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 from...
West Contra Costa Unified School District
Connecting Arithmetic Sequences to Linear Equations
Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic sequences...
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 equation...
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...
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...
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...
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...
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...
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 taken to discuss...
EngageNY
Some Facts About Graphs of Linear Equations in Two Variables
Develop another way to find the equation of a line. The instructional activity 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.
Willow Tree
Graphing
So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
CK-12 Foundation
Linear Equations: Temperature Transitions
Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the y-intercept.
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...
Virginia Department of Education
Equations of Lines
Scholars connect slope-intercept form and standard form to the values of m and b by first matching a set of cards that have slope-intercept form, standard form, values of m, values of b, and graphs of linear equations. They then play a...
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...
Illustrative Mathematics
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
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.
Virginia Department of Education
Slope-2-Slope
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
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...
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...
Willow Tree
Parallel and Perpendicular Lines
Enhance your class's understanding of linear equations by extending their study to parallel and perpendicular lines. Young mathematicians learn the relationship between the slopes of parallel and perpendicular lines. They then use that...
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 line using...