Friday, 13 April 2018

Maths: Finding the half way point

Hi all,




This week we went over how to calculate a point that lies exactly half way between two other given points. Here are some examples of the sorts of things we have been dealing with:




These questions have been causing some of us some problems...

Now I know it's a little more complex than what is half way between 1 and 3 for example, but none the less, we all have the necessary skills/ understanding to be able to break this problem apart.


Steps to success:
1) If the numbers are in different formats, e.g. fractions/ decimals or percentages/ fractions, then make them the same.

2) Find the difference.

3) Half the difference (remember though, with fractions, you cannot have a decimal numerator- if this is the case then you will have to switch from a fraction to a decimal or percentage instead).

4) Add half the difference to the number at the start of the number line.


 
The following image might help you to remember this:


Try the following... A, B and C:
 
 
CHALLENGE:
If you managed to find the half way mark, tell me:
  1. What point would lie 1/4 of the way across?
  2. What point would lie 3/4 of the way across?
  3. What point would lie 1/3 of the way across?
  4. What point would lie 2/3 of the way across?
  5. What other point along the line can you find?
If you find you're struggling with these, embrace it as a failure (see earlier blog post) and rather than shying away from it, come and see me next week- I will be holding extra sessions over break times on Monday, Tuesday and Thursday where we can go over it and get some extra practise.

See you then,

Miss Barrell x


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