ChalkBee

The New Zealand Curriculum, explained

A plain-English guide to the New Zealand Curriculum (NZC) for teachers and parents: how it is structured, its eight learning areas, and how our year levels line up with it. Our maths is deep; other areas are partial or planned, and we say so honestly below.

The curriculum is mid-refresh, so here is where things stand.

The New Zealand Curriculum is being refreshed as Te Mataiaho. The refreshed Mathematics and Statistics and English learning areas are required in all state and state-integrated schools from Term 1, 2026, with the Mathematics and Statistics statement for Years 0 to 10 in force from 1 January 2026. These two areas are now written as year-by-year phase progressions. The other six learning areas are still being refreshed and, for now, sit alongside the long-standing structure of eight curriculum levels. We describe both, and flag what is settled versus still rolling out, rather than presenting one model as final. Always check current detail with the Ministry of Education.

Maths and Statistics phases (refreshed)

The refreshed Mathematics and Statistics learning area runs across four phases from Years 0 to 10. Primary and intermediate schools cover the first three; Phase 4 (Years 9 to 10) sits in secondary school. Every statement of the teaching sequence is browsable below.

Phase 1
Years 0 to 3

The foundation years, building number sense, counting, place value and beginning addition and subtraction alongside early measurement and shape.

Phase 2
Years 4 to 6

Multiplicative thinking grows: times tables, multiplication and division, fractions and decimals, plus measurement, geometry and statistics.

Phase 3
Years 7 to 8

The intermediate years, consolidating fractions, decimals and percentages, ratios and proportion, and early algebra before secondary school.

Phase 4
Years 9 to 10

The first two years of secondary school: financial mathematics, exponents and scientific notation, linear and starting quadratic algebra, Pythagoras' theorem and trigonometric ratios, and multivariate statistical investigations.

The maths teaching sequence, statement by statement

Browse all 208 Mathematics and Statistics teaching-sequence statements for Years 0 to 10, paraphrased in our own words with a link to the official source. Each statement shows whether ChalkBee has matched worksheets at the equivalent level; a badge means relevant support exists, not that one worksheet covers every clause.

About these references

The Ministry of Education does not publish codes for teaching-sequence statements. Ids such as nz-p2-num-03 are stable ChalkBee references, not official curriculum codes. Tahurangi curriculum content is Crown copyright, Ministry of Education, CC BY-NC 4.0, so every statement here is our own paraphrase with the source cited, never the official wording.

Worksheets
161
statements
In progress
5
statements
Resource gap
42
statements

Phase 1 (Years 0-3)

63 statements Β· official source

Year 1

Number: Number structureRead, write, compare and order whole numbers to 100 using the tens-and-ones structure of place value, use ordinal suffixes such as 2nd and 3rd, count forwards or backwards from any number within 100, use te reo Maori number names to 30, and locate numbers on a partly labelled number line.WorksheetsNumber: Counting collectionsSpot smaller groups inside a larger collection, count up to 20 objects singly and then in pairs, and find totals by grouping in pairs, 5s or 10s, understanding that ten ones can be renamed as one ten.WorksheetsNumber: Skip countingCount forwards and backwards in 2s and 10s from any whole number up to 100, noticing that counting in 2s from an even number gives even numbers.WorksheetsNumber: Addition and subtractionMemorise addition and subtraction facts to 10 along with doubles and halves, add and subtract one- and two-digit numbers within 20 (including 0), add ten to a single digit, and solve one-step story problems using objects and pictures.WorksheetsNumber: Multiplication and divisionUnderstand multiplication as combining equal groups and division as equal sharing or grouping, multiplying and dividing by counting equal groups with totals up to 20.WorksheetsNumber: FractionsRecognise and make halves and quarters as equal parts of shapes, sets and quantities, find a half or quarter of a set by equal sharing, and connect a quarter with halving a half.WorksheetsNumber: Financial mathematicsRecognise New Zealand coins and notes and know the value of each denomination.Resource gapAlgebra: Equations and relationshipsUnderstand +, - and = as symbols where equals means both sides show the same quantity, complete open number sentences, and check whether one-digit addition and subtraction sentences are true or false.WorksheetsAlgebra: PatternsCopy, continue, create and describe repeating patterns with three elements, and find a missing element by reasoning from the rest of the pattern.WorksheetsMeasurement: MeasuringCompare and order lengths, weights and capacities directly or through a shared reference object, using comparative language such as longer, shorter, taller, heavier and lighter.WorksheetsMeasurement: TimeTell o'clock times on analogue and digital clocks, pick sensible units (years down to seconds) to describe how long things take, and sequence the events of a day using everyday time language such as before, after, yesterday and tomorrow.WorksheetsGeometry: ShapesIdentify, describe and sort familiar 2D and 3D shapes presented in any orientation, including cubes, cylinders and spheres, with te reo Maori shape names supporting the attribute language.WorksheetsGeometry: Spatial reasoningCompose larger shapes from smaller shapes by trial and error, and decompose shapes back into smaller shapes.WorksheetsGeometry: PathwaysFollow and give instructions to move to a different place using directions, distances such as counted steps, and half and quarter turns.WorksheetsStatistics: Data collectionPose an investigative question with a limited set of categories, collect categorical data about the class, and record the results with tally charts.WorksheetsStatistics: Data visualisationCreate picture graphs for categorical data, using one consistent image per response so categories can be compared fairly.WorksheetsStatistics: Data interpretationDescribe a picture graph by giving each category's frequency, and answer questions such as which category has the most or the least.Worksheets

