Willow Tree
Linear Relationships
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...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Curated OER
Writing Linear Equations in Different Forms
This worksheet is jam-packed with linear equations! Learners write equations in slope-intercept form and standard form. Horizontal and vertical lines are included, as well as graphs for several of the problems. A great way to...
Curated OER
Profitable Soda Stand
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
Curated OER
Equal Differences Over Equal Intervals 1
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover...
Illustrative Mathematics
Which Function?
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations.
Curated OER
Worksheet 4: Graphs and One-Sided Limits
In this math worksheet, students answer 6 questions regarding functions, graphs, one-sided limits, intercepts, vehicle speed and wheel rotation.
Charleston School District
Solving Systems Graphically
When guess and check gets old, it's time to start graphing! An instructive lesson explains how to solve a system of linear equations using graphing. Equations are in both slope-intercepts and standard form.
Curated OER
Linear Equations
Eighth and ninth graders solve and graph 42 different problems that include writing various equations and graphing them on a grid. First, they create a table for each equation and graph it on a grid locating the x-and y-intercepts. Then,...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...
Curated OER
Practice Problems for Linear Equations and Graphs
A worksheet that could also be used as a quiz presents students with 20 linear equations. They graph, solve for the slope, and intercepts of 8 equations. Students solve for the equation of a line, passing through given points for 6 sets...
Curated OER
Integration: Geometry, Parallel and Perpendicular Lines
In this math worksheet, learners write linear equations in slope-intercept form that passes through the given point. On the last 8 equations, students write the equation of the perpendicular line.
Curated OER
Graphing Polynomials
In this polynomials worksheet, 9th graders solve and complete 3 different problems. First, they illustrate the x is equal to a given number of a function and determine its multiplicity. Then, students factor the function completely and...
Curated OER
Human Coordinate Plane
Eighth graders form a human coordinate grid to develop knowledge of the placement and meaning of coordinates on a grid. They experience the placements of the x and y coordinates in an ordered pair.
Curated OER
Straight Line Graphs
In this math instructional 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...
Curated OER
Race The Rapper: Slopes
Students calculate the slope of the equation In this algebra instructional activity, students graph coordinate pairs of linear equations and identify the relationship between x and y values and slope. They differentiate between...
Curated OER
Find Equation of Straight Line
In this algebra worksheet, 9th graders are given the slope and y-intercept and asked to find the equation of a line. There are 7 questions with an answer key.
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
CPALMS
Writing an Exponential Function from its Graph
Grow an equation for the exponential graph. Given a graph of an exponential function, class members write the equation of the function provided. The graph labels two points on the graph: the y-intercept and the point where x is one.
National Council of Teachers of Mathematics
Stitching Quilts into Coordinate Geometry
Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project...
Curated OER
Using Factoring to Solve Equations
Eleventh graders use factoring to solve 44 different problems involving area, intercepts, quadratic equations, and functions.
Curated OER
Graphing Linear Equations with Two Variables
Can your class solve linear equations in two variables? They will be able to after they engage in this lesson. Individuals graph linear equations in two variables using slope and intercept and identifying the relationship between the x...
Curated OER
Am I Straight
Identify the slope of a linear equation in this algebra lesson. Middle schoolers graph linear equations using slopes and intercepts. They identify the slope as being positive, negative, no slope, or undefined.
Curated OER
Texting and Grades II
Given the least squares regression line, interpret the slope and intercept in the context of the relationship between texting and GPA. Although this task is short and looks simple, some subtle points can be brought to light in a...
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