**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 10^{n} (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 × 10^{n}, (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