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MJ2

MJ2. Ch 11 Review. 18.5 m. Bellwork. Calculate the area of the circle. Round to the nearest 10 th . Use the formula A= π r 2. Note: To receive full credit you must write the problem and your answer. 18.5 m. Bellwork Solution. A= π r 2. A=3.14(9.25) 2. A=3.14(85.5625). A=268.66625.

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MJ2

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  1. MJ2 Ch 11 Review

  2. 18.5 m Bellwork • Calculate the area of the circle. Round to the nearest 10th. Use the formula A=πr2 Note: To receive full credit you must write the problem and your answer

  3. 18.5 m Bellwork Solution A=πr2 A=3.14(9.25)2 A=3.14(85.5625) A=268.66625 A=268.7 m2

  4. Assignment Review • None Note: Ch 11 Test _______________

  5. Before we begin… • Welcome back…I hope you had a great spring break! • Please take out a clean sheet of paper, put a heading on the sheet and get ready to work… • In today’s lesson we will review the concepts covered in chapter 11… • For this assignments you are to write the problem number, the problem, and your answer. • There will be a chapter 11 test tomorrow…

  6. Objective • Students will prepare for a chapter 11 test

  7. Finding the square of a number • In chapter 11 we covered finding the square of a number… • To find the square of a number you just multiply that number by itself Example Find 52 = 5 ● 5 = 25

  8. Your Turn • Find the squares of the following numbers: • 112 • 302 • 1502 Solutions 121 900 22,500

  9. Estimating the square root of a number • In chapter 11 we looked at estimating the square root of a number… • For this exercise you will use a calculator. Input the number and press the square root key. Round your number to the nearest whole number. Example: Estimate the Input 23 into the calculator and then press the square root key and you will get 4.7958315. Round to the nearest whole number and the solution will be 5

  10. Your Turn • Estimate the square root of the following to the nearest whole number Solutions 4. 10 5. 13 6. 23

  11. Pythagorean Theorem • In chapter 11 we also looked at the Pythagorean theorem, which compares the legs of a right triangle to the hypotenuse. • The formula is a2 + b2 = c2 • Reminder – it doesn’t matter which you call a or b. It does matter what you call c • When doing the Pythagorean theorem use the formula method

  12. Example a2 + b2 = c2 a2 + 242 = 252 a2 + 576 = 625 c a -576 -576 25 m 24 m a2 = 49 = a = 7 b x

  13. Your Turn • Calculate the missing side of the triangles. Round to the nearest 10th 7. 8. 32 m x ft 20 m 4 ft 8 ft x m Solution: 8.9 ft Solution: 25.0 m

  14. Area of Parallelograms • In chapter 11 we also looked at the area of a parallelogram • The formula is A = bh. Where b = base and h = height. • The height is perpendicular to the base • The clue to the base and height is the right angle symbol

  15. 6 ft 3 ft 12 ft Example A = bh A = 12(3) A = 36 ft2 This is the clue to the base & height

  16. 7 m 3.5 m 8 m Your Turn • Find the area of the parallelogram. Round to the nearest 10th. Use the formula A=bh 4 ft 9. 10. 1.5 ft 6 ft Solution: 28 m2 Solution: 9 ft2

  17. Area of a Triangle • In chapter 11 we discussed the area of a triangle. • The formula is A = ½ bh • Use the formula method to calculate area • Again, the right angle symbol is the clue to the base and height. • The height is perpendicular to the base.

  18. 12 m 8 m 5 m 7.5 m Example A = ½ bh A = ½ (7.5)(5) A = ½ (37.5) A = 18.75 m2 The right angle symbol is the clue to the base & height

  19. Your Turn • Calculate the area of the triangles. Round to the nearest 10th. Use the formula A = ½ bh 7.5 ft 11. 9 cm 12. 11 cm 3.5 ft 8 cm 5 ft 9 ft 12 m Solution: 44 cm2 Solution: 13.1 ft2

  20. Area of Trapezoids • In Chapter 11 we also covered the area of trapezoids • The formula is A = ½ h(b1 + b2) • Don’t forget that a trapezoid has 2 bases and the height is the distance between the 2 bases. • It doesn’t matter which base you call b1 or b2 • Again, the right angle symbol is the clue to the height & bases

  21. Example A = ½ h(b1 + b2) 6.5 cm b1 A = ½ 7(6.5 + 12.5) h 9.5 cm 9.5 cm A = ½ 7(19) 7 cm 7 cm A = ½ (133) b2 12.5 cm A = 66.5 cm2 The right angle symbol is the clue to the height & bases

  22. Your Turn • Calculate the area of the trapezoids. Round to the nearest 10th . • Use the formula A = ½ h(b1 + b2) 3 in 13. 14. 18 m 7.5 m 8.5 in 12 in 12 m 4 in 12 m 9.5 m 3 in Solution: 41 in2 Solution: 103.1 m2

  23. Area of Circles • We covered how to calculate the area of circles in the bellwork. • Reminder – the formula A=πr2 calls for the r (radius). If you are given d (diameter) you must convert it to radius by dividing by 2

  24. Assignment • At this point you should be comfortable with how to do all the concepts in chapter 11. • There is a direct correlation to your study habits and your performance on a test • Therefore, your homework is to do a study guide • Text p. 504 – 506 Section 11.1 through 11.6. Do the first 2 problems in each section only! • Label each section, write the problem and show how you got your answer. • This assignment is due tomorrow • I do not accept late assignments

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