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ACT Review
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
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
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
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
Estimation
• Calculators
• Allowed on ACT
• Should not need to use them often (if at all)
• Questions will take longer using calculator
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 
Estimation
• Frequently, trig answers are only the set up of
the equation
• Answer choices are not decimal calculations
• Example:
• a.
• b.
12 tan 42
12/ tan42
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
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.
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
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
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
Straight lines
• Slope intercept form of line
• Point slope form of line
• Slope of a line
• Intercepts of line
• Slope of lines
• Parallel
• Perpendicular
Straight lines
• Distance between points
• Midpoint between points
Trig
• SOH CAH TOA
• Pythagorean identities
• Special right triangles
• Pythagorean triples
Trig
• Pythagorean triples (and their multiples)
• 3, 4, 5 (6, 8, 10) (9, 12, 15)
• 5, 12, 13
• 8, 15, 17
• 7, 24, 25
Functions
• Odd/even functions
• Basic function shapes
• Function manipulation
• Vertical shift
• Vertical stretch
• Horizontal shift
• Horizontal stretch
Equations
• Solutions to equations
• Make statement “true”
• Graphical interpretation of solutions
• X-intercepts
• Zeros of a function
Quadratic equations
• Solutions
• Number of solutions
• Graphical representations
• Quadratic formula
• Usage
• Discriminant
• Discriminant values
Miscellaneous
• Basic probability
• Multiplication rule
• Permutations
• Combinations
• The goal is to pass
• Score as many points as possible
• Maximize your score
• A perfect paper is unattainable

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ACT Review

  • 2. 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
  • 3. 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
  • 4. 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
  • 5. 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
  • 6. Estimation • Calculators • Allowed on ACT • Should not need to use them often (if at all) • Questions will take longer using calculator
  • 7. 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 
  • 8. Estimation • Frequently, trig answers are only the set up of the equation • Answer choices are not decimal calculations • Example: • a. • b. 12 tan 42 12/ tan42
  • 9. 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
  • 10. 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.
  • 11. 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
  • 12. 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
  • 13. 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
  • 14. Straight lines • Slope intercept form of line • Point slope form of line • Slope of a line • Intercepts of line • Slope of lines • Parallel • Perpendicular
  • 15. Straight lines • Distance between points • Midpoint between points
  • 16. Trig • SOH CAH TOA • Pythagorean identities • Special right triangles • Pythagorean triples
  • 17. Trig • Pythagorean triples (and their multiples) • 3, 4, 5 (6, 8, 10) (9, 12, 15) • 5, 12, 13 • 8, 15, 17 • 7, 24, 25
  • 18. Functions • Odd/even functions • Basic function shapes • Function manipulation • Vertical shift • Vertical stretch • Horizontal shift • Horizontal stretch
  • 19. Equations • Solutions to equations • Make statement “true” • Graphical interpretation of solutions • X-intercepts • Zeros of a function
  • 20. Quadratic equations • Solutions • Number of solutions • Graphical representations • Quadratic formula • Usage • Discriminant • Discriminant values
  • 21. Miscellaneous • Basic probability • Multiplication rule • Permutations • Combinations
  • 22. • The goal is to pass • Score as many points as possible • Maximize your score • A perfect paper is unattainable