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Unit Plan
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EngageNY

Congruence, Proof, and Constructions

For Teachers 8th - 10th Standards
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs.  Each of the almost-forty lessons is broken...
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Lesson Plan
eGFI

Zero-Energy Home Design

For Teachers 9th - 12th Standards
Challenge young engineers to design a one-bedroom scale house that would collect and maintain as much heat as possible. Special constraints must be adhered to, but creativity is also allowed. Diagrams and background information are...
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Lesson Plan
Curated OER

Proof of the Pythagorean Theorem Using Transformations

For Teachers 9th - 12th Standards
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
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Lesson Plan
Curated OER

Dilations with Matrices

For Teachers 9th - 12th Standards
Math whizzes explore dilations. They use matrices to perform dilations centered at the origins of triangles and investigate the effect of scale factor on the size relationship between the pre-image and the image of a polygon. A link to...
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Lesson Plan
Curated OER

Dilations in the Plane

For Teachers 9th - 12th Standards
Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. Students extend the concept of dilatation to the coordinate plane.
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Lesson Plan
Curated OER

All Systems Go!

For Teachers 9th - 12th Standards
Secret codes are so much fun, and a great way to practice nearly any math skill. Let your class become code breakers as they investigate inverse matrices. They use TI-Nspire technology to solve systems of equations which help them crack...
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Unit Plan
Radford University

Parallel Lines Cut By a Transversal

For Teachers 9th - 12th Standards
Perhaps planning a city isn't so difficult after all. Scholars first perform geometric constructions and investigate how parallel lines are useful in real-world situations. They then work on a city design project, drawing street maps,...
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Unit Plan
Radford University

Building a House

For Teachers 9th - 12th Standards
Ever dream of becoming an architect? Here's your chance to give it a try. After reviewing facts about triangles and quadrilaterals, pupils learn about the basics of architecture by talking to an architect or housing expert. They use...
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Unit Plan
Radford University

Parallel Lines Cut by a Transversal

For Teachers 9th - 12th Standards
Use the parallel lines to find your way. After first reviewing geometric constructions and the relationships between angles formed by parallel lines and a transversal, young mathematicians write proofs for theorems relating to parallel...
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Unit Plan
Radford University

Quadrilaterals

For Students 9th - 12th Standards
Connect the quadrilaterals. Working in teams, pupils use a variety of tasks to make connections between special quadrilaterals. With the properties well defined, the groups construct quadrilaterals based on those properties. Learners...
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Assessment
Mathed Up!

Loci and Constructions

For Students 8th - 11th Standards
A General Certificate of Secondary Education math review has class members make basic constructions. Using a protractor and a ruler along with a compass, pupils develop drawings of triangles with given measurements. Scholars use their...
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Instructional Video2:01
Corbett Maths

Construct a 45 Degree Angle

For Students 8th - 11th Standards
Create a 45-degree angle without bisecting an angle. A video shows a method to construct a 45-degree angle without needing to bisect a right angle. By constructing an isosceles right triangle, the presenter constructs a 45-degree angle...
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Instructional Video4:47
Corbett Maths

Construct a 30 Degree Angle

For Students 8th - 11th Standards
Split it down the middle. Using the tools of geometric construction, the video shows two different methods of constructing a 30-degree angle. The first method bisects an angle of an equilateral triangle. The second uses the diagonal of a...
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Instructional Video2:06
Corbett Maths

Angle Bisector

For Students 8th - 11th Standards
Cut it in half with a compass and straightedge! Using construction tools, a video shows how to create an angle bisector. The presenter points out what it means to bisect an angle in terms of the measure and distances from the sides of...
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Instructional Video2:16
Corbett Maths

Perpendicular from a Line to a Point

For Students 8th - 11th Standards
Take steps in the right direction. With a short demonstration, a video shows the steps to construct a perpendicular from a line to a point. Using a protractor, the narrator confirms the resulting construction is perpendicular, and then...
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Instructional Video1:54
Corbett Maths

Perpendicular Through a Point on a Line

For Students 8th - 11th Standards
Use one construction to complete a second. The short video shows how to incorporate the steps of a perpendicular bisector to create a perpendicular to a point on a line. With their own straightedges and compasses, classmates then...
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Instructional Video6:35
Corbett Maths

Perpendicular Bisector

For Students 8th - 11th Standards
Where should the statue be located? The resource explains how to use a compass and straight-edge to construct the perpendicular bisector of a line segment. Using an exam question, the narrator models how to solve an application problem...
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Unit Plan
Mathematics Vision Project

Module 2: Congruence, Construction and Proof

For Teachers 9th - 12th Standards
Construct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...
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Unit Plan
Mathematics Vision Project

Congruence, Construction and Proof

For Teachers 9th - 10th Standards
Learn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...
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Activity
Noyce Foundation

Circular Reasoning

For Students K - 12th Standards
Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...
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Activity
Noyce Foundation

Once Upon a Time

For Students K - 12th Standards
Examine the relationship between time and geometry. A series of five lessons provides a grade-appropriate problem from elementary through high school. Each problem asks learners to compare the movement of the hands on a clock to an angle...
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Activity
Noyce Foundation

Poly-Gone

For Students K - 12th Standards
Investigate polygons from rectangles to triangles to octagons. Each level of the five-problem series targets a different grade level. Beginning with the level A problem, learners examine the relationship between area and perimeter by...
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Activity
Noyce Foundation

What's Your Angle?

For Students K - 12th Standards
Math can be a work of art! Reach your artistic pupils as they explore angle measures. A creative set of five problems of varying levels has young learners study interior and exterior angle measures of polygons. The introductory levels...
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Lesson Plan
Virginia Department of Education

Constructions

For Teachers 9th - 11th Standards
Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.