Wednesday, August 3, 2016

ACT Math Learning Points ..


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
1
Whole number and decimals
2
Simple unit conversions
3
Percent
4
Rate and proportion
5
Tax added percentage
6
Average computations
7
Rate based unit conversions
8
Word percentage problems
9
Word proportion problems
10
Word rate problems
11
Percent of increase and decrease problems
12
Geometry percent ratios

Probability, Statistics, & Data Analysis
13
Calculation of the average of a list of whole numbers
14
Chart and table based calculations
15
Read statistical tables and graphs
16
Probability of an event and its complement
17
Calculating a data value given the mean and a set of numbers that contains the data value
18
Weighted average
19
Venn Diagrams (Counting)
20
Counting Techniques: Trees
21
Sample Space
22
Multiplication and Addition (And / Or) Probability and formulas
23
Mean, median and mode
24
Interpret, manipulate, analyze and make conclusions from graphs, tables, figures and diagrams
25
Conditional and joint probability

Numbers, Concepts & Properties
26
Equivalent fractions
27
Simplifying fractions
28
One digit factors
29
Digit’s place value
30
Rounding
31
Ordering of decimals
32
Pattern identification
33
Absolute value
34
Prime numbers
35
Greatest common factor
36
Least common multiple
37
Ordering fractions
38
Numerical factors
39
Scientific notation
40
Squares and square roots
41
Positive integer exponents
42
Cubes and cube roots
43
Undefined expressions
44
Complex numbers
45
Prime factorizations
46
Even and odd numbers
47
Factors and multiples
48
Positive and negative number properties
49
Exponent Rules
50
Complex number multiplication
51
Number concept conclusions
52
Algebra concept conclusions
53
Expression relationships
54
Logarithms
55
Geometric sequences
56
Complex number properties

Graphical Representations
57
Number lines – Coordinate Location
58
1st Quadrant Coordinate Location
59
Cartesian Coordinate System
60
Slope Conceptualization
61
Distance on a number line
62
Number Line Inequality Representation
63
Slope Calculations and Determination
64
Linear graphs equation matching
65
Cartesian graphs interpretation and analysis
66
Midpoint of a line segment
67
Match inequality equations with graphs
68
Distance formula
69
Number lines and solution sets of inequalities
70
Determination of an equation of a line: points, perpendicular and parallel lines
71
Parabolas: vertex, direction, axis of symmetry, x-intercepts, y-intercepts
72
Circle: radius, center, area, sector length, circumference, chords
73
Quadratic inequalities: graphs and equations
74
Equation, function and graph matching
75
Algebraic conceptualization problems
76
Geometric conceptualization problems
77
Integrated algebraic and geometric conceptualization problems
78
Graphical analysis, interpretation and conclusions

Properties of Plane Figures
79
Parallel lines, transversals and associated angles
80
Pythagorean Triples
81
Application of Isosceles triangles principles
82
Special triangles, side relationships
83
Multistep geometry problems
84
Relationships between angles, arcs and distances in a circle

Measurements
85
Line length relations in a geometric shape or form
86
Perimeter of a polygon given all side lengths
87
Area of a rectangle given dimensions as whole numbers
88
Triangles: Area, perimeter, multistep problems, direct and indirect problems
89
Circle: Area, circumference
90
Perimeters of simple composite geometric figures
91
Integrated area, volume and perimeter relationships and calculations
92
Scaling factors
93
Area visualization of geometric shapes

Functions
94
Quadratic functions (integer coefficients)
95
Polynomial functions
96
Trigonometric functions: sine, cosine, tangent (ratio of side lengths)
97
Composite functions: Expression development and evaluation
98
Trigonometric ratios application problems
99
Trigonometric identities
100
Trigonometric unit circle
101
Trigonometric function / graph matching


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