Charleston School District
Graphs of Linear Functions
What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs.
Mathematics Vision Project
Module 1: Functions and Their Inverses
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
Charleston School District
Equations of Linear Functions
Teaching linear function relationships using contextual information is beneficial to pupils' understanding. The lesson uses problem solving to build linear functions given different information for each problem. This is the second...
Charleston School District
Review Unit 4: Linear Functions
It's time to show what they know! An assessment review concludes a five-part series about linear functions. It covers all concepts featured throughout the unit, including linear equations, graphs, tables, and problem solving.
Curated OER
Piecewise Linear Functions: Extending Stories to Graphs
Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...
Mathematics Vision Project
Module 1: Functions and Their Inverses
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
Balanced Assessment
Garages and Phones
Examine and compare a linear and step function. The task provides two scenarios, one modeled by a linear function and the other a step function. Pupils create a graph for each and explain how each compares to the other.
CK-12 Foundation
Linear, Quadratic, and Cubic Models: The Box Model
Models make math manageable. Individuals investigate a cubic function that models the volume of a cube through the interactive.
Shodor Education Foundation
Linear Function Machine
What goes in must come out! Learners play with a function machine to determine the correct function. They enter input values and watch as the machine produces the output.
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson of this 25-part module. Using the Pythagorean Theorem, scholars collect data on the...
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
University of Utah
Functions
Define, explore, compare, and analyze functions with the fourth chapter of a 10-part eighth-grade workbook series. After encountering the definition of a function, pupils begin to explore linear and nonlinear functions. They then...
Concord Consortium
Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 6
Test your knowledge of linear functions and models. The last installment of a 16-part module is an end-of-module assessment task. Pupils solve multi-part problems on bivariate data based on real-world situations to review concepts from...
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Flipped Math
Linear vs. Exponential
Linear or exponential?. Learners watch an informative video comparing situations that may be modeled by either a linear or exponential relationship. Pupils determine the type of relationship and then create a function that models the...
Charleston School District
Review Unit 3: Functions
Time to show what you know about functions! The review concludes a series of nine lessons on the basics of functions. The problems included are modeled from the previous lessons. Pupils determine if a table represents a function,...
Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
Virginia Department of Education
Graphing Linear Equations
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.