## 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
*x*^{n}

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