Bell Ringer. Where must I go if I m 10 minutes late starting on Monday? DO THIS QUIETLY.

Transcription

1 Bell Ringer Where must I go if I m 10 minutes late starting on Monday? DO THIS QUIETLY. 1

2 Bell Ringer Where must I go if I m 10 minutes late starting on Monday? Answer: Main office for your tardy slip. 2

3 Daily Learning Target (DLT) January 4, 2013 I can remember, apply, and understand perimeter and area formulas for 2D Geometric Shapes. 3

4 Perimeter Any shape s perimeter is the outside of the shape like a fence around a yard. Free powerpoint template: 4

5 Perimeter To calculate the perimeter of any shape, just add up each line segment of the fence. 5

6 Perimeter Triangles have 3 sides add up each sides length

7 Perimeter Triangles have 3 sides add up each sides length =24 The Perimeter is 24 7

8 Perimeter A square has 4 sides of a fence

9 Perimeter A square has 4 sides of a fence =48 9

10 Perimeter Sometimes, problems may only give you two measurements for a square or rectangle. No problem use the formula for squares/rectangles (only!) 10

11 Remember Squares ALL sides are equal so if they give you one side, you know ALL the sides Length=the Largest side If they leave numbers out, they are equal to their opposite side. If they give you the bottom of a square/rectangle type shape then the top is the same Free powerpoint template: 11

12 Other shapes Just add up EACH segment 10 12

13 Other shapes Just add up EACH segment 10 8 sides, each side 10 so =80 13

14 Area Area is the ENTIRE INSIDE of a shape It is always measured in squares (sq. inch, sq ft) 14

15 AREA Square units means that that many squares fit inside that shape (if measured in feet it s feet if meters it s meters. In this example the area is 4 square units note 4 squares fit) units (ft, in, m) 15

16 Area of Squares/Rectangles Length x Width=Area 2 Length(2) xwidth(2) = 4 square units 16

17 Parallelogram Area Same idea as squares & rectangles, but they change the words to Base (length: bottom of shape) and height (width) 17

18 Parallelogram Area Area=Base x Height (Area=length x width) 5 Height (width) The diagonal line is NOT the height!!! 8 BASE (length) 18

19 Parallelogram Area Area=Base x Height (Area=length x width) 5 Height (width) The diagonal line is NOT the height!!! 8 BASE (length) Base 8 x Height 5 = Area 40 19

20 Parallelogram Area Area=Base x Height (Area=length x width) 7 Height (width) The diagonal line is NOT the height!!! 12 BASE (length) 20

21 Parallelogram Area Area=Base x Height (Area=length x width) 7 Height (width) The diagonal line is NOT the height!!! 12 BASE (length) Base 12 x Height 7 = Area 84 21

22 REAL formula for area of squares Area= S^2 Area= Side x Side (side squared) (just a different way of saying length x width) Side one Side two 22

23 Different Names/Same idea Length x Width = Area Side x Side = Area Base x Height = Area 23

24 Area of a Triangle ½ Base x Height = Area (It s ½ because ½ of the square is missing) Height 5 Base 8 Height Base 24

25 Area of a Triangle ½ Base x Height = Area (It s ½ because ½ of the square is missing) Height 5 Base 8 Base Height ½ Base x Height = Area ½ (8) x 5 = Area 4 x 5 = 20 25

26 Area of a Triangle ½ Base x Height = Area (It s ½ because ½ of the square is missing) Height 8 Base 3 Height Base 26

27 Area of a Triangle ½ Base x Height = Area (It s ½ because ½ of the square is missing) Height 5 Base 8 Base Height ½ Base x Height = Area ½ (8) x 3 = Area 4 x 3 = 12 27

28 Area of a Circle Pi= 3.14 Radius: from center (origin) of circle to ANY side Area= pi x (Radius x Radius) 28

29 Circumference of a Circle Perimeter/Circumference = π x diameter or Perimeter/Circumference = π x 2 x radius Pi(π) is always 3.14 Circumference is a fancy name for perimeter The diameter is a line from one side to the other side of a circle through its center point If the radius is 5, then the diameter is 10 29

30 Area of a circle Area = πr 2 Pi (π) = 3.14 and r =Radius 5 Radius 30

31 Area of a circle Area = πr 2 Pi (π) = 3.14 and r =Radius 5 Radius Area=3.14 x (5 x 5) = 78.5 Perimeter = 3.14 x 10 =

32 Area of a circle Area = πr 2 Pi (π) = 3.14 and r =Radius 4 Diameter 32

33 Area of a circle Area = πr 2 Pi (π) = 3.14 and r =Radius 4 Diameter Area=3.14 x (2 x 2) = Perimeter = 3.14 x 4 =

34 Find the Circumference of the circle Circumference = 2rπ Pi (π) = 3.14 and r =Radius 3 Radius 34

35 Find the Circumference of the circle Circumference = 2rπ Pi (π) = 3.14 and r =Radius 3 Radius Circumference = 2(3)(3.14)

36 Find the circumference of the circle Circumference = πd Pi (π) = 3.14 and d =Diameter 4 Diameter 36

37 Find the circumference of the circle Circumference = πd Pi (π) = 3.14 and d =Diameter 4 Diameter Circumference = 4(3.14)

38 You re Done Write a complete sentence in the margin of you notes to help you remember one thing you learned from today s lesson. 38

39 Closure: On the whiteboards write down the difference between finding the perimeter and area of 2D Geometric Shapes. 39