Competences

• a)Support others to learn and applying the key algebraic and trigonometric concepts;
• b)Create lessons plans and/or resource packs for teaching these topics at secondary or post-secondary levels, as necessary;
• c)Design relevant assessment tasks to supervise students’ ability to apply such topics.
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Knowledge

• a)Recall the properties of Indices (Zero, negative and fractional) and the laws of indices;
• b)Define logarithms and the laws of logarithms, including the change of base formula;
• c)Recall the techniques of Algebraic Long Division;
• d)Recall the Remainder Factor Theorem;
• e)Recall the completing the square method;
• f)Interpret the nature of roots of quadratic equations;
• g)Define imaginary and complex numbers;
• h)Explain the radian measure;
• i)State the 6 trigonometric functions;
• j)State and interpret the CAST Rule;
• k)Know the values of cosine, sine and tangent of π/k, where k = 1, 2, 3, 4, 6 in surd or rational form;
• l)Define the trigonometric identities.
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Skills

• • a)Explore methods for solving linear equations and manipulating algebraic expressions;
  • b)Apply algebraic techniques for solving systems of equations, including methods for handling both two and three variables;
  • c)Apply the properties of indices and logarithms, including their applications, in solving exponential and logarithmic equations;
  • d)Apply Algebraic Division to factorise polynomial expressions;
  • e)Decompose rational expressions f(x), both improper and proper fractions, into partial fractions;
  • f)Apply the Remainder Theorem and completing the square method to solve and factorize quadratic and cubic equations;
  • g)Explore the arithmetic of complex numbers, including operations in both standard and polar forms;
  • h)Calculate the length of arcs and areas of sectors and segments using the radian measure;
  • i)Investigate the properties and graphs of trigonometric functions, and solve various trigonometric equations;
  • j)Use trigonometric identities to simplify expressions and solve equations.