Math Portion for Placement Exam

Math:

• Addition and subtraction 3 digits number.
• Rounding
• Fraction (write fraction, write equivalent fractions, compare fractions, add and subtract fractions with like denominators)
• Multiplication with regrouping
• Division (related to multiplication)

Math Portion

• • Write number in standard form and expanded form up to thousands.
  • Find the value and the place value of digit. (Till thousands period)
  • Comparing and ordering numbers.
  • Rounding numbers
  • Addition and subtraction with regrouping
  • Multiplying by one or two digits, and dividing by one digit divisor.
  • Order of operations(basic)
  • Factors and multiples.

Fractions:

• • Write equivalent fractions
  • Compare fractions
  • Add and subtract fractions (Like denominators)

Geometry:

• Identify lines, line segments, rays, and angles.
• Classify triangles and quadrilaterals.
• Find area and perimeters of rectangle and square.

Math

• Write number in standard form and expanded form up to millions.
• Find the value and the place value of digit. (Till millions period) / including decimal
• Comparing and ordering numbers. (Including decimal)
• Rounding numbers. (Including decimal)
• Addition and subtraction with regrouping (including decimals)
• Multiplying by one or two digits, and dividing by one- or two-digit divisor. (Including decimal)
• Order of operations(basic)
• Prime factorizations, GCF (greatest common factor) and LCM (least common multiple)

Fractions:

• Write equivalent fractions
• Compare fractions
• Add, subtract, multiply, and divide fractions and mixed numbers.
• Write fraction and mixed numbers with denominator 10 or 100 as decimal
• Write decimal as fraction

Geometry:

• Identify lines, line segments, rays, and angles.
• Classify triangles, quadrilaterals and polygons.
• Classify the circle’s parts.
• Find perimeter of polygons.
• Find area of rectangle, square and parallelogram.

Algebra

• Write number in expanded form using exponents.
• Rounding numbers.
• Write word expression as an algebraic expression.
• Evaluate an algebraic expression.
• Simplify expressions.
• Solve one step equations.
• Find Prime factorizations, GCF (greatest common factor) and LCM (least common multiple)
• Integers:
• Order and compare integers.
• Operations on integers.
• Order of operation with integers.
• Operations on fractions and decimal with integers.

Geometry

• Coordinate plane (read and plot points with integers)
• Perimeter and area of rectangles, squares, triangles, and trapezoids.
• Angles relationships

Statistics     Mean mode and median

Algebra

• Solving Linear equation.
• Solving linear inequalities.
• Solving absolute value inequalities.
• Graphing linear functions.
• Writing linear functions.
• Arithmetic sequences.

Geometry

• Points, lines, rays, and planes.
• Midpoint and distance formulas.
• Perimeter and Area in the coordinate plane.
• Pairs of angles relationships.
• Parallel and perpendicular lines.

Algebra

• Solving Systems of Linear Equations

using (Graphing, Substitution, Elimination)

• Graphing Linear Inequalities in Two Variables
• Solving systems of Linear Inequalities
• Exponential Functions and Sequences
• Polynomial Equations and Factoring
• Graphing Quadratic Functions

Geometry

• Angles of Triangles
• Congruent Polygons
• Proving Triangle Congruence by SAS, SSS, ASA
• Equilateral and Isosceles Triangles

Math

• Solving Quadratic Equations Using quadratic formula and Completing the Square. 
  • Adding, Subtracting and multiplying polynomials
  • Dividing polynomials 
  • Factoring polynomials 
  • Solving polynomial equations 
  • Graphing radical functions 
  • Performing function operations 
  • Transformations of functions
  • Inverse of a function 

Math

• Numbers
• Standard form
• Ratio, Proportion, and Percentage
• Writing and solving equations (Linear and Quadratic)
• Factorizing and simplifying algebraic fractions
• Simultaneous Equations
• Circles’ Theorems
• Similarity and congruency
• Pythagorean Theorem

Math

• Transforming quadratic functions
  • Applying the right triangle trigonometry
  • Identifying characteristics of quadratic functions
  • Dividing polynomials
  • Solving polynomial equations
  • Multiplying polynomial functions
  • Dividing rational expressions
  • Finding the inverse of a function
  • Identifying the domain and range of a rational function
  • Simplifying powers of i
  • Multiplying complex numbers
  • Solving quadratic inequalities

Math

• Ratio and Proportion
• Circle Theorems
• Trigonometry
• Factorizing and simplifying algebraic fractions
• Writing and solving equations
• Mensuration      
• Simultaneous Equations
• Probabilities
• Venn Diagram
• Measures of locations (Mean, Mode, Median)
• Derivative for xⁿ

Math

• Quadratic Equations
• Simplifying Algebraic fractions
• Solving Equations
• Inverse Functions
• Trigonometry
• Arithmetic and geometric sequence
• Vectors

Math

• Simplifying Algebraic fractions and Solving equations and inequalities.
• Transformation of functions
• Binomial Expansion
• Equation of circle
• Trigonometry
• Differentiation, Integration and their applications
• Sketching functions and identifying their domain and range
• Logarithmic and exponential equations