ACT Mathematics Syllabus:1.
Number Theory and Basic Operations:- Factors and multiples
- Prime numbers and composite numbers
- Divisibility rules
- Operations with integers
- Operations with rational numbers
2.
Sets and Sequences:- Union, intersection, and complement of sets
- Venn diagrams
- Arithmetic and geometric sequences
- Recursive and explicit formulas
- Summation notation
3.
Fractions and Decimals:- Simplifying fractions
- Adding, subtracting, multiplying, and dividing fractions
- Converting fractions to decimals and vice versa
- Percentages and percentage calculations
4.
Combinations and Permutations:- Counting principles
- Permutations of objects
- Combinations of objects
- Applications of combinations and permutations
5.
Squaring, Exponents, and Square Roots:- Squaring and square roots
- Laws of exponents
- Scientific notation
- Radicals and simplifying radical expressions
6.
Probability:- Basic probability concepts
- Theoretical probability
- Experimental probability
- Independent and dependent events
- Counting techniques in probability
7.
Basic Statistics:- Measures of central tendency (mean, median, mode)
- Measures of spread (range, standard deviation)
- Box-and-whisker plots
- Data interpretation and analysis
8.
Polynomials:- Adding, subtracting, multiplying, and dividing polynomials
- Factoring polynomials
- Solving polynomial equations
9.
Linear Equations:- Solving linear equations
- Graphing linear equations
- Systems of linear equations
- Applications of linear equations
10.
Quadratic Equations:- Solving quadratic equations by factoring, completing the square, and using the quadratic formula
- Graphing quadratic equations
- Applications of quadratic equations
11.
Inequalities:- Solving linear and quadratic inequalities
- Graphing inequalities
- Systems of inequalities
- Applications of inequalities
12.
Plane Geometry:- Lines and angles
- Triangles and their properties
- Quadrilaterals and their properties
- Circles and their properties
- Transformations and symmetry
13.
Solid Geometry:- Three-dimensional figures
- Volume and surface area of prisms, pyramids, cylinders, cones, and spheres
- Cross sections of three-dimensional figures
14.
Coordinate Geometry:- Distance and midpoint formulas
- Slope of a line
- Equations of lines
- Graphing linear equations and inequalities in two variables
15.
Trigonometry:- Trigonometric ratios (sine, cosine, tangent)
- Solving right triangles
- Trigonometric functions and their graphs
- Trigonometric identities
Note: The topics listed above are not exhaustive and may vary slightly based on the specific version of the ACT exam. It is recommended to refer to official ACT study materials and practice tests for a comprehensive understanding of the content covered on the ACT Mathematics section.
This course is helpful for the following exams: ACT