Lesson Plan
Illustrative Mathematics

Summer Swimming

For Teachers 7th - 9th Standards
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
Lesson Plan
Utah Education Network (UEN)

Linear Graphs Using Proportions and Rates

For Teachers 6th - 8th Standards
Using a TI-73 or other similar graphing calculator middle school math majors investigate the linear relationship of equivalent proportions. After a brief introduction by the teacher, class members participate in a timed pair share...
Lesson Plan
Curated OER

Solving multi-step inequalities and solving systems by elimination

For Teachers 8th - 11th
Students solve multi-step equations and apply the process of elimination. In this algebra lesson, students solve linear inequalities and equations using linear combination and evaluation. They graph their results on a number line...
Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
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...
Lesson Plan
Curated OER

Calculate the Slope of a Line Using Two Points

For Teachers 8th - 11th Standards
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 7 Mathematics Module 3

For Students 7th Standards
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...
Worksheet
Math Worksheets 4 Kids

Point of Intersection Worksheet 2

For Students 8th - 10th Standards
Math wizards rewrite pairs of linear equations in the y-intercept form and graph them on a coordinate plane. They identify where the lines cross, i.e. the point of intersection. There are four questions with coordinate planes for drawing...
Lesson Plan
Curated OER

The Slope of a Line

For Teachers 9th - 12th
Young scholars define the slope of a line as rate of change. They investigate positive, negative, zero, or undefined slope using a graphing calculator. They determine the slope of a line when given the equation of the line.
Worksheet
Curated OER

Review of Linear Equations

For Students 9th - 10th
In this algebra worksheet, students solve linear equations and rewrite them in the form y=mx + b. They graph the equations using the slope and y-intercept. There are 22 questions with an answer key.
Worksheet
Curated OER

The Intercepts of a Line

For Students 9th - 11th
In this algebra worksheet, students  calculate the slope and intercept of a line given an equation.  There are 8 questions with an answer key.
Lesson Plan
Curated OER

Analyzing Equations Through Slope and Y intercepts

For Teachers 9th - 10th
Young scholars analyze equations using the slopes and intercept. In this algebra lesson, students graph equations give the slope and y intercepts. They are also asked to identify the slope and y intercept from a given graph. They solve...
Worksheet
Curated OER

Linear Equations

For Students 8th
In this Algebra I worksheet, 8th graders write the equation of a line given two points and given a linear equation determine the slope, x-intercept, y-intercept, and graph the line.  The five page worksheet contains ten...
Worksheet
Curated OER

How to Find the Equations of Parallel Lines

For Students 8th - 9th
In this parallel lines worksheet, students determine equations of parallel lines and graph parallel lines.  Examples, explanations, and solutions are provided.
Worksheet
Curated OER

Linear Equations

For Students 7th - 12th
In this Algebra I worksheet, students determine the graph of the equation of a line.    Students determine the x- and y-intercepts and graph. The three page worksheet contains six problems. Answers are not...
Worksheet
Curated OER

Chapter 2.3 - Slope

For Students 7th - 9th
In this slope instructional activity, learners answer 16 slope intercept questions. They determine slopes based on equations, graphs and coordinates. Students also find the equations of lines parallel and perpendicular to a given line...
Worksheet
Curated OER

Linear Graphs and Equations

For Students 7th - 8th
In this linear graph and equations instructional activity, students calculate the gradient of slopes, and find equations of lines in patterns.
Worksheet
Curated OER

Independent Practice 2: Graphing Lines by Graphing Two Points

For Students 9th - 10th
In this graphing lines worksheet, students solve linear equations and then graph the points on the line. This one-page worksheet contains six problems with a coordinate plane provided for each one.
Worksheet
Curated OER

Linear Equations

For Students 9th
In this Algebra I worksheet, 9th graders write the equation of a line given a point and the slope and write the equation given a graph. The two page worksheet contains fourteen problems. Answers are not provided. 
Lesson Plan
Curated OER

Graphing Systems of Equations - Word Problemsr

For Teachers 8th - 10th
Young scholars solve word problems which involve graphing systems of equations. After discussing methods of solving word problems, the teacher demonstrates how to solve problems which involve graphing. They work together, at their...
Lesson Plan
Curated OER

Linear Graphs and Patterns

For Teachers 5th
Fifth graders find pairs of whole number co-ordinates and use them to draw graphs in problem contexts. They find and interpret the all meaningful pairs of whole number co-ordinates from graphs.
Worksheet
Curated OER

Graphing

For Students 11th - 12th
In this graphing worksheet, students sketch graphs of given polynomial equations. They draw line graphs to show sign changes in specified forms. This one-page worksheet contains ten problems. Answers are provided at the bottom of the...
Lesson Plan
Curated OER

Functions As Graphs Worksheet

For Teachers 9th - 12th
For this math worksheet, learners graph the data given in the organizer. The functions are used to create the new line for finding the possible unknowns.
Worksheet
Curated OER

Find the Slope-intercept Equation Given a Pair of Points

For Students 8th - 10th
In this graphing learning exercise, student find the slope-intercept equation for six given pairs of points.  Solutions are provided on the last page.
Lesson Plan
Curated OER

Solving Systems by Graphing

For Teachers 9th - 11th
Students solve systems of equation through graphing. In this algebra lesson plan, students solve linear equations and analyze the result to figure out if there is one solution, no solution or infinitely many solutions. They graph their...