Download IMAT - Mathematics

IMAT - Mathematics
UNIT 1












Number Sets
Order of Operations
How to recognize MULTIPLES OF
Prime Numbers
LCM
GCD
Algebraic Identities
Square of a Binomial, Difference of Squares, Cube of a Binomial, Sum of
Cubes , Difference of Cubes
Linear Equations
Quadratic Equations
Properties of the Solutions to Quadratic Equations,
Quadratic Equation from Solutions, Factoring Quadratic Equations
System of Equations
Substitution Method, Elimination Method, Nonlinear Systems of Equations
Linear Inequalities
Quadratic Inequalities
UNIT 2





Powers of Integers
Properties, Powers with an Integer Exponent, Powers with a Fractional
Exponent
Absolute Value
Properties of the Absolute Value
Radicals
Powers and Radicals, Adding-Multiplying-Dividing Radicals,
Rationalizing Denominators with Radicals
Ratio, Proportions, Percent formula, Work problem
Drill 1
UNIT 3














Types of angle, Angle relationship
Triangles
Properties of Triangles, Equal Triangles, Types of Triangles by Sides,
Types of Triangles by Angles, Perimeter of a Triangle, Area of a Triangle,
Pythagorean Theorem, Similar Triangles
Squares
Area of a Square, Perimeter of a Square, Diagonal of the Square
Rectangle
Area of a Rectangle, Perimeter of the Rectangle, Diagonal of a Rectangle
Rhombus
Area of a Rhombus, Perimeter of a Rhombus
Rhomboids
Area of a Rhomboid, Perimeter of a Rhomboid
Trapezoids
Types of Trapezoids, Area of a Trapezoid
Regular Pentagons
Angles of the Pentagon, Diagonals of the Pentagon
Regular Hexagons
Angles of the Hexagon, Diagonals of the Hexagon
Circles
Center Circle, Radius of the Circle, Chord, Diameter, Arc, Area of a Circle,
Circumference, Circular Sector Area, Arc Length
Regular Hexahedron or Cube
Characteristics of a Cube, Surface Area of a Cube, Volume of a Cube,
Diagonal of a Cube
Cuboid
Diagonal of a Cuboid, Surface Area of a Cuboid, Volume of a Cuboid
Cylinder
Surface Area of a Cylinder, Volume of a Cylinder
Sphere
Surface Area of a Sphere, Volume of a Sphere
UNIT 4




Logarithms
Common Logarithm, Natural Logarithm, Logarithm Rules
Exponential Equations
Geometry Review Questions
Drill 2
UNIT 5


Coordinate Geometry
Distance Between Two Points, Midpoint, Slope, Point–Slope Form,
General Form, Distance from a Point to a Line
Trigonometry
Angles, Trigonometric Functions, Special Triangles, Trigonometric
Identities, Trigonometric Formulas
UNIT 6


Conics
Equation of a Circle, Ellipse– Equation of an Ellipse, Hyperbola – Equation
of the Hyperbola, Parabola – Equation of a Parabola
Statistics
Statistical Concepts, Types of Frequencies, Grouped Frequency
Distributions, Pie Charts, Histograms, Range, Mode, Median, Arithmetic
Mean
UNIT 7





Probability Theory
Probability Axioms, Probability Properties, Probability Formula,
Independent Events, Dependent Events, Conditional Probability
Factorial of a Natural Number
Permutations
Permutations with Repetition, Circular Permutations
Combinations
Drill 3
UNIT 8

Review Questions