Year 2

Number: Number structureRead, write, compare and order whole numbers to 120, recognise what each digit in a two-digit or three-digit number is worth, use te reo Maori number names to 100, and place numbers up to 120 on a number line labelled in tens.WorksheetsNumber: Counting collectionsCount collections up to 120 efficiently by first organising them into groups such as tens, knowing that ten tens rename as one hundred.WorksheetsNumber: RoundingRound numbers up to 120 to the nearest ten, using the ones digit and a number line to decide which ten is closer.Resource gapNumber: Skip countingCount forwards and backwards in 2s, 5s and 10s within 120, count forwards in 3s from multiples of 3, and identify odd and even numbers up to 120 by their final digit.WorksheetsNumber: Addition and subtractionMemorise addition and subtraction facts to 20 with doubles and halves, add and subtract within 100 using place value and known facts, add three one-digit numbers, and solve one-step problems within 100 and multi-step problems within 20.WorksheetsNumber: Multiplication and divisionUse arrays and equal groups to represent multiplication and division, connect skip counting to the 2, 5 and 10 times tables, memorise those facts with their matching division facts, and work with products and dividends up to 100.WorksheetsNumber: FractionsRead, write and represent halves, thirds and quarters using numerators and denominators, recognise that two quarters equal one half, compare fractions built from halves, thirds and quarters, and find a half, third or quarter of a set using groups and patterns.WorksheetsNumber: Financial mathematicsOrder New Zealand coins and notes by value, group like denominations and calculate their total, and combine denominations (all notes or all coins) to make a target amount.WorksheetsAlgebra: Equations and relationshipsMeet the multiplication and division symbols, check the truth of and complete number sentences across all four operations using tens frames, materials or number lines, and judge true-or-false comparisons of numbers up to 120.WorksheetsAlgebra: PatternsRecognise and describe the unit of repeat in a repeating pattern, and use it together with ordinal position to predict elements further along the pattern.WorksheetsMeasurement: MeasuringEstimate and measure length, weight and capacity by repeating an informal unit, order several objects with those units, and begin measuring with labelled tools in whole-number metric units (centimetres, grams, millilitres).WorksheetsMeasurement: TurnsTurn objects or themselves and describe how far the turn went using full, half, quarter and three-quarter turns as benchmarks, including clockwise and anticlockwise directions.WorksheetsMeasurement: TimeName and order the months and seasons, tell time to the hour, half hour and quarter hour using past and o'clock language, describe durations of familiar events, and know facts such as 60 minutes in an hour and 30 minutes in half an hour.WorksheetsGeometry: ShapesIdentify, describe, visualise and sort a wider range of 2D and 3D shapes, including ovals, semicircles, pentagons, hexagons, rectangular prisms (cuboids), pyramids and cones, using attributes such as faces, edges and vertices.WorksheetsGeometry: Spatial reasoningFlip (reflect), slide (translate) and turn (rotate) 2D shapes to make patterns or compose new shapes.WorksheetsGeometry: PathwaysFollow and create step-by-step instructions for moving people or objects, including turns and distances, and use pictures, diagrams and positional language to describe where things are.WorksheetsStatistics: Data collectionCollect categorical data and sort responses into categories, deciding whether an 'other' category is needed to hold rare responses.WorksheetsStatistics: Data visualisationCreate data displays for categorical data, including picture graphs and dot plots where each data point is a same-sized dot.WorksheetsStatistics: Data interpretationDescribe data displays using the variable name and its context, give frequencies for each category, and answer most-and-least questions.Worksheets

Year 3

Number: Number structureRead, write, compare and order whole numbers to 1,000 using thousands, hundreds, tens and ones, recognising the place value of each digit in a three-digit number.WorksheetsNumber: Counting collectionsCount collections beyond 120 by structuring them into groups of 10 or 100, knowing that ten hundreds rename as one thousand.WorksheetsNumber: RoundingRound numbers to the nearest ten or hundred, and use rounding to estimate the answer to a calculation before working it out.WorksheetsNumber: Skip countingCount forwards and backwards in 2s, 3s, 4s, 5s and 8s from multiples of those numbers, and in 10s and 100s from any whole number up to 1,000.WorksheetsNumber: Addition and subtractionFind complements to 100 (such as 34 + ? = 100), add and subtract numbers up to 1,000 using renaming across place values and column methods, and solve one-step problems within 1,000 and multi-step problems within 100.WorksheetsNumber: Multiplication and divisionMemorise multiplication and matching division facts for 2s, 3s, 4s, 5s, 8s and 10s, multiply one- and two-digit numbers by a one-digit number, and divide whole numbers by a one-digit divisor with no remainder, knowing dividing by zero is impossible.WorksheetsNumber: FractionsRepresent fractions with small denominators as parts of sets, measurements and regions and on number lines, count in unit fractions to one whole, compare unit fractions and same-denominator fractions, identify equivalent fractions, add and subtract same-denominator fractions within a whole, and connect unit fractions of amounts to division.WorksheetsNumber: Financial mathematicsMake amounts of money using coins and notes, write mixed amounts as dollars and cents without decimal notation, know New Zealand currency is a decimal system of 100 cents to the dollar, and use addition and subtraction to work out totals and change.WorksheetsAlgebra: Equations and relationshipsCheck the truth of and complete open number sentences involving any of the four operations with numbers up to 1,000, including comparison statements.WorksheetsAlgebra: PatternsRecognise, continue and create growing number patterns whose terms increase or decrease by a consistent rule.WorksheetsMeasurement: MeasuringEstimate and measure length in centimetres and metres, mass in grams and kilograms, and capacity in millilitres and litres using labelled measuring tools, and compare and order objects with those units.WorksheetsMeasurement: Perimeter and areaMeasure the perimeter of polygons in metric units, understanding perimeter as the total distance around a 2D shape, and measure the area of rectangles by covering them with equal-sized squares.WorksheetsMeasurement: TimeTell time on analogue and digital clocks to the nearest 5 minutes and the nearest minute using minutes past and minutes to, work with durations across units, and know key facts such as 24 hours in a day, 365 or 366 days in a year, and larger spans like decades, centuries and millennia.WorksheetsGeometry: ShapesIdentify, describe, visualise and sort regular polygons with up to 10 sides, knowing a regular polygon has all sides equal and all interior angles equal.WorksheetsGeometry: Spatial reasoningRecognise lines of symmetry in patterns and pictures, and create or complete symmetrical patterns where one half mirrors the other across the line of symmetry.WorksheetsGeometry: PathwaysUse simple maps, understood as a view from above with symbols, to locate objects and places relative to others, with the four cardinal compass directions: north, east, south and west.WorksheetsStatistics: Data collectionCollect numerical data whose answers are counts or whole-number measurements (such as shoe sizes or teeth lost) alongside sorting categorical data.WorksheetsStatistics: Data visualisationCreate dot plots and bar graphs for categorical and numerical data, where each bar's height or length shows its category's frequency.WorksheetsStatistics: Data interpretationDescribe and answer questions about data displays for categories and counts, including questions that need calculations, such as the total across all categories.Worksheets

