EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Curated OER
Who Shares My Function? - Linear with Negative and Fractional Slope
Students investigate linear functions with negative and fractional slopes. In this linear functions with negative and fractional slopes instructional activity, students match a linear equation or chart of values with the...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
EngageNY
Solution Sets to Simultaneous Equations (part 1)
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
Curated OER
Modeling Linear Relationships
Students graph lines using the slope and y-intercept. In this algebra instructional activity, students create data using tables and equations. They use their data to make predictions and draw conclusion.
Curated OER
Linear Functions: Slope, Graphs, and Models
This math packet provides an opportunity for learners to graph two linear equations on a coordinate grid and determine the slope and y-intercept of each. They use the equation of five lines to find the slope and y-intercepts, and then...
Curated OER
Applying Properties to Variables
Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...
Curated OER
Solar Kit Lesson # 12 - Calibration Curve for a Radiation Meter
Scientists need to have mastered algebraic slope-intercept concepts in order for this instructional activity to be effective. They will measure and graph solar panel output as a function of the amount of radiation striking it,...
Alabama Learning Exchange
Writing Equations for Parallel Lines
Acquaint your class with the concept of parallel lines. Learners watch a PowerPoint presentation about how to write equations of parallel lines. Their understanding of linear equations and slope is taken a step further by the...
EngageNY
Representations of a Line
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
Wordpress
Introduction to Exponential Functions
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...
Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
West Contra Costa Unified School District
Graphing Family of Functions
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
Curated OER
Linear Functions
Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
Curated OER
Comparing Value for Money: Baseball Jerseys
Learners step up to the plate as they first complete an assessment task using linear equations to determine the best company from which to buy baseball jerseys. They then evaluate provided sample responses identifying strengths and...
Curated OER
Solving multi-step inequalities and solving systems by elimination
Students solve multi-step equations and apply the process of elimination. In this algebra lesson, students solve linear inequalities and equations using linear combination and evaluation. They graph their results on a number line...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
EngageNY
Two Graphing Stories
Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Curated OER
Linear Equations Project Fram
Students engage in a lesson that focuses on the concept of linear equations. They practice solving problems with a variety of problems and graphing the solution set for each. Students write a summary paragraph about two methods of...
Curated OER
Constructing and Solving Linear Equations
Students construct and solve linear equations. In this algebra lesson, students solve equations and graph lines using the slope. They identify the different parts of an equation including the leading coefficient.
Curated OER
Which Method Will You Choose? Finding Solutions to Systems of Equations.
Ninth graders investigate systems of linear equations. For this Algebra I lesson, 9th graders determine which method is the best for solving a systems: graphing, substitution, or elimination. Students choose...
Curated OER
Systems of Linear Equations - Standard Form
Students write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard form and...