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...
Curated OER
Rise Over Run
In this rise over run worksheet, students solve and complete 2 different problems that include determining the rise over run for a race ran. First, they use the information in the table to graph each person's performance using a...
Curated OER
Wind-Up Car
Learners produce an equation from a graph, based on an engineering-context story provided. In this production of equations instructional activity, students write an equation given the graph and description. Learners also describe what...
Curated OER
Math Mediator Lesson 10: Slope
Students explore the concept of slope. In this Algebra I lesson plan, students investigate the definition of slope as rise over run or change in y compared to change in x. The lesson plan includes a real-world problem in...
Virginia Department of Education
Slope-2-Slope
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
Curated OER
Chapter 5 - Objective 3.1 Slope Intercept
In this slope intercept worksheet, students graph equations using the slope and the y-intercept. This one-page worksheet contains three problems.
Willow Tree
Graphing
So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...
Curated OER
Find Slope
In this slope worksheet, students find the equation of a line and write it in the slope-intercept form. They identify the slope. This two-page worksheet contains 11 problems. Answers are provided on the last page.
Curated OER
Discovering the Linear Relationship between Celsius and Fahrenheit
Students discover the linear relationship between degrees Farenheit and degrees Celsius. They manually compute the slope and y-intercept of the line passing through points. They convert Celsius to Fahrenheit degrees.
Curated OER
Slope and Parallel Lines
Learners plot pairs of Cartesian coordinates on graph paper and connect points with straightedges. They examine the lines and determine if they are parallel or not by finding the equations of the lines and comparing the slopes. They...
CK-12 Foundation
Graphs in the Coordinate Plane: Functions on a Cartesian Plane
Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...
Charleston School District
The Line of Best Fit
If it's warm, they will come! Learners find a line of best fit to show a relationship between temperature and beach visitors. Previous lessons in the series showed pupils how to create and find associations in scatter plots. Now,...
US Department of Commerce
Educational Attainment and Marriage Age - Testing a Correlation Coefficient's Significance
Do women with college degrees get married later? Using a provided scatter plot of the percentage of women who earn bachelor's degrees and the median age at which women first get married over time, pupils conduct a linear regression...
Curated OER
Translate Word Phrases and Sentences into Equations
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
Curated OER
Baseball Relationships - Using Scatter Plots
Young scholars use graphing calculators to create scatter plots of given baseball data. They also determine percentages and ratios, slope, y-intercepts, etc. all using baseball data and statistics.
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
Modeling Linear Relationships
Students graph lines using the slope and y-intercept. In this algebra instructional activity, students create data using tables and equations. They use their data to make predictions and draw conclusion.
Curated OER
Other Equations of Lines
In this algebra worksheet, students find equations for 4 lines when given their slope and one point on the line. They write two linear equations when given two points on a line. Students analyze the equations of 3 sets of linear...
Virginia Department of Education
Slippery Slope
Explore slope using geometric patterns. Young mathematicians investigate towers built from cubes to develop a linear pattern. They move the data to a coordinate plane to connect the pattern to slopes.
Curated OER
Parallel and Perpendicular Lines
Young geometers get some solid skills practice in evaluating slopes. Beginning with the basics of slope through two points and progressing through properties of parallel and perpendicular lines, the building of skills is gradual and...
West Contra Costa Unified School District
Discovering Slope of a Line in Standard Form
From start to finish this skills practice resource provides a way for individuals to explore the standard form equation of a line. Begin with a warm-up, work through the problems, and then discover the relationship between the...
Radford University
Picturing Lines
Slopes are everywhere—even in houses! Given a picture of a house, learners find lines with positive, negative, zero, and no slopes. Scholars determine the equation of the lines by calculating the slopes and y-intercepts. Class members...
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...
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...