Extension 1 Maths

A deeper level of understanding

All our content is directly connected to subjects from the NSW Board of Studies. We begin by explaining the concepts, then we proceed to simpler questions and eventually tackle questions similar to those in exams.

A fun learning environment

Our lessons are both enjoyable and interactive. We encourage group discussions, and students are welcome to ask as many questions as they wish!

What Will You Get?

Personalised Homework Questions

At LOGOS Academia, we make homework personal. We customize assignments to target each student's weak spots. Weekly, they get a special booklet full of practice questions meant to tackle their unique challenges head-on.​

Answer Books

We start preparing you as early as Year 6 to structure your mathematical explanations. Just like organising paragraphs and sentences in English, we teach students to logically present their work in math using our effective answer book system!​

Our Proven Lessons Breakdown

30 MIN

We go through any homework related issues, and ensure all students are comfortable.

1HR 30 MIN

We teach new material, developing theory, and slowing move up in difficulty until we are answering exam-style questions.

Subject Details

Week 1

ALGEBRA

ALGEBRA REVIEW

Week 2

ALGEBRA

ALGEBRA REVIEW

Week 3

FUNCTIONS

DOMAIN AND RANGE​

Week 4

FUNCTIONS

FUNCTION VS RELATION AND ODD, EVEN, NEITHER FUNCTIONS

Week 5

FUNCTIONS

COMPOUND FUNCTIONAL ANALYSIS

Week 6

FUNCTIONS

LINEAR FUNCTIONS

Week 7

FUNCTIONS

LINEAR FUNCTIONS

Week 8

FUNCTIONS

QUADRATICS FUNCTIONS

Week 9

FUNCTIONS

CUBIC FUNCTIONS

Week 10

FUNCTIONS

ABSOLUTE VALUE FUNCTIONS

Week 1

FUNCTIONS

CIRCLES

Week 2

TRIGONOMETRY

BASIC TRIGONOMETRY, THE SINE RULE, THE COSINE RULE, AND THE AREA RULE

Week 3

TRIGONOMETRY

ANGLES OF ELEVATION AND DEPRESSION

Week 4

TRIGONOMETRY

2D/3D TRIGONOMETRY

Week 5

TRIGONOMETRY

RADIANS

Week 6

TRIGONOMETRY

TRIGONOMETRIC IDENTITIES

Week 7

TRIGONOMETRY

SKETCHING TRIGONOMETRIC FUNCTIONS, SIMPLYFING TRIGONOMETRIC EQUATIONS (INCLUDING THOSE THAT REDUCE TO QUADRATICS)

Week 8

INTRODUCTION TO DIFFERENTIATION

GRADIENTS OF TANGENTS

Week 9

INTRODUCTION TO DIFFERENTIATION

FIRST PRINCIPLES

Week 10

INTRODUCTION TO DIFFERENTIATION

THE RULES OF DIFFERENTIATION

Week 1

INTRODUCTION TO DIFFERENTIATION

GRAPHICAL APPLICATIONS OF SIMPLE DIFFERENTION

Week 2

INTRODUCTION TO DIFFERENTIATION

MOTION

Week 3

LOGARITHMS AND EXPONENTIALS

INTRODUCING LOGARITHMS

Week 4

LOGARITHMS AND EXPONENTIALS

EXPONENTIALS

Week 5

LOGARITHMS AND EXPONENTIALS

GRAPHS AND APPLICATIONS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Week 6

