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Khan Academy

Khan Academy: Use Pythagorean Theorem to Find Area and Perimeter

For Students 7th - 8th
Find the area and perimeter of triangles and quadrilaterals by first using the Pythagorean Theorem to find missing side lengths. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C Mutually Tangent Circles

For Teachers 9th - 10th Standards
Three circles are mutually tangent. Students are asked to find the total area of the circles plus the area inside where they meet. Students will need to know how to calculate the area of a circle, a sector of a circle, and an equilateral...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Circle Sandwich

For Teachers 8th Standards
Eighth graders are presented with a drawing of a large square inscribed by a circle which is itself inscribed by a second square. They are asked to find the area of the circle outside the smaller square and compare it to the area of the...
Activity
Texas Instruments

Texas Instruments: Heron's Formula

For Teachers 9th - 10th
This activity allows students to find the area of a triangle using Heron's formula.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Location! Location! Location!

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to Voronoi diagrams, which split a plane into regions corresponding to distances to given points. The lesson is framed in the context of splitting a city into...
Handout
Wolfram Research

Wolfram Math World: Midpoint

For Students 9th - 10th Standards
This MathWorld site offers a lesson on finding the midpoint of a line segment using a compass and finding the midpoint of the sides of a triangle. This site also has an interesting way of drawing two triangle with equal area by finding...
Handout
Calculator Soup

Calculator Soup: Isosceles Triangles Calculator

For Students 9th - 10th Standards
Use this calculator to find the sides, perimeter, area, semiperimeter, and altitude of an isosceles triangle.
Lesson Plan
OER Commons

Oer Commons: Polygons

For Teachers 7th
Seventh graders find the area of regular polygons, recalling what they already know about the area of geometric shapes and generalizing a formula for any regular polygon.
Activity
Maths Challenge

Maths challenge.net: Shaded Square

For Students 9th - 10th Standards
A problem of finding the fraction of a square that is shaded given criterion. Students will have to use their mathematical reasoning and triangle solving skills to solve this area problem.
Whiteboard
ClassFlow

Class Flow: Review of Area

For Teachers 3rd - 5th Standards
[Free Registration/Login Required] This flipchart is a review of calculating the area of squares, rectangles, and triangles for fifth graders. It also includes problems that work backwards from the area to find missing dimensions. It...
Activity
Texas Instruments

Texas Instruments: Triangulation Problem

For Teachers 9th - 10th Standards
In this Computer Algebra System (CAS) activity, students use 'landscape' paper and fold the top left corner of the page so that it just touches the bottom of the page. They calculate the area of the triangle formed by the bottom left...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C, G Srt Setting Up Sprinklers

For Teachers 9th - 10th Standards
In this task, students must decide where to place sprinklers on a lawn so that the maximum area of the lawn will be watered. To solve it, they must find areas of sectors of circles and use trigonometric ratios to solve right triangles....
Activity
Maths Challenge

Maths challenge.net: Maximum Square

For Students 9th - 10th Standards
A challenging proof like geometry of finding the square inscribed in a triangle.