Weekly Overview

Weekly Topics

 The focus of this week’s instruction is to deepen students’ understanding of:

  • Multiplication
  • Area

Materials Needed

  • Student Print Packets for each day
  • Rulers
  • Straightedge
  • Square Centimeter Tiles
  • Square Inch Tiles
  • Whiteboard (Optional)

Standards Covered

3.MD.C.7-Relate area of rectangles 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. 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)
  4. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping

Additional Terms and Symbols

  • Array (a set of numbers or objects that follow a specific pattern:  a matrix)
  • Area (the amount of two-dimensional space in a bounded region)
  • Area model (a model for multiplication that relates rectangular arrays to area)
  • Commutative property (e.g., rotate a rectangular array 90 degrees to demonstrate that factors in a multiplication sentence can switch places)
  • Distribute (e.g., 2 × (3 + 4) = 2 × 3 + 2 × 4)
  • Geometric shape (a two-dimensional object with a specific outline or form)
  • Length (the straight-line distance between two points)
  • Multiplication (e.g., 5 × 3 = 15)
  • Rows and columns (e.g., in reference to rectangular arrays)
  • Square unit (a unit of area—specifically square centimeters, inches, feet, and meters)
  • Tile (to cover a region without gaps or overlaps)
  • Unit square (e.g., given a length unit, it is a 1 unit by 1 unit square)
  • Whole number (an integer, i.e., a number without fractions)

Materials List

The following materials list will be used for the entire four weeks: Materials List.

Alternative Video Links

The links in this document are for users who cannot access the links in the lesson plans.