These are the statements describing what students need to learn:
[Higher Level only statements are in blue]
- operations with numbers in the form a × 10k where 1 ≤ a < 10 and k is an integer
- arithmetic sequences and series. Use of the formulae for the nth term and the sum of the first n terms of the sequence. Use of sigma notation for sums of arithmetic sequences.
Applications.
Analysis, interpretation and prediction where a model is not perfectly arithmetic in real life. - geometric sequences and series. Use of the formulae for the nth term and the sum of the first n terms of the sequence. Use of sigma notation for the sums of geometric sequences
Use of sigma notation for the sums of geometric sequences.
Applications. - financial applications of geometric sequences and series: compound interest and annual depreciation
- laws of exponents with integer exponents. Introduction to logarithms with base 10 and e. Numerical evaluation of logarithms using technology
- approximation: decimal places, significant figures. Upper and lower bounds of rounded numbers. Percentage errors. Estimation
- amortization and annuities using technology
- use technology to solve systems of linear equations in up to 3 variables and polynomial equations
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