Mathematics – Multi-age – Year A – Unit 15

This two-week unit develops student knowledge, understanding and skills of rational numbers and fractions.

Mathematics K-2 Syllabus © 2022 NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales.

Students are provided opportunities to:

  • explore that a fraction, such as one half, can mean half of a collection, half of an object or half of a measure
  • understand that a fraction is a number
  • investigate that when a whole is cut or partitioned into equal parts, the number of parts increases but the size of each part is smaller (decreases)
  • develop an understanding that a fraction which describes two equal partitions of a whole, and four equal partitions of a whole, have a name, half and quarter
  • demonstrate that there is more than one way to create a half of a collection, an object, or a measure
  • recognise that not all partitions of a whole will result in equal shares, but instead have leftovers or a remainder which sometimes can be partitioned further
  • apply knowledge of equal partitioning to solve problems with remainders.
Representing whole numbers – MAO-WM-01, MAE-RWN-01, MA1-RWN-01, MAE-RWN-02, MA1-RWN-02
  • Use the counting sequence of ones flexibly
  • Recognise number patterns
  • Connect counting and numerals to quantities
Combining and separating quantities – MAO-WM-01, MAE-CSQ-01, MAE-CSQ-02, MA1-CSQ-01
  • Model additive relations and compare quantities
  • Identify part–whole relationships in numbers up to 10
Combining and separating quantities – MAO-WM-01, MAE-CSQ-01, MA1-CSQ-01, MAE-CSQ-02
  • Identify part–whole relationships in numbers up to 10
Forming groups – MAO-WM-01, MAE-FG-01, MA1-FG-01, MAE-FG-02
  • Copy, continue and create patterns
  • Investigate and form equal groups by sharing
  • Record grouping and sharing
Geometric measure – MAO-WM-01, MAE-GM-02, MA1-GM-02, MAE-GM-03, MA1-GM-03
  • Create half a length
Representing whole numbers A:
  • Use counting sequences of ones with two-digit numbers and beyond
  • Continue and create number patterns
  • Represent numbers on a line
  • Represent the structure of groups of ten in whole numbers
Representing whole numbers B:
  • Use counting sequences of ones and tens flexibly
Combining and separating quantities A:
  • Recognise and recall number bonds up to ten
Forming groups A:
  • Count in multiples using rhythmic and skip counting
  • Recognise and represent division
Forming groups B:
  • Model doubling and halving with fractions
Geometric measure A:
  • Length: Compare lengths using uniform informal units
  • Length: Subdivide lengths to find halves and quarters
Geometric measure B:
  • Length: Repeatedly halve lengths to form eighths
  • Length: Recognise and use formal units to measure the lengths of objects
Two-dimensional spatial structure A:
  • 2D shapes: Recognise and classify shapes using obvious features
  • Area: Measure areas using uniform informal units

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