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
EngageNY

The Graph of a Linear Equation—Horizontal and Vertical Lines

For Teachers 8th Standards
Graph linear equations in standard form with one coefficient equal to zero. The lesson plan reviews graphing lines in standard form and moves to having y-coefficient zero. Pupils determine the orientation of the line and, through a...
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
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
EngageNY

Nature of Solutions of a System of Linear Equations

For Teachers 8th Standards
If at first you cannot graph, substitute. The instructional activity 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...
Lesson Plan
EngageNY

Linear Equations in Two Variables

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

Proportional Relationships, Lines, and Linear Equations

For Teachers 7th - 9th Standards
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...
Lesson Plan
Illustrative Mathematics

Comparing Speeds in Graphs and Equations

For Teachers 7th - 9th Standards
Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question. 
Printables
Blogger

Standard Form of a Linear Equation

For Teachers 7th - 9th
Organize your learners with this well-laid-out note-taking printable. Note blanks are organized to allow for two strategies of graphing an equation given in standard form. 
Lesson Plan
EngageNY

Geometric Interpretations of the Solutions of a Linear System

For Teachers 8th Standards
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
Lesson Plan
Illustrative Mathematics

Do Two Points Always Determine a Linear Function?

For Teachers 9th - 12th Standards
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Assessment
2
2
Illustrative Mathematics

Cell Phone Plans

For Teachers 8th Standards
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
Unit Plan
Mathematics Vision Project

Systems of Equations and Inequalities

For Teachers 9th - 10th Standards
It's raining (systems of) cats and dogs! The fifth unit in a nine-part course presents systems of equations and inequalities within the context of pets. Scholars use systems of inequalities to represent constraints within situations...
Lesson Plan
Illustrative Mathematics

Who Has the Best Job?

For Teachers 7th - 9th Standards
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
Lesson Plan
EduGAINs

Introduction to Solving Linear Systems

For Teachers 8th - 11th Standards
Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there...
Unit Plan
Mathematics Vision Project

Equations and Inequalities

For Teachers 9th - 10th Standards
Help learners get their facts in line to build and solve complicated linear equations and inequalities. Pupils build upon their knowledge of solving basic equations and inequalities to solve more complex ones. Individuals work with...
Lesson Plan
Curated OER

Exploring Linear Equations And Scatter Plots - Chapter 5 Review

For Teachers 6th - 7th
Learners complete rolling stocks experiment, and collect and enter data on the computer. They enter data on graphing calculators, complete scatter plot by hand with line of best fit, and discuss different graphing methods.
Lesson Plan
Curated OER

Do Two Points Always Determine a Linear Function II?

For Teachers 9th - 12th Standards
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
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
Mathematics Assessment Project

Classifying Solutions to Systems of Equations

For Teachers 8th Standards
Double the fun of solving a linear equation with an activity that asks learners to first compete an assessment task graphing two linear equations to find the common solution. They then complete a card activity solving systems of...
Lesson Plan
EngageNY

Another Computational Model of Solving a Linear System

For Teachers 8th Standards
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
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.
Printables
Google

Solving Systems of Equations Foldable

For Teachers 8th - 11th Standards
Two of the strategies for solving systems of linear equations are represented in this foldable: substitution and elimination. Learners solve three examples of each. 
Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...

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