Year 5 is a pivotal year in maths, bridging primary and middle school concepts. Decimals, percentages, and more complex fractions are introduced, and strong foundations from earlier years become essential.

Key Topics Covered:

Decimals and place value, factors and multiples, equivalent fractions, percentages, fraction operations, perimeter and area, probability, and multi-step problem solving.

Parent Tip:

Year 5 is another NAPLAN year. Students who understand the 'why' behind maths operations, not just the 'how,' consistently perform better.

Multiply and divide whole numbers fluently using written methods

Add and subtract fractions and decimals with understanding

Convert between common metric units of measurement

Describe transformations including reflection and rotation

Use grid coordinates and compass directions accurately

Evaluate chance experiments and list possible outcomes

S.No	Topic	What We Cover
01	Decimals – Place Value & Ordering (Part 1)	Students explore decimal place value up to thousandths using concrete models such as place-value charts and base-ten representations. Focus is on understanding tenths, hundredths, and thousandths and how decimals relate to whole numbers.
02	Decimals – Ordering & Representation (Part 2)	Builds on Session 1 by comparing, ordering, and representing decimals on number lines. Students justify which decimal is greater or smaller using place-value reasoning and visual models.
03	Factors & Multiples – Concept & Lists	Introduces factors and multiples through grouping, arrays, and skip counting. Students learn to list factors and multiples of numbers and recognise basic divisibility rules for 2, 5, and 10.
04	Divisibility & LCM/HCF	Extends factor knowledge to common factors and common multiples. Students determine highest common factor (HCF) and lowest common multiple (LCM) using listing and reasoning strategies.
05	Fractions – Equivalent & Comparison	Students identify and generate equivalent fractions using fraction walls, visual models, and number lines. Emphasis is placed on understanding fraction size rather than rote rules.
06	Comparing & Ordering Fractions (Part 2)	Students compare and order fractions with related denominators and numerators. Strategies include visual comparison, conversion to equivalent forms, and reasoning without calculators.
07	Percentages – Concept + Links to Fractions	Introduces percentages as “parts per hundred” using grids and visual models. Students connect percentages to familiar fractions such as halves, quarters, and tenths.
08	Percentages – Applications & Problems	Applies percentage understanding to real-life contexts such as discounts, increase/decrease, and complementary percentages. Emphasis on reasoning rather than formulas.
09	Add & Subtract Fractions	Students add and subtract fractions with related denominators using visual and numerical strategies. Real-world word problems are used to reinforce understanding.
10	Problem Solving & Review	Consolidation of decimals, fractions, and percentages through multi-step problem solving. Students explain strategies and check solutions for reasonableness.

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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