I can’t quite believe we are at the end of April already – it’s been a very strange month but I am very proud of you all!
*New ‘my maths’ will be set on Friday so make sure it is up to date*
- Find half
- Write in words
- Find 1/2 or 3/6
- Find 10% or 65%
- Write in Roman Numerals
- + 6.32
- x 10
- + 15.6 – 12.5
- x 6
- Jon managed to do _________ starjumps, his brother Steve did 64 more and his sister Jane did 23 less. How many did Steve and Jane do?
Ext: Consecutive Numbers
Well I wonder how often you have noticed that there are numbers around the place that follow one after another 1, 2, 3 … etc.? Sometimes they appear in reverse order when a countdown is happening for a launch of a rocket. But usually they happen in an order going up, like when you read through a book and notice the page numbers. These kinds of numbers are called consecutive numbers, you may have heard of the word before – it simply means that they are whole numbers that follow one after another.
This investigation uses the idea of consecutive numbers and gives us other numbers to explore. You may very well discover things that NO ONE else has discovered or written about before, and that’s GREAT!
So this is how it starts. You need to choose any four consecutive numbers and place them in a row with a bit of a space between them, like this:
When you’ve chosen your consecutive numbers, stick with those same ones for quite a while, exploring ideas before you change them in any way. Now place + and − signs in between them, something like this :
4 + 5 – 6 + 7
4 – 5 + 6 + 7
and so on until you have found all the possibilities. Are you sure you’ve got them all? You should include one using all +’s and one that includes all −’s.
Now work out the answers to all your calculations (e.g. 4 – 5 + 6 + 7 = 12 and so on).
Now try other sets of four consecutive numbers and look carefully at the sets of answers that you get each time.
Are you surprised by anything you notice?
It is probably a good idea to write down your ‘noticings’. This can lead you to test some ideas out by starting with new sets of consecutive numbers and seeing if the same things happen in the same way.
You might now be doing some predictions that you can test out…
FINALLY, it is good to ask the question “I wonder what would happen if I … ?”
You may have thought up your own questions to explore further. Here are some we thought of:
“What would happen if I took the consecutive numbers in an order going down, instead of up?”
“What would happen if I only used sets of three consecutive numbers?”
“What would happen if I used more consecutive numbers?”
“What would happen if I changed the rule and allowed consecutive numbers to include fractions or decimals?”
“What would happen if I allowed a + or − sign before the first number?”
Today you are going to use all your research from Tuesday to write a diary entry – you are writing as though you are an Egyptian Child. You can write over a few days or even a full week!
Make sure you check your features list and include these in your writing. You also need to include all the features that makes our writing great! Think about a problem you had to overcome as an Egyptian child as this may help you write in more detail.
Here are some examples of diary entries (some are better than others)
Use this opportunity to have a good read of either a new book, current book or a book you’ve read lots that you’ve never got bored of – read to yourself, brother or sister, parent, over video message (ask an adult first).
Write a profile about one of the characters in the book, this could be a picture of them with words around the outside or might be a descriptive paragraph with a picture underneath
Have a lovely Thursday everyone and look forward to seeing and reading some of your work as well as finding out everything else you have been upto!
Mrs Powell & Mrs Harvey