# 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 Example: pattern blocks are used to cover the outline of a figure (covering the area) • 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 • 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: a) b) c) • 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. b)
Use red and blue pattern blocks only to make a shape with an area of 14 green pattern blocks. • 3.
Understanding area using tangrams
For tangrams, the area unit is a small right-angle triangle. What is the area of the given shape in number of triangles?
a) b) c) • 4.
Area by counting unit squares
Count the number of unit squares to find the area. Give the answer in unit squares.
a) b) c) • 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) b) c) 