Year 3 is the year your child meets multiplication, division and fractions in earnest. Our structured programme builds each idea with visuals and hands-on tasks, from arrays to $1 and $2 coins, so facts make sense before speed.

Key Topics Covered:

Place value to 1,000, addition and subtraction, multiplication and division facts, fractions, NZ money and cash rounding, time, metric measurement, perimeter and area, symmetry, patterns and graphs.

Parent Tip:

Practise facts in short, daily bursts of five minutes, not long sessions. Ask your child to work out the cost of three $2 snacks at the dairy. We make sure each idea clicks before moving on.

Read, write, compare and round numbers to 1,000

Add and subtract within 1,000 using strategies that make sense

Multiply and divide with facts up to 5 by 5

Show and compare fractions on number lines and with sets

Count NZ money, make change and round cash totals to the nearest 10 cents

Find perimeter and area, tell time to the minute and read bar graphs

Parent and child practising Year 3 maths at home in New Zealand

No.	Topic	What We Cover
01	Place Value to 1,000	Read, write and show numbers to 1,000 with place value blocks and charts. Practise telling 408 from 480.
02	Number Lines and Skip Counting	Count forward and back by 2s, 3s, 5s, 10s and 100s on number lines and hundreds boards.
03	Expanded Form and Number Names	Write numbers in standard form, expanded form and words, such as 536 = 500 + 30 + 6.
04	Comparing and Ordering Numbers	Compare and order numbers to 1,000 using place value and the words more than, less than and equal to.
05	Rounding to the Nearest 10 and 100	Round numbers using number lines and place value, such as rounding 347 to 350 and 300.
06	Addition Strategies Within 1,000	Add three-digit numbers using place value, compensation and open number lines, then check with estimates.
07	Subtraction Strategies Within 1,000	Subtract three-digit numbers by counting up, breaking tens and using open number lines.
08	Estimating Sums and Differences	Estimate before you calculate and decide whether an answer makes sense.
09	Addition and Subtraction Word Problems	Solve one-step and two-step problems and write a number sentence for each, such as the distance on a road trip from Auckland to Rotorua.
10	Term 1 Check-In and Review	Revise place value, rounding and addition and subtraction 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	Equal Groups and Arrays	Show multiplication as equal groups and rectangular arrays, such as 4 rows of 6 seats in a classroom.
12	Repeated Addition and Skip Counting	Connect repeated addition and skip counting to multiplication sentences, such as 5 + 5 + 5 = 3 x 5.
13	Multiplication Facts for 2, 5 and 10	Build quick recall of the 2, 5 and 10 times tables with number lines, arrays and patterns.
14	Multiplication Facts for 3 and 4	Learn the 3 and 4 times tables using doubles, halving and known facts.
15	Multiplication Facts Up to 5 by 5	Reach fluency with facts up to 5 by 5 using strategies such as doubling and near facts.
16	Division as Sharing and Grouping	Share items equally and make equal groups to understand division, such as dividing 24 stickers among 4 friends.
17	Division Facts and Fact Families	Link multiplication and division facts in fact families, such as 3 x 5 = 15 and 15 / 3 = 5.
18	Multiplication and Division Word Problems	Choose the right operation for one-step problems and write a number sentence to match.
19	Patterns in the Multiplication Table	Spot patterns, such as even products and skip counting rows, and use them to remember facts.
20	Term 2 Review	Revise multiplication, division and word problems. A termly mock test and parent report follow.

No.	Topic	What We Cover
21	Fractions of a Whole	Name and show halves, thirds, quarters and other equal parts of shapes, such as slices of a pizza.
22	Fractions on a Number Line	Place fractions between 0 and 1 on number lines and see that each part is equal in size.
23	Fractions of a Set	Find a fraction of a group of objects, such as 1/4 of 12 stickers.
24	Comparing Fractions	Compare fractions with the same numerator or the same denominator using models and number lines.
25	NZ Money	Count coins and notes, including $1 and $2 coins and $5, $10 and $20 notes, to find a total.
26	Making Change and Rounding Cash Totals	Work out change and round cash totals to the nearest 10 cents, as shops do now that the 5c coin has gone.
27	Telling Time and Elapsed Time	Tell time to the minute on analogue and digital clocks and find how much time has passed, such as the length of morning tea.
28	Length: Millimetres, Centimetres and Metres	Measure and estimate lengths in metric units and choose the best unit for the job.
29	Mass and Capacity	Measure and compare mass in grams and kilograms and capacity in millilitres and litres, such as a 2 litre bottle of milk.
30	Term 3 Review	Revise fractions, money, time and measurement. A termly mock test and parent report follow.

No.	Topic	What We Cover
31	Perimeter	Find the distance around shapes by adding side lengths, such as the edge of the school field.
32	Area with Square Units	Cover shapes with square units and count them to find the area, then link to rows and columns.
33	2D Shapes and Their Properties	Sort and describe polygons by sides, corners and angles.
34	Line Symmetry	Find and draw lines of symmetry in shapes, letters and designs.
35	3D Objects and Their Attributes	Describe cubes, prisms and pyramids by faces, edges and corners.
36	Patterns, Equations and Coding	Extend patterns, find missing numbers in equations and write simple coding sequences with repeats.
37	Bar Graphs and Pictographs	Collect data, build bar graphs and pictographs with a scale and answer questions about them.
38	Chance and Likelihood	Describe events as certain, likely, unlikely or impossible and test them with spinners and dice.
39	Mixed Problems and Test-Style Practice	Practise multi-step problems and explain your thinking, with test-style questions to build exam confidence.
40	Year 3 Review and Year 4 Readiness	Revise the year's key skills and preview Year 4 maths, including multi-digit multiplication. A termly mock test and parent report follow.

Year 3 Maths Tutoring Across New Zealand

By Term 4 of Year 3 Maths, Your Child Will...

Year 3 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