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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...
Lesson Plan
Skyscraper Museum

Building a Skyscraper

For Teachers 2nd - 4th Standards
Creating buildings that reach hundreds of feet into the sky is no easy task. The third instructional activity in this series begins with four activities that engage young architects in exploring the major challenges that are faced when...
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...
Lesson Plan
Cornell University

Constructing and Visualizing Topographic Profiles

For Teachers 6th - 12th Standards
Militaries throughout history have used topography information to plan strategies, yet many pupils today don't understand it. Scholars use Legos and a contour gauge to understand how to construct and visualize topographic profiles. This...
Lesson Plan
Virginia Commonwealth University

General Construction Measurement and Dimensions

For Teachers 6th - 9th Standards
Learners construct their understanding of measurement and dimensions in this step-by-step approach that begins with an all group vocabulary introduction, consisting of measuring objects and dialoging using measurement vocabulary....
Lesson Plan
EngageNY

Dividing the King’s Foot into 12 Equal Pieces

For Students 9th - 10th Standards
Apply, apply, apply! A measurement lesson applies a number of concepts to help learn a new construction. Scholars learn to divide a segment into n equal parts using a method that uses the Side Splitter Theorem and a method that...
Lesson Plan
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Skyscraper Museum

Building a Skyscraper

For Teachers 4th - 6th Standards
The construction of skyscrapers is no simple undertaking, involving the careful coordination and planning of many different people. The third lesson in this series explores this detailed process by first teaching children about the main...
Lesson Plan
EngageNY

Construct and Apply a Sequence of Rigid Motions

For Teachers 9th - 12th Standards
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
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...
Lesson Plan
Tennessee State Museum

An Emancipation Proclamation Map Lesson

For Teachers 5th - 8th Standards
Did the Emancipation Proclamation free all slaves during the Civil War? Why was it written, and what were its immediate and long-term effects? After reading primary source materials, constructing political maps representing information...
Unit Plan
1
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University of Delaware

Constructing Text-Based Arguments About Social Issues

For Teachers 8th Standards
Eighth graders take a stand on a variety of controversial topics with a lesson on argumentative writing. As they view an informative presentation and work with collaborative groups, they decide which side of each argument they want to...
Lesson Plan
EngageNY

Translations

For Students 9th - 10th Standards
Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.
Lesson Plan
EngageNY

Looking More Carefully at Parallel Lines

For Students 9th - 10th Standards
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
Lesson Plan
EngageNY

Properties of Similarity Transformations

For Teachers 9th - 10th Standards
You can explain it, but can you do it? After learners view a sequence of transformations, the next logical step is creating the transformation. Challenge your classes to construct a composition of transformations and verify the...
Lesson Plan
EngageNY

Special Lines in Triangles (part 1)

For Students 9th - 10th Standards
Allow your pupils to become the mathematicians! Individuals explore the properties of a midsegment of a triangle through construction and measurement. Once they figure out the properties, learners use them to draw conclusions.
Unit Plan
3
3
Curated OER

Farewell to Manzanar

For Teachers 6th - 8th Standards
Examine human resilience across two texts with a detailed unit. Over the course of a week, learners will conduct a close reading of excerpts from Unbroken and Farewell to Manzanar. The resource includes clear procedures for reading and...
Activity
Illustrative Mathematics

Tangent to a Circle From a Point

For Teachers 9th - 10th Standards
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...
Lesson Plan
EngageNY

The Angle-Angle (AA) Criterion for Two Triangles to Be Similar

For Teachers 9th - 10th Standards
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
Lesson Plan
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Friends of Fort McHenry

Citizens For and Against the War of 1812

For Teachers 8th Standards
Use this exceptional resource to examine the discourse and debate that occurred at the start of the War of 1812 with your class. Learners will first consider their own position on the war in a silent journal writing activity. Then after...
Unit Plan
American Institute of Architects

Architecture: It's Elementary!—Fifth Grade

For Teachers 4th - 8th Standards
Young citizens construct an understanding of urban planning in this cross-curricular unit. Covering every aspect of city development from the political, economic, and social influences to sustainable building practices, this...
Lesson Plan
Virginia Department of Education

Integers: Addition and Subtraction

For Teachers 5th - 8th Standards
Young mathematicians construct their own understanding of integers with an inquiry-based math lesson. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...
eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Lesson Plan
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Edgate

The Intrusion of Strangers

For Teachers 6th - 12th Standards
How did Native Americans react to the arrival of the Lewis and Clark expedition? Here, learners review excerpts of journal entries that chronicle the arrival of the Corps of Discovery to the Shoshone and Blackfeet tribes. Your young...
Lesson Plan
Aquarium of the Pacific

Lego Molecules

For Teachers 4th - 6th Standards
Young scientists construct an understanding of molecular compounds in this hands-on science lesson. Using LEGO® to model the atoms of different elements, students build molecules based on the chemical formulas of common compounds.