## Core Concept 1.3

## Ordering and comparing

1.3.1.1 Understand that 1 can be written in the form n/n (where n is any integer) and vice versa

1.3.1.2 Understand that fractions of the form a/b where a > b are greater than 1 and use this awareness to convert between improper fractions and mixed numbers

1.3.1.3 Understand that a fraction represents a division and that performing that division results in an equivalent decimal

1.3.1.4 Appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10n (e.g. 0.56 = 56/100, 560/1000, etc.)

1.3.1.5* Understand the process of simplifying fractions through dividing both numerator and denominator by common factors

1.3.1.6 Know how to convert from fractions to decimals and back again using the converter key on a calculator

1.3.1.7 Know how to enter fractions as divisions on a calculator and understand the limitations of the decimal representation that results

1.3.1.3 Understand that a fraction represents a division and that performing that division results in an equivalent decimal

●Understand that fraction notation represents both a division and the result of that division

●Use that understanding to write a fraction as an equivalent decimal

1.3.1.5 Understand the process of simplifying fractions through dividing both numerator and denominator by common factors

●Understand how the numerator and the denominator are linked in a family of equivalent fractions.

●Recognise fractions in their simplest form.

●Find a common factor and convert a fraction to its simplest form.

●Connect fractions with division and appreciate that the concept of equivalent fractions can be used to generate equivalent divisions.

1.3.2.1 Compare negative integers using < and >

1.3.2.2 Compare decimals using < and >

1.3.2.3 Compare and order fractions by converting to decimals

1.3.2.4 Compare and order fractions by converting to fractions with a common denominator

1.3.2.5 Order a variety of positive and negative fractions and decimals using appropriate methods of conversion and recognising when conversion to a common format is not required

1.3.2.6 Appreciate that, for any two numbers there is always another number in between them

1.3.3.1* Be able to write any integer in a range of forms, e.g. 53 = 5.3 × 10, 530 × 1/10, 5300 × 0.01, etc.

1.3.3.2 Understand that very large numbers can be written in the form a × 10n, (where 1 < a ≤ 10) and appreciate the real-life contexts where this format is usefully used

1.3.3.3 Understand that very small numbers can be written in the form a × 10−n, (where 1 < a ≤ 10) and appreciate the real-life contexts where this format is usefully used

1.3.3.1 Be able to write any integer in a range of forms, e.g. 53 = 5.3 × 10, 530 × 1/10, 5 300 × 0.01

●Understand that a × b = (a ÷ n) × (b × n).

●Understand and be able to use the index notation for powers of ten.

●Use alternative ways of expressing powers of ten.

Change the place value chart and Gettegno chart to standard index form.

See counters for more examples