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 One
Number and Algebra
Units of Work
This unit develops students’ understanding of, and proficiency in, using five-based grouping.
  • Identify five-based groupings.
  • Represent five-based groupings in a variety of ways.
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Level One
Number and Algebra
Units of Work
This unit develops students’ understanding of, and proficiency in, counting one-to-one.
  • Understand that the number of objects in a set stays the same as changes are made to spatial layout, size, or colour.
  • Understand that the count of a collection of objects can be trusted and worked from as objects are added or taken away, or the set is rearranged into parts.
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Level Four
Statistics
Units of Work
This unit involves students using existing data and data displays to investigate areas of interest in relation to gender, education, employment, and income (or other topics of interest), before presenting their findings.
  • Identify an area of interest to investigate.
  • Find data displays including graphs, tables, and non-traditional data representations, that can inform the investigation e.g. from websites and other sources.
  • Explore the information behind the data displays to make sense of the data and use it to explore...
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Level Three
Number and Algebra
Units of Work
This unit explores situations that involve multiplication and division using equal sets and rates. Students learn to apply the properties of whole numbers under multiplication, to derive new answers for basic multiplication and division facts.
  • Derive from basic multiplication facts to solve multiplication problems with equal sets and rates.
  • Identify the factors and products in equations and explain the meaning of x and =.
  • Apply multiplication to find the answers to division problems.
  • Learn the basic multiplication facts.
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Level Three
Number and Algebra
Units of Work
This unit explores situations that involve addition and subtraction of whole numbers. Students are expected to choose among a range of strategies, based on their understanding of place value.
  • Choose appropriate strategies such as using standard place value, using tidy numbers with compensation, and equal adjustments when solving addition and subtraction problems with whole numbers.
  • Choose correct operations to solve joining, separating, and difference problems with whole numbers.
  • Record...
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Level Four
Geometry and Measurement
Units of Work
This unit develops students’ ability to represent three dimensional objects using two dimensional representations.
  • Use plans from different viewpoints to represent 3D objects.
  • Draw isometric drawings of 3D objects.
  • Create nets for polyhedra.
  • Interpret the above representations to create a model of the 3D object.
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Level Four
Statistics
Units of Work
The unit looks at, analyses, and extends, a game of chance in which three coins are tossed. A player wins if two heads and a tail come up.
  • Calculate the theoretical probability of an event by finding all the possible outcomes.
  • Use more than one way to find a theoretical probability.
  • Check theoretical probabilities using trials.
  • Identify what a fair game is and how to make an unfair game fair.
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Level Four
Statistics
Units of Work
In this unit students investigate the link between experimental estimates of probability and theoretical probability. They also learn about short run variability and independence/dependence of events.
  • Explore the theoretical and experimental probabilities of situations involving chance
  • Recognise variability from theoretical expectations, especially with small numbers of trials
  • Estimate and find the relative frequencies of events
  • Distinguish between events and the outcomes that lead to those events
  • Di...
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Level Four
Geometry and Measurement
Units of Work
This unit is about finding the areas of triangles, and parallelograms, using what students already know about the areas of rectangle. Students will apply multiplication and division strategies as they calculate areas. The ideas are extended to finding the volumes of cuboids (rectangular prisms).
  • Recognise that two identical triangles can be partitioned and joined to make a rectangle.
  • Recognise that a triangle has half the area of a rectangle with the same base and height lengths.
  • Apply the rule ‘area of triangle equals half base times height’.
  • Connect the area of a parallelogram to the area of...
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Level Four
Number and Algebra
Units of Work
The purpose of this unit is to support students to represent number problems as equations, and to strategically choose the best operation to solve problems in context.
  • Understand that an unknown amount or number can be represented with a symbol: a question mark, a shape or a letter.
  • Recognise that to find the value of the missing number, you have to ‘undo’ what has been done to it.
  • Write word problems of real-life situations and express these with equations that...