College Board
2011 AP® Calculus AB Free-Response Questions Form B
Half are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...
Workforce Solutions
Plan a Vacation
Challenge scholars to plan a vacation with a $5,000 budget. Learners review costs of transportation, meals, and entertainment while considering the number of people and destination. Worksheets provide information and...
Radford University
Next Top Model
Create a world of similar models. The geometry and measurement unit uses real-world scenarios to create models of familiar buildings and rooms. Scholars work with blueprints and scale models to compare areas and volumes between the...
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
College Board
2007 AP® Calculus BC Free-Response Questions Form B
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
Curated OER
Twenty Questions: The Hundred Chart
Use the 20 Questions game to practice math vocabulary and number properties! Project a hundreds chart and hand one out to learners. Ideally, give them counters (beans would work well) to mark off the chart so you can play multiple times....
Houghton Mifflin Harcourt
Integers, Opposites, Absolute Value
Straight from the pages of a math textbook, this three-lesson series introduces young mathematicians to the world of integers. Starting with a definition of integers and their applications in the real world, this resource goes on to...
PBS
Frame Yourself: Area and Perimeter
Elementary schoolers are arranged in pairs and view the video Math Works: Measurement: The Difference Between Perimeter and Area. They discuss any prior knowledge they have of the term perimeter and then brainstorm together what the...
Curated OER
Using Algebra to Explore Problem Space
Students apply their knowledge of math by rewriting word problems using equations. In this word problem activity, students build upon previous knowledge as they set up the correct steps to solve word problems. This activity is full of...
SHS Algebra
Linear vs. Exponential Functions Tasks
Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...
101 Questions
Potty Math
You don't want to flush your money down the drain! Have your classes complete a financial comparison between two different types of toilets. They use linear modeling to determine the most cost-effective model.
College Board
2005 AP® Statistics Free-Response Questions
A little context will go a long way. The six released free-response questions from the 2005 exam, show how AP® Statistics uses context within their problems. Pupils use the questions to practice their statistics skills within real-world...
EngageNY
Solving Basic One-Variable Quadratic Equations
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...
EngageNY
Interpreting Quadratic Functions from Graphs and Tables
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
Mathematics Assessment Project
Modeling: Making Matchsticks
Math: The only subject where the solution to a problem is seven million matches. Young scholars first complete an assessment task estimating the number of matches they can make from a tree of given dimensions. They then evaluate provided...
Bowland
Fares Not Fair
What would be a fair fare for a taxi? to answer the questions requires young mathematicians to analyze data on fuel prices and taxi cab fares. They determine and justify a fair fare price.
Curated OER
Environmental Agents of Mathematics: Mathematics for Change
High schoolers analyze environmental science data using Math. They do research about renewable energy, gather data, create graphs and interpret their findings. Then the group presents their arguments persuasively using their findings to...
British Museum
2D Shapes
Add a little art into your next class discussion on shape identification. Provided here is a string of images that show two-dimensional shapes found throughout the art world. Oval baskets, hexagonal tiles, and round coins provide...
CCSS Math Activities
Vincent’s Graphs
What in the world are they doing? Given two graphs, scholars interpret the graphs and connect them to a real-world situation. They must also draw a graph given information about a context.
Illustrative Mathematics
Running Laps
If you run more laps, did you run further? Well, it depends. If the laps are different lengths, you need to do some math to answer that question. The goal of this task to is compare two fractions. Young learners represent the real-world...
Radford University
Remodeling a Home
Get new flooring for as cheap as possible. Given a floor plan of a house, pupils determine the area of each room and the amount of necessary flooring. They then make selections for the flooring in every space, taking a budget into...
Curated OER
Escape Velocity
Sixth graders create/use spreadsheets to solve real-world problems, explore patterns, make predictions, select/explain most appropriate types of graph to display data, use information to create product, and have basic understanding of...
Curated OER
Point-Slope Form of a Line
This activity helps young mathematicians connect the graph and the point-slope form of a line, by first solving a real-world problem and then using that example to motivate the understanding of the equation. By manipulating the gizmo,...
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