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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 1.6Deductive proof

      • Write simple numerical and algebraic deductive proofs. • Use equality/identity notation and LHS-to-RHS proof layout; check results.

    7. SL 1.7Rational exponents and logarithm laws

      • Use rational exponent laws and logarithm laws. • Use change of base and logarithms to solve exponential equations.

    8. SL 1.8Infinite geometric series

      • Find sums of infinite convergent geometric sequences. • Use |r| < 1 and modulus notation for convergence.

    9. SL 1.9Binomial theorem

      • Expand (a+b)^n for n in N using the binomial theorem. • Use Pascal's triangle and nCr, with formula and technology.