8. Fractions

Lesson

Let's review how we name fractions using the parts and the whole.

Here is a fraction bar.

Complete the statements below.

a

This fraction bar has ⬚ equal parts.

Worked Solution

b

Each part is \dfrac{⬚}{⬚} of the whole.

Worked Solution

Idea summary

When writing fractions:

The number of equal parts the whole is divided into is the

**denominator**(bottom number).The

**numerator**(top number) is how many shaded parts.

This video looks at two special fractions and how they are related, tenths and hundredths.

What fraction is shown here?

Worked Solution

Idea summary

A fraction from an area model is written as: \dfrac{\text{Number of shaded parts}}{\text{Total number of parts}}

This video shows how to compare numbers that are in tenths or hundredths.

Use the greater than (\gt) or less than (\lt) symbol to complete the following:

\dfrac{6}{10}\,⬚\,\dfrac{51}{100}

Worked Solution

Idea summary

Tenths and hundredths can both be used to represent the same value.

1 tenth is the same as 10 hundredths. Remembering this helps us find equivalent fractions.

This video looks at how to apply the concept of patterns to sequences involving fractions.

Create a pattern by adding \dfrac{1}{10} each time.

\dfrac{4}{10}, \,⬚, \, ⬚, \,⬚, \,⬚, \,⬚

Worked Solution

Idea summary

We can create patterns with fractions by adding or subtracting the same fraction each time.

represents, models and compares commonly used fractions and decimals