ACT MATHEMATICS
Learning Point Checklist
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If you want to do well on the ACT, you will need to make sure you know what the test covers. Below find over 100 Learning Points that the math test specification for the ACT covers. These include numerous specific topics from basic math, algebra I and II, and geometry. The ACT also focuses on the probability, statistics, and trigonometry that is covered in high school algebra II. Studies from the ACT testing organization have shown that students who have taken math up to and including precalculus score much higher than those that haven't.
BookMarkTutoring.com uses ACT Math Learning Points in conjunction with the students math grades to determine exactly where students should focus on to improve their ACT score in the most efficient and effective manner.
Basic Operations and
Applications
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1
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Whole number and decimals
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2
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Simple unit conversions
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3
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Percent
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4
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Rate and proportion
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5
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Tax added percentage
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6
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Average computations
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7
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Rate based unit conversions
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8
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Word percentage problems
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9
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Word proportion problems
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10
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Word rate problems
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11
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Percent of increase and decrease problems
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12
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Geometry percent ratios
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Probability, Statistics, &
Data Analysis
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13
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Calculation of the average of a list of whole numbers
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14
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Chart and table based calculations
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15
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Read statistical tables and graphs
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16
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Probability of an event and its complement
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17
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Calculating a data value given the mean and a set of numbers that
contains the data value
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18
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Weighted average
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19
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Venn Diagrams (Counting)
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20
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Counting Techniques: Trees
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21
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Sample Space
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22
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Multiplication and Addition (And / Or) Probability and formulas
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23
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Mean, median and mode
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24
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Interpret, manipulate, analyze and make conclusions from graphs,
tables, figures and diagrams
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25
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Conditional and joint probability
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Numbers, Concepts &
Properties
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26
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Equivalent fractions
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27
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Simplifying fractions
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28
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One digit factors
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29
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Digit’s place value
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30
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Rounding
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31
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Ordering of decimals
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32
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Pattern identification
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33
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Absolute value
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34
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Prime numbers
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35
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Greatest common factor
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36
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Least common multiple
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37
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Ordering fractions
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38
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Numerical factors
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39
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Scientific notation
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40
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Squares and square roots
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41
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Positive integer exponents
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42
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Cubes and cube roots
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43
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Undefined expressions
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44
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Complex numbers
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45
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Prime factorizations
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46
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Even and odd numbers
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47
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Factors and multiples
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48
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Positive and negative number properties
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49
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Exponent Rules
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50
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Complex number multiplication
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51
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Number concept conclusions
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52
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Algebra concept conclusions
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53
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Expression relationships
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54
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Logarithms
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55
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Geometric sequences
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56
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Complex number properties
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Graphical Representations
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57
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Number lines – Coordinate Location
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58
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1st Quadrant Coordinate Location
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59
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Cartesian Coordinate System
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60
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Slope Conceptualization
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61
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Distance on a number line
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62
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Number Line Inequality Representation
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63
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Slope Calculations and Determination
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64
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Linear graphs equation matching
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65
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Cartesian graphs interpretation and analysis
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66
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Midpoint of a line segment
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67
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Match inequality equations with graphs
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68
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Distance formula
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69
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Number lines and solution sets of inequalities
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70
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Determination of an equation of a line: points, perpendicular and
parallel lines
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71
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Parabolas: vertex, direction, axis of symmetry, x-intercepts,
y-intercepts
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72
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Circle: radius, center, area, sector length, circumference, chords
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73
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Quadratic inequalities: graphs and equations
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74
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Equation, function and graph matching
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75
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Algebraic conceptualization problems
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76
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Geometric conceptualization problems
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77
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Integrated algebraic and geometric conceptualization problems
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78
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Graphical analysis, interpretation and conclusions
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Properties of Plane Figures
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79
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Parallel lines, transversals and associated angles
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80
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Pythagorean Triples
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81
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Application of Isosceles triangles principles
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82
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Special triangles, side relationships
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83
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Multistep geometry problems
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84
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Relationships between angles, arcs and distances in a circle
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Measurements
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85
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Line length relations in a geometric shape or form
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86
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Perimeter of a polygon given all side lengths
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87
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Area of a rectangle given dimensions as whole numbers
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88
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Triangles: Area, perimeter, multistep problems, direct and indirect
problems
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89
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Circle: Area, circumference
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90
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Perimeters of simple composite geometric figures
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91
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Integrated area, volume and perimeter relationships and calculations
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92
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Scaling factors
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93
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Area visualization of geometric shapes
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Functions
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94
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Quadratic functions (integer coefficients)
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95
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Polynomial functions
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96
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Trigonometric functions: sine, cosine, tangent (ratio of side lengths)
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97
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Composite functions: Expression development and evaluation
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98
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Trigonometric ratios application problems
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99
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Trigonometric identities
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100
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Trigonometric unit circle
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101
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Trigonometric function / graph matching
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