

Relate addition and subtraction to length.
2.MD.5
5. Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by
using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
3.MD.5
5. Recognize area as an attribute of plane gures and understand concepts of area measurement.
a. A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to
measure area.
b. A plane gure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square
units.

Geometric measurement: understand concepts of angle and measure angles.
4.MD.5
5. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand
concepts of angle measurement:
a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering
the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through
1/360 of a circle is called a “onedegree angle,” and can be used to measure angles.
b. An angle that turns through n onedegree angles is said to have an angle measure of n degrees.

5.MD.5
5. Relate volume to the operations of multiplication and addition and solve realworld and mathematical problems involving
volume.
a. Find the volume of a right rectangular prism with wholenumber side lengths by packing it with unit cubes, and show
that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height
by the area of the base. Represent threefold wholenumber products as volumes, e.g., to represent the associative
property of multiplication.
b. Apply the formulas V = l x w x h and V = b x h for rectangular prisms to nd volumes of right rectangular prisms with
wholenumber edge lengths in the context of solving realworld and mathematical problems.
c. Recognize volume as additive. Find volumes of solid gures composed of two nonoverlapping right rectangular prisms
by adding the volumes of the nonoverlapping parts, applying this technique to solve realworld problems.
