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.

• Use decimal places, significant figures and appropriate accuracy.

• Work with upper/lower bounds of rounded numbers.

• Calculate percentage errors and judge whether results are reasonable.

• Use technology for amortization and annuity problems.

• Payments are made at the end of each period in examinations.

• Knowing the annuity formula may help, but it is not examined.

• Use technology to solve systems of up to three linear equations.

• Use technology to solve polynomial equations.

• Know terms such as roots and zeros; exam systems have unique solutions.