distinguish between linear and area measures. 3.MD.C.5 Recognize that plane figures have an area and understand concepts Chapter 11 of area measurement. Measurement and Data (MD) a. Understand that 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. C. Geometric measurement: understand and b. Understand that a plane figure which can be covered without gaps or concepts of area and relate overlaps by n unit squares is said to have an area of n square units. area to multiplication and to 3.MD.C.6 Measure areas by counting unit squares (square centimeters, square Chapter 11 addition. meters, square inches, square feet, and improvised units). 3.MD.C.7 Relate area of rectangles to the operations of multiplication and Chapter 11 MD.C.7.a-d 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. Measurement and Data b. Multiply side lengths to find areas of rectangles with whole number side (MD) lengths in the context of solving real-world and mathematical problems and represent whole-number products as rectangular areas in mathematical C. Geometric measurement: reasoning. understand and apply concepts of area and relate c. Use tiling to show in a concrete case that the area of a rectangle with FOURTH area to multiplication and to whole-number side lengths a and b + c is the sum of a x b and a x c. Use area addition. models to represent the distributive property in mathematical reasoning. For example, in a rectangle with dimensions 4 by 6, students can decompose the rectangle into 4 x 3 and 4 x 3 to find the total area of 4 x 6. (See Table 3 - Properties of Operations) d. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the parts, applying this technique to solve real-world problems. Geometry (G) 3.G.A.3 Determine if a figure is a polygon. Chapter 12
distinguish between linear and area measures. Measurement and Data (MD) C. Geometric measurement: understand and concepts of area and relate area to multiplication and to addition. 3.MD.C.5 Recognize that plane figures have an area and understand concepts of area measurement. a. Understand that 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. Understand that 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. Chapter 11 3.MD.C.6 Measure areas by counting unit squares (square centimeters, square meters, square inches, square feet, and improvised units). Chapter 11 FOURTH Measurement and Data (MD) C. Geometric measurement: understand and apply concepts of area and relate area to multiplication and to addition. 3.MD.C.7 Relate area of rectangles 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 x b and a x c. Use area models to represent the distributive property in mathematical reasoning. For example, in a rectangle with dimensions 4 by 6, students can decompose the rectangle into 4 x 3 and 4 x 3 to find the total area of 4 x 6. (See Table 3 - Properties of Operations) d. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the parts, applying this technique to solve real-world problems. Chapter 11 MD.C.7.a-d Geometry (G) 3.G.A.3 Determine if a figure is a polygon. Chapter 12