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# Fast Track

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This is the powerpoint I use in the Fast Track Class. It is a review of the OPT, Essay writing, and Math.

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### Fast Track

1. 1. Fast Track 9 am – 12 p.m. 1-4 p.m. 5 - 8 p.m. What to expect on the O.P.T.(Official Practice Test for the G.E.D.)
2. 2. The Process GED OPT TABE TestLocatorTest You must complete Fast Track before you can take the O.P.T. If you miss a day, you will need to re- take Fast Track.
3. 3. Studies show that people who complete the Fast Track class score higher on the G.E.D.
4. 4. The Process 1. Fast Track 2. Official Practice Test Re:StartFocus Classes 3. Take G.E.D.
5. 5. Notes • This class only meets two times this week. • At the end of class today you will sign up to take the OPT next week. • You will get two opportunities to take the OPT test before you need to sign up for classes.“Success is not a doorway. It’s astaircase. Take it one step at a time.”
6. 6. O.P.T. Testing TimesSunday Monday Tuesday Wednesday Thursday Friday Saturday 9am - 1pm 3pm – 7pm If you need to get off work or arrange your schedule, you may call us when you are ready to make an appointment. *You need to make an appointment before you come into test.
7. 7. = 4 hours*The O.P.T. is required before the G.E.D. in Tennessee. = 8 hours*Currently you may only take the G.E.D. 3 times a year.* Different forms of the test are given each time.
8. 8. How the scoring works…… -You need an average of 450 to pass with no subject below a 410. -You only have to retake subjects you don’t pass- not the entire test. We will pay for you to take your G.E.D. if you pass!
9. 9. Test DaySleeping and eating well More brainpower!
10. 10. GED Subjects• Reading• Writing – Part 1: Grammar – Part 2: Essay• Social Studies• Science• Math – Part 1: (calculator) – Part 2: (no calculator)
11. 11. Language Arts: Writing Part:2 • Essay / 45minutes • Given a random essay prompt
12. 12. The essay has more weight!If you get a high essay score it can overcome missedquestions on the grammar portion of the test.
13. 13. 1 2 3 4Inadequate Marginal Adequate Effective • Answering the Question • Being Organized • Writing Clearly • Being specific
14. 14. 5 Paragraph Essay Introduction + Thesis Point 1 Point 2 Point 3 Conclusion
15. 15. Steps to Writing an Essay…. 1. Read the question carefully. 2. Answer the question. 3. Brainstorm three reasons why you think the way you do. 4. Write your Thesis or Blueprint. 5. Write your essay.
16. 16. Essay QuestionOur world today is changing fast. Sometimes it’shard to keep up with all the changes.Has modern technology, such as acomputer, made people’s lives better or worse?Write an essay to explain your view on that topic.Use your personal observations, experience, andknowledge to support your view.
17. 17. Steps to Writing an Essay…. 1. Read the question carefully. 2. Answer the question. 3. Brainstorm three reasons why you think the way you do. 4. Write your Thesis or Blueprint. 5. Write your essay.
18. 18. I believe modern technology has made people’s lives better.
19. 19. Steps to Writing an Essay…. 1. Read the question carefully. 2. Answer the question. 3. Brainstorm three reasons why for your answer. 4. Write your Thesis or Blueprint. 5. Write your essay.
20. 20. Brainstorm!• More organized •Medical Advancements• Broader world view •Facebook •Better entertainment• Easier communication •Internet• Videogames •Stay in touch with family• Better education Which points are examples• Faster transportation and which are reasons? Do not use examples as your• Access to information three points!
21. 21. Make sure your three points are different from each other.
22. 22. Steps to Writing an Essay…. 1. Read the question carefully. 2. Answer the question. 3. Brainstorm three reasons why for your answer. 4. Write your Thesis or Blueprint. 5. Write your essay.
23. 23. Thesis? = Question answered + 3 pointsI believe modern technology has made people’s lives betterbecause it keeps people organized, improveseducation, and makes communication easier.
