IB Mathematics Analysis and Approaches HL Numbers and Algebra
Course

IB Mathematics Analysis and Approaches HL – Number and Algebra

1.1 Number Skills
1.2 Arithmetic Sequences and Series
1.3 Geometric Sequences and Series
1.4 Financial Mathematics
1.5 Exponents
1.6 Logarithms
1.7 Binomial Theorem
1.8 Counting Techniques
1.9 Partial Fractions
1.A Complex Numbers
1.B Proofs

90 Lessons

Course Materials

NUMBER SKILLS

Decimal Places

Scientific Notation

Significant Figures

Accuracy and Error

Estimation and Approximation

ARITHMETIC SEQUENCES AND SERIES

Arithmetic Sequences

Arithmetic Sequence Problems

Sigma Notation for Sums of Arithmetic Sequences

Arithmetic Series

GEOMETRIC SEQUENCES AND SERIES

Geometric Sequences

Geometric Sequence Problems

Geometric Sequences using Logarithms

Geometric Series

Geometric Series Problems

Geometric Series using Logarithms

Sigma Notation for Sums of Geometric Sequences

Sum of an Infinite Geometric Series

Recurring Decimals using Infinite Geometric Series

FINANCIAL MATHEMATICS

Compound Interest

Depreciation in Value

EXPONENTS

Powers and Bases

Multiplication using Exponents

Division using Exponents

Zero Index

Raising a Power to Another Power

Negative Exponents

Negative Bases

Algebraic Expansion with Exponents

Algebraic Factorisation with Exponents

Exponential Equations

Rational Exponents

LOGARITHMS

Logarithms in Base 10

Logarithm Definition

Natural Logarithms

Logarithm Change of Base Rule

BINOMIAL THEOREM

Binomial Expansions

Extension of Binomial Expansions to Fractions and Negative Indices

Binomial Coefficient

General Binomial Theorem

COUNTING TECHNIQUES

Product Principle

Factorials

Permutations

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