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  1. Semester Review Fall – 2012 PAP

  2. Angles • Acute – • Right – • Obtuse – • Straight -

  3. Angles • Which angle will not represent an acute angle? A. 25° B. 76° C. 91° D. 1° • Give 5 examples of obtuse angles? • Draw a right angle and give real-life examples of right angles.

  4. Angles • What kind of Angle is N? • What kind of Angle is M? • * What kind of Angle is P and O?

  5. Protractor • Highlight the angle • Classify the angle • Find the exact

  6. Protractors

  7. Protractors • A parallelogram is shown below. • Find the measure of S to the nearest degree. • A 136° • B 124° • C 64° • D 56° Find the measure of T to the nearest degree.

  8. Graphing • What are the directions for plotting points on a coordinate grid? • What is an ordered pair? • What do we call (0, 0)?

  9. Graphing

  10. Graphing

  11. Graphing

  12. Prime Factorization • A way to write a number as the product of prime factors. (factor tree) 36 6 6 2 3 2 3 or x 2 3 3 2

  13. Prime Factorization • Find the prime factorization of 60. • F 32· 10 • G 2 · 3 · 10 • H 2 · 2 · 15 • J 22· 3 · 5 • Which of the following is a correct prime factorization of 44? • A • B • C • D

  14. Prime Factorization

  15. Least Common Multiple • The smallest common multiple of a set of two or more numbers. • LCM can be found by using: • Prime factorization • Upside down division • Making a list

  16. LCM • At a spring band concert, a prize was awarded to the person sitting in the chair numbered with the least common multiple of 12, 15, and 30. Find the number of the prizewinning chair. • F 60 • G 45 • H 30 • J 15 • Which of the following is the least common multiple that Valerie can use to add three • fractions with denominators of 6, 8, and 9? • A 48 • B 54 • C 72 • D 144

  17. LCM • Mai Le pays her grocery bill every 15 days, her rent every 30 days, and her credit card bill every 20 days. On which day will she pay all three bills? • A 15th day • B 30th day • C 45th day • D 60thday • Mr. Samples and his 23 students are planning to have hot dogs at their class picnic. Hot dogs come in a package of 12 and buns come in a package of 8. What is the least number of packages of hot dogs and buns that Mr. Samples can buy so that each person can have 2 hot dogs? • A 2 packages of hot dogs & 3 packages of buns • B 3 packages of hot dogs & 2 packages of buns • C 4 packages of hot dogs & 6 packages of buns • D 6 packages of hot dogs & 4 packages of buns

  18. Greatest Common Factor • The largest number that divides evenly into two or more numbers. • GCF can be found by using: • Prime Factorization • Upside down division • Making a list

  19. GCF • On a field day, 84 girls and 78 boys will be split into teams. Each team will have the same number of girls and the same number of boys. At most, how many teams are possible? • A 2 • B 6 • C 13 • D 14 • Which number is NOT a common factor of 12 and 30? • A 2 • B 3 • C 5 • D 6

  20. GCF • Eva has 24 blue beads, 36 gold beads, 60 silver beads, and 72 purple beads. She is planning to decorate jewelry boxes for her friends and wants to distribute the beads evenly among the jewelry boxes. What is the greatest number of jewelry boxes that Eva can make? • A 6 • B 8 • C 10 • D 12 • A stamp club president distributes equally one set of 18 animal stamps and another set of 30 sports stamps to members present at a meeting. Not stamps were left over. What is the greatest number of club members that were at the meeting? • A 2 • B 3 • C 6 • D 9

  21. Order of Operation • Rules describing what sequence to use in evaluating expressions: • (1) Evaluate parenthesis first • (2) Multiply or divide left to right • (3) Add or subtract left to right. ( ) X or ÷ + or -

  22. . Order of Operation • Which expression would give 18 as the correct answer? • A 9 + 5 – 3 · 4 • B 2 • 6 + 10 ÷ 5 • C 5 – 3 + 6 • 2 • D 12 • 2 ÷ 3 + 10

  23. Changing a Fraction to a Decimal • Look at the denominator to see if you can change it to a power of ten (10, 100, 1000, etc…) • If you can change * If you cannot change the the denominator, then also denominator then divide the change the numerator by numerator by the denominator multiplying it by the same factor used to change the denominator. D N

  24. Fraction to a decimal • Stephanie bought a basketball on sale for $15, which was off the original price. What • decimal represents the discount she received? • F 0.05 • G 0.15 • H 0.20 • J 0.50

  25. Changing a Fraction to a Percent • Percentage is out of 100, so if possible change the denominator to 100. • Change the numerator by multiplying it by the same factor that was used to change the denominator to 100. • The numerator will be the percent. • If you cannot change the denominator to 100 then you will need to divide the numerator by the denominator and then multiply it by 100.

