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...
Charleston School District
Solving Systems by Inspection
Can you solve a system by just looking at it? The previous lessons in the series taught three methods of solving systems of equations. Now learners discover they can determine the number of solutions of a system just by looking at it....
EngageNY
Constant Rates Revisited
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, 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...
Curated OER
The Barbie Bungee Drop
What do math, bungee jumping, and Barbie® have in common? Young adventure seekers use rubber bands as bungee cords to predict a thrilling, but safe, jump for their doll. First, test jumps are conducted with a few rubber bands. Then more...
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
EngageNY
Parallel and Perpendicular Lines
Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...
Curated OER
Explore Learning Exponential Functions
High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M &...
Charleston School District
Pre-Test Unit 9: Scatter Plots
What do your classes know about statistics? Use a pre-test to determine their background. Topics include scatter plots and lines of best fit, two-way frequency tables, and modeling with linear equations.
Curated OER
2 X 2 Linear Systems
Students solve 2 X 2 systems graphically and algebraically. They investigate parallel systems. They solve application problems using 2 X 2 systems.
Curated OER
Eighteen Slope-Intercept Form of a Line problems
For this line worksheet, students solve eighteen problems related to slope, t-intercept, and equations of lines. Three of the problems are multiple choice, two are graphs, and the rest are free-response problems.
Curated OER
Functions and Slopes
For this function worksheet, students find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
PBL Pathways
College Costs 2
What is the financial benefit for attending a community college for the first two years before transferring to a four-year college? The second part of the educational lesson asks young scholars to explore this question through data...
Curated OER
Slope, slope-Intercept Form and Standard Form
Students investigate and solve linear equations using slopes. In this algebra activity, students graph lines using the slope and y intercept. They also find the slope by rewriting their equation in to slope-intercept form from standard...
Curated OER
Slopes, Slope-Intercept Form, Standard Form
Students identify the slope of an equation using various methods. In this algebra lesson, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the slope...
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
Curated OER
Rising Water
Eighth graders discuss a situation with quantities that relate in a linear fashion. They discuss ways to determine the relationship. Students represent this relationship with mathematic symbols. Students discuss the meaning of...
Wordpress
Introduction to Exponential Functions
This lesson plan begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables...
Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
EngageNY
Designing a Search Robot to Find a Beacon
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra activity. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...