Welcome to the Number area of the nzmaths website.

This component of the nzmaths website provides you with units of work and activities to support your teaching of the Number and Algebra Strand of Mathematics Curriculum. 

The goal of all our units and activities, both here and in the other strands, is to produce students who are able to think mathematically and are confident and comfortable with the mathematics they are using. Throughout these units, and those in Geometry, Measurement, Algebra and Statistics, a problem solving approach to the teaching has been adopted.

We have sorted our units into two “threads” of the number strand:

  1. Number Strategies

    Operating with Numbers is about the strategies that students use to solve number problems.  We have written these as mini-units in the sense that they are designed for a single week. We imagine that as a teacher you might want to combine 2 or 3 of our mini-units to form a substantial unit of number. The structure of the units can be found under Unit Structure.

  2. Number Knowledge

    Number Facts includes the basic addition and multiplication facts or “tables”.  It also includes facts or knowledge about the sequence of numbers, the identification of numerals and the place value nature of our number system.  We have presented the material for Number Knowledge as activities rather than units of work.  Most of the activities are designed to take about 10 minutes and we imagine would be useful as maintenance activities for the whole class or groups of students.  Alternatively the Number Knowledge activities may form the focus of a small group teaching session.

Each of the units and activities are linked to the Levels and Achievement Objectives of the Mathematics Curriculum.  They are also linked to a single learning sequence, which describes a progression from counting-by-one strategies to strategies that use proportional thinking.  This learning sequence is discussed in depth in the Information section.

For more information on the progression of mathematical learning in the Number strand you may want to try the Number Knowledge Curriculum Exemplar or the Number Strategy Curriculum Exemplar.

We would like to thank the following people for their help with the number units and activities: Sarah Vokes, Joanna Higgins, Vince Wright and Peter Hughes.