Phase 2 (Years 4-6)

69 statements Β· official source

Year 4

Number: Number structureRead, write, compare and order whole numbers up to 10,000, understanding that each place in the base 10 system is worth ten times the place to its right and that zero acts as a placeholder.WorksheetsNumber: Rounding and estimationRound whole numbers to the nearest thousand, hundred or ten and round tenths to the nearest whole number, using rounding to predict and check calculations.WorksheetsNumber: Counting sequencesCount forwards and backwards in 2s through 9s, 25s and 50s from multiples of the counting unit, and in 10s, 100s and 1,000s from any whole number up to 10,000.WorksheetsNumber: Addition and subtractionAdd and subtract numbers up to four digits, choosing between mental strategies, known facts, place value and column methods that rely on regrouping and renaming.WorksheetsNumber: Multiplication and divisionMemorise multiplication and division facts for the 2 to 10 times tables, multiply mentally using place value and derived facts, multiply two- and three-digit numbers by a one-digit number, and divide up to three-digit numbers by a one-digit divisor with no remainder.WorksheetsNumber: Fractions and decimalsRead, write, compare and order tenths as fractions and decimals, make decimals by dividing whole numbers by 10 and multiply tenths by 10, compare fractions sharing a numerator or denominator, place improper fractions and mixed numbers on a number line, and identify equivalent fractions from representations.WorksheetsNumber: Adding and subtracting fractions and decimalsAdd and subtract fractions with the same denominator, including sums past one whole, and add and subtract decimals to one decimal place.WorksheetsNumber: Scaling and proportionScale quantities up and down with known facts, such as doubling or halving a recipe, find a unit fraction of a whole number, and find the whole set when given a unit fraction of it.WorksheetsNumber: Financial mathematicsCalculate the total cost of several whole-dollar items or multiples of the same item, give change, and make amounts like $5.80 using different combinations of notes and coins.WorksheetsAlgebra: Equations and relationshipsCheck the truth of and complete open number sentences across addition, subtraction, multiplication and division with larger numbers, knowing that applying the same operation to both sides keeps a number sentence balanced.WorksheetsAlgebra: PatternsRecognise, continue, create and describe growing patterns, numeric or spatial, that change by adding, subtracting or multiplying by a constant whole number.WorksheetsMeasurement: MeasuringBuild estimation benchmarks from familiar objects and experiences, measure length, mass and capacity in mixed units such as 1 m and 23 cm, and measure temperature in degrees Celsius.WorksheetsMeasurement: Perimeter, area and volumeMeasure perimeters of polygons in millimetres, centimetres and metres, measure areas of irregular shapes with squares and half squares, calculate rectangle areas by multiplying side lengths, and measure the volume of cuboids by filling them with identical blocks.WorksheetsMeasurement: AnglesUnderstand angles as measures of turn in degrees, with a full turn 360, a half turn 180 and a quarter turn 90, and estimate angle sizes against those benchmarks.WorksheetsMeasurement: TimeTell the time on analogue and digital clocks to the nearest minute, measure durations in mixed units of hours, minutes and seconds, and find equivalent durations across units, such as 3 weeks being 21 days.WorksheetsGeometry: ShapesIdentify, classify and describe regular and irregular polygons of up to 12 sides using edges, vertices and angles, and count lines of symmetry in 2D shapes, knowing a circle has infinitely many.WorksheetsGeometry: Spatial reasoningVisualise 3D shapes from 2D diagrams, verbal descriptions and views from different perspectives, and perform single reflections, translations and rotations on 2D shapes.WorksheetsGeometry: PathwaysUse alphanumeric grid references such as B2, which combine a lettered row with a numbered column, to identify regions and plot positions on a grid map.WorksheetsStatistics: Data collectionDistinguish categorical variables from counted (discrete) and measured (continuous) numerical variables, and collect numerical data, rounding measurements to a sensible unit for the context.WorksheetsStatistics: Data visualisationCreate dot plots and bar graphs that include the parts a good display needs: a title, labelled variables, the group studied, units, categories or values, and a frequency scale starting at zero.WorksheetsStatistics: Data interpretationAnswer frequency and individual-value questions from dot plots, distinguishing questions about a particular value from questions about how often a value occurs, and interpret displays in context.WorksheetsProbability: Chance and likelihoodRun repeated chance games and experiments and describe how outcomes differ, classify everyday events from impossible through even-chance to certain, and place events on a 0-to-1 likelihood number line.Worksheets

