Year 5 Maths brings decimals to thousandths, factors, multiples and fraction operations that build quickly on earlier skills. This is also the year students sit NAPLAN, so any gaps need fixing early.

Key Topics Covered:

Decimals to thousandths, factors and multiples, fractions, percentages, area and volume, angles and the Cartesian plane.

Parent Tip:

Year 5 sits NAPLAN in March, so the first term matters. If multiplication felt tricky in Year 4, fractions will too, so we fill earlier gaps first.

Find factors, multiples and the highest common factor and lowest common multiple

Read, write and order decimals to thousandths

Add and subtract fractions and link them to decimals and percentages

Calculate area and volume of rectangles and prisms

Measure and construct angles with a protractor

Describe chance and explain what data displays show

$Student working on decimals and fractions for Year 5 maths online with a tutor in Australia$

No.	Topic	What We Cover
01	Decimals to Thousandths	Extend place value to thousandths using base-ten materials and number lines. Read, write and order decimals such as 3.425 and explain what each digit is worth.
02	Comparing and Ordering Decimals	Compare and order decimals with different numbers of places, such as 0.4, 0.38 and 0.405, using number lines and money and measurement contexts.
03	Rounding Decimals	Round decimals to the nearest whole number, tenth or hundredth and use rounding to estimate answers to real problems.
04	Factors and Multiples	Find factors and multiples of whole numbers using arrays and number patterns, and explain how they are linked.
05	Common Factors and Multiples (HCF and LCM)	Identify common factors and common multiples of two numbers, and find the highest common factor and lowest common multiple.
06	Prime and Composite Numbers	Sort numbers into prime and composite, test them using factor pairs and justify the sorting.
07	Equivalent Fractions	Find equivalent fractions with models and number lines, and simplify fractions with related denominators such as halves, quarters and eighths.
08	Comparing and Ordering Fractions	Compare and order fractions, mixed numerals and improper fractions, including those with related denominators.
09	Fractions, Decimals and Percentages	Link fractions, decimals and percentages, such as 1/4 = 0.25 = 25%, and place them on a number line from 0 to 1.
10	Problem Solving and Review	Mixed problems on decimals, factors and fractions with reasoning. Revise the term and finish with a short quiz.

Try a Free Lesson to See the Full Program

See our structured approach in action. Your child's first lesson is completely free, no credit card needed.

Student in a tutoring session with their tutor

Warm-up (5 min)

Quick mental maths and a review of the previous session

Core Teaching (25 min)

New concept from the lesson eBook, with examples and guided practice

Guided Practice (15 min)

Student works through problems with tutor support

Independent Practice (10 min)

Student completes the in-class quiz independently

Wrap-up (5 min)

Summary, 2 take-home quizzes and a preview of the 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 academic results improved dramatically. Worth every penny!"

SAME YEAR

Year 5 English

See the full Year 5 English program, with 40 live sessions mapped to the Australian Curriculum.

View Program

PRICING

Clear AUD Pricing

See simple monthly plans in Australian dollars for every Year level. No hidden fees, no lock-in contracts, just great value tutoring.

See Pricing

Ready to Help Your Child Excel?

Join the Australian families who trust TutorExel with their child's learning. Book your FREE trial class today, no credit card required.

+61 470-330-548

No.	Topic	What We Cover
11	Adding and Subtracting Fractions	Add and subtract fractions with the same or related denominators, such as 1/2 + 1/4, using fraction walls and number lines.
12	Fractions of Quantities	Find a fraction of a collection or amount, such as 3/4 of 24, and link it to division and multiplication.
13	Multiplying by Two-Digit Numbers	Multiply larger numbers by two-digit numbers using area models, partitioning and efficient written methods.
14	Dividing by One-Digit Numbers	Divide multi-digit numbers by one-digit divisors and interpret remainders as whole numbers, fractions or decimals.
15	Choosing Efficient Strategies	Decide when to use mental, written or digital methods for the four operations and explain why the strategy suits the problem.
16	Estimation and Reasonableness	Estimate answers by rounding and use estimates to check whether a calculation makes sense.
17	Adding and Subtracting Decimals	Add and subtract decimals using place value, including money amounts in Australian dollars and measurement problems.
18	Multiplying and Dividing Decimals	Multiply and divide decimals by whole numbers and by 10, 100 and 1000, using place value patterns.
19	Money and Percentage Discounts	Solve money problems involving 10%, 25% and 50% discounts, such as a sale at a sporting goods shop, and calculate change.
20	Number Patterns and Review	Describe and continue number patterns involving fractions and decimals. Revise the term with mixed problems.

No.	Topic	What We Cover
21	Area of Rectangles	Calculate the area of rectangles using the formula and relate it to arrays, such as the area of a classroom or a cricket pitch.
22	Perimeter and Area Problems	Compare perimeter and area of rectangles and solve practical problems, including shapes with the same perimeter but different areas.
23	Volume and Capacity	Connect volume and capacity, and measure using cubic centimetres, millilitres and litres with models and containers.
24	Volume of Rectangular Prisms	Calculate the volume of rectangular prisms by counting and layering unit cubes and apply it to packing problems.
25	Time Zones and 24-Hour Time	Convert between 12-hour and 24-hour time and use Australian time zones to solve problems, such as a call from Perth to Sydney.
26	Scale and Maps	Interpret scale on maps and plans of Australian places and use it to find real distances.
27	Measuring and Constructing Angles	Use a protractor to measure and construct angles in degrees and classify them as acute, right, obtuse or reflex.
28	Properties of Shapes and Solids	Describe the features of 2D shapes and 3D objects, including prisms and pyramids, and connect them to nets.
29	Transformations	Describe and perform translations, reflections and rotations on shapes and patterns, including on a grid.
30	Cartesian Plane	Plot and read coordinates in the first quadrant and use them to describe positions and movements.

No.	Topic	What We Cover
31	Collecting and Displaying Data	Plan a question, collect data and choose a suitable display such as a column graph, dot plot or table.
32	Reading and Interpreting Graphs	Read data displays, compare them and draw conclusions, including spotting misleading features.
33	Mean and Variation in Data	Explore variation in data and find the mean of a small set of numbers, such as scores in a class game.
34	Statistical Investigations	Run an investigation from question to data, display and conclusion, then present the findings.
35	Describing Chance	Describe the likelihood of events using words such as certain, likely and unlikely, and place them on a 0 to 1 scale.
36	Probability as Fractions and Percentages	Describe chance using fractions, decimals and percentages, such as a 1/2 or 50% chance of heads.
37	Chance Experiments and Variation	Run repeated experiments with coins, spinners and dice, record the results and explain why outcomes vary.
38	Mathematical Modelling	Use mathematics to model real situations, such as planning a school fete budget, and justify the solution.
39	Whole Number and Fraction Review	Revisit place value, factors, fractions and decimals through games, puzzles and mixed problems.
40	Year 5 Review and Year 6 Readiness	Revise the year's key skills, sit a short mixed numeracy set and preview Year 6 maths.

Year 5 Maths Tutoring in Australia

By Term 4 of Year 5 Maths, Your Child Will...

Year 5 Maths Curriculum, Term by Term

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program