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Lesson Plan
Curated OER

Indirect Proof and Inequalities in one Triangle

For Teachers 10th
For this geometry worksheet, 10th graders complete an indirect proof and order the sides or angles of a triangle. Also, students determine if a triangle can have sides with the given lengths. The two page worksheet contains twelve...
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Worksheet
Curated OER

To Be a Triangle Or Not To Be a Triangle?

For Students 10th
In this triangles worksheet, 10th graders solve and complete 10 different problems that include applying the Triangle Inequality Theorem. First, they use the illustrated triangles and the data table to test the theorem. Then, students...
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Lesson Plan
Curated OER

Triangle Inequality

For Teachers 4th - 6th
Students discover that the sum of the lengths of any two sides of a triangle must be greater than the third side. They are shown how a triangle is formed using three strips such as that the triangle is seen inside the strips.
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Lesson Plan
Curated OER

Triangle Inequality Theorems Investigation

For Teachers 9th - 10th
Students estimate and measure triangles. In this geometry lesson, students identify the relationship between three sides and a triangle. They use the inequality theorem to decide if a triangle will be formed or not.
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Lesson Plan
Curated OER

Solving Problems Using Triangle Inequality Theorem

For Teachers 6th
Sixth graders investigate triangles and the inequality theorem. They will collaborate in groups to determine the length of a longest side of a triangle. Then relate the size of the triangle to its angles using protractors, yard sticks,...
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Worksheet
Curated OER

Triangle Inequalities Homework

For Students 10th - 11th
In this geometry worksheet, students solve problems based on the triangle inequality theorem(s) in which determine if the given lengths can form a triangle, given two sides of a triangle determine the range of the third side, and order...
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Lesson Plan
Curated OER

Triangle Inequality Theorem

For Teachers 7th - 9th
Students identify properties of triangles. For this geometry lesson, students create triangles using three different segments. They make conjectures and predictions.
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Worksheet
Curated OER

Quiz: Triangle Inequality Theorem

For Students 7th - 8th
In this triangle inequality theorem activity, students determine the lengths of the sides of triangles and identify the measure of angles. This one-page activity contains ten triangle theorem problems.
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Lesson Plan
Curated OER

Drawing Straws

For Teachers 4th
Fourth graders examine the Triangle Inequality Theorem by investigating possible lengths of the sides of a triangle.
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Lesson Plan
Alabama Learning Exchange

Is It a Triangle?

For Teachers 9th - 12th Standards
High schoolers explore the concept of triangle inequalities.  In this triangle inequality lesson, students cut spaghetti noodles into given lengths.  High schoolers use the noodles to complete a worksheet about triangle inequalities. ...
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Unit Plan
Texas Education Agency

Texas Gateway: Making and Verifying Conjectures About Triangles

For Students 9th - 10th
Given examples of triangles and their component parts, the student will use explorations and concrete models to verify and apply the and find the sum of interior angles.
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Activity
Texas Instruments

Texas Instruments: Triangle Inequality Theorem

For Teachers 9th - 10th
In this activity, students will explore the concepts underlying the Triangle Inequality Theorem by comparing side lengths and angle measures of a triangle. They will use an interactive construction to see why this theorem is true.
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Activity
Texas Instruments

Texas Instruments: Triangle Inequality

For Teachers 9th - 10th
In this activity the Students can use Cabri Jr. to investigate the Triangle Inequality Theorm and make conjectures about their findings.
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Handout
University of Georgia

University of Georgia: Inter Math: Triangle Inequality

For Students 9th - 10th
This site has a description of the triangle inequality theorem along with a visual representation, and animation explaining the triangle inequality rule with the radii of circles at the segment endpoints. Links to related terms, more...
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Unit Plan
Khan Academy

Khan Academy: Constructing Triangles

For Students 6th - 8th Standards
Given the lengths of two sides of a triangle, what can we say about the third side? Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unit Plan
Math Open Reference

Math Open Reference: Triangles

For Students 9th - 10th Standards
A complete reference guide to types of triangles and triangle perimeter and area. It provides definitions and interactive animated activities that enhance further explanation.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Triangle Inequality Theorem

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students the Triangle Inequality Theorem and how to apply it.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Triangle Inequality Theorem

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Apply the Triangle Inequality Theorem to determine if three side lengths make a triangle.
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Handout
CK-12 Foundation

Ck 12: Geometry: Inequalities in Triangles Study Guide

For Students 9th - 10th
This study guide on triangle inequalities discusses comparing angles and sides, the Triangle Inequality Theorem, and the Hinge Theorem. It is available for download with free registration.
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Handout
Geometry Help

Geometry Help: Hinge Theorem

For Students 9th - 10th Standards
Provides a detailed definition of the Hinge Theorem with step-by-step instructions and methods for solving problems on your own.
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Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Triangle Inequality

For Students 9th - 10th
Dr. Math gives a hint of how to prove the triangle inequality theorem when answering a question posed about proving an absolute value problem using the triangle inequality theorem.