Math Topics
Below is a list of Math Topics found on the ACT. Click on the topic to watch a tutorial on it.
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Number and Quantity
- Number Line
- Negative Numbers
- Ordering decimals and fractions
- Square Roots
- Perfect Squares
- Prime numbers/coprime
- Prime Factorization
- Repeating Decimals
- Least Common Multiple
- Greatest Common Factor
- Absolute Value
- Number Logic Comparison
- Fractions
- Even and Odd Numbers
- Rational and Irrational Numbers and Operations with them
- Modular Division (Repeating Digits)
- Exponents
- Scientific Notation
- Factorial
- Sigma Notation
- Radicals
- Radical Form to Exponent Form
- Clock Math
- Dimensional Analysis-Unit Conversion
- Arithmetic Sequences
- Recursive Sequences
- Summation Operator
- Geometric Sequences
- Complex and Imaginary Numbers (including graphing them)
- Word Problems
- Matrices (Add,Subtract,Multiply,Determinant)
- Vectors (Add,Subtract,Magnitude and Direction)
- Logarithms
Rates, Ratio, Proportion, Percent and More
- Rates-Uniform Motion
- Ratio (Proportion or Equation)
- Proportion
- Percent
- Venn Diagram
- Set (Theory Union/Intersection)
Statistics and Probability
- Mean
- Mean of a Frequency Distribution
- Median
- Mode
- Standard Deviation
- Empirical Rule
- Range
- Probability
- Multiplication Rule of Probability
- Addition Rule of Probability
- Conditional Probability
- Probability Terms (Independent, Dependent, Mutually Exclusive)
- Probability (At least one)
- Expected Value
- Combination
- Permutation
- Box Plot
- Normal Distribution
- Skewed Distribution
- Sample Space
- Z-score
- Margin of Error
- Confidence Interval
- Correlation Coefficient
- Probablity under a bell curve
- Sets (Union and Intersection)
Functions
- Evaluating Functions
- Relation versus Function
- Verical Line Test
- Horizontal Line Test
- Domain
- Range
- Linear Functions
- Interpret Linear Functions
- Slope
- Parallel and Perpendicular Lines
- Parabolas
- Parabolas - Axis of Symmetry
- Composite Functions
- Trig Functions
- Radians and Degrees
- Trig Identities
- Exponential Growth and Decay
- Interpret Exponential Functions
- Function Transormations
- Point transormations and rotations
- Simple and Compound Interest
- Vertical Asymptotes
- Horizontal Asymptotes
- Inverse Functions
- Algebra of Functions
- Polynomial Multiplicity
- Polynomial End Behavior
- Polynomial Roots
- Graph of Logarithmic Equation
- Relative minimum/maximum
- Directrix of a parabola
- Linear Regression
- Residual
- Irrational Function
- Increasing/Descreasing Intervals
Algebra
- Polynomials
- Polynomial Factoring (difference of two squares, difference or sum of cubes)
- Rational Expressions
- Solving Linear Equations
- Solving Other Types of Equations (square, square root, logarithm, exponential, absolute value)
- Quadratic Equations (factoring, solving, sum of solutions, quadratic formula)
- Logarithmic Equations
- Hidden Quadratics
- System of Linear Equations
- System of Non-linear Equations
- Inequalities
- System of Inequalities
- Mixture Problems
- Winning Percentage
- Average Word Problems
- Modeling Functions
- Binomial Expansion
- Polynomial Long Division
- Remainder Theorem
- Extraneous Roots
Geometry
- Linear Equations
- Parallel/Perpendicular Lines
- Angles (Vertical, Straight Line, Parallel lines with Transversal)
- Terminal side of an angle
- Degrees-Radians Conversions
- Perimeter
- Triangles
- Area
- Find the Area between two shapes
- Volume
- Parallelograms
- Parrelelogram Properties
- SOHCAHTOA
- Similar Triangle Theorems
- Congruent Triangle Theorems
- Special Right Triangles
- Circles
- Intersecting Chord Theorem
- Ellipse
- Hyperbola
- Trapezoid
- Kite
- Law of Sines
- Law of Cosines
- Dilation
- Line of Best Fit or Refression Line
- Volume of Pyramid
- Volume of Cone
- Triangle Midsegment Theorem
- Trapezoid Midsegment
- Crosssection
- Unit Circle
Miscellaneous
- Lines of Symmetry
- Work Problems
- Man-Hours
- Euler Path
- Population Denstity
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