Seeing fractions in different ways!

Draw a square.

Colour 1 quarter pink.
Colour 1 half yellow.
Colour the rest black.
Find at least 3 different ways to show this.

Fractions in reality

We built on our thinking from yesterday-

After eating pizza I have this much left over-
1/2 meat lovers
1/2 cheese and tomato pizza
1/4 mushroom pizza
1/4 chicken pizza
Show your thinking in different ways...

Thinking Problems

After eating pizza I have this much left over-
1/2 meat lovers
1/2 cheese and tomato pizza
1/2 mushroom pizza
1/2 chicken pizza
How much pizza have I got left altogether?
Show your thinking in different ways...

Fractions

Fractions on PhotoPeach
We are learning to read and follow instructions.
Read and think about each instruction.
Re-read.
Discuss your thinking with others.
Is your thinking the same?
Are you going to change your thinking? Why?

Our Learning in Week 7

This week we have been exploring fractions.  Fractions of objects and fractions of sets.  We discovered that fractions, division, and repeated addition are all related.  I wonder if subtraction is related too?  Can you get repeated subtraction?
We explored the question - "What is a fraction."  The equal sharing of a whole object or set.  We see fractions all around us.  When baking, sewing, building, telling the time, measuring, sharing pizza and toast.

Fractions on PhotoPeach

Our learning in week 6

We had some fun sessions last week exploring number and place value to 1000.  We also enjoyed using the calculator to help us skip count forwards and backwards.  Please encourage the children to show you their learning through the maths blog.  The last posting shows how you can use playing cards to explore numbers to 1000.  Ordering numbers, counting and talking about numbers before and after is knowledge we are consolidating.  The children have expecially enjoyed playing the game risk which also explores number and place value.  It is a fun and educational game to play with the whole family.  

When practising writing numbers we found the tricky ones were numbers with 0 as a place holder - 105, 409, 306; numbers in the teens 114, 215, 616 and numbers that are tidy 150, 340, 590.  

Another fun activity that has helped with skip counting and algebraic patterning is found by using the constant key on the calculator.  The children are starting to see and hear the patterning that occurs when skip counting in 2's, 5's and 10's and can continue these patterns using larger numbers.  We even found out about negative numbers.

Place Value and Ordering Numbers

Using a pack of cards deal 3 numbers.

What is the greatest number you can make with your 3 cards.

952
What is the smallest number you can make?

259
What other numbers can you make?

295

529
Put the numbers you made into order from smallest to biggest.

Calculators and skip counting, what fun!

Calculators and skip counting, what fun! on PhotoPeach
   

We have been using the calculator to help us explore the  patterning in skip counting.

Do you know I made this pattern?  Can you think of the number I am skip counting in?  What happens when I get to zero?

We know this person is skip counting in 5's because the number aways ends in a 0 or a 5.

What number was this person skip counting in.  All the numbers end in a 0?
Have fun skip counting!

The meaning of equals

We have been exploring the meaning of equals.

So if equals means to balance, or is the same as, what could it look like in a number equation?

Here is some of our thinking where we were looking at balancing 10.

We began to see patterns in our thinking...

11-1

12-2

13-3

14-4

15-5

16-6

Can you carry this patterning on?

 We found other patterns...

29-19

33-23

56-46

44-34

Can you carry this patterning on?

Even more patterns...

130-120

140-130

150-140

160-150

Adding 3 numbers together-

4+4+2

6+2+2

7+2+1

5+4+1

What other 3 numbers can you join together to make 10?

How about groups of...

2X5

5X2

1X10

10X1

So what would skip counting look like?

What would skip counting sound like?

We explored doubles and halves...

So what is 10 a half of?