Math Portion for Placement Exam

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Grade 4

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)
Grade 5

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.
Grade 6

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.
Grade 7

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

Grade 8

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.
Grade 9

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
Grade 10 AP

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 
Grade 10 IG

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
Grade 11 AP

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
Grade 11 IG

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
Grade 12 AP

Math

  • Quadratic Equations
  • Simplifying Algebraic fractions
  • Solving Equations
  • Inverse Functions
  • Trigonometry
  • Arithmetic and geometric sequence
  • Vectors
Grade 12 IG

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