Course review
Review each learning objective in this topic, then open its concept explanation or question set.
Learning objective
• Use numbers in the form a x 10^k where 1 <= a < 10 and k is an integer. • Calculator/computer notation such as 5.2E30 is not acceptable.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Use nth-term, finite-sum and sigma notation for arithmetic sequences. • Identify first term and common difference; apply to contexts such as simple interest.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Use nth-term, finite-sum and sigma notation for geometric sequences. • Identify first term and common ratio; apply to growth/decay contexts.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Apply geometric sequences to compound interest and annual depreciation. • Use technology/financial packages; consider inflation and compounding frequency.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Use laws of exponents with integer exponents. • Understand base-10 and natural logarithms; ax=b is equivalent to log_a(b)=x.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Write simple numerical and algebraic deductive proofs. • Use equality/identity notation and LHS-to-RHS proof layout; check results.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Use rational exponent laws and logarithm laws. • Use change of base and logarithms to solve exponential equations.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Find sums of infinite convergent geometric sequences. • Use |r| < 1 and modulus notation for convergence.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Expand (a+b)^n for n in N using the binomial theorem. • Use Pascal's triangle and nCr, with formula and technology.
Start with the concept explanation, then practise to create mastery evidence.