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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...
EngageNY
Tangent Lines and the Tangent Function
Construct tangent lines and make the connection to tangent functions. An informative instructional activity reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a...
Columbus City Schools
Constructive and Destructive Geologic Processes
Show the class the world as they've never seen it before—from way above! Learners try to unravel the mysteries presented by rich satellite imagery, learn to interpret topographic maps, and study erosion by constructing their very...
American Chemical Society
Man and Materials Through History
From the start of the Industrial Revolution, it only took 147 years for someone to invent plastic. This may seem like a long time, but in the history of inventing or discovering new materials, this is incredibly fast. An informative and...
EngageNY
Dividing the King’s Foot into 12 Equal Pieces
Apply, apply, apply! A measurement instructional activity 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...
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 instructional activity in this series explores this detailed process by first teaching children...
Kentucky Department of Education
Kentuckians in the Civil War Era: Constructed Response Essay
What part did Kentucky play in the Civil War? A constructed response essay assignment tests to ensure scholars understand the concepts and the arguments for the causes of the Civil War. Learners must read a primary source quote and then...
EngageNY
Properties of Dilations
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.
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...
Mrs. Burke's Math Page
Let Them Eat Pi
Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...
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...
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
Drawing Parallelograms
Construct your young mathematicians' understanding by exploring the properties and dimensions of a parallelogram through constructions. The seventh instructional activity in this 29-part series begins with individuals creating...
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.
EngageNY
Drawing Geometric Shapes
Learners build confidence working with geometric tools and develop their construction techniques in the sixth lesson plan of the 29-part series. Given a geometric description, they use a compass, protractor, or ruler to create it....
EngageNY
Drawing Triangles
Create concrete examples of triangle congruence for your classes. The eighth installment of the 29-part module sets the stage for studying triangle congruence. Given a set of criteria, math scholars use constructions to build a specific...
CK-12 Foundation
Frequency Polygons: Constructing a Frequency Polygon
Connect the dots on frequency. Given a distribution table of scores on an assessment, learners create a frequency polygon by moving points on a graph to the correct frequency. The pupils use the display to answer questions about the...
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...