Lesson Plan
Curated OER

Pythagorean Theorem and Problem Solving

For Teachers 9th - 10th
Students use the Pythagorean Theorem to solve problems. In this geometry instructional activity, students identify the properties of a right triangle. They find the missing side and angles of a right triangle.
Lesson Plan
Curated OER

This Building is Tall

For Teachers 9th - 12th
High schoolers calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
Lesson Plan
Curated OER

How Far Am I Traveling

For Teachers 9th - 11th
Students solve for missing sides using the Pythagorean theorem. In this algebra lesson, students derive the six trigonometric values using the right triangle. They relate the Pythagorean theorem to the distance formula.
Lesson Plan
Curated OER

Amazing Consistent Ratios

For Teachers 7th - 9th
Students derive the six trigonometric identities. In 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, 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 ratios.
Lesson Plan
Curated OER

Distance Formula

For Teachers 7th - 9th
Students calculate the distance formula. For this geometry lesson, students find the distance between two points on a coordinate plane. They identify the four different quadrants.
Lesson Plan
Curated OER

Calculating the shortest distance between two points

For Teachers 8th
Eighth graders find the length of the third side of a right triangle.
Lesson Plan
Curated OER

Unit Circle Triangle

For Teachers 11th - 12th
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Lesson Plan
Curated OER

Calculating the Shortest Distance Between Two Points

For Teachers 9th
Ninth graders calculate the distance between two points.
Lesson Plan
Curated OER

Chambered Nautilus

For Teachers 6th - 8th
Students create sets of similar triangles which, when fixed together with a piece of Scotch tape, form a spiral-like, segmented shape, slightly similar to the cross section of the shell of a nautilus.
Lesson Plan
Curated OER

Tangram Perimeters

For Teachers 6th - 8th
Students work together to make figures out of tangram squares. In groups, they calculate the measurements they need and apply the Pythagorean Theorem. They complete a worksheet solving equations using the theorem and review their answers.
Lesson Plan
Curated OER

THE MEAN INDEX CARD

For Teachers 6th - 8th
Middle schoolers cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
Lesson Plan
Curated OER

Perimeter and Area of 2D Shapes

For Teachers 6th - 7th
Students find the perimeter and area of circles, triangles, and rectangles. In this perimeter and area lesson plan, the teacher gives students formulas for each shape and measurement and works through examples on the board. While no...
Lesson Plan
Curated OER

Can a Geometric Mean be Nice?

For Teachers 11th - 12th
In this Geometry instructional (work)sheet, students are instructed on how to find the geometric mean.  Students are then shown how the geometric mean is applied to proving similar triangles.
Lesson Plan
Curated OER

Slopes, Distances, and Map Keys

For Teachers 8th - 9th
Young scholars explore Rise and Run. In this math lesson, students use Rise and Run to find given slopes, they will use the slopes to calculate distances from point to point on graph paper.
Unit Plan
Cuemath

Cuemath: Hypotenuse Leg Theorem

For Students 9th - 10th
Explore the world of the hypotenuse leg theorem in this mini-lesson. Provides a definition, examples, and practice questions with answers that help with understanding their properties.
Unit Plan
Texas Education Agency

Texas Gateway: Similar Right Triangles: The Altitude to the Hypotenuse

For Students 9th - 10th
The student will apply and prove the definition of similar triangles and identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean.
Unit Plan
Khan Academy

Khan Academy: Hypotenuse, Opposite, and Adjacent

For Students 9th - 10th
In a right triangle, the hypotenuse is the longest side, an 'opposite' side is the one across from a given angle, and an 'adjacent' side is next to a given angle.
Handout
Wolfram Research

Wolfram Math World: Hypotenuse

For Students 9th - 10th
Definition of a hypotenuse including its word origin.
Handout
Math Open Reference

Math Open Reference: Hypotenuse

For Students 9th - 10th
Learn about the hypotenuse with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Activity
Texas Instruments

Texas Instruments: Walking the Fence Line, Then the Hypotenuse

For Teachers 9th - 10th
In this activity, students use the Geoboard to determine the length of the hypotenuse of a right triangles. [Requires Adobe Reader.]
Interactive
Mangahigh

Mangahigh: Shape: Use the Pythagorean Theorem to Find the Hypotenuse

For Students 9th - 10th Standards
Determine the hypotenuse of a triangle with the Pythagorean theorem.
Handout
University of Georgia

University of Georgia: Inter Math: Hypotenuse

For Students 6th - 8th
A description of the hypotenuse of a triangle is provided along with a visual representation.
Activity
Texas Instruments

Texas Instruments: Investigating Segments in a Right Triangle

For Teachers 9th - 10th Standards
In this activity, students review definitions of terms such as right triangle, hypotenuse, midpoint, vertices, and equidistant. They also discover an important characteristic of the midpoint of the hypotenuse.

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