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

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 lesson 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 finishes...
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
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...
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
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
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

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...
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...
Lesson Plan
Illustrative Mathematics

Find the Change

For Teachers 7th - 9th Standards
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...
Lesson Plan
Annenberg Foundation

Skeeters Are Overrunning the World

For Teachers 8th - 10th Standards
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Lesson Plan
Curated OER

Walk-A-Thon

For Teachers 7th - 9th
Students graph linear http://www.activityplanet.com/review?id=180542equations. In this problem solving activity, students calculate slope and plot ordered pairs on a coordinate grid. Using a real-life example of a walk-a-thon, students...
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
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Lesson Plan
Curated OER

Interpreting Graphs

For Teachers 6th - 8th
Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.
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...
Lesson Plan
Curated OER

Spaghetti Graphs

For Teachers 8th - 9th
Students work in pairs to test the strength of spaghetti strands. They collect and graph data to determine a line of best fit. Students create a linear equation to interpret their data. Based on the data collected, students predict...
Lesson Plan
Curated OER

Making Money and Spreading the Flu!

For Teachers 9th - 11th Standards
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...
Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Lesson Plan
Illustrative Mathematics

How Many Solutions?

For Teachers 7th - 9th Standards
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Unit Plan
Mathematics Vision Project

Connecting Algebra and Geometry

For Teachers 9th - 10th Standards
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...