Illustrative Mathematics
Illustrative Mathematics: 8.g.b.7: Spiderbox
The purpose of this task is for students to work on their visualization skills and to apply the Pythagorean Theorem. Aligns with 8.G.B.7.
Illustrative Mathematics
Illustrative Mathematics: 8.g Glasses
In this task, 8th graders are presented with a drawing of three glasses of different shapes and their measurements. They are asked to make several calculations that require the application of the Pythagorean Theorem and volume formulas....
Illustrative Mathematics
Illustrative Mathematics: 8.g Areas of Geometric Shapes With the Same Perimeter
Eighth graders are shown three polygons with equal sides and a circle. They are asked to find the area of each when the perimeter is one unit and to order them from smallest area to largest. Aligns with 8.G.B.7.
Illustrative Mathematics
Illustrative Mathematics: 8.g, G Srt Points From Directions
For this problem, students must carefully read the description of a triangle and a fourth point that lies outside it and draw a picture to represent the problem. They must then use the Pythagorean Theorem to find side lengths. Aligns...
Illustrative Mathematics
Illustrative Mathematics: 8.g Circle Sandwich
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...
Illustrative Mathematics
Illustrative Mathematics: 8.g Area of a Trapezoid
Eighth graders are given various dimensions of a trapezoid and are asked to find its area. This requires them to use the Pythagorean Theorem and to decompose the trapezoid into other polygons. Aligns with 8.G.B.7.
Illustrative Mathematics
Illustrative Mathematics: 8.g Two Triangles' Area
In this task, 8th graders are given the dimensions of two isosceles triangles and are asked to compare their areas. They must draw them and use the Pythagorean Theorem and the triangle area formula to solve the problem. Aligns with 8.G.B.7.
Illustrative Mathematics
Illustrative Mathematics: 8.g.7 Running on the Football Field
This task asks students to apply the Pythagorean Theorem to find the approximate number of yards two players ran during a football game and compare their distances. Aligns with 8.G.B.7.