Area - unit squares and pattern blocks

Area - unit squares and pattern blocks

Lessons

In this lesson, we will learn:

  • Area is the 2D measurement of the total space covered by a shape
  • The area of a figure can be covered by pattern blocks
  • The area of a figure made of unit squares is found by counting the total number of squares
  • The formula shortcut for the area of a rectangular figure made of unit squares

Notes:

  • Area is the measure of the amount of two-dimensional space covered by a shape

  • Pattern blocks are coloured polygons used in classrooms to help understand area.
    • There are four types of pattern blocks
    • The smallest pattern block (green triangle) can fit into the other pattern blocks
Area – Unit Squares and Pattern Blocks


Example: pattern blocks are used to cover the outline of a figure (covering the area)
Area – Unit Squares and Pattern Blocks

  • Area should be given as one type of unit only; all measurements are given in the same units
    • i.e. I would say “my book is as long as 2 as my index fingers”. I would not say “my book is the length of 1 of my fingers, 3 of my toes, and half a crayon long”.
    • In the previous example, it is better to give the area as 15 green blocks.

  • Unit squares are building blocks of figures and measure 1 unit on all sides; the area of one centimeter unit square is 1cm2. (For perimeter, these are called grid squares)
    • To find the area of a shape/figure, count the total number of squares
    • If the unit squares are arranged in a rectangular figure, use the formula: Area = length × width

Example: Find the area of this figure
Area – Unit Squares and Pattern Blocks
  • Introduction
    Introduction to Area - Unit Squares and Pattern Blocks:
    a)
    What is area?

    b)
    How to cover the area of a figure using pattern blocks (and tangrams)

    c)
    How to find the area of figures using unit squares


  • 1.
    Understanding area using pattern blocks
    Find the area of the shape made by mixed pattern blocks.

    Give the area in number of green pattern blocks, which look like: Area - Unit Squares and Pattern Blocks
    a)
    Area - Unit Squares and Pattern Blocks

    b)
    Area - Unit Squares and Pattern Blocks

    c)
    Area - Unit Squares and Pattern Blocks


  • 2.
    Create shapes using pattern blocks to show area
    Make a shape using the specific pattern blocks and with the given area.
    a)
    Use green and yellow pattern blocks only to make a shape with an area of 11 green pattern blocks.

    Area - Unit Squares and Pattern Blocks

    b)
    Use red and blue pattern blocks only to make a shape with an area of 14 green pattern blocks.

    Area - Unit Squares and Pattern Blocks


  • 3.
    Understanding area using tangrams
    For tangrams, the area unit is a small right-angle triangle. Area - Unit Squares and Pattern Blocks

    What is the area of the given shape in number of triangles?
    a)
    Area - Unit Squares and Pattern Blocks

    b)
    Area - Unit Squares and Pattern Blocks

    c)
    Area - Unit Squares and Pattern Blocks


  • 4.
    Area by counting unit squares
    Count the number of unit squares to find the area. Give the answer in unit squares.
    a)
    Area - Unit Squares and Pattern Blocks

    b)
    Area - Unit Squares and Pattern Blocks

    c)
    Area - Unit Squares and Pattern Blocks


  • 5.
    Area equations with multiplication
    Fill in the blanks for the rectangle made of unit squares.
    • Write a multiplication equation for the area
    • Give the area in unit squares
    a)
    Area - Unit Squares and Pattern Blocks

    b)
    Area - Unit Squares and Pattern Blocks

    c)
    Area - Unit Squares and Pattern Blocks