act review
TRANSCRIPT
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ACT Review
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Time management
• 60 questions/60 minutes• This is an AVERAGE time per question• If you work 20 minutes and have answered 20
questions, you are behind
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Time management
• Some questions will be quick; others will take more
• Build up a time bank• Many questions take 10-15 seconds• Save extra time for other questions
• Use time bank on more difficult questions
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Time management
• Do some questions in 10 seconds• Spend extra time on tough ones• Do not OBSESS• There are some questions you will not know• Do not dig in your heels and be determined to get it• Mark it and move on• Be sure to stay on the right question on answer sheet
• Stay on right bubble
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Time management
• On the hard questions:• Take a quick educated guess• Circle the question number in the exam booklet• Mark the answer on the bubble sheet• This keeps you on the right number on the bubble sheet• If you do run out of time, at least you will have and
answer on the sheet; you will not accidentally leave an answer blank
• Remember: • There is no guessing penalty on the ACT
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Estimation
• Calculators• Allowed on ACT• Should not need to use them often (if at all)
• Questions will take longer using calculator
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Estimation
• ACT does not want you spending time calculating
• You will never see this on ACT
• ACT is looking for concepts• Many answers do not even require
computation
8.625*1.678
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Estimation
• Frequently, trig answers are only the set up of the equation
• Answer choices are not decimal calculations• Example:• a. • b.
12 tan 4212 / tan 42
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Estimation
• Close enough usually good enough• Example: calculate when• Use or approximately 48 rather than doing
exact calculation on calculator• Answers will usually be sufficiently different to
get the correct one
2 r 8r 6*8
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Other strategies
• Look at the answers first• This will help you attack the problem• If the answers are all integers, then estimation is a
good idea• If the answers are expressions, then computation is
not necessary. Leave the calculator on the desk.
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Other strategies
• Guess and test• Legitimate strategy• Use when you have no idea on a problem• Use when there are a few obviously wrong
answers• Use when it is the quickest way (difficult I know)• e.g. finding GCF
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Bill’s Rules
• Use Bill’s Rule #1• Write down the computation, equation, etc.• You are under pressure; you will not be able to do even
simple calculations in your head.• Your will forget something, e.g. negatives, parentheses,
order of operations• Do not rely on your brain for this; use your brain for
concepts
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Bill’s Rules
• Use Bill’s rule #2• Go back to the definition, principle, etc.• Think about what concepts is being discussed• Recall relationship• Write it down
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Straight lines
• Slope intercept form of line• Point slope form of line• Slope of a line• Intercepts of line• Slope of lines• Parallel• Perpendicular
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Straight lines
• Distance between points• Midpoint between points
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Trig
• SOH CAH TOA• Pythagorean identities• Special right triangles• Pythagorean triples
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Trig
• Pythagorean triples (and their multiples)• 3, 4, 5 (6, 8, 10) (9, 12, 15)• 5, 12, 13• 8, 15, 17• 7, 24, 25
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Functions
• Odd/even functions• Basic function shapes• Function manipulation• Vertical shift• Vertical stretch• Horizontal shift• Horizontal stretch
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Equations
• Solutions to equations• Make statement “true”
• Graphical interpretation of solutions• X-intercepts• Zeros of a function
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Quadratic equations
• Solutions• Number of solutions• Graphical representations
• Quadratic formula• Usage• Discriminant• Discriminant values
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Miscellaneous
• Basic probability• Multiplication rule• Permutations• Combinations
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• The goal is to pass• Score as many points as possible• Maximize your score• A perfect paper is unattainable