Lesson Plan
Curated OER

The Pythagorean Theorem, the Distance Formula, and Slope

For Teachers 9th - 12th
Students explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.
Worksheet
Curated OER

Pythagorean Theorem Homework

For Students 9th - 10th
In this Pythagorean theorem instructional activity, students determine if given side lengths for right triangles, find the length of the missing side in right triangles, and find the length of the diagonals formed in boxes given side...
Worksheet
Curated OER

Seventeen Math Regents Exam Pythagorean Theorem Questions

For Students 8th - 10th
In this Pythagorean Theorem instructional activity, students solve seventeen Math Regents Exam questions using the Pythagorean Theorem.  The solutions are provided.
Worksheet
Curated OER

Isosceles Triangle Theorems

For Students 10th - 11th
In this isosceles triangle worksheet, students use theorems to determine if given triangles are congruent or not congruent. In addition, they identify the described triangles as isosceles or right. This one-page worksheet contains ten...
Worksheet
Curated OER

The Pythagorean Theorem

For Students 9th - 11th
For this geometry worksheet, students solve missing parts of a triangle using the Pythagorean Theorem. There are 19 questions with an answer key.
Lesson Plan
Curated OER

Application of the Pythagorean Theorem

For Teachers 9th - 10th
Students find the length of the hypotenuse using the Pythagorean Theorem. In this geometry lesson, students solve for the different parts of a right triangle. They work the first problem with-the teacher then work on their own.
Lesson Plan
Curated OER

You Can't Go Wrong with a Right Triangle 1

For Teachers 4th - 5th
Fourth and fifth graders study the Pythagorean Theorem and apply it to find the missing side of a right triangle.
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. 
Lesson Plan
Curated OER

Analyzing Congruence Proofs

For Teachers 9th - 12th Standards
Looking at numerous examples of triangles, each with different properties, geometers develop their understanding of congruency. They use the notation of a counter-example to disprove certain conjectures and prove geometric theorems and...
Instructional Video11:52
2
2
Flipped Math

Reference Triangles

For Students 9th - 12th Standards
It is all about where the side is located. Pupils use their knowledge of angles in standard position to find reference angles. They use the Pythagorean Theorem to find lengths along a terminal side of an angle to determine the exact...
Lesson Plan
EngageNY

Properties of Parallelograms

For Teachers 9th - 10th Standards
Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to...
Worksheet
Curated OER

Triangle Congruence

For Students 10th
In this triangle congruence worksheet, 10th graders solve 12 different problems that include determining triangle congruence. First, they prove that triangles are either congruent or similar. Then, students determine whether they can...
Worksheet
Curated OER

Countdown Challenge: Triangle Inequality Theorem

For Students 7th - 8th
In this triangle inequality instructional activity, students test the Triangle Inequality Theorem. They measure the sides of given triangles, identify the type of triangle, and name angles in the triangle. The one-page instructional...
Lesson Plan
Curated OER

The Pythagorean Theorem

For Teachers 7th - 10th
Learners research Pythagoras and learn how to apply his theorem. They solve real life problems using the theorem and demonstrate knowledge of exponents, equations, and radicals. Students include diagrams in their research papers.
Activity
1
1
Illustrative Mathematics

Midpoints of the Sides of a Paralellogram

For Teachers 9th - 12th Standards
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
Worksheet
Curated OER

Eighteen SSS or SAS Triangle Congruence Problems

For Students 9th - 10th
In this triangle congruence worksheet, learners state if triangles are congruent and if the congruence is based on side, side, side or the side, angle, side theorems in eighteen problems.  The solutions are found on the last two pages.
Assessment
Inside Mathematics

Rhombuses

For Teachers 9th - 12th Standards
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Lesson Plan
Curated OER

Geometry Practice: G.G.28 #1: Congruent Triangles

For Teachers 9th - 12th
In this congruent triangles worksheet, students solve four multiple choice problems. Students determine which statement is the appropriate reasoning to say that two triangles are congruent.
Lesson Plan
Curated OER

Triangle Inequality Theorem

For Teachers 8th - 10th
Students use the inequality theorem to solve triangles and their properties. In this geometry lesson, students are given spaghetti of different lengths and asked to create triangles. They conclude the necessary length needed to make a...
Lesson Plan
Curated OER

The Ambiguous Case

For Teachers 9th - 10th
Students investigate the relationship of triangles with its sides and angles. In this geometry lesson, students create visual on the graphing navigator as they study triangles. They move the sides around to create different angle-side...
Lesson Plan
Curated OER

Why Doesn't SSA Work?

For Teachers 10th - 11th
Students investigate the relationship between angles and their sides. In this geometry lesson, students prove why SSA does not work as a true angle side relationship theorem.
Worksheet
Curated OER

Trigonometric Triangles

For Students 9th - 11th
In this trigonometry worksheet, students find the missing angle and sides given the 6 trigonometric values. There are 6 questions with an answer key.
Lesson Plan
Curated OER

Side Splitter Triangles

For Teachers 8th - 11th
Students investigate the side splitter theorem. In this geometry lesson, students estimate and solve problems dealing with ratios and proportions. They identify angles created by lines that are parallel.
Lesson Plan
Curated OER

Isosceles Triangle Theorem

For Teachers 8th - 9th
In this geometry worksheet, students differentiate between isosceles and regular triangles. They calculate the area and perimeter of the triangle. There are eleven questions with an answer key.

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