Sunflower Shapes?

How honeycomb gets its shape!

Patterns in Nature

Timestables Patterns - 4x and 6x

Timestables can be difficult to learn and explain. View this video and discuss the patterns that you see.

Something to Think About!

Knowledge of number patterns is very important in our world. View this video how this math teacher explores 3, 6 and 9 times tables.

Can you explain the patterns?

Can you explore why this works?

My Friend - Zero!

Hey guys,
You know how much I love '0', well it appears so do other people. Click the link below to see a video about multiplying by '10'.

Click Here for Video Link

What is Multiplication?

Can you tell me what multiplication is?

http://mathforum.org/alejandre/java/jam/Jam.html

People must attempt to exchange places without turning around, so that a configuration that begins as:

-> 1 2 3 4 5 6 <-

will end up:

<- 4 5 6 1 2 3 ->

with everybody facing away from the empty slot in the middle.

Object of the game:

To exchange places in the most economical way that can be found, using the minimum number of possible moves.

Rules:

1. If a space in front of you is empty, you may move forward into it. (If a space behind you is empty, you may move backward, but this will probably not be the most economical way to accomplish your goal.) We called this move a slide.

2. If there's an empty space in front of the person directly in front of you, you may jump the person in front of you and move into the empty space unless you're both facing in the same direction (players facing in the same direction may not jump each other).

3. You may not turn around.

Questions considered by the whole group:

1. What's the minimum number of moves necessary for two people on a side? for three people on a side?
2. What's the pattern in the number of moves it takes and the number of people on a side?
3. What formula can account for the minimum number of moves for any number of people on a side?
4. What pattern of 'slides' and 'jumps' can be found, and how is it related to the number of people on a side?
5. What directions does a group follow to accomplish the task with the minimum number of moves?

A City of Towers

In a certain city houses had to be built in a particular way.

There had to be two rooms on the ground floor and all other rooms had to be built on top of these.

Families were allowed to build just one room for each person living in the house.

So a house for two people would look like this:

but a house for three people could look like one of these:

There are some families of seven people living in the town.

In how many different ways can they build their houses?

Teddy Bear Line-Up

Lachlan was playing with his bear counters.

He had four blue, then four red followed by four yellow.

"What are you doing now?" Jenni asked.

"I want to arrange them so that no two bears of the same colour are next to each other", he said.

"That's easy!" cried Jenni.

"Ah, but you have to do it in the least number of moves possible", replied Lachlan.

What's the least number of moves you can take to rearrange the bears?

Buckets of Thinking

There are three buckets: one red, one blue and one yellow. They each hold a maximum of 4 litres.

Liquid is measured carefully in whole litres and poured into the buckets.

If the liquid in the red bucket was poured into the blue bucket, it would then contain the same amount of liquid as the yellow bucket.

Half the contents of the yellow bucket is the same as twice that in the red bucket.

How much liquid is there in each bucket?

How to solve a problem

. UNDERSTANDING THE PROBLEM

• Can you saythe problem in your own words?
• What are you trying to do?
• What do you know?
• What do you need to find out?

2. DEVISING A PLAN

• What strategy are you going to use?

3. CARRYING OUT THE PLAN

• Use your strategy

• Record each step of your work

4. LOOKING BACK

• Check your work

• Did you use the correct strategy?

• How can you fix it?
  

Problem Solving - Draw a Picture

Draw a picture to help you solve some problems.

Four boys were in line. Daniel was behind Timothy. James was between Daniel and Timothy. Daniel was in front of Colin. A mud puddle was near the boy who was in the back of the line. Who was in the back of the line?

Can you work this question out?

Look at the diagram below, what is yours like?

Place Value Chart