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AP Test Prep11:21
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Flipped Math

Calculus AB/BC - Exploring Accumulation of Change

For Students 10th - 12th
Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...
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Assessment
Bowland

Sports Bag

For Teachers 6th - 8th Standards
Lay it out using the least amount of material. Learners use the dimensions of a cylindrical sports bag to find out the size of pieces of material needed to sew them. The pupils find the best placement of the pieces to use the least...
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Assessment
Bowland

Security Camera

For Teachers 5th - 8th Standards
Take an overall view of percentages. Pupils determine whether a shop owner's claim is correct about what percent of his shop is viewable from the installed security camera. Learners try to find whether there is a better location for the...
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Performance
Radford University

Maximizing Light Through a Window

For Teachers 9th - 12th Standards
Let there be plenty of light. For a perimeter of 10 feet, scholars determine the maximum area of a window composed of a rectangle and a semicircle. They draw diagrams and then write and solve equations to find the height and radius for...
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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...
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Performance
Radford University

Tiling

For Teachers 9th - 12th
What more could we want from floor tiles? Using pattern blocks and graph paper, pupils determine ways to completely tile a floor of given dimensions. They consider the aesthetic quality of the tiles by creating a tessellation and...
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Performance
Radford University

Remodeling a Home

For Teachers 9th - 12th Standards
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...
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Performance
Radford University

“Putt-Putt” For The Geometry of It!

For Teachers 9th - 12th Standards
Take a swing at the task. Using their knowledge of polygons and solids, scholars design one hole of a miniature golf course. They calculate areas and perimeters, determine the cost of building the holes, make scale drawings, and create...
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Performance
Radford University

A Place at the Table

For Teachers 9th - 12th Standards
Find a seat at the table. Learners design a non-rectangular picnic table given constraints on the number of people that should be able to sit at the table. They draw blueprints and build scale models of their tables. After researching...
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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...
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Performance
Radford University

Let’s Go Floor Shopping!

For Teachers 9th - 12th Standards
Pupils calculate the area of two rooms to re-floor. They research Lowe's and Home Depot to find the cost for different floor coverings. Given different promotions for the stores, individuals determine where to purchase the flooring based...
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Performance
Radford University

What’s Your Party Like? An Exploration of Area

For Teachers 9th - 12th Standards
Who knew that a party is all about the area. Individuals draw out a patio on grid paper while planning to host a party. Using colored paper to represent the total area of the patio, learners cut out furnishings to add to the patio,...
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Performance
Radford University

Kite Project

For Teachers 7th - 12th Standards
Let the class' knowledge of geometry soar like the kites they create. After researching the history and science of kites, learners draw up a blueprint for their own kites. They then calculate the areas and perimeters based on the scale...
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eBook
CK-12 Foundation

CK-12 Middle School Math Concepts - Grade 6

For Students 6th Standards
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
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Performance
Radford University

Your School’s Athletic Director Needs Your Mathematical Input!

For Teachers 9th - 12th Standards
Cover the field. Pairs investigate two different rolls of astroturf to cover a football field. The learners determine which type of roll is the most cost effective. Scholars write letters to the athletic director explaining their...
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Performance
Radford University

Ancient Aqueduct Analysis Project

For Teachers 9th - 12th Standards
Let the class' knowledge of geometry flow like water in an aqueduct. Future mathematicians research ancient Roman aqueducts and consider the geometric concepts necessary in their construction. They then use GeoGebra to create models of...
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Performance
Radford University

Koi Pond

For Teachers 8th - 12th Standards
There's nothing fishy about the activity. Future mathematicians design a koi pond from various three-dimensional shapes. They calculate the perimeter, area, and volume of the pond, and then create PowerPoint presentations. They also...
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Performance
Radford University

Beach House

For Teachers 6th Standards
What's the best way to make a beach house affordable? Given constraints on the number of rooms and the cost of flooring, learners design dream beach houses. They draw floor plans and calculate the areas using different units.
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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...
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Unit Plan
Radford University

Green Acres is the Place to Be!

For Teachers 9th - 12th Standards
Nurture a love of math and farming at the same time. Pupils apply geometry concepts, such as surface area and volume of three-dimensional shapes and similarity ratios, to farming contexts. They consider the dimensions of bales of hay,...
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Unit Plan
Radford University

Subdivision Design and Quadrilaterals

For Students 9th - 12th Standards
They say real estate is location, it might be more about area. Learners work individually and in groups to design subdivisions by dividing the land up into lots. Scholars design floor plans to fit on the lots along with including a park....
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Unit Plan
Radford University

How to Build a Happy Home

For Students 9th - 12th Standards
Build a complete house in just a few days. Learners create floor, roof, deck, and landscape plans for a two-story house. Scholars then use their knowledge of area formulas, trigonometric ratios, and the Pythagorean Theorem to determine...
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Unit Plan
Radford University

2 and 3 Dimensional Shapes

For Students 9th - 12th Standards
Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...
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Unit Plan
Radford University

Natural Disaster Recovery and Quadrilaterals: Fencing and Roofing Materials

For Students 9th - 12th Standards
Storm into a better understanding of geometry. Using a tornado as a backdrop, scholars practice their skills finding perimeters and areas of rectangles. Learners apply their knowledge of the Pythagorean Theorem to find missing sides of...