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1 Number and algebra

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  1. 1.1 Number and algebra - SL content

    1. SL 1.1Scientific notation

      • 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.

    2. SL 1.2Arithmetic sequences and series

      • Use nth-term, finite-sum and sigma notation for arithmetic sequences. • Identify first term and common difference; apply to contexts such as simple interest.

    3. SL 1.3Geometric sequences and series

      • Use nth-term, finite-sum and sigma notation for geometric sequences. • Identify first term and common ratio; apply to growth/decay contexts.

    4. SL 1.4Financial applications

      • Apply geometric sequences to compound interest and annual depreciation. • Use technology/financial packages; consider inflation and compounding frequency.

    5. SL 1.5Integer exponents and logarithms

      • Use laws of exponents with integer exponents. • Understand base-10 and natural logarithms; ax=b is equivalent to log_a(b)=x.

    6. SL 1.6Approximation and error

      • 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.

    7. SL 1.7Amortization and annuities

      • 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.

    8. SL 1.8Technology for equations

      • 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.