Number & Real Numbers

Algebra & Equations

Measurement & Geometry

Data & Chance

Financial Mathematics

S.No	Topic	What We Cover
01	Perfect Squares & Visual Patterns	Investigate squares of 1–20 using dot arrays and square grids. Explore patterns in square numbers, connections to area, and use of square notation. Compare growth between consecutive squares and recognise emerging numerical patterns.
02	Square Roots & Estimation	Explore the relationship between square numbers and their square roots. Estimate roots of non-perfect squares by locating numbers between two consecutive square numbers. Apply to contexts such as side lengths of square areas.
03	Prime Factors & Factor Trees	LeRepresent natural numbers as products of prime powers using factor trees, repeated division, and exponent notation. Investigate powers of 2, 3, and 5 and recognise numerical growth sequences.arn
04	LCM & HCF Using Prime Factorisation	Find lowest common multiples and highest common factors through comparison of prime factorizations. Apply to problems involving synchronisation, tiling patterns and grouping tasks.
05	Powers of 10 & Expanded Notation	Explore exponent notation for powers of 10 (10¹, 10², 10³…). Represent large numbers using place value expansions and scientific-style notations. Connect expanded notation with meaning in real contexts.
06	Rational Numbers on the Number Line	Represent fractions, mixed numbers and negative rational numbers on a number line. Use diagrams and number walls to explore equivalence, compare values and map intervals.
07	Fractions, Decimals, Percentages – Equivalence	Convert between fractions, decimals and percentages using diagrams, manipulatives and proportion reasoning. Reduce fractions using common divisors and justify equivalence visually and numerically.
08	Rounding & Estimation for Reasonableness	Round decimals to a required accuracy and determine appropriate rounding based on context. Use estimation to check reasonableness of calculations in real-life scenarios such as budgeting, material estimation and measurement.
09	Introduction to Integers & Ordering	Use number lines to compare and order integers, reinforcing vocabulary such as magnitude, sign and difference. Link integer ideas to elevation, temperature, bank balances and day-to-day contexts.
10	Term 1 Review & Assessment	Review square numbers, prime factors, rational numbers, estimation and integers. Apply skills to multi-step problems, reasoning tasks and term-end mastery checks.

Student in a tutoring session with their tutor

Warm-up (5 min)

Quick review of the previous session to reinforce learning

Core Teaching (25 min)

New concept introduction with examples and guided practice

Guided Practice (15 min)

Student works through problems with tutor support

Independent Practice (10 min)

Student applies skills independently

Wrap-up (5 min)

Summary, homework assignment, and preview of next session

"My daughter went from struggling with fractions to confidently solving complex problems. The teachers are patient, knowledgeable, and really understand how to make learning fun. Best decision we made for her education!"

"We tried two other tutoring services before TutorExel. The difference is night and day. My son actually looks forward to his classes now, and his NAPLAN results improved dramatically. Worth every penny!"

SAME YEAR