01 AA SL - Algebra and Number

Table of Contents

Basic Quadratics

Factorising 1

Factorising 2

Factorising 3

Factorising 4

Solving Factorised Equations

Using a GDC (Casio)

Desmos - Solving Factorised Equations

Solving quadratic equations by Becky Hall

Using a GDC (Casio)

Completing the Square

Completing the Square 1

Completing the Square 2

Practice 2

Completing the Square 3

Completing the Square 4

Practice 2

Connecting Completed the Square to a Quadratic Graph

Move the sliders below and find the connection between the vertex and the completed the square form.

Hint: Keep the a value at 1 to start.

The Quadratic Discriminant

Quadratic Discriminant - Exam Question 1

Quadratic Discriminant - Exam Question 2

Quadratic Discriminant - Exam Question 3

Quadratic Discriminant - Exam Question 4

Exponentials

Exponential Rules

Index Question 1

Index Question 2

Index Question 3

Exponential Equations

Exponential Model 1

Exponential Modelling with e

Prime base exponents

Solving Equations with exponents 1

Solving Equations with exponents 2

Desmos - Find the Exponential

Discovering exponentials by Becky Hall.

Desmos - Modelling Rabbit Populations

Modelling by Paul Jorgens.

Desmos - Studying bacteria

Exponential growth by Becky Hall.

Desmos - Graphing exponential functions

Graphing exponential functions by Sharee Hebert

Logarithms

Log Base 10

Logs in different bases

3 Basic Rules

The Natural Logarithm (ln)

Solving unknown index

Change of base

Solving Log Equations 1

Solving Log Equations 2

Solving Log Equations 1

Solving Log Equations 2

Sequences and Series

Arithmetic Formulae

Geometric Formulae

Sums to infinity

Simple sums question

The Sigma Sign

Infinite geometric series

Desmos - Types of Sequence

Arithmetic, geometric or other by Becky Hall.

Infinite geometric series

Arithmetic sequences by Becky Hall.

Binomial Expansions

Pascals Triangle

Binomial Expansion

Finding a term of an expansion

SL Question

SL Expansion Challenging

SL Question