Year 6 is the bridge to intermediate maths. Our structured programme builds integers, ratios, fractions, percentages and early algebra with visuals and everyday examples, like frosty-morning temperatures and exchange rates, so every idea makes sense.

Key Topics Covered:

Whole numbers to 1,000,000, integers, factors and multiples, decimals, fractions, percentages, ratios and rates, exchange rates, algebra, area, volume, surface area, four-quadrant grids, data and chance.

Parent Tip:

Check the temperature together on a frosty morning and talk about how far below zero it is. Short, daily number talk beats long worksheets. We make sure each idea clicks before moving on.

Calculate with whole numbers to 1,000,000 and integers

Add, subtract, multiply and divide fractions and decimals

Link fractions, decimals and percentages and use them with GST and discounts

Solve ratio and rate problems, including exchange rates

Write and solve simple equations with variables

Find area, volume and surface area and read graphs with mean and median

Parent and child practising Year 6 maths at home in New Zealand

No.	Topic	What We Cover
01	Place Value to 1,000,000	Read, write and show numbers to 1,000,000 with place value charts and number lines. Practise telling 506,040 from 560,040.
02	Rounding and Estimating	Round large numbers to any place and use estimates to check that answers make sense.
03	Multiplying Whole Numbers	Multiply multi-digit numbers with area models and the standard method, and estimate first.
04	Dividing Whole Numbers	Divide multi-digit numbers using partial quotients and long division, and interpret remainders.
05	Order of Operations	Use brackets, exponents, multiplication, division, addition and subtraction in the right order.
06	Factors, Multiples and Prime Numbers	Find factors and multiples, spot prime and composite numbers and use them to simplify problems.
07	Integers and Negative Numbers	Meet negative numbers through everyday cases, such as a frosty morning of -5 degrees Celsius in Queenstown.
08	Comparing and Ordering Integers	Compare and order positive and negative numbers on number lines and thermometers.
09	Multi-Step Word Problems	Plan and solve problems with more than one step and explain each decision.
10	Term 1 Check-In and Review	Revise whole numbers, operations and integers 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, compare and order decimals to thousandths with place value charts.
12	Multiplying Decimals	Multiply decimals using area models and estimation, such as the cost of 2.5 kg of apples.
13	Dividing Decimals	Divide decimals by whole numbers and by decimals and use the result in money and measurement problems.
14	Equivalent Fractions and Mixed Numbers	Find equal fractions, simplify them and move between mixed numbers and improper fractions.
15	Adding and Subtracting Fractions	Add and subtract fractions and mixed numbers with unlike denominators and simplify answers.
16	Multiplying Fractions	Multiply a fraction by a whole number and by another fraction using area models.
17	Fraction Word Problems	Solve multi-step problems with fractions, such as scaling a recipe or sharing a bag of trail mix.
18	Fractions, Decimals and Percent	Convert between fractions, decimals and percent and place them on the same number line.
19	Percent, Discounts and GST	Find percent of an amount, such as a 30% discount, and work out totals with GST at 15%.
20	Term 2 Review	Revise decimals, fractions and percent. A termly mock test and parent report follow.

No.	Topic	What We Cover
21	Ratios and Equivalent Ratios	Compare quantities with ratios and build equivalent ratios with tables and models.
22	Unit Rates	Find rates such as price per kilogram or speed in kilometres per hour and compare deals.
23	Ratio and Rate Problems	Solve problems with ratios and rates, such as scaling a recipe or a road trip at 100 km/h.
24	Money and Exchange Rates	Convert between NZ and Australian dollars with an exchange rate and see why rates change.
25	Variables and Expressions	Use letters to stand for unknowns and write expressions from word problems.
26	Equations and Unknowns	Solve one-step and two-step equations and check the answer.
27	Patterns and Relations	Describe growing patterns with tables of values and rules.
28	Coding with Variables and Loops	Write simple code that uses variables and repeats to solve a problem.
29	Algebra Word Problems	Translate real-life situations into equations and solve them.
30	Term 3 Review	Revise ratios, rates and algebra. A termly mock test and parent report follow.

No.	Topic	What We Cover
31	Area of Triangles and Parallelograms	Use base and height to find the area of triangles and parallelograms, and solve area problems.
32	Volume of Prisms	Find volume of rectangular and triangular prisms in cubic centimetres and cubic metres.
33	Surface Area of Prisms	Use nets to find the surface area of prisms and see how it differs from volume.
34	Angles and Triangles	Measure and draw angles, find unknown angles in triangles and classify triangles.
35	Transformations and the Coordinate Grid	Plot points in all four quadrants and show slides, flips and turns of shapes.
36	Data: Mean, Median, Mode and Graphs	Read and make graphs and find mean, median, mode and range of a data set.
37	Probability	Find the probability of simple events as fractions, decimals and percent and test with experiments.
38	Mixed Problems and Test-Style Practice	Practise multi-step problems and explain your thinking, with test-style questions to build exam confidence.
39	Maths Modelling Project	Plan a budget for a school camp, using rates, percent and estimates, and present the plan.
40	Year 6 Review and Year 7 Readiness	Revise the year's key skills and preview Year 7 maths, including ratios and algebra. A termly mock test and parent report follow.

Year 6 Maths Tutoring Across New Zealand

By Term 4 of Year 6 Maths, Your Child Will...

Year 6 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