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Mathemateg

Fractions

 

What do we know about fractions?

 

LO to identify 1/3, 1/4, 1/2, 2/4, 3/4 and demonstrate that all parts must be equal parts of the whole.
LO to accurately place fractions and decimals on a number line.  
LO to recall and solve problems using equivalences between simple fractions,
LO to convert improper fractions to mixed numbers and vice versa. 
When we write a fraction, we often write three parts. The Numerator, the Fraction bar and the Denominator.

If I were to take a bar of chocolate, I could split that bar into five equal parts. These would be called fifths. Parts of a fraction are usually equal, and when pieced back together, they make a whole piece again. 

We can also do this with a packet of sweets. If I open a packet of sweets and share them out equally I could create a fraction of my whole packet.
For example, if I had 18 sweets, 1/2 of my packet would equal 9, or I could split my packet into 1/18.
 
Let's try!

 

Rules!
Do not eat your sweets until the end of the lesson.
Do not touch anyone else's sweets.
Have fun!
 
If your sweets represent a whole, how could you show part of the whole?

 

Let's make fractions!
Using the language Numerator and Denominator, what fractions could I make using my sweets?

 

Could I make fractions based on the colour of my Skittles?
 
Let's write down as many fractions as you can.

 

Could I add two colours together to find out the total fraction of those colours?

 

 

Comparing fractions

Skittles

Discuss in pairs 
  • Which colour takes up the largest fraction?
  • Which is the smallest?
  • Are any colours equal?
  • Create a number line with the smallest fraction to the biggest

 

A Fraction Wall can help us find equivalent fractions. For example, 1/2 is the same as 5/10. Why is that? 
What other fractions are equivalent?
Fraction Wall

 

Convert Fractions to Simplest Form

Using your Skittles fractions, can you simplify each fraction?
Example:

  • “Can you divide the numerator and denominator by the same number?”
  • “What is the simplest form of your fraction?”