Lesson Plan
EngageNY

Solution Sets to Equations with Two Variables

For Students 9th - 10th Standards
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...
Lesson Plan
1
1
Illustrative Mathematics

The Intersection of Two Lines

For Teachers 7th - 9th Standards
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...
Lesson Plan
Curated OER

Linear Inequalities in Two Variables

For Teachers 9th - 12th Standards
Graph and solve linear equations in two variables. The class relates the concepts of linear equations to the real world.
Lesson Plan
EngageNY

The Graph of a Linear Equation in Two Variables

For Teachers 8th Standards
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
Lesson Plan
Curated OER

Two Variable Linear Equations

For Teachers 9th - 10th
Everything you need to teach a lesson on two variable linear equations is right here. Objective, vocabulary, tech tips videos, and multiple downloadable files are all included. Learners will use the TI-Nspire technology to determine the...
Lesson Plan
Curated OER

Graphing and Interpreting Linear Equations in Two Variables

For Teachers 7th - 9th
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
Lesson Plan
EngageNY

Linear Equations in Two Variables

For Teachers 8th Standards
Create tables of solutions of linear equations. A lesson has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph. 
Lesson Plan
EngageNY

The Graph of a Linear Equation in Two Variables Is a Line

For Teachers 8th Standards
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...
Lesson Plan
Illustrative Mathematics

Two Lines

For Teachers 7th - 9th Standards
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
Lesson Plan
Curated OER

Linear Inequalities in One and Two Variables: Rays and Half Planes

For Teachers 9th - 12th Standards
Define rays and half planes, including the concepts of boundary lines and prerequisite knowledge of coordinate planes. Given linear inequalities in one and two variables, your class will compare the differences. They will also graph...
Lesson Plan
EngageNY

Linear Systems in Three Variables

For Students 10th - 12th Standards
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Lesson Plan
EngageNY

Some Facts About Graphs of Linear Equations in Two Variables

For Teachers 8th Standards
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.
Lesson Plan
Curated OER

Graphing Linear Equations with Two Variables

For Teachers 9th - 11th
Can your class solve linear equations in two variables? They will be able to after they engage in this lesson. Individuals graph linear equations in two variables using slope and intercept and identifying the relationship between the x...
Lesson Plan
Curated OER

Two-Variable Linear Inequalities

For Teachers 9th - 11th
Here is an engaging lesson 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.
Lesson Plan
Mathematics Assessment Project

Solving Linear Equations in Two Variables

For Teachers 9th - 12th Standards
Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...
Lesson Plan
Illustrative Mathematics

Sore Throats, Variation 2

For Teachers 6th - 8th Standards
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
Lesson Plan
Illustrative Mathematics

Fixing the Furnace

For Teachers 7th - 9th Standards
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Lesson Plan
Illustrative Mathematics

Chocolate Bar Sales

For Teachers 5th - 7th Standards
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Lesson Plan
EngageNY

Every Line is a Graph of a Linear Equation

For Teachers 8th Standards
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...
Lesson Plan
1
1
Mathematics Assessment Project

Solving Linear Equations in One Variable

For Teachers 7th - 9th Standards
A thorough and professional appearance characterizes a lesson on linear equations. Maturing mathematicians are taught to identify and exemplify linear equations with a single variable. They also classify equations according to the number...
Lesson Plan
Curated OER

Solving Equations Using Two Operations

For Teachers 5th - 7th
Need more detail in showing your class how to solve two-step equations and proportions? This lesson plan outlines the steps young mathematicians need to solve simple equations and check their results. 
Lesson Plan
Curated OER

Correlation of Variables by Graphing

For Teachers 7th - 10th
Middle and high schoolers use a spreadsheet to graph data. In this graphing lesson, learners determine how two parameters are correlated. They create a scatter plot graph using a computer spreadsheet.
Lesson Plan
Willow Tree

Solving Equations and Inequalities with Absolute Value

For Students 8th - 11th Standards
The concept of absolute value can be difficult for learners to grasp. Reinforce their understanding of a basic absolute value expression and connect it to solving equations and inequalities. Scholars write two equations/inequalities to...
Lesson Plan
Curated OER

Graphing Systems of Inequalities

For Teachers 9th - 12th
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.

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