Year 5 is where whole numbers, decimals, fractions and percentages all come together. Our structured programme uses visuals and everyday examples, like sale prices and GST, so bigger numbers feel manageable and every method makes sense.

Key Topics Covered:

Place value to 100,000, multiplication and division, order of operations, decimals to thousandths, fractions, percentages, NZ money and GST, area, volume, angles, coordinate grids, data and chance.

Parent Tip:

Look at a shop flyer or receipt together and work out a 20% discount or the GST. Short, real-life number talk builds confidence faster than long worksheets. We make sure each idea clicks before moving on.

Read, write, round and calculate with whole numbers to 100,000

Multiply and divide larger numbers using methods that make sense

Compare, add and subtract decimals and fractions with unlike denominators

Link fractions, decimals and percentages and use them with NZ money and GST

Find area, volume and angle measures with the right units

Read graphs, find the mean and describe chance

Parent and child practising Year 5 maths at home in New Zealand

No.	Topic	What We Cover
01	Place Value to 100,000	Read, write and show numbers to 100,000 with place value charts and number lines. Practise telling 45,206 from 45,260.
02	Rounding and Estimating Large Numbers	Round to the nearest 10, 100, 1,000 and 10,000 and use rounding to check answers.
03	Adding and Subtracting Large Numbers	Add and subtract numbers to 100,000 with place value strategies and the standard method, and check for sense.
04	Multiplying Two-Digit by Two-Digit Numbers	Multiply with area models and partial products, such as 34 x 26, and then link to the standard method.
05	Multiplying Three-Digit by Two-Digit Numbers	Extend multiplication to larger numbers and estimate first to spot mistakes.
06	Dividing Larger Numbers by One Digit	Divide up to four-digit numbers with partial quotients and long division, and check by multiplying.
07	Division with Two-Digit Divisors	Divide by two-digit numbers using estimation and multiples, and interpret remainders.
08	Order of Operations	Use brackets, multiplication, division, addition and subtraction in the right order.
09	Patterns, Equations and Word Problems	Write and solve equations with an unknown and use them for multi-step problems, such as the total crowd at a school netball tournament.
10	Term 1 Check-In and Review	Revise large numbers, multiplication and division through mixed tasks. A termly mock test and parent report follow.

Try a Free Lesson to See the Full Programme

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

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No.	Topic	What We Cover
11	Decimals to Thousandths	Read, write and show decimals to thousandths with place value charts and grids.
12	Comparing, Ordering and Rounding Decimals	Compare, order and round decimals using number lines and place value.
13	Adding and Subtracting Decimals	Add and subtract decimals to thousandths and line up the digits correctly.
14	Multiplying Decimals by Whole Numbers	Multiply decimals using area models and estimation, such as the cost of 6 items at $3.45 each.
15	Dividing Decimals by Whole Numbers	Divide decimals by whole numbers and use the answer in measurement and money problems.
16	Multiplying and Dividing by 10, 100 and 1,000	See how digits shift and use it to convert between metric units.
17	Fractions, Decimals and Percent	Link fractions, decimals and percent as parts of 100, such as 1/4 = 0.25 = 25%.
18	Using Percent in Real Life	Find simple percents of amounts, such as a 20% discount on a $50 jacket, and compare deals.
19	Money, GST and Budgets	Work out totals with GST at 15%, compare prices and plan a simple budget in NZ dollars.
20	Term 2 Review	Revise decimals, percent and money. A termly mock test and parent report follow.

No.	Topic	What We Cover
21	Equivalent Fractions and Simplest Form	Find equal fractions and write fractions in simplest form using models and factors.
22	Comparing and Ordering Fractions	Compare and order fractions and mixed numbers using benchmarks and common denominators.
23	Improper Fractions and Mixed Numbers	Move between improper fractions and mixed numbers with models and number lines.
24	Adding Fractions with Unlike Denominators	Add fractions by finding a common denominator and simplify the answer.
25	Subtracting Fractions with Unlike Denominators	Subtract fractions with unlike denominators using models and equivalent fractions.
26	Adding and Subtracting Mixed Numbers	Add and subtract mixed numbers with regrouping and check with estimates.
27	Fractions of a Whole Number	Find a fraction of an amount, such as 3/4 of 24 students in a class.
28	Multiplying a Fraction by a Whole Number	Use repeated addition and models to multiply fractions by whole numbers.
29	Fraction Word Problems	Solve multi-step problems with fractions, such as sharing a recipe or planning a tramp on a Great Walk.
30	Term 3 Review	Revise fractions and mixed numbers. A termly mock test and parent report follow.

No.	Topic	What We Cover
31	Perimeter and Area of Rectangles	Find perimeter and area with formulas and solve problems, such as the floor of a bedroom.
32	Area of Triangles and Parallelograms	Use base and height to find the area of triangles and parallelograms.
33	Volume of Rectangular Prisms	Build prisms with cubes and find volume in cubic centimetres and cubic metres.
34	Capacity and Mass: Metric Conversions	Convert between millilitres and litres and between grams and kilograms in everyday examples.
35	Angles and Triangles	Measure and draw angles with a protractor and sort triangles by sides and angles.
36	Transformations, Coordinate Grids and Coding	Plot points on a grid, show slides, flips and turns and write simple coding sequences.
37	Data: Mean, Median and Graphs	Read and make bar graphs and line graphs and find the mean, median and mode of a set of data.
38	Probability	Describe the likelihood of events with fractions and test them with spinners and dice.
39	Mixed Problems and Test-Style Practice	Practise multi-step numeracy problems and explain your thinking, in the style of school assessments.
40	Year 5 Review and Year 6 Readiness	Revise the year's key skills and preview Year 6 maths, including ratios. A termly mock test and parent report follow.

Year 5 Maths Tutoring Across New Zealand

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 Programme

Try a Free Lesson to See the Full Programme

Try a Free Lesson to See the Full Programme

Try a Free Lesson to See the Full Programme