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Level Four: Number and Algebra

New Zealand Curriculum Level 4

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 7

Year 8

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 fraction
  • know the equivalent decimal and percentage forms for everyday fractions
  • know the relative size and place value structure of positive and negative integers and decimals to three places
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.
  • 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.
  • apply multiplicative strategies flexibly 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 to decimals 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
  • apply inverse operations to simple linear relationships.
 
Elaborations on level four Number and Algebra achievement objectives. National Standard Illustrations:
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