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Units of Work

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Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
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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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Getting partial to decimals

Level Four
Number and Algebra
Units of Work
This unit supports students to understand the place value structure of decimals and to carry out addition and subtraction with decimal numbers to three places.
  • Understand that decimals are a kind of fraction.
  • Add and subtract decimals to three decimal places.
  • Find decimal values for fractions through practical modelling.
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Getting partial to fractions

Level Four
Number and Algebra
Units of Work
In this unit students partition a length model into equal parts, to create unit fractions. Students form non-unit fractions (e.g. 3/4 and 7/8) and develop strategies to find different names for the same fraction (equivalent fractions). Fractions are added and compared to find the difference and a...
  • Find equivalent fractions.
  • Compare the size of fractions to order them.
  • Find the difference between two fractions by subtraction.
  • Add fractions.
  • Find a fraction of a whole number amount.
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Dare to compare

Level Three
Number and Algebra
Units of Work
This unit encourages students to compare quantities both additively and multiplicatively.
  • Describe multiplicative comparison between two quantities using appropriate language, such as, “three times more/greater/bigger”, “three times less/smaller.”
  • Record multiplicative comparisons using equations, such as, 4 x 3 = 12 (for 12 is four times greater than three).
  • Find the unknown scalar...
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Eggs and a little bacon

Level Three
Number and Algebra
Units of Work
This unit explores situations that involve multiplication and division using an equal sets model. Students learn to apply the properties of whole numbers under multiplication, to derive new answers from basic facts, and apply inverse operations to division.
  • Derive from basic multiplication facts to solve multiplication problems with equal sets.
  • Apply the commutative and distributive properties of multiplication to solve problems mentally and on paper.
  • Recognise how both measurement and sharing division problems can be solved by ‘building up’ with...
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Quadratics in context

Level Five
Number and Algebra
Units of Work
In this unit procedural fluency and conceptual understanding are developed together. Students will represent quadratic relationships, particularly using graphs and equations, and will use quadratic functions to model phenomena such as paths of projectiles, stopping distances and profits. In turn...
  • 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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All about us

Level One
Integrated
Units of Work
This unit provides you with a range of opportunities to assess the entry level of achievement of your students.
  • Use groupings to efficiently count the number of objects in a set.
  • Create picture graphs about category data and discuss patterns in the data.
  • Create and follow instructions to make a model made with shapes.
  • Order a set of objects by mass (weight).
  • Create a sequential pattern and predict further members...
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Mathematical magic

Level Two
Integrated
Units of Work
This unit provides you with a range of opportunities to assess the entry level of achievement of your students.
  • Classify whole numbers as even or odd and generalise the nature of sums when even and odd numbers are added.
  • Recognise that sums remain the same if the same amount is added and subtracted to the two addends, e.g. 17 + 19 = 27 + 9.
  • Create and follow instructions to make a model made with shapes.
  • Recombi...
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In this year

Level Three
Integrated
Units of Work
This unit is designed to engage your class for at least the first week of the school year. It provides you, their teacher, with opportunities for you to learn about their current level of achievement.
  • Use multiplication to solve rate problems, especially about units of time.
  • Use and calculate with metric units for mass and standard units of time.
  • Use scales to estimate distances and times.
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Figure me out

Level Four
Integrated
Units of Work
This unit is designed to engage your class for at least the first week of the school year. It provides students an opportunity to work collaboratively and independently on challenging mathematical tasks. It also provides you, their teacher, with opportunities for you to learn about their current...
  • Find whether a given whole number is prime or non-prime (composite) and whether the number is a multiple of three.
  • Use exponents, square roots, factorials and place value to write expressions for whole numbers.
  • Represent category data using bar charts and interpret those charts.
  • Calculate common...
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Array for quadratics

Level Five
Number and Algebra
Units of Work
This unit uses linear and area spatial models to represent and solve linear and simple quadratic equations.
  • Represent algebraic expressions as array diagrams.
  • Solve for specific unknowns, either areas or side lengths, from array diagrams.
  • Expand quadratic expressions with the support of array diagrams.
  • Factorise quadratic expressions with the support of array diagrams.