  26. Fractions to Percents • By the end of August, the school counselors had completed 12 out of every 16 student requested schedule changes. What percentage of the schedule changes had NOT yet been completed? • 75% • 66% • 28% • 25%

  27. Changing a Percent to a Decimal • Divide the percent by 100. • Example: 17% 100 17

  28. Changing a Percent to a Decimal • Johann spends 45% of his day either at school or doing homework. What decimal best represents the percent of time that Johann spends on school-related activities? • A 0.045 • B 0.45 • C 4.5 • D 45.0

  29. Changing a Percent to a Fraction • Put the percent over 100 and then simplify. • Example: 45% 459 100 20

  30. Changing a Percent to a Fraction • Maria has saved 65% of the total cost of a trip to California. What fractional part of the trip’s cost does she still need to save? • A • B • C • D • Franklin’s Vending Service received a shipment of soda for its machines. The • manager determined that 15% of the cans were damaged. What fraction of the cans were damaged? • F • G • H • J

  31. Changing a Decimal to a Percent • Multiply the decimal by 100 • Example: .47 100 X .47 = 47%

  32. Changing a Decimal to a Percent • Change: • 0.125 .65 .01 • .11 1.50

  33. Changing a Decimal to a Fraction • Read the decimal and write it as a fraction • Example: .45 is read as 45 hundredths • .231 is read as 231 thousandths

  34. Changing a Decimal to a Fraction • Jeremy runs track for his school. After school during practice, he ran a total of 4.25 miles. Which mixed number is the same as the number of miles that Jeremy ran? • A 4 • B 4 • C 4 • D 4

  35. Angle Sums • The Angle Sum of a triangle is 180° • The Angle Sum of a Quadrilateral is 360°

  36. Angle Sums

  37. Angle Sums

  38. Area • Area (rectangle) – length x width • Area (square) - (side x side) • Area (triangle) – base x height 2

  39. Area

  40. Area • Find the area of each polygon. • 15 cm • 7cm • H = 20m 12mm • 12 m 12mm

  41. Perimeter • The distance around a polygon

  42. Perimeter • Find the perimeter of each polygon: • 25 cm • 10 cm 12m 12m • 10 m

  43. Perimeter • Carolina has been asked to use an inch ruler to measure the side lengths of a polygon. She measures two sides of length 19 inches, three sides of length 21 inches, and 1 side of 17 inches. Find the approximate perimeter of the polygon. • A 11.5 feet • B 10 feet • C 9.10 feet • D 6 feet

  44. Expressions from a table The side length and perimeters of some regular polygons are shown in the table below. What geometric figure is represented by the information in the table? A octagon B hexagon C rectangle D triangle

  45. Ratio • A comparison of two numbers or measures • BoysBoys:Girls Boys to Girls Girls

  46. Ratios • There were 14 boats and 42 people registered for a boat race. Which ratio accurately • compares the number of people to the number of boats? • F 2:6 • G 3:1 • H 7:21 • J 14:42 • If the ratio of boys to girls in the sixth-grade chorus is 2 to 3, which of these shows possible numbers of the boys and girls in the chorus? • A 20 boys, 35 girls • B 24 boys, 36 girls • C 35 boys, 20 girls • D 36 boys, 24 girls

  47. Ratios • An animal shelter currently has 20 cats and 25 dogs. What is the ratio of cats to dogs? • F 5 to 4 • G 4 to 9 • H 4 to 5 • J 1 to 5 • To make a particular strength of lemonade, one must mix 12 parts of lemonade concentrate to 21 parts of water. Which ratio accurately compares the number of parts of water to the number of parts of lemonade concentrate? • A 14:8 • B 4:7 • C 29:20 • D 12:21

  48. Proportions • Two equivalent ratios • Boys1224 • Girls 16 32

  49. Proportions • Josie’s horse eats about 2 bales of hay every 5 days. About how many bales of hay does Josie’s horse eat in 31 days? • A 8 • B 12 • C 16 • D 78 • The ratio of red rosebushes to yellow rosebushes in the school garden is about • 3 to 4. If there were 36 yellow rosebushes, about how many red rosebushes would • there be? • F 36 • G 32 • H 27 • J 12