PROBABILITY

SIMPLE PROBABILITY AND PROBABILITY TREES

Week 7

REVISION 1

TRIGONOMETRIC IDENTITIES AND PROOFS

Week 8

PRACTICE EXAM

PRACTICE EXAM

Week 9

PROBABILITY AND DISCRETE PROBABILITY DISTRIBUTIONS

PROBABILITY AND VENN DIAGRAMS

Week 10

PROBABILITY AND DISCRETE PROBABILITY DISTRIBUTIONS

MEAN AND VARIANCE

Week 1

CALCULUS

AREA BETWEEN CURVES

Week 2

CALCULUS

ODES 1

Week 3

CALCULUS

SOLVING ODES

Week 4

CALCULUS

SOLVING ODES USING THE SEPARATION OF VARIABLES

Week 5

CALCULUS

SKETCH ODES

Week 6

CALCULUS

APPLICATIONS OF ODES TO THE REAL WORLD

Week 7

PROJECTILE MOTION

UNDERSTAND THE CONCEPT OF A PROJECTILE

Week 8

PROJECTILE MOTION

APPLY CALCULUS TO THE EQUATIONS OF MOTION TO SOLVE PROBLEMS INVOLVING PROJECTILES

Week 9

STATISTICS

DISCRETE PROBABILITY DISTRIBUTIONS

Week 10

PROJECTILE MOTION

PROJECTILE 1

WEEK 11

POLYNOMIALS

POLYNOMIAL REVISION 1

WEEK 12

EXAM

PRACTICE TRIAL

Week 1

STATISTICS

RELEVANT SECTIONS FROM 2U12 STATISTICS

Week 2

VECTORS

VECTOR PROOFS

Week 3

INTEGRATION

INTEGRATION BY SUBSTITUTION AND THE REVERSE CHAIN RULE

Week 4

CALCULUS

PROJECTILE MOTION

Week 5

TRIGONOMETRY

3D TRIGONOMETRY REVISION

Week 6

PERMUTATIONS AND COMBINATIONS REVISION (1/3)

ESTABLISH COMBINATORIAL PROOFS OF THE PASCALS TRIANGLE RELATIONS

Week 7

PERMUTATIONS AND COMBINATIONS REVISION (2/3)

THE PIGEONHOLE PRINCIPLE

Week 8

PERMUTATIONS AND COMBINATIONS REVISION (3/3)

PERMUTATIONS AND COMBINATIONS

Week 9

TRIGONOMETRIC FUNCTIONS

INVERSE TRIGONOMETRY

Week 10

STATISTICS

BERNOULLI RANDOM VARIABLES

WEEK 11

STATISTICS

BINOMIAL PROBABILITY

WEEK 12

STATISTICS

THE BINOMIAL DISTRIBUTION

Week 1

STATISTICS

UNDERSTAND AND APPLY THE FORMULAE FOR THE MEAN, E (X) = X̄ = NP , AND THE VARIANCE, V AR (X) = NP(1 − P), OF A BINOMIAL DISTRIBUTION WITH PARAMETERS N AND P

Week 2

EXAM

PRACTICE TRIAL

Week 3

EXAM

PRACTICE TRIAL

Week 4

GRAPHS

GRAPHING TECHNIQUES 1

Week 5

GRAPHS

GRAPHING TECHNIQUES 2

Week 6

TRIAL EXAM

TRIAL EXAM

Week 7

TRIAL EXAM

TRIAL EXAM

Week 8

TRIAL EXAM

TRIAL EXAM

Week 9

TRIAL EXAM

TRIAL EXAM

Week 10

STATISTICAL ANALYSIS

BERNOULLI AND BINOMIAL DISTRIBUTIONS

WEEK 11

STATISTICAL ANALYSIS

NORMAL APPROXIMATION FOR THE SAMPLE PROPORTION

WEEK 12

TRIAL EXAM

TRIAL EXAM

Week 1

PROOF

MATHEMATICAL INDUCTION

Week 2

TRIGONOMETRY

AUXILARY ANGLE METHODS

Week 3

TRIGONOMETRY

SOLVING TRIGONOMETRIC EQUATIONS AND PROVING TRIGONOMETRIC IDENTITIES

Week 4

DIFFERENTIAL CALCULUS

DIFFERENTIATION OF TRIGONOMETRIC, EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Week 5

DIFFERENTIAL CALCULUS

THE FIRST AND SECOND DERIVATIVES

Week 6

DIFFERENTIAL CALCULUS

APPLICATIONS OF DIFFERENTIATION

Week 7

INTEGRAL CALCULUS

INTEGRAL CALCULUS

Week 8

INTEGRAL CALCULUS

DEFINITE INTEGRALS, TRAPEZOIDAL RULE

Week 9

INTEGRAL CALCULUS

INTEGRATION BY SUBSTITUTION

Week 10

FURTHER CALCULUS SKILLS

CALCULUS OF TRIGONOMETRIC FUNCTIONS

WEEK 11

FURTHER CALCULUS SKILLS

DERIVATIVES OF INVERSE TRIGONOMETRIC FUNCTIONS

WEEK 12

FURTHER CALCULUS SKILLS

VOLUMES 1