# New Zealand Curriculum

### Mathematics and statistics curriculum achievement objectives

Our apps can help to cover most objectives in the 'Number and algebra' area from Levels 1 to 5.

The Teaching Graphs app can help cover the 'Statistics' area from Levels 1 to 6.

Check the boxes to filter your requirements:

## Level 1

### Number and algebra

Number strategies
Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions.
Number knowledge
Know the forward and backward counting sequences of whole numbers to 100.
Know groupings with five, within ten, and with ten.
Equations and expressions
Communicate and explain counting, grouping, and equal-sharing strategies, using words, numbers, and pictures.
Patterns and relationships
Generalise that the next counting number gives the result of adding one object to a set and that counting the number of objects in a set tells how many.
Create and continue sequential patterns.

### Statistics

Statistical investigation
Conduct investigations using the statistical enquiry cycle:
- gathering, sorting and counting, and displaying category data
- discussing the results.
Statistical literacy
Interpret statements made by others from statistical investigations and probability activities.

## Level 2

### Number and algebra

Number strategies
Use simple additive strategies with whole numbers and fractions.
Number knowledge
Know forward and backward counting sequences with whole numbers to at least 1000.
Know the basic addition and subtraction facts.
Know how many ones, tens, and hundreds are in whole numbers to at least 1000.
Know simple fractions in everyday use.
Equations and expressions
Communicate and interpret simple additive strategies, using words, diagrams (pictures), and symbols.
Patterns and relationships
Generalise that whole numbers can be partitioned in many ways.
Find rules for the next member in a sequential pattern.

### Statistics

Statistical investigation
Conduct investigations using the statistical enquiry cycle:
- gathering, sorting, and displaying category and whole-number data
- communicating findings based on the data.
Statistical literacy
Compare statements with the features of simple data displays from statistical investigations or probability activities undertaken by others.

## Level 3

### Number and algebra

Number strategies
Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
Number knowledge
Know basic multiplication and division facts.
Know counting sequences for whole numbers.
Know how many tenths, tens, hundreds, and thousands are in whole numbers.
Know fractions and percentages in everyday use.
Equations and expressions
Record and interpret additive and simple multiplicative strategies, using, words, diagrams, and symbols, with an understanding of equality.
Patterns and relationships
Generalise the properties of addition and subtraction with whole numbers.

### Statistics

Statistical investigation
Conduct investigations using the statistical enquiry cycle:
- gathering, sorting, and displaying multivariate category and whole-number data and simple time-series data to answer questions
- identifying patterns and trends in context, within and between data sets
- communicating findings, using data displays.
Statistical literacy
Evaluate the effectiveness of different displays in representing the findings of a statistical investigation or probability activity undertaken by others.

## Level 4

### Number and algebra

Number strategies and knowledge
Use a range of multiplicative strategies when operating on whole numbers.
Understand addition and subtraction of fractions, decimals, and integers.
Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
Apply simple linear proportions, including ordering fractions.
Equations and expressions
Form and solve simple linear equations.
Patterns and relationships
Generalise properties of multiplication and division with whole numbers.
Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.

### Statistics

Statistical investigation
Plan and conduct investigations using the statistical enquiry cycle:
- determining appropriate variables and data collection methods
- gathering, sorting, and displaying multivariate category, measurement, and time-series data to detect patterns, variations, relationships, and trends
- comparing distributions visually
- communicating findings, using appropriate displays.
Statistical literacy
Evaluate statements made by others about the findings of statistical investigations and probability activities.

## Level 5

### Number and algebra

Number strategies and knowledge
Use prime numbers, common factors and multiples, and powers (including square roots).
Understand operations on fractions, decimals, percentages, and integers.
Patterns and relationships
Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.

### Statistics

Statistical investigation
Plan and conduct surveys and experiments using the statistical enquiry cycle:
- determining appropriate variables and measures
- considering sources of variation
- gathering and cleaning data
- using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets
- comparing sample distributions visually, using measures of centre, spread, and proportion
Statistical literacy
Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings.

## Level 6

### Number and algebra

Patterns and relationships
Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns.
Relate rate of change to the gradient of a graph.

### Statistics

Statistical investigation
Plan and conduct investigations using the statistical enquiry cycle:
- justifying the variables and measures used
- managing sources of variation, including through the use of random sampling
- identifying and communicating features in context (trends, relationships between variables, and differences within and between distributions), using multiple displays
- making informal inferences about populations from sample data
- justifying findings, using displays and measures.
Statistical literacy
Evaluate statistical reports in the media by relating the displays, statistics, processes, and probabilities used to the claims made.