltered and properly attributed.
Integration into Curriculum: Teachers can incorporate Interactivate tools and lessons into their curriculum to support interactive, inquiry-based learning.
View AI Reference
AI was used to write this activity in the WIPPEA format
