Geometric measurement: understand concepts of area and relate area to multiplication and to addition. 3.MD.5 Recognize area as an attribute of plane figures 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 figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units. Tasks 3.MD.5 Task 1: Antonio's Garden 3.MD.5 Task 2: Maggie's Jewelry Box

3.MD.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units). Tasks 3.MD.6 Task 1: Gino's New Room 3.MD.6 Task 2: Playgrounds 3.MD.6 Task 3: Play Areas

3.MD.7 Relate area to the operations of multiplication and addition. a. 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. b. 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. c. Use tiling to show in a concrete case that the area of a rectangle with 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 reasoning. d. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems. Tasks 3.MD.7 Task 1: All Areas 3.MD.7 Task 2: Micah and Nina's Rectangle

## Measurement and Data

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.3.MD.5Recognize area as an attribute of plane figures 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 figure which can be covered without gaps or overlaps by

nunit squares is said to have an area ofnsquare units.Tasks3.MD.5 Task 1: Antonio's Garden

3.MD.5 Task 2: Maggie's Jewelry Box

3.MD.6Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).Tasks3.MD.6 Task 1: Gino's New Room

3.MD.6 Task 2: Playgrounds

3.MD.6 Task 3: Play Areas

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

b. 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.

c. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths

aandb+cis the sum ofa×banda×c. Use area models to represent the distributive property in mathematical reasoning.d. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.

Tasks3.MD.7 Task 1: All Areas

3.MD.7 Task 2: Micah and Nina's Rectangle