Year 5

Number: Number structureRead, write, compare and order whole numbers up to 1,000,000 using base 10 structure, and find factor pairs for numbers made by multiplying any two whole numbers between 1 and 10.WorksheetsNumber: Rounding and estimationRound whole numbers to any place from the nearest hundred thousand down to the nearest ten, and round tenths or hundredths to the nearest whole number.WorksheetsNumber: Counting sequences and negative numbersCount in 11s and 12s from their multiples, count in 1,000s, 10,000s and 100,000s from any number up to 100,000, and count backwards through zero into negative numbers, knowing negatives sit left of zero on a number line.WorksheetsNumber: Addition and subtractionAdd and subtract increasingly large whole numbers, selecting mental strategies or standard written algorithms as appropriate.WorksheetsNumber: Multiplication and divisionMemorise multiplication and division facts to the 12s, apply mental strategies, factor pairs and multiples to larger numbers, multiply three- and four-digit numbers by one digit and pairs of two-digit numbers, and divide up to four-digit numbers by one digit with remainders.WorksheetsNumber: Fractions, decimals and percentagesWork with tenths and hundredths as fractions and decimals, compare and order numbers to two decimal places, convert 10%, 25% and 50% to fractions and decimals, multiply and divide by 10 and 100, recognise families of equivalent fractions, and match equivalent mixed numbers and improper fractions.WorksheetsNumber: Adding and subtracting fractions and decimalsAdd and subtract fractions when denominators match or one is a multiple of the other, including improper fractions, and add and subtract decimals to two decimal places.WorksheetsNumber: Scaling and proportionFind non-unit fractions of whole numbers, find the whole set from a fractional part, find 10%, 25% and 50% of whole numbers, and find the whole (100%) when given 25% or 50%.WorksheetsNumber: Financial mathematicsCalculate costs involving dollars and cents with change from the nearest ten dollars, write mixed money amounts using decimal notation, and round money to the nearest dollar.WorksheetsAlgebra: Equations and relationshipsComplete number sentences by choosing equality and inequality symbols (=, <, >) between expressions, and complete open sentences with numbers into the hundreds of thousands.WorksheetsAlgebra: PatternsRecognise, continue, create and describe growing patterns that change by a constant amount, including steps that are not whole numbers, such as 3, 4.5, 6, 7.5.WorksheetsMeasurement: MeasuringMeasure accurately with rulers, scales, measuring jugs, thermometers and timers, using appropriate metric or time units and combinations of units.WorksheetsMeasurement: Metric conversionConvert metric units of length between metres and centimetres, knowing the milli-, centi- and kilo- prefixes scale a base unit by 1,000ths, 100ths and 1,000s.WorksheetsMeasurement: Perimeter, area and volumeApproximate areas of irregular shapes including partial squares, calculate areas of rectangles, find cuboid volumes by multiplying a layer by the number of layers, calculate perimeters of regular polygons and straight-sided shapes, and recognise that equal areas can have different perimeters.WorksheetsMeasurement: AnglesDescribe and classify angles as acute, right, obtuse, straight or reflex, and construct and classify angles up to 180 degrees using a protractor.WorksheetsMeasurement: TimeTell the time and find durations across a.m., p.m. and 24-hour notation, aware that solar and lunar calendars, including the maramataka Maori, organise time differently.WorksheetsGeometry: ShapesIdentify, classify and describe prisms using cross-sections, faces, edges and vertices, and identify parallel and perpendicular lines, including in the sides of polygons.WorksheetsGeometry: Spatial reasoningConnect 3D shapes with their nets, and describe which reflections, translations or rotations have been performed on a 2D shape.WorksheetsGeometry: PathwaysInterpret and create grid maps, plotting positions and pathways using grid references, directional language and the four main compass points.WorksheetsStatistics: Data collectionCollect continuous numerical data by measuring and applying specified rounding rules, and collect bivariate data involving two categorical variables, such as lunchtime activity and gender.WorksheetsStatistics: Data visualisationOrganise continuous numerical data into tables with grouped ranges, and create clustered bar graphs with a key for paired categorical data.WorksheetsStatistics: Data interpretationAnswer questions from grouped-data tables and from bivariate displays where one category appears more often than another, describing a display's shape, middle group and spread.Worksheets

Year 6

Number: Number structureRead, write, compare and order whole numbers of any size, and find factor pairs for numbers made by multiplying any two whole numbers between 1 and 12.WorksheetsNumber: Rounding and estimationRound whole numbers to any place from the nearest million down to the nearest ten, and round hundredths to the nearest whole number or tenth.WorksheetsNumber: Squares and cubesRecognise square and cube numbers and their squared and cubed notation, memorising square numbers to 144 and cube numbers to 125.WorksheetsNumber: Negative numbersCount forwards and backwards through positive and negative numbers (for example starting at -6 and counting back in 2s), understanding where negatives arise, such as temperatures and debt, and that zero is neither positive nor negative.WorksheetsNumber: Order of operationsEvaluate expressions using the order of operations: brackets first, then exponents, then multiplication and division left to right, then addition and subtraction left to right.WorksheetsNumber: Addition and subtractionAdd and subtract any whole numbers fluently, choosing efficient methods.WorksheetsNumber: Multiplication and divisionMultiply any whole number by a two-digit number, divide up to five-digit numbers by a one-digit divisor, and express remainders as whole numbers, fractions or decimals to suit the context, connecting unit fractions of whole numbers with division.WorksheetsNumber: Fractions, decimals and percentagesWork with tenths, hundredths and thousandths, compare and order numbers to three decimal places, memorise decimal and percentage equivalents of common fractions like fifths and quarters, convert decimals to fractions and percentages, multiply and divide by 10, 100 and 1,000, and convert between mixed numbers and improper fractions.WorksheetsNumber: Adding and subtracting fractions and decimalsAdd and subtract fractions and mixed numbers when one denominator is a multiple of the other, and add and subtract decimals to three decimal places.WorksheetsNumber: Scaling and proportionFind non-unit fractions and common percentages (1%, 10%, 20%, 25%, 50%, 75%) of whole numbers, find the whole from a percentage or non-unit fraction, and reason proportionally with fractions, decimals and percentages to compare quantities and find missing values.WorksheetsNumber: Financial mathematicsCalculate 10%, 25% and 50% of whole-dollar amounts, and investigate purchase questions such as checking whether there is enough money for a shopping list.WorksheetsAlgebra: Equations and relationshipsCheck the truth of and complete number sentences involving all four operations and inequalities, including 'or equal to' symbols, while respecting the order of operations.WorksheetsAlgebra: Patterns and the coordinate planeDevelop a word rule for a growing pattern and predict later elements, locate points on a coordinate plane using (x, y) coordinates, and turn a pattern rule into a table of values whose points can be plotted.WorksheetsMeasurement: MeasuringEstimate length, mass, capacity, temperature and duration against benchmarks, choosing appropriate metric or time-based units.WorksheetsMeasurement: Metric conversionConvert between metric units of length, mass and capacity by multiplying or dividing by 10, 100 or 1,000, combining mixed units into decimals such as 10 kg and 500 g making 10.5 kg.WorksheetsMeasurement: Perimeter, area and volumeCalculate, estimate and compare volumes of cubes and rectangular prisms in cubic centimetres and cubic metres, and areas of rectangles and right-angled triangles in square centimetres and square metres, knowing a right-angled triangle is half its surrounding rectangle.WorksheetsMeasurement: AnglesClassify, measure and construct angles up to 360 degrees with a protractor, and find unknown angles using angles at a point (360 degrees), angles on a straight line (180 degrees) and vertically opposite angles being equal.WorksheetsMeasurement: TimeConvert between hours, minutes and seconds, measure duration in 12- and 24-hour systems, find elapsed time across the hour (such as 2:53 pm to 3:28 pm), and use timetables such as bus and train schedules to calculate durations.WorksheetsGeometry: ShapesCompare and classify 2D shapes, including triangle types and the quadrilateral family (trapezium, parallelogram, kite, rhombus, rectangle, square), examine interior angles of triangles and quadrilaterals, distinguish prisms from pyramids, and find orders of rotational symmetry.WorksheetsGeometry: Spatial reasoningVisualise, create and describe geometric patterns and tessellations using rotation, reflection and translation, identify the shape properties that stay unchanged, and predict the results of two-step transformations.WorksheetsGeometry: PathwaysInterpret and create maps with grid references and simple scales, describing positions and pathways with compass points, turns in degrees, and distances in metres or kilometres.WorksheetsStatistics: Data collectionCollect time-series data that tracks a variable over time, and calculate the mean (the sum of values divided by their count) and the range (highest minus lowest) for numerical data.WorksheetsStatistics: Data visualisationCreate time-series graphs on a coordinate plane with time on the x-axis, and choose an appropriate type of display for a given set of data.WorksheetsStatistics: Data interpretationIdentify whether a time-series graph shows a trend, calculate an average and range for continuous data, and interpret data displays, including ones found in the media.WorksheetsProbability: Probability calculationsList the sample space of a chance situation, such as the six faces of a dice, calculate probabilities of individual outcomes when outcomes are equally likely, work out probabilities from spinners, and check that the probabilities of all outcomes add to 1.Worksheets

