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Interactive
Shodor Education Foundation

Function Machine

For Students 6th - 9th Standards
Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...
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Lesson Plan
PBS

From Patterns of Input and Output to Algebraic Equations

For Teachers 4th - 8th Standards
Watch video clips titled, "Frog Hops Part I" and "Frog Hops Part II," then discuss patterns demonstrated in the videos. Learners will complete an algebraic expressions and equations handout and discuss the answers. They will be able to...
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Lesson Plan
Curated OER

Introduction to Graphical and Algebraic Inverses

For Teachers 9th - 11th
Solve inverse functions through graphing and algebra. High schoolers will graph inverse functions and use the correct notation to write the equation. They observe a graph and write an equation for the function. In the end, they will be...
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Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
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Printables
Math Wire

Function Machine

For Teachers 7th - 11th Standards
Provide your mathematicians with a way to organize their algebraic functions with this function machine handout. Each sheet provides a place to write down the rule and then either a t-table or full table to organize their input and output.
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Lesson Plan
EngageNY

Why Stay with Whole Numbers?

For Teachers 9th - 10th Standards
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...
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Lesson Plan
Texas Instruments

Function Notation - Texas Instruments

For Teachers 8th - 10th Standards
Using a TI-Nspire calculator, learners will work to better understand function notation and input/output functions. They write equations with a function symbols, identify what makes an equation a function, and graph lines in order to...
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Lesson Plan
EngageNY

Representing, Naming, and Evaluating Functions (Part 1)

For Teachers 9th - 10th Standards
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range. 
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Assessment
Noyce Foundation

Toy Trains

For Teachers 6th - 7th Standards
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish by developing an algebraic...
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Lesson Plan
Curated OER

What's My Function?

For Teachers 5th - 6th
Pupils use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.
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Lesson Plan
West Contra Costa Unified School District

Evaluating Functions Graphically and Algebraically

For Teachers 8th - 10th Standards
High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.
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Printables
Wordpress

Equation Table Graph

For Teachers 6th - 9th Standards
Your Algebra learners will appreciate this fabulous, two-page printable. The first page has a list of numbers that lead to the learners writing an equation in a cloud that represents these numbers, and then filling in a table, and...
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Worksheet
Curated OER

Worksheet 3.1 Functions

For Students 8th - 11th Standards
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
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Worksheet
Curated OER

Boolean Algebra

For Students 12th - Higher Ed
In this physics instructional activity, students complete circuit true tables and solve 67 questions on Boolean algebra. They identify different logic gate circuits.
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Lesson Plan
Project Maths

Introduction to Patterns

For Teachers 6th - 8th Standards
The world is full of patterns. Help learners quantify those patterns with mathematical representations. The first Algebra activity in a compilation of four uses a series of activities to build the concept of patterns using multiple...
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Interactive
Scholastic

Study Jams! Function Tables

For Students 3rd - 6th Standards
Each week Mia saves a certain portion of the earnings from her babysitting job. Help her figure out how much she can save this week with a step-by-step presentation on function tables. Given a set of inputs and outputs, the process for...
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Lesson Plan
Illustrative Mathematics

Foxes and Rabbits 1

For Teachers 7th - 9th Standards
Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...
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Lesson Plan
Curated OER

Algebra Nomograph

For Teachers 9th - 12th Standards
Investigation of a nomograph teaches students to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Students make a scatter plot of...
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Worksheet
Yummy Math

Diapers

For Students 6th - 9th Standards
Most of your students probably think a car or college is the first big expense their parents could help them with, but as it turns out these kids have been costing their parents for their whole lives. Have they ever considered how much...
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Worksheet
4
4
Flipped Math

Unit 1 Review: Analyze Graphs and Expressions

For Students 9th - 10th Standards
Get in one last practice. Pupils work through 12 problems and a performance task to review the topics in Unit 1. The problems cover analyzing and modeling with graphs, algebraic properties of equality, and adding, subtracting, and...
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Activity
5280 Math

Aquarium Equations

For Teachers 8th - 12th
Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...
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Lesson Plan
Curated OER

Interactivate: Introduction to Functions

For Teachers 7th - 9th
This interactive website provides a variety of lesson plans according to which standards you are applying and which textbook you use. Introduce functions to your class by having them construct single operation machines and create...
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Worksheet
Curated OER

Function Tables

For Students 11th
In this function tables worksheet, 11th graders solve 10 different problems that include completing various function tables. First, they read and identify each rule given for the tables. Then, students use the rule to determine the input...
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Lesson Plan
Curated OER

Monster Frog Function Machine

For Teachers 3rd - 5th
Elementary schoolers use a function machine in order to help them look at the relationship between input and output, and to look at the rule for the change. The machine is actually a cardboard box, and it serves quite well for the...

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