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EngageNY
Congruence, Proof, and Constructions
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...
Skyscraper Museum
Building a Skyscraper
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...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
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...
Cornell University
Constructing and Visualizing Topographic Profiles
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...
Virginia Commonwealth University
General Construction Measurement and Dimensions
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....
EngageNY
Dividing the King’s Foot into 12 Equal Pieces
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...
Skyscraper Museum
Building a Skyscraper
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...
EngageNY
Construct and Apply a Sequence of Rigid Motions
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...
EngageNY
Characterize Points on a Perpendicular Bisector
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...
Tennessee State Museum
An Emancipation Proclamation Map Lesson
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...
University of Delaware
Constructing Text-Based Arguments About Social Issues
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...
EngageNY
Translations
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.
EngageNY
Looking More Carefully at Parallel Lines
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...
EngageNY
Properties of Similarity Transformations
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...
EngageNY
Special Lines in Triangles (part 1)
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.
Curated OER
Farewell to Manzanar
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...
Illustrative Mathematics
Tangent to a Circle From a Point
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...
EngageNY
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
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...
Friends of Fort McHenry
Citizens For and Against the War of 1812
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...
American Institute of Architects
Architecture: It's Elementary!—Fifth Grade
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...
Virginia Department of Education
Integers: Addition and Subtraction
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...
Old Dominion University
Introduction to Calculus
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,...
Edgate
The Intrusion of Strangers
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...
Aquarium of the Pacific
Lego Molecules
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.