Merry Christmas my Mathematicians and whanau

Wishing all the students and their families a very Merry Christmas and well deserved break!

Congratulations for a very successful 2017!!

Love
Mrs M  xxxx

Group wha- celebrating our learning

Group Rua: celebrating our 2017 success

Group Tahi: Celebrating Success - 2017

Estimation

A great mathematics strategy is to estimate before working out a solution.

Amy wanted to share her learning with her family today!

Amy felt proud about her work today and wanted to share her learning.

She enjoyed finding all the ways to show 16, and found the patterns of the numbers fun to show.  

Malo Amy, we are very proud of the way you completed all activities and extended yourself to include two digit subtraction. 

Group Toru: playing target

We noticed that whoever gets to the number 5 first will win.

Does it matter who started?
The groups says it doesn't matter.

What do you think?

Group Tahi: playing target

Logan’s even number

Logan wants to show what 8,736 looks like.
It is an ev en number because of the ones. The six ones can be put into two equal groups.

Group Rua: our Maths language.

We are learning about the language of mathematics and what equal means and how we can show this.

We now know the equal sign = means the same as.  Both sides have to be the same or equal.

We have been using the words half and the fraction sign to show our equal groups.

Maths is so connected!!  It was nice to spend time exploring all the ways we can make these connections. 

Kai Pai Group!

Group Wha:

Playing 'first to subtract to get to 0':

Players:
2 people with two different colour felts

We start with the total of 10 and each person has a turn to subtract
Either 1,2,3.

The first to get to 0 wine.

Game of the Week: Got it

Got It is an adding or subtraction game for two players. You can play against a friend. It is a version of a well known game called Nim.

Start with the Got It target 23.

Of start at 23 and subtract to get to zero.

The first player chooses a whole number from 1 to 4 .

Players take turns to add or subtract a whole number from 1 to 4 to the running total.

The player who hits the target of 23 or 0 wins the game.

Play the game several times.
Can you find a winning strategy?
Can you always win?

Does your strategy depend on whether or not you go first?

Group Rima and Ono: count how many fingers?

Group Toru

Felicia is sharing her strategy on how to make 56 with different numbers:
This is still based on our book- 'one is a snail'.

She is using her 'groups of ' knowledge
- 5 groups of 10
- 1 group of 4
- 1 group of 2

or (5 x 10) + (1 x 4) + (1 x 2)
= 56

Ev en and o dd numbers:

What are they?
How do know if the number is an odd or even number?

Odd and Even Numbers:

Group Wha: house fractions

Our Maths group has 4 people:
1 takahe
1 kea
1 hohoi
1 tui

What fraction are in each house?

Group Toru: house Fractions

Group Rua: Game of Totals:

We are now modifying the game?? How would you do this?

Group Rua: playing ‘game of totals’

The aim is the first person to make 10.

Each person uses the numbers 1,2,3 only.

We notice there is a pattern

The first person to reach '6' will always...

Group Tahi: our fraction model by Chantelle

Group Tahi: house fractions

Here we are working out what houses we are in.

As you can see we have 5 people altogether - that is our whole 

We have 4 people in Takahe and 1 person in Hoiho 

We can also say 4/5 are Takahe and 1/5 is Hoiho

Which is the biggest fraction??

Yes it's 4/5ths :-) 

Group Ono- multiplication and division connections

Today I learnt about equal sharing or division. 

I got confused and now I remember how to use it.  I remember the problem about the 21 fejoias and collecting them in groups of 3.   I knew that there were 7 groups altogether.  21 divided into groups of 3 and that is 7. 

21 divided by 3 = 7

or

3 x 7 = 21

'Groups of' (times) and division are connected together!!!

Group Rima:

What makes a good mathematician?

Group Toru: multiplication

Here group Toru is using the book 'one is a snail' to find how many legs it would take to make 28.

These are the girls favourite combinations- they found over 5 different ways.

I am proud to see them using multiplication instead of repeated addition and finding a variety of ways. Keep it up girls!

Group Ono: playing Karlia's game

Karlia shared a game; we all wrote 1-10 in a pyramid shape. We then each asked a question and could cross out the number if it was the answer. Some great questions asked..
what would you ask?

