Curated OER
Graphing Linear Equations
In this math worksheet, middle schoolers practice graphing the solutions to the linear equations. They pay special attention to the slope and y intercepts.
EngageNY
The Slope of a Non-Vertical Line
This lesson plan introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
Mathematics Vision Project
Linear and Exponential Functions
Provide a continuous progression to linear and exponential functions. Pupils continue to work with the discrete functions known as sequences to the broader linear and exponential functions. The second unit in a series of nine provides...
University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
Curated OER
Linear Inequalities - Parallelogram Problem
Students use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the results on...
Curated OER
Academic Grade 9 Assessment of Mathematics: Algebra I and Geometry
Test your class, or use this 12 page math packet as chapter review. They solve 21 multiple choice problems which require them to graph linear equations, find the volume of prisms and cones, find unknown angles, and determine...
CK-12 Foundation
Comparing Equation of Parallel and Perpendicular Lines: Parallel and Perpendicular Lines
It seems perpendicular lines have slopes which follow a specific rule. Scholars use an interactive to investigate this rule by moving a pair of lines on a coordinate plane. They find that perpendicular lines have slopes that are opposite...
CK-12 Foundation
Slope-Intercept Form: Mountain Train
Hop aboard to learn about the slope-intercept form. Young mathematicians use an interactive to adjust the path a train takes up a mountain. A set of challenge questions helps them see the connection between key features and the...
Radford University
Finding Slope
The class takes a trip about the school and find four places to measure the rise and run of objects that represent slope in the building. Pairs work together to calculate the slope of each object and determine whether any ramp they find...
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
8th Grade Math Worksheet
In this linear equations learning exercise, 8th graders solve 10 different problems that include various types of linear equations. First, they write the distance between Venus and the Sun in scientific notation. Then, students determine...
Curated OER
Two-Variable Linear Inequalities
Here is an engaging lesson plan on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
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...
Curated OER
Systems of Equations: What Method Do You Prefer?
Students explore the concept of solving systems of equations. In this solving systems of equations lesson, students watch YouTube videos about how to solve systems by graphing and by elimination. Students use an interactive website to...
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
5280 Math
Aquarium Equations
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...
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.
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
West Contra Costa Unified School District
Graphing Systems
Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity...
Curated OER
Systems of Equations and Real Life
What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...
Curated OER
The Cartesian Plane
Learners solve and complete 22 various types of problems. First, they find the gradients of the lines and plot the given points. Then, they complete the table of values for each equation and use the table to draw the graph.
Curated OER
Compound Inequalities and Graphing
Put geometry skills to the test! Learners solve compound inequalities and then graph the inequalities on a coordinate plane using their geometric skills. They identify the slope and y-intercept in order to graph correctly. I like this...