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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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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

How do I Prepare this Piece of Floor Tile to Lay on the Bottom of my Kitchen Sink Cabinet?

For Teachers 9th - 12th Standards
How can you place a rectangular tile around a pipe? Scholars first use a model of a kitchen sink cabinet to take measurements. Using a compass and their knowledge of circles, they then cut out a circle from a piece of poster board (which...
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Performance
Radford University

Building a Recreation Center

For Teachers 9th - 12th Standards
It's all about location, location, location. Small groups work to find the best spot for a rec center to serve three different communities. Learners construct the inscribed and circumscribed circles of a triangle to find the best place....
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Unit Plan
Radford University

Earthquake Problem

For Teachers 9th - 12th Standards
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
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Unit Plan
New York City Department of Education

Designing Euclid’s Playground

For Teachers 10th Standards
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
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Assessment
Concord Consortium

Shooting Arrows through a Hoop

For Students 9th - 12th Standards
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
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Interactive
CK-12 Foundation

Fraction Comparison with Lowest Common Denominators: Oranges and Blood Oranges

For Students 6th Standards
Comparing fractions is the focus of a five-question interactive in which mathematicians use oranges to answer real-world multiple-choice, true or false, and discussion questions. 
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Assessment
Concord Consortium

Outward Bound

For Students 9th - 12th Standards
Just how far can I see? The short assessment question uses the Pythagorean Theorem to find the distance to the horizon from a given altitude. Scholars use the relationship of a tangent segment and the radius of a circle to find the...
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Instructional Video3:10
Corbett Maths

Hexagon Inscribed Within a Circle

For Students 8th - 12th Standards
Mark off the length of the radius around the circle. Using a compass, the presenter shows how to construct a regular hexagon in a circle. Pupils see how triangles formed in the hexagon are equilateral, allowing for the construction to...
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Instructional Video0:53
Corbett Maths

Angles in the Same Segment – Proof

For Students 8th - 12th Standards
If angles intercept the same arc, the angles must be the same size. The quick video talks through the proof of showing the reason two inscribed angles that intersect the same arc have the same measurement. Pupils then create their own...
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Assessment
1
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CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 3

For Teachers 9th - 12th Standards
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
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Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 2

For Teachers 9th - 12th Standards
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
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Instructional Video3:29
PBS

Scale City — Scaling up Recipes and Circles in the Real World

For Students 6th - 7th Standards
What a great big skillet you have. The resource introduces the class to the world's largest stainless steel skillet. The class creates a model of the skillet and a typical 12-inch skillet and compares the relative sizes of their areas....
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Assessment
Concord Consortium

Orthogonal Circles

For Students 7th - 12th Standards
Here's some very interesting circles for your very interested pupils. A performance task requires scholars to sketch a pair of orthogonal circles so the centers are the endpoints of one side of a triangle. They draw an additional circle...
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Assessment
Concord Consortium

Line of Sight

For Students 10th - 12th Standards
There's no way around it—learners must use trigonometry to model the line of sight around a race track! Using the starting line as the origin, pupils model the straight line distance to any car using a trigonometric expression. The...
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Unit Plan
Mathematics Vision Project

Module 6: Connecting Algebra and Geometry

For Teachers 9th - 12th Standards
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
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Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
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Assessment
Concord Consortium

Circling Trains

For Students 7th - 12th Standards
And round and round the park we go! Given a description of an amusement park with the locations of three attractions connected by walkways, learners consider what happens when additional attractions join the mix by doubling the length of...
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Assessment
Concord Consortium

Circling

For Students 11th - 12th
Come full circle in learning about conic sections. Learners first look at the type of conic section formed when concentric circles intersect a standard coordinate plane. They then see which type forms when two sets of concentric circles...
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Assessment
Concord Consortium

Circumscribed Polygon

For Students 11th - 12th Standards
Trigonometry teachers often go off on a tangent, and here's a worksheet that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
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Assessment
Concord Consortium

Three Circles

For Students 9th - 12th Standards
Round and round and round we go. Given a diagram of three circles, two of which share a point with the third circle, learners identify the radius of each circle. Doing so requires setting up and solving a system of equations based on the...
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Assessment
Concord Consortium

Track of Dreams

For Students 9th - 12th Standards
Don't run from the resource—sprint to it. Using an engaging performance task, scholars consider a set of constraints on the creation of a track. Given several possible designs, they determine if the designs meet the constraints. If not,...
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Assessment
CCSS Math Activities

Satellite

For Students 9th - 12th Standards
This isn't rocket science, you know. A performance task has learners use right triangle trigonometry to calculate distances from stations on Earth to a satellite. It also requires finding the distance between two stations along the...