Curated OER
Linear Functions
Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)
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...
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...
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...
Radford University
Google Earth Trip
Travel the world instantly—and learn about math along the way. Using pictures of famous places taken from Google Earth, scholars look for parallel and perpendicular lines based on slope and angle measurements. They also calculate...
Radford University
Create A Ramp Design
Ramp up a design challenge. Class members design ramps to meet a client's requirements to comply with the American with Disabilities Act. The scholars create a scaled graph of their designs and determine the equations of the lines on...
Curated OER
Linear and Quadratic Model, Data Modeling
Students model quadratic and linear equations. In this algebra lesson, students solve word problems using equations. They create scatter plots and make predictions using correlations.
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
Radford University
Ramp It Up
Pupils gather measurements of real-world objects that have slopes. They then plot the measurements and find an equation of a line that fits the measurements. Finally, groups investigate the ADA and determine whether different ramps meet...
EngageNY
Making Scale Drawings Using the Parallel Method
How many ways can you create a dilation? Many! Individuals strengthen their understanding of dilations by using various methods to create them. The new technique builds on pupils' understanding of the ratio method. Using the ratio,...
Flipped Math
Correlation
Determine how close the line is to the scatter plot. Clear video instruction shows how to plot a scatter plot and find the best fit line using the linear regression function on a calculator. Pupils use the information from the calculator...
Flipped Math
Unit 5 Review: Bivariate Data
The data says it's a wrap. Pupils work through four review questions with multiple parts dealing with bivariate data. Questions cover creating and interpreting two-way tables and scatter plots with lines of best fit. Scholars finish up...
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
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...
Curated OER
Contour Map Worksheet #2
Following a contour map of a hill, a stream, and the ocean, are five multiple choice questions. Earth science enthusiasts determine elevation, direction of water flow, distance, and steepness. They also match the map to a selection of...
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.
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
CK-12 Foundation
Absolute Versus Local Extrema
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of...
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...
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...
PBL Pathways
Do Homework?
To complete homework or not to complete homework ... that is the question. Decide whether it makes a difference on finals by doing homework. Individuals create a scatter plot and find a line of best fit for data on the percent of...
Concord Consortium
Betweenness I
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
National Council of Teachers of Mathematics
Bank Shot
Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...
College Board
2004 AP® Calculus AB Free-Response Questions Form B
The test is not all about skills. The six free-response questions contain two real-world application problems. Those items deal with populations and velocities. The other four questions ask pupils to show their knowledge of calculus...
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