Phase 3 (Years 7-8)

41 statements Β· official source

Year 7

Number: Powers of 10 and exponentsRead, write, compare and order whole numbers using powers of 10, express repeated multiplication with positive exponents, and write numbers in expanded form built from powers of 10.WorksheetsNumber: Primes, factors and rootsUse exponents and square roots (with radical notation) for square numbers up to at least 144, apply divisibility rules for 2 through 10, identify prime numbers up to 100, and find highest common factors of numbers under 100 and least common multiples of numbers under 10.WorksheetsNumber: IntegersLocate and order integers on a number line, identify additive inverses that sum to zero, represent addition and subtraction of integers on a number line, and use negative numbers in contexts such as temperature and finance.WorksheetsNumber: Rounding and calculationRound whole numbers to any power of 10 and decimals to the nearest whole number, tenth or hundredth, use rounding and estimation to check reasonableness, multiply whole numbers, and divide by one- or two-digit divisors, expressing remainders as fractions or decimals.WorksheetsNumber: Order of operationsEvaluate expressions using the order of operations, remembered with a mnemonic such as GEMA: grouped operations, exponents, multiplicative operations, additive operations.WorksheetsNumber: Fractions and decimalsConvert between and order fractions, decimals and percentages, find equivalent and simplest-form fractions, add and subtract fractions (including improper fractions and mixed numbers) and decimals, multiply and divide by powers of 10, multiply whole numbers and decimals by fractions, and divide fractions by whole numbers.WorksheetsNumber: Percentages and proportionFind common percentages and fractions of whole numbers, find the whole amount from a given fraction or percentage, and reason proportionally about multiplicative relationships, such as how many balls in total when there are 3 red for every 7 blue and 18 red.WorksheetsNumber: Financial mathematicsCalculate the total cost and change for transactions involving any amounts, apply percentage discounts to whole-dollar prices, and know that solutions in dollars round to two decimal places while cash rounds to the nearest 10 cents.WorksheetsAlgebra: EquationsForm and solve one- and two-step linear equations with integer solutions, check solutions by substitution, and check the truth of number sentences involving the four operations and inequalities.WorksheetsAlgebra: Expressions and formulaeUse algebraic notation (3b for repeated addition of b, ab for a times b, exponents for repeated multiplication), substitute values into expressions and formulae, rearrange known formulae in one or two steps, and simplify expressions by collecting like terms.WorksheetsAlgebra: Linear patternsPlot points in all four quadrants of the coordinate plane, use tables, graphs and diagrams to find the rule connecting position and element in a linear pattern, and express the constant increase or decrease as an equation using variables.WorksheetsMeasurement: Measuring and convertingSelect an appropriate base metric unit and prefix (such as kilo- or centi-) for a context, and estimate and measure length, area, volume, capacity, mass, temperature, time and angle.WorksheetsMeasurement: Perimeter, area and volume formulaeUse the formulae for the perimeter of squares and rectangles, the area of squares, rectangles and triangles, and the volume of cubes and rectangular prisms, including working backwards to find unknown side lengths and handling composite shapes.WorksheetsMeasurement: DurationRead, interpret and use timetables and charts that present information about duration.WorksheetsGeometry: ShapesClassify triangles by their angles (acute, right, obtuse) and by their sides (equilateral, isosceles, scalene), knowing every angle in an equilateral triangle is 60 degrees and the base angles of an isosceles triangle are equal.WorksheetsGeometry: AnglesReason about unknown angles formed by perpendicular lines, parallel lines and transversals, and solve for unknown angles by setting up multi-step equations from supplementary, complementary, vertical and adjacent angle relationships.WorksheetsGeometry: Spatial reasoningTransform 2D shapes on the coordinate plane by a single translation, a reflection across a given mirror line, or a rotation about a point in multiples of 90 degrees, identify the 2D shapes that make up 3D shapes, and draw nets for prisms and pyramids.WorksheetsGeometry: PathwaysInterpret and communicate positions and pathways using coordinates, angle measures, and the eight main and halfway compass points, such as north-east being 45 degrees east of north.Worksheets

