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Common Core Standards

Perimeter, Area, Volume, & Surface Area

Grade: 6th Grade
Standard:

MA.6.GR.1.3

Description:

Solve mathematical and real-world problems by plotting points on a coordinate plane, including finding the perimeter or area of a rectangle

Standard:

MA.6.GR.2.1

Description:

Derive a formula for the area of a right triangle using a rectangle. Apply a formula to find the area of a triangle.

Standard:

MA.6.GR.2.2

Description:

Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles.

Standard:

MA.6.GR.2.3

Description:

Solve mathematical and real-world problems involving the volume of right rectangular prisms with positive rational number edge lengths using a visual model and a formula.

Standard:

MA.6.GR.2.4

Description:

Given a mathematical or real-world context, find the surface area of right rectangular prisms and right rectangular pyramids using the figure’s net.

Standard:

Math.6.G.1 or 6.G.A.1

Description:

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Standard:

CC.2.3.6.A.1

Description:

Apply appropriate tools to solve real-world and mathematical problems involving area, surface area, and volume

Standard:

M06.C-G.1.1.1

Description:

Determine the area of triangles and special quadrilaterals (i.e., square, rectangle, parallelogram, rhombus, and trapezoid).

Standard:

Math.6.G.2 or 6.G.A.2

Description:

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Standard:

Math.6.G.3 or 6.G.A.3

Description:

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

Standard:

M06.C-G.1.1.2

Description:

Determine the area of irregular or compound polygons.

Standard:

M06.C-G.1.1.3

Description:

Determine the volume of right rectangular prisms with fractional edge lengths.

Standard:

Math.6.G.4 or 6.G.A.4

Description:

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Standard:

M06.C-G.1.1.4

Description:

Given coordinates for the vertices of a polygon in the plane, use the coordinates to find side lengths and area of the polygon (limited to triangles and special quadrilaterals).

Standard:

M06.C-G.1.1.5

Description:

Represent three-dimensional figures using nets made of rectangles and triangles.

Standard:

M06.C-G.1.1.6

Description:

Determine the surface area of triangular and rectangular prisms (including cubes).

6th Grade Math - Perimeter, Area, Volume, & Surface Area Lesson
 
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