24. 24. Steps to Writing an Essay…. 1. Read the question carefully. 2. Answer the question. 3. Brainstorm three reasons why for your answer. 4. Write your Thesis or Blueprint. 5. Write your essay.
26. 26. Essay Tips• Begin introduction with a question, story, or fact. End introduction with thesis.• Start each paragraph off with a transition and your key point. – Use exact wording from thesis. – DO NOT include details or stories in this sentence.• In your conclusion, do not state your thesis in one sentence. Spread it out over two or three sentences. – Include a final thought. – Don’t add new ideas here.
27. 27. Two main types of Questions:Opinion Personal
28. 28. What does it take to be a good parent?In your essay, describe the characteristics of a good parent. Givespecific details to explain your views. Use your personalobservations, experience, and knowledge.
29. 29. What has been the happiest day of your life so far?In your essay, tell what happened that made it so wonderful. Useyour personal observations, experience, and knowledge. The day my daughter was born because……..
30. 30. Today our workplaces and neighborhoods are composed ofpeople of diverse backgrounds. For this reason it is important forpeople to find ways to get along with each other.Write an essay explaining how people of diverse backgrounds canget along better.
31. 31. Math• Part 1 – 13 questions / 23minutes – Calculator allowed *most of the fractions are on this section• Part 2 – 12 questions / 22 minutes – No calculator allowed * you will need to be able to multiply, divide, add, and subtract (also know decimals)
32. 32. -No mixed numbers on answer sheet.-Write in the bubble TOO.-No negative numbers.
33. 33. Calculator Basics Guided Practice:• Addition• Subtraction 1. 23+46 =• Multiplication 2. 112-56 =• Division 3. 34X3 =• Powers• Roots 4. 115 ÷ 5 =• Decimals 5. 6² =• Fractions – reduce 6. 36 = – mixed numbers 7. 30.5 ÷ 5.5 =• Negative Numbers 8. 18/3 + 1 ½ = 9. -3 + (-4) =
34. 34. X, Y charts Coordinate PlaneVocabularyX axis = the horizontal axis ( )Y axis = the vertical axis ( ) 5 4 (2 , 4)Coordinates = are a set of points 3that give a specific location on a 2map or a chart. (x, y) -5 -4 -3 -2 -1 1For example: ( 2, 4) x• The first number is the x. Begin -1 1 2 3 4 5 at 0. Since the number is -2 positive move to the right to the -3 2. -4 -5• The second number is the y. y Start from the 2. Since the number is positive, move up 4.
35. 35. Guided Practice Directions: Plot the following points. 1. (0, 3) 2. (7, 1) 3. (-9, 6) 4. (-12, 0) 5. (-6, -5) 6. (9, -6)
36. 36. Example: Translation
37. 37. Most Common Types of Word Problems• Multi-step• Percent• Graphs & Tables• Algebra• Geometry• Ratios
38. 38. Statistic Key Terms• mean (average) = sum ÷ # of items 1,1,7, 3, 8, 9 = 1+1+7+3+8+9 ÷ 6• median = order from least to greatest » if two numbers are in the middle find their average 1,1,5,7,8,9 = 5+7 ÷ 2• mode = number that repeats the most 1,1,5,7,8,9 = 1
39. 39. Multi-Step Word Problems
40. 40. Multi-Step Word Problems1. Sam bought 8 gallons of gas that cost \$3.85 a gallon, and Sue bought 7 gallons of gas that cost \$3.95 a gallon. Who spent less money?Operation: MultiplicationSolution: Sam = 3.85 x 8 = Sue = 3.95 x 7 =
41. 41. Multi-Step Word Problems2. Mel and Pam are looking to buy a new car.They can buy a new BMW for \$90,000 incash, or they can make a down payment of\$1,500 and make monthly payments of \$4,500for 22 months. How much more money will theypay if they don’t pay in cash?Operation:Solution:
42. 42. Elapsed TimeElapsed time is the actual time it takes to complete a task. It isfinding the difference between to specific times, or adding to aspecific time. When adding, you may have to carry into anotherunit. When subtracting, you may have to borrow from anotherunit. This can make finding elapsed time very difficult for some.Below is a chart with the measurements of time: 1 minute = 60 seconds 1 hour = 60 minutes 24 hours = 1 day 7 days = 1 week
43. 43. Let’s Practice1. An airplane left the Nashville International Airport at 9:50 A.M. and arrived at Tampa, Florida at 11:45 A.M. Nashville is one hour behind Tampa. How long did the trip take?2. If Mrs. Tays leaves home at 6:45 A.M. and arrives at school at 7:51A.M., how long did it take her to get to school?3. Callie can create 200 widgets an hour. If she gets an order for 1200 widgets and takes a 30 minute break, what time will she be finished with her order if she starts at 9:00 a.m.
