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.
Use scientific notation accurately Free
Operate with numbers in standard form, convert compound units, and compare quantities by orders of magnitude.
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.
Apply financial mathematics
Use technology for compound interest, depreciation, inflation, and minimum-period financial thresholds.
Use sigma notation
Expand, interpret, and evaluate finite sums written with sigma notation.
Construct simple deductive proofs
Build direct algebraic proofs from a stated left-hand expression to a required divisibility or remainder conclusion.
Apply exponent laws
Simplify powers using exponent laws and explain why exponents are combined or subtracted.
Convert between logarithmic and exponential form
Use the definition of a logarithm to convert between equivalent forms, evaluate exact logarithms and solve simple logarithmic equations.
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.
Analyse infinite geometric series
Test convergence and use infinite geometric sums in exact algebra, recurring decimals, and contextual models.
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.