Miss Crump’s Introduction to Fractions

When do you see fractions?

What do you know about fractions?

Fractions

1 2/10

1/12

1/8

1 ½

11/12

57/60

What is a fraction?

Loosely speaking, a fraction is a quantity that cannot be represented by a whole number.

Why do we need fractions?

Consider the following scenario.Can you finish the whole cake? If not, how many cakes did you eat?1 is not the answer, neither is 0.

This suggest that we need a new kind of number.

Definition:A fraction is an ordered pair of whole numbers, the 1st one is usually written on top of the other, such as ½ or ¾ .

The denominator tells us how many equal pieces the whole is divided into, thus this number cannot be 0.

The numerator tells us how many such pieces are being considered.

numerator

denominator

13

Examples:How much of a pizza do we have below?

The blue circle is our whole.- if we divide the whole into 8 equal pieces,- the denominator would be 8.

We can see that we have 7 of these pieces.Therefore the numerator is 7, and we have

of a pizza.

• we first need to know the size of the original pizza.

78

What fraction of the apples are on the tree?

5 8 apples on the tree

What fraction of the food is cheeseburgers?

What is a fraction wall?

Your task

Create your own fraction wall

Can you see any patterns in the fraction wall?

What does the term equivalent fraction mean?

Can you only find fractions of shapes?

How to build a successful How to build a successful Fraction WallFraction Wall

Each layer of the fraction wall should be a different colour Each layer of the fraction wall should be a different colour to the layer above and below (this will make it easier to find to the layer above and below (this will make it easier to find equivalent fractions).equivalent fractions).

You must make the fractions out of one whole – you You must make the fractions out of one whole – you should not have any of the paper leftshould not have any of the paper left

Make sure each fraction from the same family are the Make sure each fraction from the same family are the same size e.g. all the ¼ pieces should be equal. same size e.g. all the ¼ pieces should be equal. Think carefully about how to make the pieces equal (you Think carefully about how to make the pieces equal (you may need to fold or measure the strips)may need to fold or measure the strips)

What do the fraction walls show us?

Can you give me any examples of equivalent fractions?

Name one fraction that is the equivalent to a half?

How many quarters would I need to make one whole? What do you notice about the numerator and the denominator?

Please add any new facts to your notes that you made at the beginning of the lesson.

Draw a face to show me how you feel about fractions now