44. 44. Percent Word Problems
45. 45. Before solving percent problems, it is necessary to change the percent to a decimal. When given the percent, always move the decimal 2 places to the left. For example: 13% = .13 Tenths Ones Hundredths Tens Thousandths Hundreds 000 130 . decimalLet’s practice changing the following percents to decimals.1. 62% = _____ 2. 122% = _____ 3. 2% = _____
46. 46. At the end of problems, you may need to change from a decimal back into a percent. When you have a decimal, always move the decimal 2 places to the right to make a percent. For example: .6 = 60% Tenths Ones Hundredths Tens Thousandths Hundreds 000 600 . decimalLet’s practice changing the following decimals to percents.1. .33 = _____ 2. .6 = _____ 3. .03 = _____
47. 47. Percent Word Problems1. The price of a gallon of heating oil rose from\$1.60 a gallon to \$1.92. By what percent did theprice increase?A) 5%B) 10%C) 15%D) 20%E) 25%
48. 48. Increase / Decrease New – Original Original
49. 49. Percent Word Problems1. The price of a gallon of heating oil rose from\$1.60 a gallon to \$1.92. By what percent did theprice increase?A) 5%B) 10% 1.92 – 1.60C) 15% 1.60D) 20%E) 25%
50. 50. Percent Word Problems1. A t-shirt was on sale for \$10.50. This week theshirt price was further reduced to \$9.00. What isthe percentage of the price decrease?A) 5%B) 10%C) 14%D) 20%E) 25%
51. 51. Percent Word Problems2. A shirt is on sale for \$29.95. What will thesales tax on the shirt be if the sales tax rate is7.5%?A) \$1.99 3 parts:B) \$2.10 Percent = %C) \$2.25D) \$2.99 Part = % in dollarsE) \$3.10 Whole = Total Price
52. 52. One way to solve percent problems is to use the PercentPyramid. The pyramid will explain what operation isnecessary to solve the problem. In other words: Part •When given the PART, you must divide. ÷ •When given the WHOLE and the X PERCENT, you must Whole Percent multiply.
53. 53. The following charts provide key words that willhelp identify what each number represents in aword problem. Whole Part •Follows the word “of” •Follows the word “is” •Original •Discounted Price •Principal •Interest •Beginning •Down Payment •Overall •Amount Paid •Total •Taxes •Tips •Change in price (can be an increase or a decrease)
54. 54. Percent Word Problems2. A shirt is on sale for \$29.95. What will thesales tax on the shirt be if the sales tax rate is7.5%?A) \$1.99 3 parts:B) \$2.10 Percent = %C) \$2.25D) \$2.99 Part = % in dollarsE) \$3.10 Whole = Total Price
55. 55. Percent Word Problems3. Mr. Sanchez weighed 220 lbs. He went on adiet and lost 20% of his weight. Then he gained5 lbs back. What is his new weight?A) 205B) 185C) 181D) 165E) 160
56. 56. Percent Word Problems4. Which of the following expressions representsone month’s interest on an outstanding credit carddebt of \$2700 if the annual interest rate is 18%?A) \$2700 x 0.18 / 12B) 12 x 0.18 / \$2700C) \$2700 x 12 / 0.18D) \$2700 x 1.8 / 12E) \$2700 x 18 / 12
57. 57. Algebra• You will use order of operations to solve three kinds of problems: – Substitution – Solving for variable – Word Problems
58. 58. Algebra - Order of OperationsWhen expressions have more than one operation, we have to followrules for the order of operations: Purple Elephants Marching Down A Street Parenthesis Exponents Multiplying or Addition or Division Subtraction • First, do all operations inside parentheses. • Next, solve the exponents. • Working from left to right, do all multiplication and division (whichever comes first) • Finally, working from left to right, do all addition and subtraction. (whichever comes first)
