Sequences

We have been learning about sequences in maths. As part of this we have carried out an investigation.

Here is a program some of us used.

Homework - addition

The homework this week is to explain what you know about addition.

Some ideas:

• How do you add numbers? Are there any written methods that help you?
• What about adding negative numbers, decimals or fractions?
• What's the biggest number you can add?
• When do you use adding in everyday life?
• Are there any jobs where you need to be really good at adding? Why?
• What happens if you add two even numbers? What about three even numbers? etc. What about odd numbers?

Fractions activities

Compare fractions

Finding equivalent fractions

Simplifying/reducing fractions to lowest terms

Maths survey

If you are in Grebes class, please click here and complete the survey.

Length homework

Ideas (remember you don't have to do all of these, they are just some ideas to get you started, so pick the ones that you find most interesting):

• Measure some things, e.g. around the house, yourself!
• Compare measurements, e.g. the heights of the people in your family
• When in everyday life do we measure things?
• What measuring equipment is there? How do you use it? Does it measure some things better than others?
• What are the different units of measure? e.g. metres
• What is the conversion between units of measure? e.g. 100cm = 1m
• Practise converting measures, e.g. 234cm = 2m 34cm or 2.34m
• Find out about imperial units of measure, e.g. inches
• Survey your family to find out which units of measure they prefer to use, e.g. inches or cm
• Find out about how things were measured in the past, e.g. how did the Ancient Egyptians measure things?

Sequences

Ideas for sequences homework:

Sequences can be number, shape, pattern etc.

Make lots of different number sequences and write the rule for each.
Make shape sequences using graphics software, or paint, or print them
Make other sequences using objects and take a photo of them.
Explain some common sequences like odd numbers.
Find out about famous number sequences like the Fibonacci sequence.

Here is a website about sequences - some information is easy to understand, some very complicated! (but still easier than if you look up sequences on Wiki)

Crossing the river

Can you work out how to get everything safely across the river? (click here)

Can you get all the people across the river? (click here)

Conjectures

On this weeks homework the challenge is to write conjectures but what are they?

Imagine we are investigating what happens when you add even numbers. You might start with some examples e.g.

6 + 4 = 10 even + even = even

2 + 4 = 6 even + even = even

100 + 52 = 152 even + even = even

At this point you might begin to notice a pattern. You could therefore make a conjecture -

Conjecture: when you add two even numbers you always get an even answer

You have not tested every possible pair of even numbers to check this is correct - in fact it's not possible as there are an infinite number of possibilities. So a conjecture is a statement about what you think is happening. You might do more examples and find that the conjecture is not correct so have to make a new one, or the examples may fit the conjecture. However this has not proven that the conjecture is correct only that so far you haven't found any examples that contradict it. The are often ways to prove it is correct but we are not worried about proof at this stage!

Fractions

We're learning about fractions. Here are some links to fractions games:

Shade simple fractions

Links to Woodlands Junior fraction games

Venn Diagram Shape Sorter

You can practise using Venn diagrams and sorting shapes here.

Maths Monkey

Salhouse School now has a popular addition - his name is Maths Monkey!

Maths Monkey just loves maths. Every day he gets to go home with a different child and do maths with them. He doesn't like doing worksheets but loves doing anything around the home (or out and about) that includes maths. So far he has been shopping a few times (lots of maths there!), done some cooking (lots of measuring), estimated and counted different items including his own stripes and even played games like Monopoly. He even has his own diary to record what he's been up to. He's having so much fun and helping children to see the maths all around them. He's probably the most popular person at school!

If you want to make your own Maths Monkey here's the pattern for him.

Patterns

Bitterns are learning about patterns in maths.

Click here to colour objects in different ways, trying to find all the possibilities (click 'main session')

Graphs

We are carrying out surveys in class 1/2/3 and using this program to turn the information into graphs.

Money maths

Here are some great sites for practising using money:

Money Splat - recognising amounts

Price Challenge - using coins to pay amounts up to 20p

Price Challenge 50p - using coins to pay amounts up to 50p

Igloo shopping - using coins to pay amounts up to £10

Money Exchanger - giving change

Graphs

We are learning about how to put information into graphs.

Here you can make different types of graphs.

Telling the time

We are practising telling the time. Here are some great games to play:

O'clock and half past (2 player game)

setting a clock (3 levels)

Time detectives (a mystery to solve)

Telling the time (analogue clocks with quarter to etc.)

Taking-away

Here is a website to practice subtraction.

Crossing the river

We had to get 3 aliens from one planet to another. This website has the same problem but with people crossing a river in a boat.

This website is similar but different (there is a farmer, chicken and fox!).

I am thinking of a number...

We thought of a number between 1 and 100. We then came up with clues to help others work out the number we had thought of.

Here they all are:

Alex‘s Number

It is more than 5
It is odd
It is not a multiple of 5
When you add the digits together you get 18


Taylor‘s Number
It is more than 50
It is odd.
It is not a multiple of 5
When you add the digits together you get 13
It is a multiple of 3


Evei‘s Number

It is more than 20
It is even.
It is a multiple of 10
When you add the digits together you get 1


Harry‘s Number

It is more than 25
It is even.
It is a multiple of 10
When you add the digits together you get 6


Emma‘s Number

It is more than 65
It is even.
It is not a multiple of 5
When you add the digits together you get 10


Mellisa‘s Number

It is between 30 and 40
It is odd.
It is not a multiple of 5.
When you add the digits together you get 10


Chloe W‘s Number

It is less than 40
It is even.
It is not a multiple of 5
When you add the digits together you get 8



Molly‘s Number

It is more than 10
It is even.
It is a multiple of 10
When you add the digits together you get 5


Leah‘s Number

It is more than 0
It is odd.
It is a multiple of 5
When you add the digits together you get 10


Holly H‘s Number

It is more than 50
It is even.
It is a multiple of 10
When you add the digits together you get 1


Harvey‘s Number

It is more than 20
It is odd.
It is a multiple of 5
When you add the digits together you get 7


Pippa‘s Number

It is less than 50
It is a 2 digit number.
It is odd.
It is not a multiple of 5
When you add the digits together you get 9


Georgina‘s Number

It is between 5 and 20
It is odd.
It is not a multiple of 5
When you add the digits together you get 8


Will C‘s Number

It is between and 10 and 20
It is odd.
It is not a multiple of 5
When you add the digits together you get 4


Chloe G‘s Number

It is between 10 and 30
It is odd.
It is not a multiple of 5
When you add the digits together you get 11


Rhiannon‘s Number

It is more than 50
It is odd.
It is not a multiple of 5
When you add the digits together you get 13



Kieran‘s Number

It is more than 60
It is even.
It is a multiple of 10
When you add the digits together you get 7


Richie‘s Number

It is less than 50
It is even.
It is a 2 digit number
It is not a multiple of 5
When you add the digits together you get 8


Holly M‘s Number

It is more than 50
It is even.
It is not a multiple of 5
When you add the digits together you get 12


George‘s Number

It is more than 45
It is odd.
It is a multiple of 5
When you add the digits together you get 10

Space Maths

This term we are going on a space exploration in maths. We have designed space ships and are going to lots of different planets.

Click here to do some Spacey Maths and practice adding, subtracting, multiplying and dividing.