Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
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, write...
Curated OER
Race The Rapper: Slopes
Young scholars calculate the slope of the equation In this algebra lesson, students graph coordinate pairs of linear equations and identify the relationship between x and y values and slope. They differentiate between functions and...
Curated OER
Linear Equations and Their Graphs
In this Algebra I/Algebra II worksheet, students solve problems involving interpreting the slope of a linear equation as a rate of change. The two page worksheet contains a combination of seven multiple choice and free response...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Curated OER
Every Graph Tells A Story
Seventh graders explore linear equations. In this graphing lesson, 7th graders explore constant rates of change. Students discover the real-life application of graphs and demonstrate their ability to read graphs and write corresponding...
Curated OER
Baseball Relationships - Using Scatter Plots
Students 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
Animal Skin
Young scholars investigate the skin surface to body area ratios for different animals. In this seventh/eighth grade mathematics/science lesson plan, students explore heat transfer between an animal’s body and the environment. Using...
Curated OER
The Derivative
In this derivative instructional activity, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page instructional activity contains...
Curated OER
Linear Equations
Pre-algebra pupils examine the rate of change and how we can interpret it as a linear function. They are introduced to slope-intercept equations and graphs. Plenty of instruction is provided along with example problems. Note that even...
Curated OER
Inequalities 7.3
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
Curated OER
Exploring the Slopes of Parallel and Perpendicular Lines
Students calculate the slope of parallel and perpendicular lines.In this algebra instructional activity, students differentiate between parallel and perpendicular lines. They graph their lines using the slope of the equation.
Curated OER
Exploring the Slopes of Parallel and Perpendicular Lines.
Students find the slopes for perpendicular and parallel lines. In this geometry lesson, students differentiate between parallel and perpendicular lines. They use Cabri software to create lines to compare.
University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a line using...
Teach Engineering
Matching the Motion
It is not always easy to walk the straight and narrow. In the sixth portion of a nine-part unit, groups actively recreate a graph depicting motion. Individuals walk toward or away from a motion detector while trying to match a given...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
Mathalicious
Domino Effect
Carryout the lesson to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping. They explore...
Texas Instruments
TI-Nspire™ CAS
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...
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
Rate Equations, Slope Functions and Concavity
In this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. ...
Curated OER
Implicit Differentiation
For this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...
Curated OER
Computing Derivatives
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
Curated OER
Population: Logistically Speaking
For this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
Curated OER
Slopes of Lines
Students examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the...