EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 5
Give your class a chance to show how much they've learned in the module with an end-of-module assessment task that covers all topics from the module including linear and non-linear functions and volumes of cones, cylinders, and...
Virginia Department of Education
Matching Representations
Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...
Bowland
Problem Page
Future mathematicians use a given graph to answer a question about age differences in relationships. Along the way, they must find the equation and inequality of given graphs.
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
Curated OER
Explore Subtraction
Learnersare given 26 tables and graphs in which they must fill in missing numbers and graph equations. They subtract a given value of x from a constant number, and use a number line to subtract larger numbers from smaller ones resulting...
Curated OER
Chairs Around the Table
Youngsters become flexible problem solvers with this challenging lesson. If there are 24 square tables in a restaurant, how many customers can be seated at one time? They can use manipulatives or draw pictures to help them find the...
Curated OER
Sets, Relations, and Functions
Sets, relations, functions, and graphing linear equations are practiced in this challenging learning exercise. The class determines if a relation is a function or not and find the functional value of a domain element. The one page...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 4)
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...
West Contra Costa Unified School District
Solving Quadratic Equations – Alternative Methods
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...
Virginia Department of Education
Solving and Graphing Inequalities
You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...
Concord Consortium
Graphical Depictions
Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...
Concord Consortium
Twinkle, Twinkle
Take a look at a star resource. Young mathematicians use a graphing calculator to draw intersecting lines that look like a star. They then apply translations to move the entire star and also consider what transformations must occur to...
Curated OER
Solving Systems by Graphing
Students solve systems of equation through graphing. In this algebra lesson, 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 lines...
Curated OER
Systems of Linear Inequalities
The class solves systems of linear inequalities. They graph lines and identify the point of intersection.They graph lines and identify the boundary that represent the solution and solution set.
Curated OER
Analyzing Equations Through Slope and Y intercept
Students analyze equations using the slope and y-intercept. In this algebra lesson, students identify the slope using a and the intercept using m. They graph linear equations based on the slope and intercept.
Curated OER
Solving Systems of Linear Equations Graphically
Students solve systems of equations graphically. In this algebra lesson, students find the point of intersection of two lines if they are not parallel. They rewrite the equation in the y=mx + b form and graph using slope and intercept.
Math Worksheet Center
Linear Quadratic Systems
In this linear quadratic system worksheet, students explore a system with a linear and a quadratic equation. With the given equations, students graph the parabola. They identify the axis of symmetry, the slope, points of intersection,...
Curated OER
To Be Linear or Not to be Linear, That is the Question
Students use their knowledge and understanding of equations of lines to explore independent and dependent variables. They determine how to isolate a variable and how to predict data points not represented in data.
Curated OER
Chapter 10 - Objective 6.1 Graph
In this graphing worksheet, learners solve linear and parabolic equations and graph equations on a coordinate plane. They use the discriminant to determine the number of x-intercepts of a parabola. This one-page worksheet contains ten...
Curated OER
Straight Line Graphs
In this math activity, students plot lines on a graph paper when given the equation for the line in slope-intercept form. They tell the values of the slope and the y-intercept. Students find the x and y intercepts and plot three lines....
Curated OER
Point-Slope Form
Ninth graders explore the point-slope form of linear equations and graph lines in the point-slope form. After completing the point-slope equation, they identify the slope of a line through a particular point. Students explain the...
Curated OER
Topic 2: Graphing 2-Variable Linear Equations
Students explore the concept of 2-variable equations and expressions. For this 2-variable equation and expression lesson, students translate 2-variable word problems into 2-variable equations and expressions.