Squares on a Triangle
High schoolers explore the concept of triangles. In this triangle lesson, students determine whether a triangle is acute, right, or obtuse using the Pythagorean theorem. High schoolers derive the law of cosines from the Pythagorean theorem.
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Constructing a square inscribed in a circle
Here is an activity that focuses on the actual construction of the square inscribed in a circle. The lesson allows for the use of dot paper or graph paper with straight edges and protractors, or dynamic geometry software programs. After...
8th - 11th Math CCSS: Designed
Tile Patterns I: Octagons and Squares
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
7th - 9th Math CCSS: Designed
New Review Special Right Triangle 45-45-90: Lesson
Square roots connect squares and right triangles. Using the Pythagorean Theorem, the video shows the relationship between the sides and hypotenuse of a 45-45 right triangle. The portion of a larger geometry playlist applies the...
4 mins 8th - 11th Math
New Review Squaring the Triangle
Teach budding mathematicians how to square a triangle with an interactive that shows a graphical proof of the Pythagorean Theorem. Pupils alter the lengths of the legs using sliders. Using the inputted lengths, the applet displays the...
8th - 12th Math CCSS: Designed
Lengths of Triangle Sides Using the Pythagorean Theorem: Find the Missing Side
What is the relationship between the sides of a right triangle? Learners use an interactive to create models of right triangles and view the relationship between the lengths of the sides. They finish by using the Pythagorean Theorem to...
8th - 12th Math CCSS: Adaptable
Area Between Curves: Income and Expenses
Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the...
11th - Higher Ed Math