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Illustrative Mathematics

Converse of the Pythagorean Theorem

For Teachers 7th - 9th Standards
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider...
Lesson Plan
Curated OER

Discover the Pythagorean Theorem

For Teachers 6th - 8th
Learners explore the Pythagoras theorem. In this geometry lesson, students make right triangles and identify the parts of the triangle. Learners complete measurements of the sides of the triangle.
Lesson Plan
Curated OER

Pythagorean Theorem: Algebra/Geometry Institute Summer 2010

For Teachers 7th - 9th
Students solve Pythagorean theorem problems.  in this Pythagorean theorem lesson, students read real world problems, draw diagrams, and then solve with the Pythagorean theorem.  They define hypotenuse and leg.  students...
Lesson Plan
Curated OER

Pythagorean Theorem Spreadsheet

For Teachers 6th - 8th
Studetns use a spreadsheet to organize data on the sides of a triangle. They use the Pythagorean Theorem and the If then spreadsheet function to decide whether the three sides determine a right triangle. Young scholars work individual...
Worksheet
Mathematics Assessment Project

Jane's TV

For Students 6th - 8th Standards
Jane wants a new television, but she's not sure what size to buy! Your middle schoolers can figure it out when they apply the Pythagorean theorem. Produced especially for meeting Common Core standards in geometry, this activity appeals...
Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 6th - 8th
Need a few extra examples on using the Pythagorean Theorem? Here is a lesson plan that uses pictures of New York City’s buildings as a model, and young architects find the height of the building. Consider adding more examples to further...
Lesson Plan
Curated OER

Algebra/Geometry Institute Summer 2009 - Triangles and the Pythagorean Theorem

For Teachers 7th
Seventh graders find the perimeter and area of triangles.  In this finding the perimeter and area of triangles lesson plan, 7th graders find the perimeter and area of triangles given two sides.  Students find the missing side...
Worksheet
Curated OER

Fish Tale

For Students 7th - 10th Standards
Here is a cute problem that requires visualizing two-dimensional shapes within a three-dimensional object, and using properties of triangles and the Pythagorean theorem to solve a real-world problem. There is a small mistake in this...
Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 7th - 10th
Learners find the different ratios of a triangle. In this geometry lesson, students use the Pythagorean Theorem to solve for missing sides and angles on a right triangle. They use a robot to create a right triangle.
Lesson Plan
Curated OER

The Right Stuff

For Teachers 7th - 9th
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
Lesson Plan
Curated OER

The Pythagorean Theorem

For Teachers 7th
Seventh graders relate the Pythagorean theorem to the real world. In this algebra lesson plan, 7th graders identify important properties of the Pythagorean theorem and use it to solve word problems. They create a step by step plan...
Lesson Plan
Curated OER

Flying with Pythagoras

For Teachers 7th - 10th
A lengthy narrative about Pythagoras and his students precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided. 
Worksheet
Math Mammoth

Pythagorean Theorem; Math Mammoth.com

For Students 7th - 8th
In this math worksheet, students check to see if two triangles are right triangles by using the Pythagorean theorem. When given two sides of a right triangle, students find the third side. They use the Pythagorean theorem to find the...
Lesson Plan
Curated OER

Special Right Triangles

For Teachers 7th - 9th
Students identify the different parts of a right triangle. In this geometry instructional activity, students use the Pythagorean Theorem to identify missing sides and angles of a right triangle. They work with irrational and rational roots.
Lesson Plan
Curated OER

Slope Right Up

For Teachers 6th - 8th
Students use triangles to find the length and slope of each side. After connecting the vertices, they add points based on their specific instructions. They use the Pythagorean Theorem to complete a worksheet to end the lesson.
Activity
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Curated OER

Task: Grain Storage

For Teachers 7th - 10th Standards
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Lesson Plan
Curated OER

Diagonal Lengths

For Teachers 6th - 8th
Middle schoolers collect, organize, and analyze data while studying the Pythagorean Theorem, measure length and width of several rectangular objects, and compare the measured results to the calculated results.
Worksheet
Raytheon

Understanding Triangles

For Students 6th - 8th
In this understanding triangles instructional activity, students read 6 pages of examples and explanations about identifying triangles, determining length of sides and degrees of angles, including the hypotenuse, then answer 28...
Worksheet
Yummy Math

Steep Hikes

For Students 6th - 9th Standards
Grab your hiking gear and get ready for a math adventure! Learners explore the meaning of percent grade change, as compared to the slope in an excellent worksheet activity about hiking trails in the mountains of New Hampshire. They...
Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 7

For Students 6th - 8th Standards
In need of an all-inclusive seventh grade math resource? Packed full of the topics necessary for Pre-Algebra the packet includes practice problems with different difficulty levels. It works great for any supplemental use needed...
Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 8

For Students 7th - 9th Standards
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire...
Worksheet
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Curated OER

Practice: Word Problems

For Students 5th - 7th Standards
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...
Lesson Plan
Curated OER

Amazing Consistent Ratios

For Teachers 7th - 9th
Learners derive the six trigonometric identities. For this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Lesson Plan
Curated OER

Trig is SOH Easy!

For Teachers 7th - 10th
Students derive the six trigonometric identities. In this trigonometry lesson plan, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent...

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