Mathematics: Analysis and Approaches SL
Number and algebra
Sequences, series, exponents, logarithms, algebraic structure, and exact symbolic reasoning for IB Mathematics: Analysis and Approaches SL.
Work with arithmetic sequences
Identify the common difference, build the nth-term rule, find a specified term, and calculate a finite arithmetic sum.
Work with geometric sequences
Find the common ratio, build the nth-term rule, calculate a specified term, and calculate a finite geometric sum.
Calculate arithmetic and geometric series
Choose and apply finite arithmetic and geometric series formulae, showing clear reasoning about the structure of the sequence.
Use sigma notation
Expand, interpret, and evaluate finite sums written with sigma notation.
Apply exponent laws
Simplify powers using exponent laws and explain why exponents are combined or subtracted.
Apply logarithm laws
Apply logarithm laws to simplify and evaluate exact logarithmic expressions.
Solve exponential equations
Solve exponential equations by rewriting both sides with a common base and explaining why the exponents can be compared.
Use binomial expansion
Expand binomial expressions and identify specified terms using binomial coefficients.
Use exact algebraic reasoning
Manipulate exact forms and explain algebraic reasoning clearly.