IB Maths AA 1.6 Definitions

This page contains our IB Maths AA definitions for 1.6. By learning each one of these definitions, you will fully cover the content for IB Maths AA 'Deductive Proofs'.

All Topic 1 Sub-topics 1.1: Scientific Notation 1.2: Arithmetic Sequences 1.3: Geometric Sequences 1.4: Interest 1.5: Exponents & Logs 1.6: Deductive Proofs 1.7: Binomial Theorem (HL)1.8: Counting principles (HL)1.9: Partial fractions (HL)1.10: Complex numbers (HL)1.11: Additional proofs (HL)1.12: Systems of equations

consecutive

Next to each other in order, such as

u_n

and

u_{n+1}

deductive

Based on reasoning that starts from known facts or definitions and uses logically valid steps to reach a conclusion that must follow.

equality

A relationship showing that two expressions have the same value; written using the symbol '

=

Identity

A square matrix with ones on the main diagonal and zeros elsewhere, with the property that

AI=IA=A

for any compatible matrix

A

LHS

Abbreviation for the left-hand side of an equation or identity.

proof

A sequence of logically valid steps showing that a statement is true.

RHS

Abbreviation for the right-hand side of an equation or identity.

sequence

An ordered set of steps written so that each line follows logically from the previous one.

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