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Geometry

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PPT presentation on Geometry and Area of Squares and Rectangles.

PPT presentation on Geometry and Area of Squares and Rectangles.

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Transcript

  • 1. What is Geometry? By Alan Kagan Lesson 1: Area of squares and rectangles
  • 2. Menu
    • Use the menu to the left to navigate around this PowerPoint to the various sections.
    • Key
    Exploration of Sides S Sources ? What is Geometry? Act. Area Activity Area of a Rectangle AREA Area of a Square AREA
  • 3. What is Geometry?
    • Geometry is the study of 2-D and
    • 3-D shapes.
    • Traits such as angles and the number of sides (or surfaces) are used to classify shapes.
    Click on the shapes to hear their names!
  • 4. How many sides do I have?
    • Click on the image below and count the sides of the square.
    Let's count them out loud! 1 2 3 4
  • 5. Count the sides…
    • Can you count the sides of the shapes?
    1 2 3 0 2 1 4 3
  • 6. X Sorry... Try Again
  • 7. Great Job!
  • 8. Great Job!
  • 9. Count the sides…
    • Can you count the sides of the shapes?
    6 7 8 5 18 15 24 21 Challenge!
  • 10. X Sorry... Try Again
  • 11. Great Job!
  • 12. Great Job!
  • 13. Area of a Square
    • How do we find area of a square?
    Length Width 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.)
  • 14. Area of a Square
    • Example:
    2 in. 2 in. 2 in. 2 in. = 4 sq. in. Square not drawn to scale
  • 15. Area of a Square
    • Now it’s your turn!
    • Find the area of the square below.
    5 in. 5 in. What is the area of this square? 5 sq. in. 15 sq. in. 25 sq. in. 35 sq. in. Square not drawn to scale
  • 16. X Sorry... Try Again
  • 17. Great Job!
  • 18. Area of a Square
    • Let’s try one more…
    • Find the area of the square below.
    1 ft. What is the area of this square? 1 sq. ft. 2 sq. ft. 4 sq. ft. 8 sq. ft. 1 ft. Square not drawn to scale
  • 19. X Sorry... Try Again
  • 20. Great Job!
  • 21. Area of a Rectangle
    • How do we find area of a rectangle?
    Length Width 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.)
  • 22. Area of a Rectangle
    • Example:
    2 in. 4 in. 2 in. 4 in. = 8 sq. in. Square not drawn to scale
  • 23. Area of a Rectangle
    • Now it’s your turn!
    • Find the area of the rectangle below.
    4 in. 8 in. What is the area of this rectangle? 4 sq. in. 8 sq. in. 16 sq. in. 32 sq. in. Square not drawn to scale
  • 24. X Sorry... Try Again
  • 25. Great Job!
  • 26. Area of a Rectangle
    • Let’s try one more…
    • Find the area of the rectangle below.
    5 ft. 25 ft. What is the area of this rectangle? 25 sq. ft. 75 sq. ft. 125 sq. ft. 175 sq. ft. Rectangle not drawn to scale
  • 27. X Sorry... Try Again
  • 28. Great Job!
  • 29. 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?
    Let's Find Out!
  • 30. How Many Squares Fit?
    • To start, it helps to look at the length and width of both squares.
    1 ft. 1 ft. 5 ft. 5 ft. Rectangle not drawn to scale
  • 31. How Many Squares Fit?
    • Now, how would you figure out how many red squares would
    • fit into the blue
    • square?
    1 ft. 1 ft. 5 ft. 5 ft. How many red squares do you think will fit into the blue square? How do you know this? Let's find out! Rectangle not drawn to scale
  • 32. How Many Squares Fit? 1 ft. 1 ft. 5 ft. 5 ft. Let’s count the number of red squares that can fit into the blue square. Rectangle not drawn to scale 1 2 3 4 5 6 7 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
  • 33. Why is it important to know area?
    • Gardening
    • Construction
    • Installing carpet, tiles
    • Table Cloths/ Sheets
    • Can you think of any more reasons?
  • 34. 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. )
    100 sq in. 10 in. x 10 in. = 100 sq. in. 10 in. 10 in. Square Window 24 in. Width 432 sq. in 18 in x 24 in.= 432 sq. in. 18 in. Rect. Desk Area Equation Length Shape Object
  • 35. 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