2016 regional benchmarks:

2016 regional benchmark for numeracy

PACIFIC DEFINITION OF NUMERACY:

Knowledge and skills necessary to empower a person to to be able to use mathematical processes, as well as the language of mathematics, for a variety of purposes, with respect to everyday life.

A numerate person is empowered to:

  • develop strong number sense through application of knowledge, skills, concepts and processes;
  • communicate using the language of mathematics to share information and ideas;
  • make connections within and outside of mathematics contexts;
  • solve problems by employing creative, strategic and critical thinking to reason mathematically and justify findings; and
  • apply knowledge to investigate, interpret, explain and make sense of the world in which they live.

The numeracy status of a person between the ages of 6 to 14 years will be determined nationally and regionally (if necessary) by referencing his/her numeracy skills to the benchmarks indicators outlined below.

However a person is considered numerate if he/she has completed four years of formal education and has met the numeracy benchmark outlined for Year 4.

Numbers strand benchmarks

Year 2
  • Recognise and represent groups of objects with numbers and symbols.
  • Identify and interpret patterns, numbers sequences and relationships.
  • Recognise the face value of money in the local currency.
Year 4
  • Recognise, represent and compare quantities.
  • Use place value to show an understanding of the number system.
  • Interpret number sequences using simple rules to solve problems.
  • Understand equivalence between fractions. 
Year 6
  • Demonstrate understanding of numbers and their magnitude, properties and relationships.
  • Interpret relationships and properties of number sequences and fractions expressed in different forms.
Year 8
  • Apply and use rational numbers and relationships between them in real life situations.
  • Identify and demonstrate understanding of number sequences and number patterns to solve problems set in a range of different contexts.

Operations strand benchmarks

Year 2
  • Recognise and apply basic arithmetic operations by using a range of countring, grouping and equal sharing strategies with whole numbers.
Year 4
  • Use various representation and demonstrate mathematical skills to solve problems involving arithmetic operations. 
Year 6
  • Demonstrate mathematical skills in linking varioius arithmetic operations to solve problems set in a range of familiar situations. 
Year 8
  • Apply and express mathematical skills in solving problems involving arithmetic operations using a range of strategies.

Measurement & geometry strand benchmarks

Year 2
  • Use mathematical language to represent a range of measurable quantities.
  • Use spatial knowledge and skills to describe and compare physical attributes of common and familiar objects in real life situations.
Year 4
  • Develop awareness of different measurable quantities, units of measure and conversion between them, and measurement tools. 
  • Show spatial and geometric skills by measuring and calculating with physical attributes of common objects and events, and by comparing and working with properties of shapes and figures.
Year 6
  • Develop and use patterns and rules to facilitate calculations with measurable quantities.
  • Work with properties of geometric figures and objects.
Year 8
  • Use formulae to represent measurable properties of shapes and figures and relationships between those properties and to perform calculations.

Data strand benchmarks

Year 2
  • Collect, classify and represent sets of familiar objects in different ways and interpret the results through discussion.
Year 4
  • Collect, organise, represent and interpret data in various ways. 
Year 6
  • Collect and represent data in tables and graphs.
  • Interpret and analyse results.
  • Recognise and use mathematical language related to common and familiar chance events. 
Year 8
  • Calculate and use different measures of central tendency and dispersion for a dataset.
  • Represent and interpret variation in data to analyse and make inferences about information represented.
  • Calculate probability of events from simple experiments and make inferences.