Virginia Department of Education
Linear Modeling
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
West Contra Costa Unified School District
Shifting Linear Equations in Function Notation
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
Shodor Education Foundation
Multiple Linear Regression
You'll have no regrets when you use the perfect lesson to teach regression! An interactive resource has individuals manipulate the slope and y-intercept of a line to match a set of data. Learners practice data sets with both positive and...
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
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...
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
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.
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
Shodor Education Foundation
Linear Inequalities
An interactive lesson helps individuals learn to graph inequalities in two variables. Scholars can adjust the interactive to present the inequalities in standard or slope-intercept form.
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 in a...
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
Linear Equations in Our Every Day World!
In this linear equations worksheet, high schoolers read and interpret graphed linear equations. They read a story problem, write a linear equation, and plot the points on a coordinate plane. This five-page worksheet cotnains 12 problems.
CK-12 Foundation
Intercepts and the Cover-Up Method: The Hidden Zeros
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...
CK-12 Foundation
Slope-Intercept Form of Linear Equations: Cable Car Tracks
Get on track to learn about slope-intercept form. Scholars use an interactive to position a line along the tracks of cable car. Applying knowledge of slope and intercepts, they write the slope-intercept form of the equation for the line.
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...
West Contra Costa Unified School District
Comparing Linear and Quadratic Functions
If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.
Curated OER
US Airports, Assessment Variation
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Ed Migliore
Linear Equations in Two Variables
This traditional textbook style unit includes vocabulary, a direct explanation section, examples, practice problems that directly line up with the explanations and examples, and a unit summary review and practice problems. Learners get...
Curated OER
Graphing Linear Equations on the TI-73
Eighth graders work in pairs with a TI-73 graphing calculator to complete a multiple-choice review using the Classroom Performance System. Each team uses a remote unit to "click in" the answers. When all teams have completed the review,...
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
CK-12 Foundation
Intercepts by Substitution: Finding a Linear Product Using a Quadratic
Discover another way to interpret multiplication. Using an interactive, learners slide points (representing the factors of multiplication) along the x-axis of the graph of y = x^2 and observe changes in the line segment connecting the...
CK-12 Foundation
Standard Form of Linear Equations: Seesaw
Don't hem and haw, learn about equations using a seesaw. An easy-to-use interactive has pupils move a seesaw on a coordinate plane to investigate the standard form of a linear equation. By completing a set of challenge questions, they...