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# Geometry

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PPT presentation on Geometry and Area of Squares and Rectangles.

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### Geometry

1. 1. What is Geometry? By Alan Kagan Lesson 1: Area of squares and rectangles
2. 2. Menu <ul><li>Use the menu to the left to navigate around this PowerPoint to the various sections. </li></ul><ul><li>Key </li></ul>Exploration of Sides S Sources ? What is Geometry? Act. Area Activity Area of a Rectangle AREA Area of a Square AREA
3. 3. What is Geometry? <ul><li>Geometry is the study of 2-D and </li></ul><ul><li>3-D shapes. </li></ul><ul><li>Traits such as angles and the number of sides (or surfaces) are used to classify shapes. </li></ul>Click on the shapes to hear their names!
4. 4. How many sides do I have? <ul><li>Click on the image below and count the sides of the square. </li></ul>Let's count them out loud! 1 2 3 4
5. 5. Count the sides… <ul><li>Can you count the sides of the shapes? </li></ul>1 2 3 0 2 1 4 3
6. 6. X Sorry... Try Again
7. 7. Great Job!
8. 8. Great Job!
9. 9. Count the sides… <ul><li>Can you count the sides of the shapes? </li></ul>6 7 8 5 18 15 24 21 Challenge!
10. 10. X Sorry... Try Again
11. 11. Great Job!
12. 12. Great Job!
13. 13. Area of a Square <ul><li>How do we find area of a square? </li></ul>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. 14. Area of a Square <ul><li>Example: </li></ul>2 in. 2 in. 2 in. 2 in. = 4 sq. in. Square not drawn to scale
15. 15. Area of a Square <ul><li>Now it’s your turn! </li></ul><ul><li>Find the area of the square below. </li></ul>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. 16. X Sorry... Try Again
17. 17. Great Job!
18. 18. Area of a Square <ul><li>Let’s try one more… </li></ul><ul><li>Find the area of the square below. </li></ul>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. 19. X Sorry... Try Again
20. 20. Great Job!
21. 21. Area of a Rectangle <ul><li>How do we find area of a rectangle? </li></ul>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. 22. Area of a Rectangle <ul><li>Example: </li></ul>2 in. 4 in. 2 in. 4 in. = 8 sq. in. Square not drawn to scale
23. 23. Area of a Rectangle <ul><li>Now it’s your turn! </li></ul><ul><li>Find the area of the rectangle below. </li></ul>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. 24. X Sorry... Try Again
25. 25. Great Job!
26. 26. Area of a Rectangle <ul><li>Let’s try one more… </li></ul><ul><li>Find the area of the rectangle below. </li></ul>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. 27. X Sorry... Try Again
28. 28. Great Job!
29. 29. How many squares can I fit? <ul><li>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? </li></ul>Let's Find Out!
30. 30. How Many Squares Fit? <ul><li>To start, it helps to look at the length and width of both squares. </li></ul>1 ft. 1 ft. 5 ft. 5 ft. Rectangle not drawn to scale
31. 31. How Many Squares Fit? <ul><li>Now, how would you figure out how many red squares would </li></ul><ul><li>fit into the blue </li></ul><ul><li>square? </li></ul>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. 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. 33. Why is it important to know area? <ul><li>Gardening </li></ul><ul><li>Construction </li></ul><ul><li>Installing carpet, tiles </li></ul><ul><li>Table Cloths/ Sheets </li></ul><ul><li>Can you think of any more reasons? </li></ul>
34. 34. In Class Activity <ul><li>Now, look around the room for square or rectangular objects. </li></ul><ul><ul><li>Use a ruler to measure the objects and use a calculator for any big numbers. </li></ul></ul><ul><ul><li>Make a chart and write down the name of the object, shape, length, width, equation and area of the object. </li></ul></ul><ul><li>( REMEMBER TO USE LABLES. ) </li></ul>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. 35. Sources <ul><li>http://en.wikipedia.org/wiki/Geometry </li></ul><ul><li>http://www.nctm.org/standards/focalpoints.aspx?id=326 </li></ul><ul><li>“ Mr. Smith’s Tiling Company” accompanying WebQuest made by Alan Kagan </li></ul><ul><ul><li>http://zunal.com/webquest.php?user=12191 </li></ul></ul>