Units of Work

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Teaching and learning activities for around five classroom mathematics sessions. Units include links to the NZC, specific learning outcomes, descriptions of sequenced teaching and learning activities, useful questions to use with students, a list of the resource materials required, and any copymasters needed.

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Level Five
Number and Algebra
Units of Work
In this unit students represent a quadratic relationship using spatial patterns, tables, graphs and equations. In doing this, they recognise the key features of a parabola, find unknowns from the graph of a parabola, and find unknowns from simple quadratic equations. Procedural fluency and...
  • Make a table of one variable against another to represent a quadratic relationship.
  • Represent a quadratic relationship between two variables in words and as an equation.
  • Represent a quadratic relationship as a parabola on the Cartesian Plane.
  • Recognise the key features of a parabola, including the...
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Level One
Number and Algebra
Units of Work
This unit supports students to count with both proficiency and conceptual understanding.
  • Understand that the number of objects in a set stays the same as changes are made to the following attributes of each object:
    • spatial layout
    • size
    • colour
  • Understand that the count of a collection of objects can be trusted and worked from as:
    • objects are added or taken away
    • the set is rearranged into parts
  • U...
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Level Three
Geometry and Measurement
Units of Work
In this unit students make and investigate a variety of polyhedra (3D objects) with a focus on making nets.
  • Construct models of polyhedra using structured or everyday materials.
  • Use the terms faces, edges and vertices to describe models of polyhedra.
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Level Four
Geometry and Measurement
Units of Work
In this unit students make and investigate various solids, including regular and semi-regular polyhedra, and cylinders and cones. They look for patterns in the numbers of faces, edges and vertices.
  • Construct models of polyhedra using construction materials, like geoshapes or polydrons.
  • Use the terms faces, edges and vertices to describe models of polyhedra and look for relationships between these features.
  • Anticipate the features of the solid created when a Platonic solid is truncated (its...
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Level Three
Geometry and Measurement
Units of Work
In this unit students use a digital programming platform, Scratch, to learn about polygons, and use the language of direction and distance.
  1. Create a programme in Scratch for a Sprite to walk out a shape or figure, including:
    • Correct numbers of steps
    • Correct angles
    • Use of repetition
    • Use of blocks
    • Use of variables and operators
  2. Read a programme in Scratch and work out the path that the Sprite will take
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Level Five
Number and Algebra
Units of Work
This unit supports students in developing procedural fluency with the multiplication and division of integers, and in developing conceptual understanding of how integers are used in the real world.
  • Understand everyday applications of integers.
  • Multiply and divide positive and negative integers.
  • Use models to explain why the multiplication of integers has a positive or negative effect.
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Level Four
Number and Algebra
Units of Work
This unit helps students to develop procedural fluency with integers and have conceptual understanding of integers in the real world.
  • Understand everyday application of integers.
  • Add and subtract positive and negative integers.
  • Use models to explain why subtraction of a negative integer has a positive effect.
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Level Four
Geometry and Measurement
Units of Work
This unit explores important ideas about reflective and rotational symmetry.
  • Recognise when one figure is a reflection of another using invariant properties such as perpendicular distance from the mirror line, equalities of lengths, areas and angles, and opposite orientation in relation to the mirror line.
  • Recognise the rotational symmetry of a figure, including identifying...
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Level Two
Number and Algebra
Units of Work
This unit supports students learning to understand the structure of two-digit numbers and how to operate with them.

Session One

  • Calculate the gains and losses in a game of Snakes and Ladders.

Session Two

  • Represent two digit numbers with play money.
  • Add and subtract two digit numbers.

Session Three

  • Use ‘up through ten’ and ‘back through ten strategies to add and subtract single digit numbers.

Session Four

  • Rename three...
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Level Four
Statistics
Units of Work
The purpose of this unit is to engage the student in carrying out the steps of a statistical investigation in a science context: predator control. Within this, students will develop their skills and knowledge related to statistical investigations, and interpret statistical and chance data.
  • Plan an investigation.
  • Use tables and graphs to display and analyse data.
  • Discuss features of data displays.