Group Tahi: making houses out of our number of the day

Here we are using our place value knowledge to create a house. Look at all the different 429 houses. Well done girls!

Group wha: Choosing our learning goal

Group Toru:

Here we are making 429 and getting 10 more.
Today we learnt more than in maths means plus or addition. The number gets bigger. The tens change to make 439.

Next Ten game: New Group Tahi:

Get a card and find out how many to the nearest 10. See how many ways you can write and say the combinations.

When you have mastered this game make it two digits with two cards.

Special Interest Review 2017

Special Interest student Reflections:  2017

• “In our cooking I learnt about fractions, decimals, percentages.”
• I learnt different ways of solving challenging problems ie use a smaller case, experiment. Ben
• “If you want to find an eighth of number just divide it by 8”. :Seb
• “ I learnt about square roots when we answered the problem - 4 fours.” Grace H
• “I learnt about Maths in cooking, that you can halve recipes.  The importance of having all the ingredients.” Karol
• “Baking helped me try new foods, and using measurement tools - like cups and mls.
• This class helps me learn new ways to answer problems. “ Grace
• “This class is challenging me” Grace S and Jerry
• “ I learn more complicated Maths and things I wouldn’t do in my classroom ie square roots.” Joe
• “It’s fun, I get to spend time just learning Math” Jerry
• “ I get to do harder Maths and way more challenging.  It is different, we have more problems. Like optical illusions” Lucas
• It is challenging and interesting, if it’s challenging it is getting me smarter (Quinn).
• “Its helped me to struggle, it was fun as well as doing Maths.  Normally Maths isn't that fun.” Dayna
• “This Maths is a bit hard and makes me struggle and I like the Maths we do.  I especially learnt fractions.  Last year I didn’t know any fractions - now I know divide by three is the same as putting it into thirds.  Lucas
• “I enjoy baking and using the measurement tools.  I enjoyed doing 4 fours and countdown timer.  It was a challenge.  We get to share our learning with our class.” Khan
• “ I learnt more strategies, from other students and Mrs Madden.  It was fun at the same time. “ Max M
• “I like doing the 4 fours because it is challenging, and the fraction snakes, it puts our learning into action.  I like cooking and using my fractions.” Jonathon
• “I learnt how to make all numbers, this learning is different (learning power to, square roots).  Learning our own ways to learn has helped me.” Olivia
• “ I get to learn more and get better and learn deeply.  Having conversations at home has extended my learning.” Robert
• “I like the cooking, I will do it again at home.  I kept doing it at home (the folding of paper to make ⅙, I’m still practicing.” Arad
• “ This helps improve my Maths - I just love it.” Andreus

How Can Mrs Madden Improve:

• Nothing, keep it the same - Grace
• More cooking
• Having more Maths and Art combined - like optical illusions “Lucas and Quinn
• Get more time to do it in the afternoons. Ben
• “I don’t think you can - it’s awesome!” Olivia
• Keep doing it!

President of NZ Mathematics Association Visit

Here Mrs Frankcom is talking to us about our Mathematical learning in Room 23. She was impressed to see we had a growth mindset and enjoyed Mathematics almost as much as her 😀😀

She also awarded a prize to Mrs Madden for her teaching! It's like a big sticker for teachers- we are always life long learners.

A very special day indeed!

Welcome to Term 4

This week and next is exciting as we hear the students voice and see how much progress they have made!!

This is one of the best parts of any teacher's job!

Please celebrate in their success and progress. 

Student Voice: Their Reflections in their words of our Maths Programme.

