Course

IB Mathematics SL – Algebra

International Baccalaureate
Mathematics Standard Level

Topic 1 - Algebra

1.1 Exponential
1.2 Logarithms
1.3 Sequences and Series
1.4 Binomial Theorem

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47 Lessons



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Course Materials

1.1 EXPONENTIAL

Index Notation

Multiplication using Exponents

Division using Exponents

Zero Index

Raising a Power to Another Power

Negative Exponents

Rational Exponents

Complicated Exponent Laws

Algebraic Expansion with Exponents

Algebraic Factorisation with Exponents

Exponential Equations

Exponential Graphs

Natural Exponential

Natural Exponential Graphs

Exponential Growth

Exponential Decay

1.2 LOGARITHM

Logarithms in Base 10

Logarithm Definition

Logarithmic Laws

Natural Logarithms

Natural Logarithm Laws

Logarithmic Equations

Exponential Equations using Logarithms

Exponential Inequalities using Logarithms

Logarithm Change of Base Rule

Graphing Logarithmic Functions

Graphing Natural Logarithmic Functions

Exponential Growth and Decay using Logarithms

1.3 SEQUENCES AND SERIES

Number Sequences

General Term of a Number Sequence

Arithmetic Sequences

Arithmetic Sequence Problems

Geometric Sequences

Geometric Sequence Problems

Compound Interest

Sigma Notation

Arithmetic Series

Geometric Series

Sum of an Infinite Geometric Series

1.4 BINOMIAL THEOREM

Factorials

Binomial Expansions

Binomial Coefficient

General Binomial Theorem