59. 59. Order of Operations with a Calculator The GED calculator allows its users to[2+6] x 3 ÷ 6 solve problems that have multiple operations. The entire problem can be entered as it appears on the test. This is an excellent resource for checking your answers. For example: (2 + 6) x 3 ÷ 6 Enter: [(--- Enter: 2 + 6 Enter: ---)] Enter: x 3 ÷ 6 Equals: 4
60. 60. (6-4)² - 2 =(2) ²- 2 =4–2=2
61. 61. (6x2)(8÷2) ² =(12)(4) ² =(12)(16) =192
62. 62. 2(3 + 2 x 6 -1)² =2(3 + 12 – 1) ² =2(15 – 1) ² =2(14) ² =2(196) =392
63. 63. Guided Practice3(1+4) – 2(4) + 16 4
64. 64. Substitution• A substitution is a replacement for something else. what is: x-2 if x = 6 6 -2 = 4
65. 65. Algebra – Substitution1. If a = 1/2, what is the value of 6a-7?A) a=4B) a= -4C) a = 4.5D) a = 6.5E) a = -6.5
66. 66. Algebra – Substitution2. Evaluate 7a-3b if a = 2 and b = -2 aA) 2B) 4C) 10D) 20E) Not enough information is given
67. 67. Guided Practice3(x) – 2(4) + 16 if x = 4 x
68. 68. Algebra Rules1. What you do to one side you must do to the other. This keeps them equal.2. You must get the variable by itself to find out what number value it equals. The variable must be ALONE with nothing else touching it.
69. 69. Solving for variableOne Step: Multi-Step:-4 = x + 2 ½ n -4 = 9-2-2 -2 ½ n -4 = 7 x = -6 +4 +4 ½ n = 11Multi-Step: 2( ½ n) = 11(2)3 + 2n = 43 n = 22-3 -32n = 40 Like Terms: 2 2 2x + 3x + 4 = 6n = 20
70. 70. Algebra – Solving for Variables1. Solve for s in 6s – 1 = 2s + 1A) s=2B) s=1C) s = 2/3D) s=½E) s = 1/3
71. 71. Algebra – Word Problems1. Steve makes \$42 a week more than his wife, Karen. Karen’sfather, Joe, who lives with Steve and Karen, works part-time and makes\$150 a week less than Karen. Together, the three of them bring home\$1212 a week. How much does Steve make each week?A) \$440B) \$482C) \$492D) \$504E) \$524
72. 72. Geometry• You will use what you know about geometry to solve word problems and diagrams: – length of triangles (Pythagorean theorem) – angle measurements – area – perimeter *may be combined with algebra
73. 73. Pythagorean Theorem•Is used to find the third side of a right triangle when theother two sides are known.•Key Terms: c•a & b are known as the legs. a• c is known as the hypotenuse. b•The hypotenuse will always be the opposite side of theright angle.•The formula for solving Pythagorean problems is: a² + b² = c²
74. 74. Pythagorean Theorem•When you are solving Pythagorean wordproblems you will need to identify what sides youare looking for. The following words be used torefer to the hypotenuse, side c:The hyptenuse =• diagonal• direct distance• directly• any intermediary directions (NW,NE,SW,SE)• original destination
75. 75. Pythagorean Theorem1. Barnstable is directly west of Appleton by 48 miles, and Chatham is directly south of Barnstable. To go directly from Chatham to Appleton is 52 miles. How far is it from Barnstable to Chatham?A) 20B) 24C) 36D) 40E) 70
76. 76. Pythagorean Theorem2. A temporary brace is built to support a newwall. The brace is 12 m long. The brace toucheswall 10 m above the ground. How far out is thebrace from the wall?
