AP Test Prep
College Board

2017 AP® Statistics Free-Response Questions

For Students 10th - 12th Standards
Reduce testing anxiety by helping learners prepare for test day. Scholars complete six free-response questions from a released AP® exam. The questions test a variety of concepts including confidence intervals, frequency tables,...
Interactive
PHET

Equality Explorer: Basics

For Students 6th - 12th Standards
Not all interactives are made equal. Scholars use an interactive balance to explore the concept of equality. They place different objects on balances to determine the number of each object needed to balance the scale.
Unit Plan
Radford University

Corn and Popcorn

For Students 9th - 12th Standards
Have a popping good time. Using probability and statistics skills, learners determine which type of popcorn to buy based on the percentage of kernels popped. After analyzing corn and popcorn sales to make a prediction of future sales,...
Unit Plan
Radford University

The Ultimate Kitchen Renovation

For Teachers 9th - 12th Standards
Cook up a nice new kitchen. Future designers apply quadrilaterals to design a new kitchen floor. They create a tessellation and determine the area of the pattern. As an added component and real-world application, they must stick to a...
Performance
Radford University

Filling Up a Swimming Pool Task

For Teachers 9th - 12th Standards
Swimming pools are no fun without water. For a pool in the shape of a trapezoidal prism, scholars first calculate the amount of water needed to fill the pool. They use experimental data on water flow to determine whether to haul water...
Performance
Radford University

Take a Trip

For Teachers 9th - 12th Standards
Leave all your travels needs to the math department. Pupils apply knowledge of triangles to identify a triangular path for a traveler to take. They use a given distance for the second leg of the trip and a constraint on the length of the...
Performance
Radford University

Choosing the Best Cylinders

For Teachers 9th - 12th Standards
Don't be fooled: the taller glass doesn't always hold the most. Given the dimensions of different cylindrical containers for beverages and popcorn, pupils calculate the volumes. They see how changing the dimensions affects the volume and...
Performance
Radford University

Exploring Coal Pillar Mining

For Teachers 9th - 12th Standards
Coal mines can be a gold mine of math applications. After reading some basic information on coal mining, learners draw blueprints of a coal pillar in the shape of a composite figure. They find the volume of material from the coal pillar...
Performance
Radford University

Coal Silo Design Task

For Teachers 9th - 12th Standards
The coal is mined. Now what? Scholars design a coal silo that stores mined earth using at least two different three-dimensional shapes. They calculate the volume, determine the amount of mined earth produced in a day, and find the amount...
Performance
Radford University

How Do I Design a Raised Bed Garden to Accommodate My Plants?

For Teachers 7th - 12th Standards
Give plants the best place to grow. Given constraints on plant spacing, pupils design a raised bed garden using graph paper, then calculate the perimeter, surface area, and volume. They use the provided costs of lumber and soil to...
Performance
Radford University

Green Cravings

For Teachers 9th - 12th Standards
Build up a bag of green. Pupils determine the number of green Skittles in a snack bag and come up with a way to determine how many snack bags it would take to create one bag of only green Skittles. Classmates share their methods and...
Activity
US Department of Commerce

Does the Percentage of People Who Walk to Work in Cities Vary with Population Size?

For Teachers 6th - 7th Standards
To walk or not to walk? Pupils create box plots comparing the percentage of residents who walk to work in large, medium, and small cities. Using the box plots, class members compare the data that reflects available statistics. Scholars...
Assessment
Bowland

Ice Cream

For Teachers 6th - 8th Standards
Make sure there is enough ice cream on hand. Learners try to find out how much ice cream to buy for a sports event. Scholars use a pie chart showing the percent of a sample of people who like different flavors of ice cream. Using the...
Assessment
Bowland

Taxi Cabs

For Teachers 6th - 8th Standards
Determine the cheapest way to the airport. Pupils read a scenario about trying to get 75 people to the airport using two different sizes of taxis. Learners calculate the number of smaller taxis needed given a number of large taxis and...
AP Test Prep16:31
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Flipped Math

Calculus AB/BC - Exponential Models with Differential Equations

For Students 10th - 12th
Exponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the...
Lesson Plan
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Workforce Solutions

Miniature Gulf Coast Project

For Teachers 6th - 8th Standards
Scholars show what they know about data collection and analysis with an activity that examines a smaller population of Houghton, Texas. Independently or in pairs, learners identify their research question, gather, graph, and analyze...
Instructional Video11:57
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Flipped Math

Side Splitter Theorem

For Students 9th - 12th Standards
Apply perspective to similarity. Individuals learn about the Side Splitter Theorem by looking at perspective drawings. Pupils use the theorem and its corollary to find missing lengths in figures. Next, they practice using the theorem and...
Worksheet
Curated OER

Whatever You do to One Side, You Must do the Other

For Students 7th - 9th
In this solving linear equations worksheet, students combine like terms to solve 9 equations. Students solve 8 proportion problems by cross multiplying.
Lesson Plan
Curated OER

Leonardo da Vinci

For Teachers 6th - 8th
Students select appropriate tools and technology to perform tests, collect data, and display data. They construct appropriate graphs from data and develop qualitative statements about the relationships between variables.
Worksheet
Curated OER

Fractions and Chemistry

For Students 8th - 10th
In this fractions in chemistry worksheet, learners solve 2 problems where they state all the answers as simple fractions or integers. They determine ratios of molecules in gasoline and they find ratio of molecules in the creation of...
Lesson Plan
Curated OER

Tour De Texas

For Teachers 6th - 8th
Middle schoolers are given a budget and an alternative-fuel vehicle. Using a map of Texas, they are given a starting point and determine how to arrive at their destination within 72 hours. They use the internet to research the...
Lesson Plan
Curated OER

Can a Geometric Mean be Nice?

For Teachers 11th - 12th
For this Geometry instructional (work)sheet, students are instructed on how to find the geometric mean.  Students are then shown how the geometric mean is applied to proving similar triangles.
Lesson Plan
Curated OER

How Big is a Blue?

For Teachers 4th - 8th
Students determine the length of different whales using a rope marked off and color coded to each length. They create life-size scale drawings of whales on butcher paper.
Lesson Plan
Curated OER

Self Portraits

For Teachers 6th - 9th
Student pictures are taken with a digital camera. The picture is opened on the computer, and selected. On the computer, the image is cloned, and traced (using the computer, not a "real" pencil). Students discuss how well the "average...

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