Appendix
Common Core State Standards (CCSS)
The curriculum unit is designed to provide a framework to reteaching area focused on building students’ understanding of area. It aligns to the CCSS for math in grades third and fourth.
3.MD.C.5 The student will
Recognize area as an attribute of plane figures and understand concepts of area measurement.
3.MD.C.5.A The student will
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.
3.MD.C.5.B The student will
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.
3.MD.C.6 The student will
Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
3.MD.C.7 The student will
Relate area to the operations of multiplication and addition.
3.MD.C.7.A The student will
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.
3.MD.C.7.B The student will
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.MD.C.7.C The student will
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.
3.MD.C.7.D The student will
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.
3.MD.D.8 The student will
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.
4.MD.A.3 The student will
Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
Standards of Mathematical Practice
MP1.Make sense of problems and persevere in solving them.
Students will solve word problems involving rectilinear figures.
MP4.Model with mathematics
Students will apply multiplication and addition to solve area problems.
MP6. Attend to precision
Students will attend to precision with appropriate vocabulary to describe decomposing rectilinear figures.
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