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Lesson Plan
Curated OER

Indirect Measurement with Similar Triangles

For Teachers 9th - 12th
Young scholars use similar triangles to find missing heights.  In this using similar triangles to find missing heights lesson, students use proportions to find the heights of missing side lengths.  Young scholars find the height of trees...
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Lesson Plan
Curated OER

Measurement of Objects Using Similar Triangles in The Plane

For Teachers 9th - 11th
Students use similar triangles and a sight tool to find the height and distance between large objects. In this similar triangles lesson plan, students use a constructed sight tool to measure the distance and height of an object using an...
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Unit Plan
1
1
Mathematics Vision Project

Similarity and Right Triangle Trigonometry

For Teachers 10th - 12th Standards
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
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Lesson Plan
EngageNY

Modeling Using Similarity

For Teachers 8th Standards
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
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Lesson Plan
Utah Education Network (UEN)

Finding Missing Lengths of Similar Triangles

For Teachers 7th - 10th
Middle and high schoolers explore the properties of similar triangles. In this geometry lesson, pupils play a similarity basketball game, sketch similar triangles, and find the missing measures of similar figures. They find the height of...
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Lesson Plan
Curated OER

Similar Triangles

For Teachers 9th
Ninth graders find the height of every day objects using techniques learned through postulates that allow triangles in a problem to be similar. They calculate the length of a missing side and solve proportions.
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Lesson Plan
Curated OER

Similar Triangles - Applied Problems

For Teachers 9th - 12th
Students differentiate between similar and congruent triangles. In this geometry lesson, students identify the angles of triangles using the similarity theorem. They apply concepts of triangles to the real world.
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Lesson Plan
EngageNY

Between-Figure and Within-Figure Ratios

For Teachers 9th - 10th Standards
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
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Activity
Curated OER

Triangle Series

For Teachers 9th - 12th Standards
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation. 
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Lesson Plan
Curated OER

Tennis Triangle

For Teachers 9th - 12th
Learners calculate the height of a tree or flagpole. They measure the shadow of the tree or flagpole and the length of a shadow of a meterstick. Using similar triangles, calculate the heigh. Devise two additional ways in which to measure...
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Lesson Plan
1
1
Illustrative Mathematics

Equal Area Triangles on the Same Base II

For Teachers 9th - 12th Standards
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
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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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Worksheet
Curated OER

Parts of Similar Triangles

For Students 10th
In this parts of similar triangles worksheet, 10th graders solve and complete 15 different statements related to naming the parts found in similar triangles. First, they identify each definition stated that describes an everyday usage of...
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Activity
Exploratorium

Handy Measuring Ratio

For Teachers 4th - 8th Standards
Your hand can be a handy tool for measurement. Young mathematicians learn how to estimate the height of objects by applying similarity. They find the horizontal distance from the object where spreading their outstretched fingers results...
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Performance
Radford University

REALLY Tall!

For Teachers 9th - 12th Standards
Conduct indirect measurements three ways. Working in groups, pupils come up with different ways to measure three tall objects indirectly. The teacher provides measurement information requested by the teams, and learners then calculate...
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Lesson Plan
Curated OER

II Similar

For Teachers 8th - 10th
Learners, through lecture and guided practice, discover the properties of similar triangles. They use given measurements of one triangle to find a missing measurement of a similar triangle. They apply this knowledge in real-life...
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Worksheet
Curated OER

Quiz: Similarity

For Students 7th - 8th
In this similarity worksheet, students use the characteristics of similar figures to determine the length of one side of a polygon, the height of a tree, or the shortest side of a triangle. They also identify similar figures. ...
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Lesson Plan
Project Maths

Introduction to Trigonometry

For Teachers 9th - 12th Standards
The topic of trigonometric ratios is often covered with loads of rote memorization baked into the activity. This activity set, however, leans more on using similar triangles and discovery learning to help young geometers develop a deeper...
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Lesson Plan
Curated OER

Measuring Heights With Triangles

For Teachers 8th - 10th
Students identify the different properties of triangles. In this geometry lesson, students differentiate between congruent and similar triangles. They use mathematical reasoning to solve word problems.
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Interactive
CK-12 Foundation

Angles of Elevation and Depression: Fly-By Calibration

For Students 9th - 12th Standards
Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.
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Lesson Plan
Willow Tree

Area of Common Geometric Figures

For Students 8th - 11th Standards
Scholars can use area formulas, but can they apply what they know about area? The lesson plan challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and...
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Activity
PBS

Terrific Trees

For Teachers 3rd - 8th
Engage in a shady activity to practice measurement techniques. Classes venture outside to collect measurements of various trees, using different strategies to measure the height, trunk circumference, width, and crown size. Then they...
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Lesson Plan
EngageNY

Truncated Cones

For Students 8th Standards
Learners examine objects and find their volumes using geometric formulas in the 21st installment of this 25-part module. Objects take the shape of truncated cones and pyramids, and individuals apply concepts of similar triangles to find...
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Lesson Plan
Curated OER

How Tall Is That Flag Pole?

For Teachers 6th - 8th
Students examine various triangles and discuss how similar triangles have sides that are proportional. They utilize an ancient Egyptian method to determine the height of a flagpole.