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

Solving a Linear Equation

For Teachers 8th Standards
Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson presents linear equations that scholars must...
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...
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...
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

An Application of Linear Equations

For Teachers 8th Standards
Just how far will the Facebook post go? Lead a discussion on how to manipulate the sum of a geometric series to figure out a formula to find the sum at any step. The plan contains an alternative to the discussion with more...
Lesson Plan
Curated OER

Applying Properties to Variables

For Teachers 8th
Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...
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
EngageNY

Solving Equations Using Algebra 2

For Teachers 7th Standards
If you use a fabulous lesson plan, then your pupils can become fabulous at solving equations. The 24th installment of 25 incorporates the use of if-then statements to illustrate the properties of equality used in solving two-step linear...
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
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

The Yo-Yo Problem: Solving Linear Equations

For Teachers 8th - 10th
Students compute the length of time it will take to save enough money to purchase a yo-yo. For this math lesson, students create a design with pennies and write the associated linear equation. In this linear equations lesson, students...
Lesson Plan
EngageNY

Solving Equations Using Algebra

For Teachers 7th Standards
Use a tape diagram to emulate the steps of solving equations. The 23rd installment in a 25-part unit presents two-step linear equation problems to solve. Pupils use tape diagrams to solve the problems along with linear equations. To...
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
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
Illustrative Mathematics

Coffee by the Pound

For Teachers 7th - 9th Standards
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,...
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. 
Lesson Plan
EngageNY

Using If-Then Moves in Solving Equations

For Teachers 7th Standards
In the eighth activity in a series of 28, math scholars justify the steps of solving algebraic equations. They solve linear equations through an analysis of equality properties, write each equation from a problem situation, and then...
Unit Plan
Mathematics Vision Project

Linear and Exponential Functions

For Teachers 9th - 10th Standards
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...
Lesson Plan
K20 LEARN

Invest Systematically

For Teachers 10th - 11th Standards
Can you make money from math? Young mathematicians match real-world applications to systems of linear equations. In groups, they investigate investment strategies by writing systems of linear equations which helps them determine which...
Lesson Plan
Curated OER

In the Billions and Linear Modeling

For Teachers 9th - 12th Standards
Your learners analyze population data to discern if it best fits a linear scenario. The idea of change by equal differences over equal intervals is enforced in this real-life task. 
Lesson Plan
EngageNY

Word Problems

For Teachers 8th Standards
Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...
Lesson Plan
1
1
Curated OER

Equal Differences Over Equal Intervals 2

For Teachers 9th - 12th Standards
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
Lesson Plan
Illustrative Mathematics

Paying the Rent

For Teachers 8th - 12th Standards
Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...