geometry
DESCRIPTION
PPT presentation on Geometry and Area of Squares and Rectangles.TRANSCRIPT
What is Geometry?
By Alan Kagan
Lesson 1:
Area of squares and rectangles
AREA
AREA
Exploration of Sides Sources
What is Geometry?
Menu
Use the menu to the left to navigate around this PowerPoint to the various sections.Key
Area Activity
Area of a RectangleAREA
Area of a SquareAREA
AREA
AREA
What is Geometry?
Geometry is the study of 2-D and3-D shapes.
Traits such as angles and the number of sides (or surfaces) are
used to classify shapes.
Click on the shapes to Click on the shapes to
hear their names!hear their names!
AREA
AREA
How many sides do I have?
Click on the image below and count the sides of the square.
AREA
AREA
Count the sides…
Can you count the sides of the shapes?
AREA
AREA
Count the sides…
Can you count the sides of the shapes?
AREA
AREA
Area of a Square
How do we find area of a square?
To find the area (or the amount of space on the surface of the shape), we use the simple equation:
Length x Width = Area(squared in.,
squared ft. etc.)
AREA
AREA
Area of a Square
Example:
Square not drawn to scale
AREA
AREA
Area of a Square
Now it’s your turn! Find the area of the square below.
What is the area of this square?
Square not drawn to scale
AREA
AREA
Area of a Square
Let’s try one more…Find the area of the square below.
What is the area of this square?
Square not drawn to scale
AREA
AREA
Area of a Rectangle
How do we find area of a rectangle?
To find the area of a rectangle (or the amount of space on the surface of the shape), we use the same simple equation:
Length x Width = Area (squared in.,
squared ft. etc.)
AREA
AREA
Area of a Rectangle
Example:
Square not drawn to scale
AREA
AREA
Area of a Rectangle
Now it’s your turn! Find the area of the rectangle below.
What is the area of this rectangle?
Square not drawn to scale
AREA
AREA
Area of a Rectangle
Let’s try one more…Find the area of the rectangle below.
What is the area of this rectangle?
Rectangle not drawn to scale
AREA
AREA
How many squares can I fit?
Now that you are an expert on area of squares and rectangles, can you use that knowledge to
estimate how many small squares you can fit into a
larger square?
AREA
AREA
How Many Squares Fit?
To start, it helps to look at the length and width of both squares.
Rectangle not drawn to scale
AREA
AREA
How Many Squares Fit?
Now, how would you figure out how many red squares would
fit into the blue
square?
How many red squares do you think will
fit into the blue square?
How do you know
this?
Rectangle not drawn to scale
AREA
AREA
How Many Squares Fit?
Let’s count the number of red squares that can fit into the blue square.
Rectangle not drawn to scale
AREA
AREA
Why is it important to know area?
Gardening Construction Installing carpet, tiles Table Cloths/ Sheets
Can you think of any more reasons?
AREA
AREA
In Class Activity
Now, look around the room for square or rectangular objects.
– Use a ruler to measure the objects and use a calculator for any big numbers.
– Make a chart and write down the name of the object, shape, length, width, equation and area of the object.
(REMEMBER TO USE LABLES.)
Object Shape Length Width Equation Area
Desk Rect. 18 in. 24 in. 18 in x 24 in.= 432 sq. in.
432 sq. in
Window
Square
10 in. 10 in. 10 in. x 10 in. = 100 sq. in.
100 sq in.
AREA
AREA
Sources
http://en.wikipedia.org/wiki/Geometry http://www.nctm.org/standards/
focalpoints.aspx?id=326
“Mr. Smith’s Tiling Company” accompanying WebQuest made by Alan Kagan– http://zunal.com/webquest.php?
user=12191