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Mathematics

The Key Ideas of Whole Number Place Value

During the planning of our maths lesson at Holy Rosary we consider the overarching ideas of place value through the exploration of estimation, benchmarks, visualisation, equality and equivalence, language and strategy.

The specific key ideas when understanding place value are: 

 

Quantity

The quantity is an amount of something which is determined using a number and a unit.

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Number triad

A number triad represents the relationship between words, symbols and materials or diagrams of a quantity.

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Digit position

The place of a digit in a number determines its value.

There are three ways to interpret a single digit within a whole number: face value, place value, and total value.

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Zero can be a placeholder and a digit representing a quantity.

 

 Base-10 system

The base-10 system is a number system that is based on grouping and equally partitioning quantities by tens.

Each place has a value that is 10 times greater than t place to ots right, and one-tenth of the value of the place to uts left.

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Place-value partitioning 

Place value partitioning is breaking a whole number into its place value units.

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Comparison

The relative size of two quantities can be compared either to each or a benchmark.

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Sarah, Mathematics Leader