Year 8

Number: Powers of 10 and exponentsExtend place value to negative powers of 10, write whole numbers and decimals in expanded form with powers of 10, and convert between negative powers of 10, fractions and decimals, such as 0.01 being one hundredth or ten to the negative 2.Resource gapNumber: Primes, factors and rootsUse exponents and cube roots for cube numbers up to at least 125, evaluate square and cube roots of perfect squares and cubes and approximate others with a calculator, and write composite numbers as products of prime factors summarised with exponents.Resource gapNumber: IntegersCompare and order positive and negative numbers, including decimals, on a number line, and evaluate addition and subtraction expressions involving negative numbers, such as 3 + (-7).WorksheetsNumber: Rounding and calculationRound decimals to the nearest thousandth where needed, use rounding, estimation and benchmarks to predict and check results, and multiply and divide whole numbers fluently, including two-digit divisors.Resource gapNumber: Order of operationsEvaluate expressions that combine integers with the order of operations.WorksheetsNumber: Fractions and decimalsMultiply fractions together and simplify the result, multiply whole numbers by improper fractions and mixed numbers, multiply positive decimals such as 2.3 x 45, and find fractions of whole numbers where the answer is a mixed number or improper fraction.Resource gapNumber: Percentages, ratio and proportionFind percentages of whole numbers and the whole from a percentage, use percentage equivalences such as 45% of 20 equalling 20% of 45, divide a quantity in a given part-to-part or part-to-whole ratio, and express a division of a quantity as a ratio.Resource gapNumber: Financial mathematicsCreate and compare weekly, monthly and yearly money plans, including savings plans, phone plans, budgets and buy-now-pay-later services, and apply percentage discounts, such as 35% off $180 giving $117.Resource gapAlgebra: Equations and inequalitiesForm and solve linear equations whose solutions can be negative or non-whole, and form and solve linear inequalities, representing solutions on a number line.WorksheetsAlgebra: Expressions and formulaeSimplify expressions involving sums, differences, products and single brackets, expand brackets such as 2(x + 3), factorise simple expressions using common factors, such as 5x - 35 = 5(x - 7), and rearrange formulae.WorksheetsAlgebra: Number patternsInvestigate the patterns of triangular, square and cube numbers, extend them, build tables of values, and plot the values on the coordinate plane.Resource gapMeasurement: Measuring and convertingConvert between metric units of area and volume, and between volume and capacity, knowing 1 mL is 1 cubic centimetre, 1 L is 1,000 cubic centimetres, and 1 cubic metre is 1,000 L.Resource gapMeasurement: Perimeter, area and volume formulaeCalculate areas of parallelograms and trapeziums, volumes of triangular prisms and of composite solids built from cubes, rectangular prisms and triangular prisms, and find unknown lengths of quadrilaterals from their area or perimeter.Resource gapMeasurement: DurationUse timetables, charts and results involving duration, including questions with fractions of time, and convert times to a given unit, such as hours and minutes into minutes.Resource gapGeometry: ShapesIdentify and describe the parts of a circle: the radius from centre to edge, the diameter across the centre, and the circumference around the outside.Resource gapGeometry: AnglesProve that a triangle's interior angles sum to 180 degrees, generalise the interior angle sum for any polygon as 180(n - 2) degrees along with exterior angles summing to 360 degrees, and find unknown interior and exterior angles of polygons.Resource gapGeometry: Spatial reasoningTransform 2D shapes, including composite shapes, on the coordinate plane using combinations of translations, reflections, rotations and scaling by any factor.Resource gapGeometry: PathwaysUse map scales, compass points, distances and turns to interpret and communicate positions and pathways in coordinate systems and grid reference systems.Resource gap

Phase 4 (Years 9-10)

