The NZ Curriculum Number & Algebra Standards
AFTER ONE YEAR AT SCHOOL
Students will be achieving at early level 1 of the New Zealand Curriculum and be able to:
- apply counting-all strategies
- continue sequential patterns and number patterns based on ones
AFTER TWO YEARS AT SCHOOL
Students will be achieving at level 1 of the New Zealand Curriculum and be able to:
- apply counting-on, counting back, skip-counting, and simple grouping strategies to combine or partition whole numbers
- use equal sharing and symmetry to find fractions of sets, shapes, and quantities
- create and continue sequential patterns by identifying the unit of repeat
- continue number patterns based on ones, twos, fives, and tens
AFTER THREE YEARS AT SCHOOL
Students will be achieving at early level 2 of the New Zealand Curriculum and be able to:
- apply basic addition facts and knowledge of place value and symmetry to:
* combine or partition whole numbers
* find fractions of sets, shapes, and quantities
- create and continue sequential patterns with one or two variables by identifying the unit of repeat
- continue spatial patterns and number patterns based on simple addition or subtraction
BY THE END OF YEAR 4
Students will be achieving at level 2 of the New Zealand Curriculum and be able to:
- apply basic addition and subtraction facts, simple multiplication facts, and knowledge of place value and symmetry to:
* combine or partition whole numbers
* find fractions of sets, shapes, and quantities
- create, continue, and give the rule for sequential patterns with two variables
- create and continue spatial patterns and number patterns based on repeated addition or subtraction
BY THE END OF YEAR 5
Students will be achieving at early level 3 of the New Zealand Curriculum and be able to:
- apply additive and simple multiplicative strategies and knowledge of symmetry to:
* combine or partition whole numbers
* find fractions of sets, shapes, and quantities
- create, continue, and predict further members of sequential patterns with two variables
- describe spatial and number patterns, using rules that involve spatial features, repeated addition or subtraction, and simple multiplication
BY THE END OF YEAR 6
Students will be achieving at level 3 of the New Zealand Curriculum and be able to:
- apply additive and simple multiplicative strategies flexibly to:
* combine or partition whole numbers, including performing mixed operations and using addition and subtraction as inverse operations
* find fractions of sets, shapes, and quantities
- determine members of sequential patterns, given their ordinal positions
- describe spatial and number patterns, using:
* tables & graphs
* rules that involve spatial features, repeated addition or subtraction, and simple multiplication
BY THE END OF YEAR 7
Students will be achieving at early level 4 of the New Zealand Curriculum and be able to:
- apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)
- apply additive strategies to decimals
- balance positive and negative amounts
- find and represent relationships in spatial and number patterns, using:
* tables and graphs
* general rules for linear relationships
BY THE END OF YEAR 8
Students will be achieving at level 4 of the New Zealand Curriculum and be able to:
- apply multiplicative strategies fl exibly to whole numbers, ratios, and equivalent fractions (including decimals and percentages)
- use multiplication and division as inverse operations on whole numbers
- apply additive strategies flexibly todecimals and integers
- find and represent relationships in spatial and number patterns, using:
* tables and graphs
* equations for linear relationships
* recursive rules for non-linear relationships