Mathematics Units and Topics

Fractions and Percentages

  • Using the concept of Order of Operations to solve numerical expressions involving fractions, decimals, and integers.
  • Recognizing decimals as terminating, recurring, and non-recurring.
  • Using the following concepts in problem solving:
    • Conversion between fractions, decimals, and percentages in different contexts.
    • Calculating percentage of quantities (with and without a calculator).
    • Expressing one quantity as a percentage of another.
  • Calculating percentage profit and percentage discount.
  • Finding cost price given the profit.
  • Calculating marked price given the discount.
  • Calculating Zakat and Ushr in different circumstances (in accordance with Islamic principles).

Sequence and Patterns

  • Using Term to Term rule and Position to Term rule to find missing numbers in a sequence.
  • Finding a specific term using the nth term formula.
  • Solving problems involving the Fibonacci sequence.

Algebraic Expressions and Factorization

  • Understanding of algebraic terms; open and closed sentences; like term, variable, constant, expression, equation, and inequality.
  • Expanding and/or simplifying linear expressions with fractional coefficients.
  • Adding and subtracting simple quadratic expressions.
  • Expanding and simplifying (simple) quadratic expressions.
  • Multiplication of:
    • monomial with monomial
    • monomial with binomial
  • Factorization of algebraic expressions by taking out common terms.

Algebraic Equations

  • Solving linear equations in a single variable, involving integer and fraction coefficients.

Introduction to Coordinate Geometry

  • Understanding of 4 quadrants, origin, x-axis, and y-axis of a Cartesian coordinate system.
  • Plotting and locating points in the four quadrants.
  • Plotting graphs of linear equations in one and two variables [y = mx and y = mx + c].
  • Equation for horizontal and vertical lines.
  • Finding values of x and y from the graph.

Area and Volume

  • Conversion between standard units of area and volume.
  • Calculating the circumference and area of a circle.
  • Calculating the areas and perimeters of triangles and quadrilaterals (square, rectangle, parallelograms, and trapeziums - with consistent and inconsistent units).
  • Calculating the perimeter and areas of any compound 2D shapes (involving whole shape and shaded regions).
  • Calculating surface area and volume of right prisms (triangular and rectangular prisms) and cylinders (volume and surface area of compound shapes are not included).
  • Using concepts of area, perimeter, surface area, and volume in word problems involving real-life contexts.

Introduction to Set Theory

  • Describing and listing down the elements of a descriptive set using mathematical (set) notation.
  • Differentiating between the following:
    • proper and improper subsets
    • disjoint and overlapping sets
    • equal and equivalent sets
  • Listing all subsets and proper subsets of a set.
  • Enumerating complements, union, and intersection of two sets mathematically.
  • Showing complements, union, and intersection of two sets by shading in a Venn diagram using two sets and one universal set.

Probability

  • Finding the probabilities of single event experiments (involving groups of people and angles of sectors).
  • Finding the probability of the complement of an event.
  • Word problems involving all of the above.

EOYE Syllabus

The syllabus for EOYE includes all topics covered during the 2nd term. For further details, please refer to the class notes.