Examples for

Common Core Math: Grade 8: Geometry

In eighth grade, students explore congruence and similarity in the context of transformations of two-dimensional figures in the coordinate plane, including rotations, reflections, translations and dilations. Students explore which transformations preserve the dimensions of the original figure (rotations, reflections and translations) and which transformations produce a scaled image that is similar, but not congruent, to the original figure (dilations). Students explore and justify properties of triangles, including the Pythagorean theorem, and use right triangles to compute distances between points in the plane. Students also compute volumes of three-dimensional solids (cylinders, cones and spheres).

Common Core Standards

Get information about Common Core Standards.

Look up a specific standard:

CCSS.Math.Content.8.G.A.1
eighth grade common core standard G.B.8

Search for all eighth grade standards in a domain:

geometry common core standards taught in 8th grade

Volume

Compute and relate volumes of three-dimensional solids.

Find the volume of a cylinder (CCSS.Content.Math.8.G.C.9):

volume of cylinder with height = 4 and radius = 2

Find the volume of a cone (CCSS.Content.Math.8.G.C.9):

volume of cone with height 4 and radius 2

Find the volume of a sphere (CCSS.Content.Math.8.G.C.9):

volume of a basketball

Pythagorean Theorem

Explore and apply the Pythagorean theorem.

View the statement of the Pythagorean theorem (CCSS.Math.8.G.B.6):

Pythagorean theorem

Solve for a missing side length of a right triangle (CCSS.Math.8.G.B.7):

height of triangle with width 3 and hypotenuse 5
hypotenuse of a triangle with legs 5 and 12

Compute the distance between two points (CCSS.Math.8.G.B.8):

distance between (2,3) and (5,4)
distance between (4, 7) and (9, 2)

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Step-by-Step Solutions for Geometry

RELATED EXAMPLES

  • Common Core Math: Geometry
  • Common Core Math: Grade 8
  • Common Core Math: High School Geometry
  • Elementary Math