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...
College Board
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
Curated OER
A Steep Hike
Students explore slope. In this middle school mathematics lesson plan, students analyze and interpret graphs as they investigate slope as a rate of change. Students use a motion detector to collect data as they walk at different speeds...
Curated OER
Forces and Graphing
Middle schoolers analyze graphs to determine relationships between variables and rates of change. They determine the basic concepts about static reaction forces. They determine the slope and equation of a line.
Curated OER
Algebra I: Linear Functions
Using rates from a rental car company, young mathematicians graph data, explore linear relationships, and discuss the role of slope and the y-intercept. This instructional activity allows for the discussion of independent and dependent...
Illustrative Mathematics
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Curated OER
Taking Its Toll
Students explore ratios. For this rates lesson, students create a ratio to compare the price of a toll to the distance travelled. They compute the average cost per mile, determine the slope between two ordered pairs, and make...
Illustrative Mathematics
Velocity vs. Distance
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Curated OER
Review Linear Equations
Explore algebra I/algebra II with this series of worksheets. Pupils write linear equations in slope-intercept and standard form, graph linear equations, and apply linear equations to real world applications. The six-page worksheet...
Curated OER
Drug Sales Soar - Rate of Change
In this prescription drug worksheet, students answer short answer questions and create graphs on the sales of prescription drugs over a five year span. Students complete six questions.
Virginia Department of Education
Equations of Lines
Scholars connect slope-intercept form and standard form to the values of m and b by first matching a set of cards that have slope-intercept form, standard form, values of m, values of b, and graphs of linear equations. They then play a...
Curated OER
Lines, Lines, Everywhere
Students explore linear equation suing real life scenarios. In this algebra instructional activity, students find the slope and intercept of a line. They create table of values to plot their graph and draw conclusions.
Curated OER
Rates and Slopes: An Astronomical Perspective
In this rates and slopes worksheet, students solve 2 problems where they find the rate corresponding to the speed of the galaxies in a Hubble diagram for galaxies and they calculate the rate of the sunspot number change between indicated...
Curated OER
Coffee: Differential Equation
In this differential worksheet, pupils read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.
Curated OER
Slope
In this slope worksheet, students determine slope for 6 pairs of points. Students then complete 6 problems to determine a missing coordinate given the slope.
Curated OER
Slope Calculation
Young scholars compute the slope of a line that passes through two points and explain how the slope formula is derived. They determine properties associated with positive, negative, undefined, and no slope.
Curated OER
A slope or not a slope? That is the question.
Eighth graders investigate concepts related to Cartesian Coordinates. They use a creative game at the beginning of the lesson plan to identify quadrants by passing candy to one another. The rest of the lesson plan is using vocabulary and...
Curated OER
Modeling Linear Relationships
Learners graph lines using the slope and y-intercept. In this algebra lesson, students create data using tables and equations. They use their data to make predictions and draw conclusion.
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 2
Math can be a problem in eighth grade. Sample items show how problem solving exists within the eighth grade standards. Part of the Gr. 8 Claim 2 - 4 Item Slide Shows series, the presentation contains eight items to illustrate the...
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...
Charleston School District
Exploring Linear Functions
What does a graph or equation say about a situation? Lots! The lesson uses the concepts explored in the previous four lessons in the series and applies them to problem solving situations. Learners create an equation from problems posed...
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...
Curated OER
Multiple Representations
Every topic or subject has its own special jargon. Learners work on their math vocabulary as it relates to basic algebra terms. They define and identify function, functional notation, ordered pairs, rate of change, slope,...