• Sara “It is ok to make mistakes and that helps us grow.” “Using the chromebooks to make a bar model using Google slides was fun.”
• Rebecca “It helped with my fractions, I now know ⅚ and how to put it onto a numberline.””working with a small group where I feel comfortable to talk and discuss my Maths ideas.”
• Jennuli “ In class I’m not much of a talker about Maths, this class helps me to understand my Maths.  I am now brave enough to put my hand up in class.”
• Ellie “ In class I wouldn’t put my hand up, I was nervous.  The class has helped me a lot and to show my mum and dad I’m not dumb at maths.  I wish I didn’t have to leave.” “I was a doubter and now I’m not”
• Jack “ When I first walked in here I didn’t like Maths.  I thought I would be bored, but you made it fun for us.  You play games with us and it makes me so happy.” “I was embarrassed and wouldn’t put my hand up and now I do”
• “You make us challenge ourselves, and I love Number of the Day.” by Jack and Jenuli.
• “ We can have others help us in our small groups, we have lots of equipment to put pictures in our heads,” Olivia
• “I can talk more in a smaller group, I can ask questions.” Pasindu
• “I get to use equipment and play games with numbers and writing numbers in Chinese.” Neil
• “We can take our time and it is nicer to learn here it is not rushed and there is no yelling.” Olivia
• “ Learning is fun here, I understand Maths in my class better now, we get to build stuff, I like using the blog and computer on Thursdays.” Ashton
• “Using the empty number line, it's helping learn my doubles and I get time to draw out my solutions.
• “I like using the tens frames, I get to chose what works for me,” “I feel more comfortable to share the strategy the teacher is talking about.” Jaymee
• “ I like the Maths class because we help each other learn, I learn best from that.  
• “Have time to write out my ideas and strategies here - especially on the whiteboard table.” Danille
• “ I like the blog and writing comments, it helps me remember the work I’ve done and be proud of myself.” Chantelle
• “We have time to practice our skills and not be rushed” Chantelle
• “I have learnt fractions, pluses, times and division.  I like putting times tables into 'groups of' ie 5 groups of 10 is 50 as well as 5 X 10 = 50” Erin
• We work hard here, you can’t escape learning. Mrs Madden acts crazy to teach us new Maths”Franca
• “I learnt from others, I now know my fractions I didn’t know before.  We are making connections, I now know how they relate to multiplication and division.” Evie
• “ I like using the blocks to make the numbers and put a picture in my head.  I can see the place value this way.” Pippa
• “You make me better at maths because you show me easier strategies - by letting us work it out and use our talk moves to share it with each other.” Poppy
• “Having learning goals keeps me focused and I like ticking them off.” Poppy

How Can Mrs Madden’s classes Improve:

• Have our own Maths website that we could put all our videos like a maths dictionary .  The videos about the brain and how we learn.  This will be just for the Rm 23 class.  I want videos of us talking not just pictures. Jaymee and Ellie
• “Have Maths lessons longer in Rm 23.” Olivia and Jaymee
• “Make sure you don’t speak fast at times.” Pippa

Group wha:

Madison's strategy: using bar models for subtraction problems.

Group Toru:

Madison's learning

Group Toru:

Sharing her learning about Fractions

Group Tahi: our google slides

Presenting our google slides to show our fraction bar models.

Group Rua:

Using a number wheel to share our number knowledge and make our connections.

Group Wha: Making Connections:

How do fractions relate to multiplication and division?

Wonderful conclusions! Thank you Poppy who reminded us division is just equal
Sharing and that is what fractions are.

Special Interest : Introducing factorials

As part of finding the numbers 1- 20 using only four 4's .  We were introduced to Factorials.

Factorials use the exclamation mark (!)
ie  4!

a " factorial of n items gives you the number of ways you can arrange the given items."

So 4! means = 4 x 3 x 2 x 1 = 24


For example: If there are two coins - you can arrange them in two different ways - like wise if you have 3 coins - there are 6 ways you can arrange them.
If you have four coins you can arrange then in ___ ways? 

Group Tahi and Wha: bar models

These groups have made their own bar models using google slides.
They used the shape tools to create and measure their bar models. Today the whole was 24. We know our fractions all depend on our whole.

Very proud team!!

Special Interest Question

Can you quarter a triangle?

If so how? If not why not?

Complete a drawing and send it to Mrs Madden.

Group Toru: Jaymee showing a fraction wall

Special interest: more cookies ....

Here is our last group who divided the recipe into thirds and created their smartie biscuit.

Special interest: making four 4's

Here are all our solutions.
Ka pai to Robert who went home and found his own solutions!!

Special interest Ono - Tuesday

Here we are making smartie cookies and banana clusters. We worked as a group to decide on who was bringing which ingredients. We then had to divide our recipe into thirds or halves as some groups forgot their ingredients.

We then designed and made containers to hold our cookies.
Using nothing but an A4 piece of paper.