area

Each course contains three components:

  • Skills Application

    Instructional Objectives: The Skills Application video component introduces area reasoning, problem solving and identification for trades application.
    Learning Materials:: 7 episodes of instructional videos

    Episode 16 | Definition of Area   [01:35]
    Episode 17 | Exponents: Squares and Square Roots   [04:14]
    Episode 18 | Area Conversion between Imperial & Metric   [04:13]
    Episode 19 | Calculating Area of Rectangles   [01:28]
    Episode 20 | Calculating the Area of Circles   [01:57]
    Episode 21 | Calculating the Area of Triangles   [01:42]
    Episode 22 | Calculating the Area of 2-D Composite Shapes   [02:42]

  • Step-by-Step

    Instructional Objectives:: The Step-by-Step video component shows how to practically apply the area principals introduced previously to working examples.
    Learning Materials:: 7 episodes of instructional videos

    Episode 16 | Definition of Area   [01:35]
    Episode 17 | Exponents: Squares and Square Roots   [04:14]
    Episode 18 | Area Conversion between Imperial & Metric   [04:13]
    Episode 19 | Calculating Area of Rectangles   [01:28]
    Episode 20 | Calculating the Area of Circles   [01:57]
    Episode 21 | Calculating the Area of Triangles   [01:42]
    Episode 22 | Calculating the Area of 2-D Composite Shapes   [02:42]

  • Worksheets

    Instructional Objectives:: These worksheets provide detailed, area-related problem-solving examples to foster critical, independent thinking.
    Learning Materials:: 7 episodes of instructional videos

    Episode 16 | Definition of Area   [Level 1, 2, Advanced]
    Episode 17 | Exponents: Squares and Square Roots   [Level 1, 2, 3]
    Episode 18 | Area Conversion between Imperial & Metric [Level 1, 2, 3]
    Episode 19 | Calculating Area of Rectangles   [Level 1, 2, 3, Advanced]
    Episode 20 | Calculating the Area of Circles   [Level 1, 2, 3, Advanced]
    Episode 21 | Calculating the Area of Triangles   [Level 1, 2, 3, Advanced]
    Episode 22 | Calculating the Area of 2-D Composite Shapes   [Level 1, 2, 3, Advanced]

 
 
 

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Definition of Area
Definition of Area

A Short Review...

Area or surface area means surface coverage. Shapes and objects have surfaces. In everyday context the idea of area might be expressed using different words, such as lot size, roof size, bed size, shirt size, wire size.

This coverage is usually measured in square shapes such as square feet, square meters, square inches.

Exponents: Squares and Square Roots
Exponents: Squares and Square Roots

A Short Review...

Squaring a number or a unit of measure means multiplying it by itself.

52 = 5 · 5

m2 = m · m

Whole numbers, fractions, decimals can all be squared.

Area Conversion between Imperial and Metric
Area Conversion between Imperial and Metric

A Short Review...

To convert from square meters to square decimeter, square decimeters to square centimeters, and square centimeters to square millimeters, we use multiplication.

Example: 2 square meters = 2 x 100 = 200 square decimeters since 1 square meter = 100 square decimeter.

Calculating Area of Rectangles
Calculating Area of Rectangles

Area of a rectangle is calculated by multiplying its Length by its Width:

A = L · W

Depending on where a rectangle is, Length and Width may be replaced by 2 other measurements. The Area to be laminated on the edge of a counter top is better described by the words Thickness and Depth. (See the Advanced tab for more examples and explanation)

A = Th · D

Calculating the Area of Circles
Calculating the Area of Circles

The Area of a circle with radius r is:

A = πr²

Remember that π ≈ 3.14

Calculating the Area of Triangles
Calculating the Area of Triangles

The area of a triangle with base B and height H is one-half of its base times its height:

A = B × H ÷ 2

Example:

The area of a triangle with base 5 centimeters and height 4 centimeters equals:

A = 5 × 4 ÷ 2 = 10 cm²

Calculating the Area of 2-D Composite Shapes
Calculating the Area of 2-D Composite Shapes

Area can be calculated by breaking up a composite shape into simple shapes and adding up their areas. Watch the video to see calculating the area of a feature wall.

Parallelograms, Trapezoids, Hexagons, Octagons and other geometric shapes can be broken up into triangles and rectangles. Their areas can also be calculated by adding up the areas of those triangles and rectangles. See Episodes 19 & 21 on area of rectangles and triangles.

Further Studies
Further Studies
Where to go from here...

First of all congratulations!

Interested in Euclidean plane geometry for 2D computer graphics...or 3-dimensional Euclidean geometry for 3D computer graphics? Here are a few reference points from A to Z that may peak your interest.

NOTE: Select a thumbnail from above for a lesson unit description
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