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Unit Plan
Orange Public Schools

Stagecraft

For Teachers 9th - 12th Standards
The house lights dim, the curtain parts, lights slowly come up, revealing the stage. Before the actors appear, before a word is spoken, the audience is drawn in by the lighting, by the colors, by lines of the set, by the props, and...
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Unit Plan
1
1
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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Activity
Curated OER

The BEAM Project: Building Efficient Architectural Models

For Teachers 9th - 12th
Technology or engineering teams are given a task to design, construct, and test the efficiency of a structure that will foster an even temperature throughout an entire sunny day. Intended as a long-term project, pupils research, plan,...
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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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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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Activity
DiscoverE

Design a Dome

For Teachers 6th - 12th Standards
Do domed structures have advantages over their less-than-spherical counterparts? Junior architects explore the pros and cons of domes through a design challenge. Teams work together to plan, sketch, build, and test domes created from an...
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Handout
Norwich University

Seven Man-Made Engineering Wonders of the Ancient World

For Students 6th - 12th
Imagine precisely cutting and then moving a 120 ton boulder more than two miles without mechanical cutting tolls, skid loaders, or hydraulic cranes. Imagine carving a stone figure that includes a drainage system that permits rainwater to...
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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

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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Lesson Plan
Virginia Department of Education

Similar Triangles

For Teachers 9th - 11th Standards
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
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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.
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Assessment
1
1
Balanced Assessment

Oops! Glass Top

For Students 9th - 12th Standards
 A short assessment asks participants to find the original radius required to replace a table top. The problem provides a hypothetical situation of having a segment of a broken glass table top. Pupils find the radius of the circular top...
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Lesson Plan
EngageNY

Properties of Dilations

For Teachers 8th Standards
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
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Lesson Plan
EngageNY

Tangent Lines and the Tangent Function

For Teachers 11th - 12th Standards
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
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Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
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Lesson Plan
Bowland

Pointzero: Confined

For Teachers 6th - 8th Standards
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes slides and...
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Lesson Plan
EngageNY

Characterize Points on a Perpendicular Bisector

For Students 9th - 10th Standards
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the center of...
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Unit Plan
Mathematics Vision Project

Module 6: Congruence, Construction, and Proof

For Teachers 8th - 10th Standards
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...