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.

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

Ordering fractions in different ways

Maths

Checking and securing understanding of fractions

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 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)

True or false? A proper fraction has a numerator which is greater than its denominator.

$$\frac{101}{120}$$ and $$\frac{103}{240}$$

In which of the following would it be easier to compare the numerators?

The {{ }} the denominator, the smaller the parts.

$$\frac{11}{22}\ \square \ \frac{11}{20} $$

$$\frac{17}{6}\ \square \ \frac{17}{9} $$

$$\frac{5}{1917}\ \square \ \frac{5}{1916} $$

$$\frac{987}{988}\ \square \ \frac{987}{998} $$

Which statements need the symbol > inserted to make them true?

Write the following in order from smallest to largest.

Jun as he only got one question wrong from a greater number of questions

Laura as she only got one question wrong from a smaller number of questions

Neither as they are both one question away from getting it all correct.

Jun completes a 20 question maths quiz and gets 19 correct. Laura completes a 19 question maths quiz and gets 18 correct. Who did better and why?

Order the steps to show that $$\frac{12}{20}$$ is not equivalent to $$\frac{48}{100}$$

True or false? $$\frac{2}{3} = \frac{34}{48}$$

Select the correct symbol to make the statement true. $$\frac{5}{8}\ \square \ \frac{11}{16} $$

Select the correct symbol to make the statement true. $$\frac{6}{5}\ \square \ \frac{108}{90} $$

Select the correct symbol to make the statement true. $$\frac{9}{12}\ \square \ \frac{10}{16} $$

Ordering fractions in different ways

Lesson outcome