Course review

1.1 Number and algebra - SL content

Review each learning objective in this topic, then open its concept explanation or question set.

8 Learning objectives0 Mastered0% Topic mastery0 Attempts

Learning objective

SL 1.1—Scientific notation

New

• 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.

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Learning objective

SL 1.2—Arithmetic sequences and series

New

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

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Learning objective

SL 1.3—Geometric sequences and series

New

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

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Learning objective

SL 1.4—Financial applications

New

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

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Learning objective

SL 1.5—Integer exponents and logarithms

New

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

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Learning objective

SL 1.6—Approximation and error

New

• 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.

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Learning objective

SL 1.7—Amortization and annuities

New

• 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.

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Learning objective

SL 1.8—Technology for equations

New

• 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.

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