35 statements Β· official source

Year 9

Number: Number structuresConvert between, compare and order fractions, decimals and percentages; record and order numbers in scientific notation; simplify fractions and convert between improper fractions and mixed numbers; identify the powers of 2 up to 2 to the 10th; convert negative powers into unit fractions; and place square roots between neighbouring perfect squares on a number line.In progressNumber: Rounding and estimationUse rounding and estimation to predict results and check that calculations are reasonable.Resource gapNumber: OperationsAdd, subtract, multiply and divide integers, fractions and decimals following the order of operations; generalise the rule for dividing by a fraction; connect decimal multiplication with fraction multiplication; check equivalences involving negatives, such as the difference between squaring negative 3 and negating 3 squared; and generalise about exponents of 0 and 1.Resource gapNumber: Percentages, ratios and ratesFind fractions and percentages of amounts and the whole from a part, express one number as a fraction or percentage of another, increase or decrease a number by a proportion, write and simplify whole-number ratios, divide quantities in a given ratio, and scale ratios and rates up or down.Resource gapNumber: Financial mathematicsApply percentage mark-ups and discounts to prices, and calculate 15% GST and simple interest on dollar amounts, such as finding the GST on a $432 job.WorksheetsAlgebra: Expressions and equationsSimplify expressions by collecting like terms, factorising out common factors and expanding a single term over a bracket; form and solve linear equations with rational coefficients and simple inequalities, knowing multiplying or dividing by a negative reverses an inequality; substitute values into formulae; and rearrange formulae, such as solving the rectangle perimeter formula for width.WorksheetsAlgebra: Linear graphsInterpret rules of the form y = mx + c, plot linear graphs from tables of substituted values, identify the sign of the gradient and the value of the y-intercept from tables and graphs, and connect linear patterns to their equations.Resource gapMeasurement: Measuring and precisionEstimate, calculate, convert and accurately represent measurements, selecting appropriate metric units and prefixes, knowing a result can be no more precise than the least precise measurement used in it.Resource gapMeasurement: Perimeter, circumference and areaFind perimeters of 2D shapes and circumferences of circles, understanding pi as circumference divided by diameter, derive and use perimeter formulae for half and quarter circles, and find areas of parallelograms, trapeziums and kites by relating each formula back to the rectangle.WorksheetsMeasurement: Pythagoras' theoremVerify that side lengths of a right-angled triangle satisfy Pythagoras' theorem, use the theorem to find the hypotenuse from the other two sides, prove it, for example by rearranging four identical right-angled triangles into a square, and generate new Pythagorean triples by scaling a known triple.In progressMeasurement: Speed, distance and timeUse the fixed relationship between speed, distance and time to find distance given speed and time, or time given distance and speed.Resource gapGeometry: Circles, lines and anglesIdentify and relate the parts of a circle, including the chord, radius, diameter and circumference, reason about unknown angles where lines intersect parallel lines (corresponding, alternate and co-interior angles), and use those angles to verify that two lines are parallel.Resource gapGeometry: Spatial reasoningRepresent and construct 3D shapes, including rectangular and triangular prisms and pyramids, from nets and plan-view drawings, and transform 2D shapes on the coordinate plane by translation, reflection about a line, and rotation about a point in multiples of 90 degrees.Resource gapStatistics: Statistical investigationsPlan and collect multivariate data, with at least one categorical and one numerical variable, to answer summary, comparison, relationship or time-series investigative questions, distinguish primary from secondary data, and calculate five-number summaries (minimum, quartiles, median, maximum) and the interquartile range.In progressStatistics: Data visualisationCreate multiple displays for an investigation, drawing on dot plots, bar graphs, frequency tables, box plots, histograms, time-series graphs, scatter plots and two-way tables, and select appropriate scales for the data.In progressStatistics: Data interpretationCommunicate findings in context with evidence to answer an investigative question, offer possible explanations, compare findings with initial conjectures and existing knowledge, evaluate the data-collection method, and critically assess displays, including from the media, recognising how chance affects certainty.In progressProbability: Experimental and theoretical probabilityCarry out chance experiments, including digital simulations with large numbers of trials, systematically list the outcomes in a sample space, and compare experimental probability from at least 30 trials with theoretical probability, explaining why more trials brings them closer together.Worksheets

Year 10

Number: Number structuresCalculate with numbers in scientific notation, identify irrational numbers such as pi and roots that never terminate, generalise about when square and cube roots are rational, calculate using integer exponents and the exponent rules, and calculate exactly with fractions, roots and multiples of pi.Resource gapNumber: Rounding and significant figuresRound to a specified number of significant figures using the significant-figure rules, and round to the degree of precision a context requires.Resource gapNumber: OperationsAdd, subtract, multiply and divide positive and negative numbers, including fractions and decimals, and evaluate positive integer exponents of positive and negative numbers.Resource gapNumber: Percentages, ratios and ratesApply proportional increases and decreases using multipliers, calculate the percentage increase or decrease between two numbers, and compare and use ratios and rates, such as finding speed from distance and time.Resource gapNumber: Financial mathematicsConvert between New Zealand dollars and other currencies, find proportions of costs such as the price of 400 g given a per-kilogram rate, and build up compound interest by calculating interest period by period over short time frames.Resource gapAlgebra: Expressions and equationsExpand products of two linear expressions, factorise quadratics with a leading coefficient of 1, including by grouping and recognising the difference of two squares, solve linear equations and inequalities with rational coefficients, solve factorised quadratics with the zero-product property, and substitute into and rearrange formulae involving squares and square roots.Resource gapAlgebra: Linear and quadratic graphsGraph linear equations from the gradient (rise over run) and y-intercept, calculate both from a graph, find a line's equation from two points or from a point and the gradient, compare steepness between lines, and explore how changing the coefficient or constant transforms simple quadratic graphs.Resource gapMeasurement: Measuring and precisionMeasure and calculate using significant figures, convert between metric units using prefixes from nano- and micro- up to giga- and tera-, and work with derived units such as square centimetres and kilometres per hour.Resource gapMeasurement: Area, surface area and volumeFind areas of circles, half and quarter circles and composite shapes with circular parts, derive and use surface-area formulae for cubes, rectangular prisms and cylinders, and calculate surface areas and volumes of prisms, pyramids and cylinders, including irregular prisms with a constant cross-section.Resource gapMeasurement: ScalingScale a shape by a factor and determine how the scale factor applies to the scaled shape's area or volume: linear conversions are squared for area and cubed for volume.Resource gapMeasurement: Pythagoras' theoremUse Pythagoras' theorem to find any unknown side of a right-angled triangle, check whether a triangle contains a right angle, and derive the formula for the distance between two points on the coordinate plane.Resource gapMeasurement: Speed, distance and timeFind any of speed, distance or time from the other two, interpret gradient as speed on a position-time graph, and reason about durations across units, including decimal fractions of milliseconds.Resource gapGeometry: Similarity and congruenceUse the properties of similar shapes, where corresponding angles are equal and corresponding sides are proportional, including in right-angled triangles, to find unknown lengths and angles, and distinguish similar shapes from congruent ones.Resource gapGeometry: Spatial reasoningRepresent and construct 3D shapes, including cylinders, from nets, and transform 2D and composite shapes by resizing them with any scale factor.Resource gapStatistics: Sampling and inferencePlan and collect multivariate data using a sample or census, understanding that samples must be random to avoid bias, with sample-size guidance of about 1,000 for categorical variables and at least 30 for numerical ones, and reason about whether the mean or median better summarises a question.Resource gapStatistics: Data visualisationFor relationship investigations, place the explanatory variable on the x-axis and the response variable on the y-axis, and draw an eyeballed line or curve of best fit to predict response values for given explanatory values.Resource gapStatistics: Data interpretationMake informal inferences about a population from group comparisons using the 75-percent-to-50-percent comparison rule, make informal predictions from scatter plots, distinguishing interpolation within the data's range from extrapolation beyond it, and communicate findings with an awareness of variability.Resource gapProbability: Experimental and theoretical probabilityRun chance experiments of at least 100 trials to demonstrate the Law of Large Numbers, create and describe displays of the distribution of observed outcomes, and calculate probability estimates, understanding joint, dependent, independent and mutually exclusive events.Resource gap

How our worksheets map to New Zealand years

Our worksheet library is authored with US grade labels. We line each New Zealand year up with the US grade of the same age. New Zealand children usually start school on or near their fifth birthday, so Year 1 lines up with US Kindergarten, and each New Zealand year is about one number ahead of the equivalent US grade. This is an age-based mapping, so children land on work pitched at the right stage rather than a year that simply shares a number.

