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.

Converting fractions with technology

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

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)

Using a calculator, calculate the simplified fraction of $$96 \over 90$$.

Using a calculator, work out the answer to $${16 \over 15} \times 315$$.

Sam's calculator gives an answer as a fraction. What is the name of the key that should be pressed first on the Casio fx-991CW in order to convert this fraction to a decimal?

Using a calculator, match the decimal to the equivalent fraction.

The format key on the Casio fx-991CW only allows you to change a decimal to an improper fraction.

Using your calculator, find the answer to $${4 \over 19} \times {26 \over 62}$$

Complete the statement. A factor is a {{ }} which exactly divides another {{ }}.

Select all the fractions that simplify to $$5 \over 8$$.

Which of the following factors of 48 and 180 is the best choice to efficiently simplify $$48\over180$$?

$$\frac{2^2 \times 3^2 \times 5}{2^2 \times 5^2 \times 7}$$

$$\frac{2^3 \times 3^2 \times 5}{2^2 \times 5 \times 7}$$

$$\frac{2^3 \times 3^2 \times 5^2}{2^2 \times 5^2 \times 7^2}$$

$$\frac{2^3 \times 3^2 \times 5}{2^2 \times 5^2 \times 7}$$

$$\frac{2^3 \times 3^3 \times 5}{2^2 \times 3 \times 5^2 \times 7}$$

Which of these fractions is equivalent to $$1080 \over 2100$$

Match each fraction to its simplified equivalent fraction.

Converting fractions with technology

Lesson outcome