Linear Functions (LF1): 8.FA.1, 8.FA.2, 8.FA.3, HSF.BF.A.1.A...

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Courage To Core
Grade Levels
7th - 10th, Homeschool
Formats Included
  • Zip
14 pages
Courage To Core


Linear functions provide a great introduction to function concepts of input and output as well as giving students insight into the relationship between tables, equations and graphs. This mission is aligned with Common Core State Standards: 8.FA.1, 8.FA.2, 8.FA.3, HSF.BF.A.1.A, HSA.CED.A.1, HSA.CED.A.2.

The fun stuff:
Magic genies! They take your candies and then return a different amount, sometimes more (yaay!), sometimes less (boo!). Why? How? Because they are functions and they do arithmetic! First, lines are functions, then lines are geometric objects. Modeling with genies gives students a context for tables, graphs, equations, and developing questions that inspire them to write and solve equations! Profound and fundamental!

The zip file includes:
★The mission. (12 pages).
★A two-page Quick Start guide for teachers. Detailed and helpful!
★Selected Answers in pdf form.
★Selected Answers online, password protected. For students to correct at home!

The mission includes:
•Using the genie scenario to develop expressions, tables and graphs.
•Developing essential questions: For what input do two genies return the same value?
•Evaluating the output of functions for various inputs.
•Differences and similarities between different linear functions.
•More essential questions: What input produces a particular output? Etc.
•Answering questions about functions from tables, graphs or equations.

Check my awesome bundles as well! Engaging, entertaining and effective:
The Incomparable Number Sense Bundle from Courage To Core
The Excellent Expressions and Equations Bundle from Courage To Core
The Exhilarating Linear Functions Bundle from Courage To Core
The Daring Data and Statistics Bundle from Courage To Core

About Courage To Core:
We all have an innate curiosity about how the world works. We are wired to experiment at the edges of our knowledge, to look for patterns and to draw conclusions. Mistakes are the welcome surprises which help us refine the experiment. In a student-centered classroom, students collaborate to ask questions, gather data, interpret results and articulate understanding. Success at the edge of knowledge demands persistence and creativity. Courage To Core provides a context for students to work together to become the agents of their success and the owners of their cognition. If you like Courage To Core, please give me a positive rating to help me get started on TpT. You get credits towards future TpT purchases with every rating you give! Just revisit the purchased item in my store and scroll down to star me! Thanks!
Total Pages
14 pages
Answer Key
Teaching Duration
3 days
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to see state-specific standards (only available in the US).
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Interpret the equation 𝘺 = 𝘮𝘹 + 𝘣 as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function 𝘈 = 𝑠² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Create equations and inequalities in one variable and use them to solve problems.
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.


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