Algebra – Grades 9 & 10

High School Algebra (Grade 9-10) assumes that students are already familiar with the basic concepts which were covered in Grade 6-8 level courses. The following topics are covered in Grade 9-10 level courses: Expansion and Factorisation, Set Theory, Algebraic Fractions, Exponents and Surds, Functions (different levels of difficulty), Quadratic Equations and Functions,Logarithms. The students will have access to large number of assignments which will test their understanding of the concepts and help them master these topics.

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Expansion and Factorisation
Key topics include :

  • The distributive law
  • The product (a + b)(c + d)
  • Difference of two squares
  • Perfect squares expansion
  • Algebraic common factors
  • Perfect squares factorisation
  • Expressions with four terms

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Set Theory
Key topics include :

  • Set notation
  • Special number sets
  • Interval notation
  • Venn diagrams
  • Union and intersection

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Exponent and Surds
Key topics include :

  • Exponent / index notation
  • Index laws
  • Zero and negative indices
  • Properties of surds
  • Multiplication of surds
  • Division by surds

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Algebraic Fractions
Key topics include :

  • Simplifying algebraic fractions
  • Multiplying and dividing algebraic fractions
  • Adding and subtracting algebraic fractions
  • More complicated fractions

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Functions(Basic)
Key topics include :

  • Mapping diagrams
  • Composite functions
  • Reciprocal functions
  • The absolute value function

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Quadratic Equations & Functions
Key topics include :

  • Quadratic equations
  • The Null Factor law
  • The quadratic formula
  • Graphs of quadratic functions
  • Line of symmetry and vertex
  • Finding a quadratic function

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Logarithms
Key topics include :

  • The logarithmic Function
  • Rules for logarithm
  • Exponential and logarithmic equations

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