Module 4

Geometric Measurement: understand concepts of area and relate area to multiplication and to addition.

MGSE3.MD.5 Recognize area as an attribute of plane figures and understand concepts of area measurement.

1. 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.
2. A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.

MGSE3.MD.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

MGSE3.MD.7 Relate area to the operations of multiplication and addition.

1. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
2. Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning

3. whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reason

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

MGSE3.MD.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.