77. 77. TrianglesWhy do I need to know about triangles?The GED Test will ask testers to identify missing angles. In order toanswer those questions, a person must have an understanding oftriangles and their characteristics. A triangle has three sides and three angles The three angles always add up to 180° a a + b + c = 180⁰ b c
78. 78. Equilateral, Isosceles and ScaleneThere are three special names given to triangles that tellhow many sides are equal. Equilateral Triangle Three equal sides Three equal angles, always 60° Isosceles Triangles Two equal sides Two equal angles Scalene Triangle No equal sides No equal angles
79. 79. • Triangles can also have names that tell you what type of angle is inside: Acute Triangle All angles are less than 90° Right TriangleHas a right angle (90°) Obtuse Triangle Has one angle more than 90°
80. 80. Transversal Angles
81. 81. Vertical Angles = equal each other
82. 82. Supplementary Anglestwo angles that add up to 180:
83. 83. Complimentary Anglestwo angles that add up to 90:
84. 84. 1 2 3 4 5 6 7 8If the lines are parallel and m<2 is 45: in the figure above, what isthe measure of <3?1. 30 :2. 45 :3. 90 :4. 135 :5. 180 :
85. 85. Find the missing angle using complementary or supplementary angles. 80
86. 86. Find the missing angle using complementary or supplementary angles. 155
87. 87. Find the missing angle using complementary or supplementary angles. 30
88. 88. Find the missing angles.
89. 89. Circles
90. 90. Graphs• A graph is a visual picture used to compare data. They allow us to see trends and make predictions on future occurrences.Steps To Understanding Bar Graphs* Read the title!* Read the Vertical Axis Title : * What do the numbers or words represent?* Read the Horizontal Axis Title: * What do the numbers or words represent?* Look for a key! The key will explain what the bars or colors of the bars represent.* Look for trends on the graph.* Finally, read and answer the questions!!!
91. 91. Bar Graphs• A bar graph is a visual picture used to compare data. They allow us to see trends and make predictions on future occurrences.Steps To Understanding Bar Graphs* Read the title!* Read the Vertical Axis Title : * What do the numbers or words represent?* Read the Horizontal Axis Title: * What do the numbers or words represent?* Look for a key! The key will explain what the bars or colors of the bars represent.* Look for trends on the graph.* Finally, read and answer the questions!!!
92. 92. Total Rainfall in inches from 2008 - 2011 80 70Average rainfall in inches 60 50 Crossville 40 Nashville 30 Knoxville 20 10 0 2008 2009 2010 2011 Year
93. 93. 1. Based on the information provided on the graph, which city reported the most rainfall from 2008 to 2011?2. Which city reported the least amount of rainfall in 2011?3. Approximately, what was the average rainfall for Crossville from 2008 to 2011?4. In what year was the least amount of rainfall reported?5. What is the main idea of the graph provided?
94. 94. 2011 Sales for Oldies but Goodies Toy Factory 6 5Sales in Thousands 4 Barrel of Monkeys 3 Marbles Jacks 2 1 0 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter
95. 95. Line Graphs1. Based on the graph provided, which toy had the best sales in 2011?2. Based on the 4th quarter, will the Barrel of Monkeys’ sales increase or decrease in 2012?3. Which toy was the least popular in 2011?4. Approximately, what was the difference in sales for the Marbles and the Jacks in the second quarter?