NZ yearPhaseCurriculum levelAge (about)US grade equivalentWorksheets
Year 1Phase 1Level 15 to 6KindergartenYear 1 maths β†’
Year 2Phase 1Level 16 to 7Grade 1Year 2 maths β†’
Year 3Phase 1Level 27 to 8Grade 2Year 3 maths β†’
Year 4Phase 2Level 28 to 9Grade 3Year 4 maths β†’
Year 5Phase 2Level 39 to 10Grade 4Year 5 maths β†’
Year 6Phase 2Level 310 to 11Grade 5Year 6 maths β†’
Year 7Phase 3Level 411 to 12Grade 6Year 7 maths β†’
Year 8Phase 3Level 412 to 13Grade 7Year 8 maths β†’
Year 9Phase 4Level 513 to 14Grade 8Year 9 maths β†’
Year 10Phase 4Level 514 to 15Grade 9Year 10 maths β†’

Year 0 describes children who start school in the final part of a school year; they join Year 1 work at their own pace, so we do not list it separately. Curriculum levels are the long-standing NZC bands (each level spans about two years); phases are the refreshed maths progressions.

The 8 learning areas, and what we cover

The New Zealand Curriculum has eight learning areas. Mathematics and Statistics is our deepest area; English is well covered. The rest use our general worksheets, which are not yet tailored to the New Zealand context, so we mark them honestly.

Mathematics and Statistics
Number, Algebra, Measurement, Geometry, Statistics, Probability
Full coverage

Our deepest area. Ready-made worksheets across number, the four operations, fractions, decimals and percentages, measurement, geometry and statistics, strongest across Years 1 to 8, with answer keys computed in code so the maths is never wrong. Worksheets can use New Zealand money and metric units. Dedicated Phase 4 sets now cover both years of secondary school: Year 9 financial mathematics, algebra, measurement and probability, and Year 10 compound interest, currency conversion, irrational numbers, quadratics, circle and solid measurement, and the Law of Large Numbers.

Refreshed statement in force from 2026.

English
Making meaning (listening, reading, viewing), Creating meaning (speaking, writing, presenting)
Some coverage

Phonics, sight words, spelling, grammar, vocabulary, handwriting and reading comprehension, with the option of international (New Zealand and UK style) spelling such as colour and centre. Extended writing and oral language stay classroom-based.

Refreshed statement in force from 2026.

Science
Living world, Planet Earth and beyond, Physical world, Material world, Nature of science
Some coverage

General science worksheets (life cycles, habitats, materials, forces, weather, the solar system) and science vocabulary. These are not yet tailored to the New Zealand context, and hands-on investigation stays in the classroom.

Social Sciences
Identity, culture and organisation; place and environment; continuity and change; the economic world
Some coverage

Dedicated Aotearoa New Zealand's Histories sets for Years 4-8 (the content required in all schools since 2023): waka voyaging and the arrival of Māori, early Māori life, first European contact, Te Tiriti o Waitangi, the New Zealand Wars and 20th-century milestones, every fact checked against NZ History and Te Ara with sources cited on each topic. Plus general worksheets on maps, continents and oceans, community, needs and wants, and goods and services. New Zealand places and civics content is still planned rather than built.

The Arts
Dance, Drama, Music (sound arts), Visual arts
Some coverage

Music theory printables (note names, note values, dynamics) and visual arts printables (colour mixing, the colour wheel, elements of art), plus colouring pages. Dance and drama are practical, so they stay classroom-based.

Health and Physical Education
Personal health and physical development, Movement concepts and motor skills, Relationships with others, Healthy communities and environments
Some coverage

Health printables on food groups, the body, hygiene, safety and naming feelings. Movement and physical activity are practical, so they are played rather than printed.

Technology
Technological practice, Technological knowledge, Nature of technology, Designing and developing (including computational thinking)
Some coverage

Digital thinking printables (step sequences and algorithms, branching, parts of a computer, binary numbers) and design-process sheets. Hands-on making and real coding stay classroom-based.

Learning Languages
Communication, Language knowledge, Cultural knowledge
Planned

Planned: beginner vocabulary and alphabet practice for popular languages.

What is the New Zealand Curriculum?

The New Zealand Curriculum (NZC) is the national framework for what students learn in English-medium state schools, across eight learning areas. Traditionally it is organised into eight curriculum levels spanning Years 1 to 13, where each level covers about two years, with achievement objectives rather than a strict year-by-year list. The refreshed Mathematics and Statistics and English areas now add clearer year-by-year phase progressions. Find your year in the table above, then print worksheets for it.

Teaching elsewhere? See US Common Core then the UK national curriculum or the Australian Curriculum.

Alongside the NZC, a separate national curriculum called Te Marautanga o Aotearoa serves Maori-medium schools and kura. We acknowledge and respect it as its own document and do not attempt to cover it here; these pages describe the English-medium New Zealand Curriculum.

Make a maths worksheet

Curriculum facts are paraphrased in our own words. The New Zealand Curriculum and its refresh (Te Mataiaho) are published by the Ministry of Education (Te Tahuhu o te Matauranga), the authority for what is taught. See newzealandcurriculum.tahurangi.education.govt.nz and education.govt.nz. ChalkBee is not affiliated with the Ministry of Education. Cross-check current detail as the refresh rolls out. Grade-level mapping uses our US-grade library.