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...
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...
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...
Worksheet
Tech Know Teaching

5th Grade Constructed Response Question

For Students 4th - 6th
New to constructed response question worksheets? Here's a model that demonstrates how to construct questions that require readers to interpret graphics found in informational text.
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
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
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...
Activity
101 Questions

Suitcase Circle

For Teachers 9th - 12th Standards
Analyze patterns in a circular arrangement. After using a geometric construction to complete a circle, learners use proportional reasoning to make predictions. By determining the length of an arc built from suitcases, they estimate the...
Lesson Plan
National Research Center for Career and Technical Education

Architecture and Construction: Stair Construction

For Teachers 6th - 12th Standards
Within the context of the construction industry, algebra pros begin to calculate slope from the sizes of stair steps. This is a terrific lesson, especially for aspiring engineers. Just be aware that it might be a stretch to meet all of...
Worksheet
Tech Know Teaching

6th Grade Constructed Response Question

For Students 4th - 6th
Graphs, charts, maps, diagrams. Reading and comprehending informational text is far more than just decoding the words on a page. Here's a packet that provides young readers with practice answering constructed response questions using...
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
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
PBS

Plotting Pairs of Coordinate Points in all Four Quadrants to Construct Lines

For Teachers 5th - 8th Standards
Here is a lesson on coordinates that has pupils view three Cyberchase video clips illustrating the definition of "point" and "line." Along the way, learners will discuss what characters from the videos do, and where problems lie in...
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...
Unit Plan
1
1
Core Knowledge Foundation

First Grade Skills Unit 7

For Teachers 1st Standards
The last unit in the series by Core Knowledge focuses on alternative spellings, nouns, verbs, conjunctions, subject-verb agreement, using commas in a series, constructing sentences, and following the writing process while writing...
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

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
PBS

Plotting Pairs of Coordinate Points in All Four Quadrants to Construct Lines

For Teachers 5th - 8th Standards
Your young graphers are motivated by watching three Cyberchase videos to plot points in all four quadrants, connect pairs of points to make a line segment, and find the point of intersection of two lines.
Unit Plan
Mathematics Vision Project

Geometric Figures

For Teachers 10th - 12th Standards
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Interactive
Scholastic

Study Jams! Construct Angles

For Students 4th - 7th Standards
Practice those protracting skills while watching the step-by-step guide on the correct way to use this angle measuring tool. The resource follows with assessment questions testing their ability to understand and use the protractor...
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
Illustrative Mathematics

Dan’s Division Strategy

For Teachers 5th - 7th Standards
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how...

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