Relate area to the operations of multiplication and addition.
Measurement and Data
Geometric measurement: Understand concepts of area and perimeter.
Relate area to the operations of multiplication and addition.
Measurement and Data
Geometric measurement: Understand concepts of area and perimeter.
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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.
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.
Use tiling to show that the area of a rectangle with whole-number side lengths π and π + π is the sum of π Γ π and π Γ π. Use area models to represent the distributive property in mathematical reasoning.
Understand that rectilinear figures can be decomposed into non-overlapping rectangles and that the sum of the areas of these rectangles is identical to the area of the original rectilinear figure. Apply this technique to solve problems in real-world contexts.
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
Relate volume to the operations of multiplication and addition and solve mathematical problems and problems in real-world contexts involving volume.
Find the volume of a right rectangular prism with whole-number 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 whole-number products as volumes (e.g., to represent the associative property of multiplication).
Understand and use the formulas π = π x π€ x β and π = π΅β, where in this case π΅ is the area of the base (π΅ = π x π€), for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths to solve mathematical problems and problems in real-world contexts.
Relate area to the operations of multiplication and addition.
Relate area to the operations of multiplication and addition.
Relate area to the operations of multiplication and addition.
Relate area to the operations of multiplication and addition.
Relate area to the operations of multiplication and addition.