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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 is broken...
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Lesson Plan
Mathematics Assessment Project

Identifying Similar Triangles

For Teachers 7th - 9th Standards
Math whizzes work with angle sums and exterior angles to figure out the measure of other angles. This particular publication provides comprehensive support in the form of an anticipatory activity, questions designed to prompt discussion,...
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Instructional Video10:17
2
2
Flipped Math

Unit 6 Review: Similar Figures

For Students 9th - 12th Standards
After a short review of the material from the Similar Figures Unit, pupils work through 18 problems to further practice the skills from the unit. Scholars apply those skills in the application problems at the end of the review.
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Instructional Video11:57
2
2
Flipped Math

Side Splitter Theorem

For Students 9th - 12th Standards
Apply perspective to similarity. Individuals learn about the Side Splitter Theorem by looking at perspective drawings. Pupils use the theorem and its corollary to find missing lengths in figures. Next, they practice using the theorem and...
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Instructional Video16:20
2
2
Flipped Math

Prove Triangles Similar

For Students 9th - 12th Standards
Show more than one way to prove similarity. Scholars learn three different methods to show two triangles are similar, Angle-Angle, Side-Side-Side, and Side-Angle-Side. Pupils practice applying these methods to determine whether two given...
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Instructional Video14:57
2
2
Flipped Math

Similar Figures

For Students 9th - 12th Standards
Use some similar problems to find side lengths. Pupils learn the definition of similar figures and how it relates to corresponding angles and sides. Using the definition, individuals calculate the lengths of missing sides and practice...
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Lesson Plan
Missouri Department of Elementary

Same and Different

For Teachers 1st Standards
A take on "If You're Happy and You Know It" opens a lesson about similarities and differences. Scholars speak in-depth on the unique characteristics that make up their classroom. The teacher or counselor records responses. Class members...
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Performance
Radford University

Triangles in Parallelograms

For Teachers 9th - 12th Standards
What's the point of looking at triangles when trying to draw parallelograms? Given three non-collinear points, pupils determine and justify all possible points that would create a parallelogram. They then analyze the four triangles that...
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Performance
Radford University

How Tall is the Tree?

For Teachers 9th - 12th Standards
Pairs or small groups work together to determine the height of a tree using similar triangles. Learners make a judgement which direction to let a tree fall to avoid hitting any structures. They then write letters to the principal...
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Unit Plan
Radford University

2 and 3 Dimensional Shapes

For Students 9th - 12th Standards
Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...
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Unit Plan
Radford University

Next Top Model

For Students 9th - 12th Standards
Create a world of similar models. The geometry and measurement unit uses real-world scenarios to create models of familiar buildings and rooms. Scholars work with blueprints and scale models to compare areas and volumes between the...
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Lesson Plan
Pace University

Grades 7-8 Solving Equations

For Teachers 7th - 8th Standards
Create a similar blueprint. The differentiated lesson has pupils work in teams to create a brochure, scale model, or blueprint of a selected house with some minor changes. Once finished, team members present their final projects to the...
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Assessment
Concord Consortium

Proportional Representation

For Students 9th - 12th Standards
Sometimes the solution is all a matter of perspective. The short assessment task presents a problem to pupils that requires them to make sense of a diagram. Once learners see two similar triangles, the rest of the solution is solving a...
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Assessment
Mathed Up!

Similar Shapes

For Students 8th - 11th Standards
Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use area and...
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Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Target G

For Teachers 8th Standards
Transform the thinking of transformations with six sample items that illustrate the first four standards in the eighth grade geometry domain. Items use the coordinate plane to transform figures and analyze the relationship of the figures...
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Unit Plan
Mathematics Vision Project

Module 4: Similarity and Right Triangle Trigonometry

For Teachers 9th - 12th Standards
Right you are to use a great resource. Starting with a lesson on dilations, scholars learn about similarity transformations and similar triangles. They use the knowledge to develop an understanding of right triangle trigonometry in later...
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Activity2:06
PBS

Human Tree: Ratios

For Students 6th - 7th Standards
Create a personal tree. By visiting an exhibit at the National Museum of Mathematics, the resource introduces the idea of fractals. The exhibit takes an image of the person and creates a tree by repeating scaled images on the shoulders...
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Assessment
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Target O

For Students 10th - 12th Standards
Trigger an increased understanding of trigonometry. Young mathematicians answer a set of questions that require finding trigonometric ratios using similarity and solving real-world problems involving trigonometry. The questions all come...
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Assessment
Concord Consortium

Symbolic Similarity

For Students 9th - 11th Standards
How many things does one transformation tell you? Learners compare and contrast the graphs of different parent functions with the same transformation. Using a rational and absolute value function, pupils identify key features of their...
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Lesson Plan
Mascil Project

Teaching Geometry Through Play

For Teachers 6th - 12th Standards
Puzzle your way through to a new understanding of area. Scholars learn about the area of polygons through equidecomposability, the idea that polygons that can be decomposed into the same set of pieces have the same area. By using...
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Lesson Plan
Virginia Department of Education

Similar Figures

For Teachers 7th
How similar do figures have to be to be similar figures? Individuals learn to identify similar figures by verifying that angles are congruent and sides are proportional. Additionally, they match the corresponding parts of similar figures.
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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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Assessment9:05
Mathed Up!

Enlargements

For Students 8th - 11th Standards
Make enlargements with and without centers. Pupils work through seven problems dealing with dilations or enlargements. The first couple items are strict enlargements without centers, while the others have centers. Class members also...
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Lesson Plan
EngageNY

Informal Proof of AA Criterion for Similarity

For Teachers 8th Standards
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...