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Listed under:  Mathematics  >  Statistics and probability  >  Data representation  >  Number lines
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Number: Foundation to Year 9

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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Fruit fractions: Fruit kebab fun

In this lesson, we use fruit to explore common/decimal fractions relating to tenths. Students will use coloured Unifix cubes to represent tenths of a fraction on a ‘fruit kebab’. They will discover the idea of equivalent fractions and make connections using a fraction wall. The lesson uses interactive activities, discussions ...

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Hundreds and thousands

Students compare and order three-digit numbers using number lines.

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Number sequence: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Number sequence. Students extend their understanding of the order of numbers locating fractions as numbers along a number line and counting by fractions.

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Fruit fractions: Fruit salad crafty creations

Students demonstrate knowledge of fractions through creating their very own simulated ‘fruit salad’. Pose the questions: if you were to create a fruit salad what would it have in there? In what ratios/proportions? Are there any fruits you wouldn’t want in there? Which fruits go/don’t go together? Showcase your understanding ...

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First steps in mathematics: Number – Book 1

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

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Number sequence: Year 2 – planning tool

This planning resource for Year 2 is for the topic of Number sequence. Students extend and deepen their knowledge of the number system. They work toward recognising, representing and ordering numbers from 0 up to at least 1,000.

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Number sequence: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Number sequence. Students extend their understanding of equivalence of fraction with visual representations such as a number line that extends beyond zero; concrete materials; and common multiples and fraction walls. Students learn to work with equivalence and explore ...

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Number sequence: Year 1 – planning tool

This planning resource for Year 1 is for the topic of Number sequence. Students work towards being able to recognise, represent and order numbers up to 120. They use partitioning and various counting processes to make sense of and represent numbers in different ways.

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Number sequence: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Number sequence. Students use horizontal and vertical number lines to find solutions to everyday problems involving locating and ordering integers around zero; for example, elevators above and below sea level. They explore integers in financial contexts, such as the ...

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Ups and downs

Students position positive and negative whole numbers on a number line.

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Left overs

Students investigate the relative position of numbers by modelling fractional numbers between whole numbers. They represent linear models of fractions along number lines and use these models to count and solve simple fraction addition problems.

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Mathletes in motion

In this lesson, students use mathematical modelling in measurement (comparing and evaluating sports results) to explain equivalence between fractions, decimals and percentages, and represent rational numbers on a number line.

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Walking the rope

Students develop an understanding of the proportion and relationships between fractions. They represent fractions using linear models and symbols and form a generalisation about fractions equivalent to one whole.

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Practical numbers: Part 1

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

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Practical numbers: Part 2

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

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Number sequence: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Number sequence. Students compare and order fractions and mixed numbers with the same and related denominators and demonstrate their understanding of the values of fractions on a number line.

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reSolve: Place Value Cards

This sequence of two lessons explores the multiplicative place value properties of numbers. Students learn to represent numbers up to 1000 as multiples of 100s, 10s and 1s. Students skip count according to random arrangements of place value cards and explore whether the order of the cards affects the totals. They then use ...

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reSolve: Authentic Problems: Target Ball

This sequence of four lessons explores the relationship between an informal unit of measure and what is being measured using the context of designing a game of 'Target Ball'. Students work in groups to collect data on how far their chose ball rolls, using a cut-out foot as an informal unit of measure. They represent and ...

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reSolve: Place Value: Number Sorting

This sequence of two lessons explores sorting numbers and place value. In the first lesson students identify the value of digits in a number and also build correct terminology to sort and describe 1-digit, 2-digit and 3-digit numbers. In the second lesson, students are challenged to use Venn diagrams to sort and describe ...