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Late level 3 plan (term 3)

Planning notes

This plan is a starting point for planning a mathematics and statistics teaching programme for a term. The resources listed cover about 50% of your teaching time. Further resources need to be added to meet the specific learning needs of your class, to support your local curriculum and to provide sufficient teaching for a full term.

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Fraction Benchmarks

Level Three
Number and Algebra
Units of Work
In this unit students develop important reference points or benchmarks for zero, one half and one. They use these benchmarks to help compare the relative sizes of fractions, through estimating, ordering and placing fractions on a number line.
  • State which of two fractions is larger.
  • Explain why a fraction is close to 0, 1/2 or 1.
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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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Building patterns

Level Three
Number and Algebra
In this unit students work with growing patterns made from square tiles. Students represent the relationships between pattern number and number of tiles using tables, graphs and rules, in order to predict further terms of the pattern.
  • Continue a linear growth pattern from a few examples.
  • Find the recursive rule of a linear growth pattern from a table of values.
  • Explain why the graph of relationships in the pattern is linear.
  • Use the table and recursive rule, and/or the graph to make predictions about other terms of the pattern.
  • Attem...
https://nzmaths.co.nz/node/434
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Making benchmarks: Volume

Level Three
Geometry and Measurement
Units of Work
In this unit we will explore the idea of having benchmarks of 1 litre and ½ litre or 500 millilitres, to aid in estimating the volume of given objects.
  • Use objects of 1 litre volume/capacity to estimate the volume or capacity of other objects.
  • Understand the need for standard measures of volume and capacity.
  • Make sensible estimates about the volume and capacity of given objects.
  • Carry out conversions between standard measures of volume and capacity...
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Morning tea volumes

Level Three
Geometry and Measurement
Units of Work
In this unit students build on previous experiences with litres and millilitres. Work is carried out in the context of planning a morning tea with students measuring volumes accurately as part of the planning process.
  • Estimate volume using litres and millilitres.
  • Accurately measure volume using litres and millilitres.
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Dividing fractions

Level Three
Number and Algebra
Units of Work
The purpose of this series of lessons is to develop understanding of the connection between division and fractions. In the unit both types of division, sharing and measurement, are explored to establish a need for fractions and to develop generalisations about division and fractions.
  • Apply the understanding that fractions can be quotients (i.e. the result of division), e.g. 3 ÷ 5 = 3/5.
  • Model and represent division problems with fractions that involve a measurement or sharing interpretation of division.
  • Write and solve division problems that involve fractions.
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