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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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Down on the farm

Level Four
Number and Algebra
Units of Work
The unit is designed as a simple introduction to systems of linear equations. Students solve problems in which they meet two constraints to find a single solution. Both constraints can be expressed as linear equations.
  • Identify and find values for variables in context.
  • Identify linear relationships in context.
  • Represent linear relationships using tables, graphs and simple linear equations.
  • Draw strip diagrams to represent linear equations and ratios.
  • Solve problems in which two or more conditions must be met.
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Solving linear equations 2

Level Five
Number and Algebra
Units of Work
This unit teaches students to identify linear relationships and solve linear equations in context.
  • Identify and find values for variables in context.
  • Identify linear relationships in context, including those with negative rates of change.
  • Represent linear relationships using tables, graphs and simple linear equations.
  • Draw strip diagrams to represent linear equations, including those with negative...
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Solving linear equations

Level Four
Number and Algebra
Units of Work
This unit teaches students to identify linear relationships and solve linear equations in context.
  • Identify and find values for variables in context.
  • Identify linear relationships in context.
  • Represent linear relationships using tables, graphs and simple linear equations.
  • Draw strip diagrams to represent linear equations.
  • Solve simple linear equations and interpret the answers in context.
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Breakaway Bars

Level Three
Number and Algebra
Units of Work
This unit explores the relationships between fractions and decimals. A decimat model is used to explore how fractions arise from equal sharing and how the decimal place value system is a restricted form of equal sharing. The main objective is to link students’ knowledge of fractions with the decimal...
  • Represent common fractions as decimals and vice versa.
  • Relate decimals to decimat models that represent their size and composition.
  • Combine and partition decimal place values to flexibly add and subtract decimals.
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Cubic Conundrums

Level Four
Integrated
Units of Work
This unit provides a set of learning tasks that integrate across the strands of the Mathematics and Statistics learning area of the New Zealand Curriculum and provide opportunities for assessment of student achievement across those strands. Each session may involve more than one lesson, especially...

Session One
Use systematic approaches to find all the possible outcomes, e.g. tree diagrams, organised lists.

Session Two
Use tables, graphs, and word rules to represent growing patterns.

Session Three
Draw cube models using plan views.

Session Four
Draw cube models using isometric projections.

Session Five...

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Combos

Level Three
Integrated
Units of Work
This unit introduces students to combinations as a type of situation that multiplicative thinking can be applied to.
  • Use tree diagrams and two-way tables to find all the combinations for a simple pairing situation.
  • Use multiplication to count all the possible combinations (and permutations).
  • Use models of all the possible outcomes, and experimental results, to compare the chances of different outcomes.
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Fill it up - flat space

Level Three
Integrated
Units of Work
This integrated unit combines measurement of area with multiplication, and algebraic thinking.
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Place value people

Level Two
Number and Algebra
Units of Work
This unit supports students in developing an understanding of three-digit numbers and how to operate with them.
  • Represent three digit whole numbers using numerals, words and materials.
  • Count in ones, tens and hundreds from a given three digit number.
  • Find the difference between two three digit whole numbers.
  • Use place value units of hundreds and tens to make estimates of the number of people in a crowd.
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Place value to four digits

Level Two
Number and Algebra
Units of Work
This unit supports students in developing an understanding of four-digit numbers and how to operate with them.

Session One

  • Represent four digit numbers using Place Value People and as compact and expanded numerals.

Session Two

  • Apply place value to change a four digit number to a target number by addition or subtraction.

Sessions Three and Four

  • Rename four digit numbers in flexible ways.

Session Five

  • Know the number...
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Place value with two-digit numbers

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

  • Group a set of objects in tens to aid in counting the objects.

Session Two

  • Recognise how many tens and ones are in a given collection.
  • Read two-digit numbers used to represent quantities.

Session Three

  • Partition (break up) 100 into two numbers using tens and ones place value.

Session Four

  • Rename...