Comparing and ordering fractions and decimals (positive and negative)

I can represent fractions as numbers.

I can use the fact that 1 can be written in the form n/n and vice versa.

I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from improper fractions to mixed numbers.

I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from mixed numbers to improper fractions.

I can divide the numerator of a fraction by its denominator and know that this results in an equivalent terminating decimal.

I can divide the numerator of a fraction by its denominator and know that this results in an equivalent recurring decimal.

I can appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10^n

I can simplify fractions by dividing both the numerator and denominator by common factors and know why this works.

I can convert from fractions to decimals and back again using the converter key on a calculator.

I can enter fractions as divisions on a calculator (and other technology) and understand the limitations of the decimal representation that results.

I can compare negative integers using < and >.

I can compare decimals using < and >.

I can compare and order fractions by converting to decimals.

I can compare and order fractions by converting to fractions with a common denominator.

I can compare and order fractions using a range of techniques.

I can 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.

I can appreciate that, for any two numbers, there is always another number in between them.

I can use my knowledge of fractions and decimals to solve problems.