Year 4 is where numbers get bigger and ideas start to connect. Our structured programme links multiplication, fractions and decimals through visuals and real examples, like prices in New Zealand dollars and cents, so every step makes sense.

Key Topics Covered:

Place value to 10,000, multiplication and division, factors and multiples, fractions and decimals, NZ money, area and perimeter, angles, transformations, coordinate grids and graphs.

Parent Tip:

Spot tenths and hundredths at the supermarket: a $2.49 price is 2 dollars and 49 hundredths. Short, daily number talk beats long worksheets. We make sure each idea clicks before moving on.

Read, write, compare and round numbers to 10,000

Multiply and divide larger numbers by one digit with confidence

Find equivalent fractions and compare tenths and hundredths

Add and subtract fractions and decimals, including NZ money

Find area and perimeter, measure angles and plot points on a grid

Read and make bar graphs and line graphs and describe chance

Parent and child practising Year 4 maths at home in New Zealand

No.	Topic	What We Cover
01	Place Value to 10,000	Read, write and show numbers to 10,000 with place value blocks and charts. Practise telling 4,068 from 4,608.
02	Number Names, Expanded Form and Comparing	Write numbers in standard form, expanded form and words, then compare and order them, such as 6,205 = 6,000 + 200 + 5.
03	Rounding to the Nearest 10, 100 and 1,000	Round numbers using number lines and place value and use rounding to estimate.
04	Addition Within 10,000	Add four-digit numbers using place value, trading and estimation, then check the answer for sense.
05	Subtraction Within 10,000	Subtract four-digit numbers by breaking tens and counting up, and check with addition.
06	Mental Maths and Estimation	Use friendly numbers, compensation and breaking apart to calculate quickly in your head.
07	Multiples and Factors	Find multiples and factors of numbers to 100 and spot patterns in the multiplication table.
08	Patterns and Number Rules	Extend and describe growing patterns with a rule, and find missing numbers in equations.
09	Multi-Step Addition and Subtraction Problems	Solve problems with more than one step, such as comparing distances between NZ cities, and explain the plan.
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	Multiplication Facts to 10 by 10	Build quick recall of every times table to 10 by 10 using patterns, arrays and fact families.
12	Multiplying by 10 and 100	See how digits shift when you multiply by 10 and 100 and use it to multiply mentally.
13	Two-Digit by One-Digit Multiplication	Multiply with area models and partial products, such as 6 x 34, and then link to the standard method.
14	Multiplying Larger Numbers by One Digit	Multiply three-digit numbers by one digit and check answers with estimates.
15	Division Facts and Related Facts	Use multiplication facts to divide quickly, with fact families up to 100.
16	Dividing Two- and Three-Digit Numbers by One Digit	Divide using sharing, area models and partial quotients, and check by multiplying.
17	Remainders	Decide what a remainder means in a problem, such as how many vans are needed to carry 38 students.
18	Multiplication and Division Word Problems	Choose the right operation for one-step and two-step problems and write an equation for each.
19	Multi-Step Problems and Equations	Solve problems that mix operations and write equations with an unknown, such as 4 x n = 36.
20	Term 2 Review	Revise multiplication, division and word problems. A termly mock test and parent report follow.

No.	Topic	What We Cover
21	Equivalent Fractions	Find equal fractions with fraction strips and number lines, such as 1/2 = 2/4 = 4/8.
22	Comparing and Ordering Fractions	Compare and order fractions using benchmarks such as 0, 1/2 and 1, and common denominators.
23	Mixed Numbers and Improper Fractions	Show amounts greater than one as mixed numbers and improper fractions, and move between them.
24	Adding and Subtracting Fractions	Add and subtract fractions with like denominators using models and number lines.
25	Tenths and Hundredths	Link fractions to decimals with tenths and hundredths, using grids and money, such as $0.75.
26	Comparing and Ordering Decimals	Compare and order decimals to hundredths using place value charts and number lines.
27	Adding and Subtracting Decimals	Add and subtract decimals to hundredths, such as totalling prices at the supermarket.
28	Decimals and NZ Money	Solve money problems with dollars and cents, including making change and rounding cash totals to the nearest 10 cents.
29	Fractions, Decimals and Number Lines	Place fractions and decimals on the same number line and see how they connect.
30	Term 3 Review	Revise fractions, decimals and money. A termly mock test and parent report follow.

No.	Topic	What We Cover
31	Area of Rectangles	Find area using square units, then use length times width, such as the floor of a classroom.
32	Perimeter and Area Problems	Solve problems that mix perimeter and area, such as fencing a school garden.
33	Mass and Capacity	Measure, estimate and convert grams, kilograms, millilitres and litres in everyday examples.
34	Elapsed Time and 24-Hour Clocks	Read 12-hour and 24-hour clocks and find elapsed time, such as the length of the ferry ride from Wellington to Picton.
35	Angles	Name right, acute and obtuse angles, compare them to a right angle and measure with a protractor.
36	Lines, Symmetry and Transformations	Spot parallel and perpendicular lines and show slides, flips and turns of shapes.
37	Coordinate Grids	Plot and read points on the first quadrant of a grid and describe a path with coordinates.
38	Graphs and Chance	Read and make bar graphs and line graphs, and describe the chance of events with simple fractions.
39	Mixed Problems and Test-Style Practice	Practise multi-step problems and explain your thinking, with test-style tasks to build exam confidence.
40	Year 4 Review and Year 5 Readiness	Revise the year's key skills and preview Year 5 maths, including decimals and volume. A termly mock test and parent report follow.

Year 4 Maths Tutoring Across New Zealand

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

Year 4 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