Unit 7 Understanding Area and Perimeter

In Unit 7 students will:

  • 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.
  • 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 x b  and a x 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.
  • Solve real world and mathematical problems involving perimeters of polygons, including the perimeter given the side lengths, finding the unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

By the end of Unit 7 your child should be able to answer the following questions.

  • How will recognizing area of plane figures help me understand concepts of area measurement?
  • How will understanding multiplication and addition help me to better relate to the concept of area?

The following videos help to explain some of the topics covered in Unit 7:

  • Finding Area with Square Units

  • 2 Ways to Find the Area of a Rectangle

  • Find the Area of Rectilinear Shapes

  • Finding the Perimeter

  • Finding the Perimeter

  • Perimeter Song

  • Finding the Perimeter of Rectilinear Shapes