MATH Ms. Becker

Transcription

1 MATH Ms. Becker

2 Warm-Up: Write down 2 goals you wish to complete in Unit 5. (Area and Volume) When finished, either prepare yourself to correct your test or prepare yourself for taking notes.

3 Agenda: Finish correcting tests Unit 5 Notes on Area (Self-Guided) Unit 5 Practice on Area Review the rest of the week

4 Unit 5 Notes Overview: Calculators Area of a Square Area of a Rectangle Area of a Triangle Area of a Trapezoid Area of a Composite Figure

5 Calculators You will be allowed to use Calculators for the remainder of the year in my class. Thank you for being patient and courteous when I did not allow the use of calculators. It was for your benefit in the end. Please grab a calculator at this time, if you have not already.

6 AREA OF A SQUARE

7 Area of a Square: Formula: A = s 2 {Hint!: Exponents are repeated multiplication } S = side Example { } Now let s practice!

8 Practice Problem #1: A = s 2 inches

9 Answer to P1: A = 49 in 2

10 Practice Problem #2 A = s 2 Remember! When multiplying decimals, multiply, then count the number of decimals in the problem and that s how many decimal places go in the product.

11 Answer to P2: A= 1.44 yards 2

12 Practice Problem #3 A = s cm 2 3 cm Don t forget to simplify!

13 Answer to P3 A = 4 9 cm2

14 AREA OF A RECTANGLE:

15 Area of a Rectangle: Formula: A = bh A = area B = base H = height {What operation is between b and h?} Example: { } Now, let s practice!

16 Practice Problem #1 A = bh

17 Answer to P1: A = 24 yards 2

18 Practice Problem #2 A = bh *Remember! When multiplying fractions, convert to an improper fraction and THEN multiply.

19 Answer to P2: A = 42 in 2

20 Practice Problem #3 A = bh Remember! When multiplying decimals, multiply, then count the number of decimals in the problem and that s how many decimal places go in the product.

21 Answer to P3: A = cm 2

22 AREA OF A TRIANGLE:

23 Area of a Triangle: Formula: A = 1 2 bh A = area B = base H = height Example { } Now let s practice!

24 Practice Problem #1 A = 1 2 bh

25 Answer to P1 A = 24in 2

26 Practice Problem #2 A = 1 2 bh

27 Answer to P2 A = 60cm 2

28 Practice Problem #3 A = 1 2 bh Remember! When multiplying decimals, multiply, then count the number of decimals in the problem and that s how many decimal places go in the product.

29 Answer to P3: A = 7mm 2

30 AREA OF A TRAPEZOID:

31 Area of a Trapezoid: Formula = A = 1 h b1 + b2 2 A = area H = height B1 = Base 1 B2 = Base 2 Example { } Now let s practice!

32 Practice Problem #1 A = 1 2 h b1 + b2 Meters (m) Meters (m) Meters (m)

33 Answer to P1 A = 119m 2

34 Practice Problem #2 A = 1 2 h b1 + b2 Remember! When multiplying decimals, multiply, then count the number of decimals in the problem and that s how many decimal places go in the product.

35 Answer to P2 A = 21.25cm 2

36 Practice Problem #3 A = 1 2 h b1 + b2 Remember! When multiplying decimals, multiply, then count the number of decimals in the problem and that s how many decimal places go in the product.

37 Answer to P3: A = m 2

38 AREA OF A COMPOSITE FIGURE:

39 Area of a Composite Figure: How do you think you would find the area of the figure below given how to find the area of different shapes? Hint! Try breaking it down into different shapes that you know how to find the area for.

40 Area of a Composite Figure: I would break it down into 3 shapes:

41 Area of a Composite Figure: Now, I would find the lengths that are missing: 2in 2in

42 Area of a Composite Figure: Now, I would find the area of the 3 Shapes A = 4 3 A = 12in 2 A = 2 2 A = 4in 2 A = 3 2 A = 9 in 2

43 Area of a Composite Figure: Now, I would add up all the areas of the figure. A = A = 25in 2

44 Area of a Composite Figure: Try this one on your own.

45 Answer to Practice: A = 99m 2

46 When finished: Please place your notes in your binder and study them tonight. Thank you!