Teach Engineering
Forms of Linear Equations
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting...
BW Walch
Solving Systems of Linear Equations
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
CK-12 Foundation
Graphs of Linear Systems: Star Lines
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
CK-12 Foundation
Forms of Linear Equations: Equation Exploration
Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson plan 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...
Curated OER
Review Linear Equations
Explore algebra I/algebra II with this series of worksheets. Pupils write linear equations in slope-intercept and standard form, graph linear equations, and apply linear equations to real world applications. The six-page worksheet...
Ohio Literacy Resource Center
Solving Systems of Linear Equations Graphing
Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet,...
Google
Write a Linear Equation Foldable
Simplicity and organization accompany the learning of linear equations in this handy foldable. Step by step, learners write a linear equation given two points, and then write a linear equation when given a graph. The point-slope...
Willow Tree
Equations of a Line
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous lesson in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the equation of a...
Curated OER
Writing Linear Equations in Slope-Intercept Form
In this writing linear equations instructional activity, students find the x- and y-intercepts of 4 equations. Students then write equations for 4 problems given the slope and y-intercepts. Additionally, students rewrite 4 standard form...
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...
PHET
Graphing Lines
Ready to increase pupils' understanding of slope with an upward slope? Scholars use an interactive that allows users to move two points on a coordinate plane. The interactive then automatically calculates the slope, the slope-intercept...
Curated OER
Cups & Chips - Solving Linear Equations Using Manipulatives
Algebra students use manipulatives to solve linear equations. They use manipulatives, symbolic methods, and substitution to demonstrate each algebraic solution.
Curated OER
Graphing Lines by Graphing Two Points
Use a graphing lines worksheet to have your mathematicians graph the line of a given equation and plot specified points. The first 10 problems have a given equation, and two values. The next 10 problems have a given equation, but your...
West Contra Costa Unified School District
Three Forms of an Equation of a Line
An equation is an equation is an equation. Scholars see there are many ways to solve them when they first sort a set of linear equations as written in standard form, point-slope form, or slope-intercept. They then write equations in all...
Wordpress
I Can Find Slope
Your young mathematicians will appreciate this wonderfully organized summary and explanation of linear slope. Approaching slope as it looks in a table of values, on a graph, in an equation, and between two points, this note sheet is...
Curated OER
Graphing Lines That Don't "Fit"
How can you graph lines that don't seem to fit on the given graph? What makes a line straight? What does the rate of change mean when graphing a line? How do you know if a slope is positive or negative? How do you know if the graph of a...
Curated OER
Graphing Linear Equations Cards
OK, so maybe graphing linear equations can be fun. This activity includes a set of linear equation cards to be cut and place face up on a table. Learners pick a card and match it to the correct graph card. This is a really fun way to...
BW Walch
Creating and Graphing Linear Equations in Two Variables
This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is...
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.
EngageNY
Some Facts About Graphs of Linear Equations in Two Variables
Develop another way to find the equation of a line. The lesson introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...
EngageNY
Linear Equations in Disguise
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...