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Level Three: Number and Algebra

New Zealand Curriculum Level 3

In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:

National Standards

In contexts that require them to solve problems or model situations, students will be able to:

Year 5

Year 6

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
  • connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.
  • 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.
  • 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 and graphs
    - rules that involve spatial features, repeated addition or subtraction, and simple multiplication.
 
Elaborations on level three Number and Algebra achievement objectives. National Standard Illustrations:
Breakdown of Waste
National Standard Illustrations:
Breakdown of Waste
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