Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Mathematics Assessment Project
Representing Inequalities Graphically
A new, improved version of the game Battleship? Learners graph linear inequalities on the coordinate plane, then participate in a game where they have to guess coordinate points based on the solution to a system of linear inequalities in...
Mathematics Assessment Project
Classifying Equations of Parallel and Perpendicular Lines
Parallel parking might be difficult, but finding parallel lines is fairly simple. In this instructional activity, learners first complete an assessment task involving parallel and perpendicular lines in the coordinate plane. Individuals...
West Contra Costa Unified School District
Solving Systems of Inequalities
Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...
Curated OER
Exponential Growth and Decay
Quiz your middle and high schoolers on solving exponential growth and decay. First, they evaluate for a variable given the second variables value. Then, they graph an equation that illustrates the exponential growth or exponential decay...
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...
Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
California Mathematics Project
Reflections
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
Curated OER
Line of Best Fit
In this line of best fit worksheet, students solve and complete 8 different problems that include plotting and creating their own lines of best fit on a graph. First, they study the samples at the top and plot the ordered pairs given on...
Curated OER
Barbie Bungee
Middle and high schoolers collect and analyze their data. In this statistics lesson, pupils analyze graphs for linear regression as they discuss the relationship of the function to the number of rubber bands and the distance of the...
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Shodor Education Foundation
Scatter Plot
What is the relationship between two variables? Groups work together to gather data on arm spans and height. Using the interactive, learners plot the bivariate data, labeling the axes and the graph. The resource allows scholars to create...
Curated OER
Famous People: Teacher Notes
Young statisticians practice creating scatter plots. First, they estimate the age of 14 people. Next, they write down the estimate in a table labeled x. Then write down their actual age in the table labeled y. Using these x and y...
MARS, Shell Center, University of Nottingham
Defining Regions Using Inequalities
Your young graphers will collaboratively play their way to a better understanding of the solution set produced by the combining of inequalities. Cooperation and communication are emphasized by the teacher asking questions to guide the...
Curated OER
Math Mediator Lesson 10: Slope
Students explore the concept of slope. In this Algebra I lesson, students investigate the definition of slope as rise over run or change in y compared to change in x. The lesson includes a real-world problem in which the height of high...
Google
Midpoint and Distance Foldable
Support young mathematicians with learning the concepts of midpoint and distance with this foldable resource. Offering both graphic examples and written equations, this reference clearly demonstrates for students how these key terms...
School Mathematics Project
Resource Sheets
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Curated OER
Worksheet 4 - Math 126: Sketching Polar Equations
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
Curated OER
Graphing Data
Students graph lines in a coordinate plane. In this geometry lesson, students graph lines on a coordinate plane, and identify the slope. They calculate the volume, area and perimeters of the shapes created on a coordinate plane.
Curated OER
Cartesian Coordinates
Students investigate rational numbers through data analysis and statistics. In this algebra instructional activity, students represent, rename, compare and order rational numbers. They collect and represent data correctly on a graph.
Curated OER
Variables, Formulas, Functions, Graphs and Linear Approximations
In this limitations of formulas activity, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.
Curated OER
Graphing Linear Equations
In this calculator active graphing worksheet, students graph 12 equations via a calculator and transfer the graphs onto coordinate grids.
Curated OER
Graphing lines in Standard Form
In this algebra learning exercise, students graph lines on a coordinate plane after rewriting the equations in the form y= mx + b. There are 12 graphing problems with an answer key.