The expression in a fraction that is written above the fraction line. It is the dividend.

The expression in a fraction that is written below the fraction line. It is the divisor.

Checking and securing understanding of fractions

Maths

The identity property of multiplication and division

Checking and securing converting improper fractions to mixed numbers

Checking and securing converting mixed numbers to improper fractions

Converting fractions to terminating decimals

Converting fractions to recurring decimals

Converting terminating decimals to fractions

Simplifying fractions

Converting fractions with technology

Limitations of technology in calculations

Ordering negative integers

Ordering decimals

Ordering fractions by converting

Ordering fractions by way of a common denominator

Ordering fractions in different ways

Ordering positive and negative fractions and decimals

Between numbers

Problem solving with fractions and decimals

In this unit, pupils have explored the structure of fractions and their relationship with decimals and integers. This is built on in the future unit where pupils deepen their understanding of the arithmetic procedures involving fractions and integers.

In this unit, pupils will be asked to compare and order both fractions and decimals and will assess when conversion is required. Fluency in working with decimals and integers is an important skill which is developed in the prior unit.

This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.

Comparing and ordering fractions and decimals (positive and negative)

Two fractions are equivalent if they have the same value

A proper fraction is a fraction where the numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.

A terminating decimal is one that has a finite number of digits after the decimal point.

A recurring decimal is one that has an infinite number of digits after the decimal point.

A factor is a term which exactly divides another term.

The highest common factor is the common factor which can be divided by all other possible common factors.

Expressing a number as a product of primes means writing it uniquely as a product of its factors that are prime numbers.

A recurring decimal is one that has an infinite number of digits after the decimal point

The absolute value of a number is its distance from zero.

The value of a digit in a number based on where it is placed is known as place value.

A number is in decimal form when the decimal point is shown and there are digits to the right of the decimal point.

The lowest common multiple is the lowest number that is a multiple of two or more numbers.

A denominator is the expression in a fraction that is written below the fraction line. It is the divisor.

A numerator is the expression in a fraction that is written above the fraction line. It is the dividend.

Two fractions are equivalent if they have the same value.

Proportion is a part to whole (sometimes part to part) comparison.

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Comparing and ordering fractions and decimals (positive and negative)

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