1.1 Number and algebra - SL content

• 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.

• Use nth-term, finite-sum and sigma notation for arithmetic sequences.

• Identify first term and common difference; apply to contexts such as simple interest.

• Use nth-term, finite-sum and sigma notation for geometric sequences.

• Identify first term and common ratio; apply to growth/decay contexts.

• Apply geometric sequences to compound interest and annual depreciation.

• Use technology/financial packages; consider inflation and compounding frequency.

• Use laws of exponents with integer exponents.

• Understand base-10 and natural logarithms; ax=b is equivalent to log_a(b)=x.

• Write simple numerical and algebraic deductive proofs.

• Use equality/identity notation and LHS-to-RHS proof layout; check results.

• Use rational exponent laws and logarithm laws.

• Use change of base and logarithms to solve exponential equations.

• Find sums of infinite convergent geometric sequences.

• Use |r| < 1 and modulus notation for convergence.

• Expand (a+b)^n for n in N using the binomial theorem.

• Use Pascal's triangle and nCr, with formula and technology.