96. 96. Mrs. Gossett’s Geology 1420 Annual Field Trip (Analyzing Earth Contents) 16Distance from Trail Entrance (miles) 14 12 10 8 6 4 2 0 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM Time
97. 97. 1. From which two points did the students travel at the lowest rate of speed? a) 8:00 am to 9:00 am b) 9:00 am to 11:00 am c) 12:30 pm to 2:00 pm d) 2:00 pm to 4:00 pm2. At what average speed did students travel from 12:30 pm to 2:00 pm? a) 5.25 mph b) 2.6 mph c) 2.5 mph d) 1.5 mph3. At what average speed did the students travel from 11:00 to 12:30? Alternate format (fill in the blank)
98. 98. Mr. Potato Head - Math 101 Available Class Points 5% 15% Attendance40% Projects Quizzes 20% Homework Tests 20%
99. 99. 1. If there were a total of 375 points for projects, how many points would be available for quizzes?2. If there were a total of 635 points available for tests, how many points would be available for homework?3. Based on the question #2 above, what are the total points available for Mr. Potato Head’s Class?4. What total percentage points are used for homework, projects, and quizzes?5. What is the average points available for homework, projects, and quizzes?
100. 100. Scatter Plot• Scatter Plots are based on individual items. It is important to remember that each dot represents ONE.• Like all other graphs, it is very important to read all the information presented on the graph.• Most of the time, a scatter plot is used to determine the future trends or to show comparisons between two items. – A scatter plot has an imaginary line on the graph that is called the Line of Best Fit. It gives a visual picture of the trend(s) for that specific chart.
101. 101. HS Diploma vs Bachelors’ Degree Annual Salary Survey \$70,000.00 \$60,000.00 \$50,000.00Annual Income \$40,000.00 BS Degree \$30,000.00 High School \$20,000.00 \$10,000.00 \$0.00 25 30 35 40 45 50 55 60 65 Ages of People Surveyed
102. 102. 1. What is the main idea of this scatter plot?2. Looking at the line of best fit, what do you think the salary will be for a man who is 75 and does not have a college degree?3. If this same man has a Bachelor’s Degree, what do you think his salary would be?4. Based on the graph, why do you think there are more plots from the ages of 25 to 40?5. What does the key tell us about the graph?
103. 103. Charts/Menus/TablesTypes of Questions asked about Menus: Percents Taxes for food Tips Combinations How many different combinations of entrees can be made from the menu? Critical Thinking What is the better buy between single items/combo items? Basic Subtraction Addition Multiplication Division Averages (mean), Median, Mode, Range
104. 104. Pete’s GrillEntrees Price Sides Price Drinks PriceShrimp & Steak \$12.50 Loaded Potato \$2.59 Pepsi \$1.59Shrimp Scampi \$8.50 Broccoli & Cheese \$2.00 Diet Pepsi \$1.59Rib eye Steak \$13.50 Smashed Potatoes \$1.00 Mt. Dew \$1.59Rack o Ribs \$21.50 Broccoli & Cauliflower \$2.00 Orange \$1.59 Tea or Coffee \$0.50 1. How many different combinations of the entrees can Eric make? 2. Jennie ordered a Rib eye, a Loaded Potato, and a Pepsi for dinner. If she had to pay 9% sales tax, what was the total of her order? 3. If Jennie added a 15% tip, what would her total be now?
105. 105. June Temperatures for Maui Days of the Week Sun Mon Tue Wed Thur Fri SatWeek 1 75 77 85 80 87 90 92 83.7Week 2 88 92 90 95 100 98 99 94.6Week 3 102 97 95 96 94 97 99 97.1Week 4 95 92 89 89 91 88 87 90.1Week 5 89 91 90 901. What is the total average temperature for week 4 in June?2. What was the range of temperature for week 3?3. Sheri is going to Maui on vacation. She is not a big fan of heat. Which week would be the best week for her to go?4. What is the median of temperatures for week 2?
106. 106. A clown handed out balloons to the first one hundred fifty children at a local mall. Hegave them one balloon a piece, and he let them choose the color they wanted. In thechart below is the total number of balloons handed out and their colors. Number of Colors of 1. What is the median number of balloons Children Balloons handed out to the children at the mall? 32 % Red 2. How many children liked the color of Blue 29 % Blue Balloons? 18 % Green 3. What is the percent of children who liked both 7% Yellow Purple and Red balloons? 14 % Purple 4. How many children liked both Blue and Green balloons? 5. What is the probability of a child choosing a green balloon?