Draw out as much information as possible from the 3 sets of numbers.

e.g. characteristics these numbers; relationship

**25, 144, 169****121, 3600, 3721****49, 576, 625**

Key in your observations in

*Comments*- Home
- Mathematical Framework
- Habits of Mind
- Tips to Do Well in Maths
- Scheme of Work & Assessment
- ICT in Action
- I want to clarify... / I have a question...
- What I know...
- Unit 1: Primes, HCF & LCM
- Unit 2 Real Numbers
- Unit 2 Operation of Numbers
- Unit 3 Significant Figures
- Unit 4 Algebra (1)
- Unit 4 Algebra (2)
- Unit 4 Algebra (3)
- Unit 10 Data Handling (1) Mission Possible
- Have Fun with Holograms

Subscribe to:
Post Comments (Atom)

They are all perfect cubes?

ReplyDeleteHow would you test if they are perfect cubes?

DeleteAnd they can all be square rooted?

ReplyDeleteYes :)

DeleteThey are all perfect squares and also be square rooted.

ReplyDeleteYes :)

DeleteTry to draw a 'connection'/ relationship between "perfect squares" and "square roots"

they are whole numbers

ReplyDeleteYes.

DeleteWhat else?

They can be square rooted and there are all perfect square,whole numbers and i think positive integers

ReplyDeleteYes. So, what relationship/ connection can be draw between "square roots" and "perfect squares"?

DeleteNext question: What's the difference between "whole numbers" and "positive integers"?

The first number plus the second number equals to the third number

ReplyDeleteGood observation.

DeleteDoes this exist in coincidence? or if there's any special relationship amongst these 3 numbers (in each set)?

This comment has been removed by the author.

ReplyDeleteThere is an even number between two odd numbers.

ReplyDeleteInteresting observation :)

DeleteBut is it by coincidence.

There exists a similar relationship for this set of number: 36, 64, 100

What other observations do you have?

1. first 2 numbers summed up is the third. Can be square rooted

ReplyDeleteGood observation for both the summing up of the numbers and the square root.

DeleteLet's try generalising the relationship of these 3 numbers :)

all of them can be square rooted

ReplyDeleteYes :)

DeleteHow else can you connect the three numbers together?

The first no. plus second no. equal third no.

ReplyDeleteYes :)

DeleteHow else can you connect the three numbers?

Look closer at each number...

they are all perfect squares and can be square rooted

Deletethe first number plus the second number is the third number

Everyone say already if i type then it will be like i copy

ReplyDeleteThen don't read. Do the survey first then read other people's comments. That's what I did and I also found out that all my answers has already been mentioned and I also missed out a few. But as long as you are honest and you did not copy, there is nothing wrong and it is also impossible for everyone to have different answers

DeleteWell said, Jeffrey :)

DeleteAbigail:

It's a good practice to answer the question first before looking at what others have written so that your thoughts will not be clouded by what others said. On the other hand, that's how we learn from different perspectives :)

In addition, if you see my replies, you notice that no one actually had fully explained the relationships of the numbers yet.

The third number, when subtracted by the second number, is equal to the first number.

ReplyDeleteYes.

DeleteWhat has 'caused' this relationship of these numbers?

They are perfect squares

ReplyDeleteThis is an important observation.

DeleteNext step: How are these perfect squares related?

This comment has been removed by the author.

ReplyDeleteEach set always has one number which is a multiple of 5

ReplyDeleteThis is an interesting observation :)

DeleteWe'll need to find out more to see if it's true after you learn to generalise the relationship of the three numbers.

What other observations can you draw from each set of numbers?

1. They are perfect squares (all of them, set 1, 2 and 3)

ReplyDelete2. They are positive numbers.

3. The first number plus the second nnumber equals to the third number.

Good - these are clear.

DeleteWith these observations, try to generalise a relationship amongst the numbers (in each set)

Every set has 1 number that's a multiple of 5

ReplyDeleteEvery number is a perfect square and can be square rooted

In every set, the 1st number + 2nd number = 3rd number

In every set, the 2nd number is an even number but the 1st and 3rd number are odd numbers

All numbers are positive integers (numbers above 0) but that's pretty obvious

That's all I could draw out from my calculator :)

Your listing is pretty thorough :)

DeleteOn the other hand

- the position of the odd and even numbers do not matter (after you generalise the relationship amongst the three numbers)

- note it is not necessary that the three numbers would have a mix of odd and even number. There exists a similar relationship for this set of number: 36, 64, 100

So, having drawn out all these observations, the next step is try to generalise the relationship of these 3 numbers in each set.

Every set has 1 number that's a multiple of 5

ReplyDeleteEvery number is a perfect square and can be square rooted

In every set, the 1st number + 2nd number = 3rd number

In every set, the 2nd number is an even number but the 1st and 3rd number are odd numbers

All numbers are positive integers (numbers above 0) but that's pretty obvious

That's all I could draw out from my calculator :)

This is a repeated post.

DeleteThey are perfect squares and can be square rooted.

ReplyDeleteThe third number is the sum of the first and second number.

Good observations.

DeleteCan you link the two observations and generalise it?

The first and second number add up equals to the third number. They are all perfect squares and can be square rooted to form a whole number.

ReplyDeleteGood observations.

DeleteNow, try to link these observations and generalise a relationship :)

The sum of all the numbers is an even number(9030) but when you subtract the two biggest number it becomes an odd number.

ReplyDelete