Tuesday, 12 June 2018

Jo Knox - Mult/Div PD


Jo Knox - Sherwood Primary - June 2018
Multiplication and Division strategies using rich tasks

Resources shared with the group
Grapes of Math (PDF online) Online book
Bedtime Maths Book - check out for Library

Things to work on for mixed ability grouping
Students to write down other people’s strategies - not just verbal share.
Have options for students to always be able to opt in to workshops.
Have set workshops for the week

Skip counting - just skipping numbers - make it into movements to introduce for students that aren’t getting it.
Stage 6 is to commit times tables to memory - Have times tables games

Instead of group boxes - have addition practise boxes, subtraction, multiplication, division etc.
Game options - Salute - Sergeant major, plus 2 soldiers - 3 goes each, then switch. Addition too, and could do cards 1 - 5 first. Could just do two people - one person holds up card, other flicks it up, and caller calls it out, so person is just competing against themselves.

Teach students to think “What facts do I know already?” and to work from there.
Eg. 8 x 6 = 10 x 6 = 60 minus 2 groups of 6.
60 - 12 = 48
Or 8 x 5 = 40, plus another group of 8 = 48
Focus on 2’s, 5’s and 10’s.

Whole class problem solving:

  1. Launch the problem - make it relevant and memorable so they can refer back to it for mathematical thinking.
  2. What is the problem asking them to do? Not the answer - just what needs to be found out. Have students identify keywords - circle them. Could take the numbers out so they know what you are asking them to do. This takes away the desire for students to just try to answer it.
  3. Independent think time - to stop other children from always dominating
  4. Shared thinking time - small groups a lot less intimidating to share with peers. Teach the students how to be a part of a group - cooperation, active listening, teacher to model as well, equal being involved, thinking group rules - write up from students ideas. Be explicit. Thinking group rules - speakers job to explain and justify so that everyone understands; listeners job to actively listen and ask questions to make sense of what is being said; everyone’s job is to have a go and support each other, and we are allowed to ‘friendly disagree’.
  5. Whole class sharing: Congress - moving the thinking of the whole group along (not necessarily the most sophisticated answer. T to explicitly pick groups after roving around, who will share their ideas. 20 + 20 + 20 + 20 = 80 eg. Why did you add? Cos I can’t do times tables. Well, this group did 20 x 4, that’s the same etc. Penny drops!
  6. Students self reflect on where they are at.

Stage 7 problems
Going to the hot pools - tickets are $49 each, 5 people going. Only 1 student got it first. From how students worked it out on their whiteboards Jo could see they working it out by 40 + 40 + 40 etc, and 9 + 9 + 9 + 9 etc. She notice that rounding to $50 wasn’t best thing to learn, but solving by 10’s would be better. Did lesson on that, with materials - yellow tens and ones in cups, and then the next problem was with imaging. In the cups, but behind book.

88 x 5 - can double and half - 44 x 10 = 440 (proportional adjustment)
880 x 10 = 880, then half it.
90 x 5 = 500, then take away 12 x 5 = 60; 500 - 60 = 440 (Rounding and compensation)
Place value partitioning - 80 x 5, 8 x 5

39 + 65 = 106 (add 1 to first part, then to the other)
Is the same as 40 + 66 = 106

32 x 17 - Material Masters - Dotty arrays
Model what it looks like on dotty arrays.

Jo’s long algorithm - 30 and 2 multiplied by 10 and 7, multiply them all like she did on board. Place value must be solid for this, beyond single digit eg. 28 x 4.


Look at making jelly cups for measuring in mls…….
Green - 99mls
Yellow - 54 mls
Red - 23 mls
If they make 8 cups, how many mls of each colour do they need? Measuring

To do’s to email to myself.
  • Mult bingo to print
  • Teach kids Salute - start with addition. Then chn who want to move up to multiplication to go together.
  • Thinking thumbs, hand on chests when ready to answer - instead of hands up, then sweet as sign when agree.
  • Look at material masters for Stg 6/7 Mario and Ariel, Faith, Marnei, Maxx?? Material masters 6-6b Multiplication Roundabout



Tuesday, 15 May 2018

PD with Jo Knox - Focus on Stage 4 - 7 for Maths

Wednesday 16th May, 2018
Games - 100 or Bust - closest to 100 using cards 1-9, and can put in the tens or ones.


Numbers game - using digits to make a certain number.

Another Warm Up - Give students 3 cards/or put on the board.
  • student to make biggest number, and write it in numbers and words.
  • Make/draw it with equipment.
  • Say
  • Round to nearest number (10’s, 100’s etc).
  • Order it (make 4 new numbers with same card and then order them from small to big)
  • Dictation
  • Expand it - 400 + 20 + 1
  • Then add and subtract 30 etc.
  • How many more would you need to make 10?

Warm ups - 199 + 24 =             99 + 50 =
39 + 15 etc          19 + 19 =

Kids love building with yellow blocks. Make a small structure and get them to count how many blocks. Write out in modelling books.

Jo Knox modelling with small group. Do Diagnostic first. Then check prior knowledge. Co-create WALT at the end with them. What did we do?
Think pair share within the group.
Go back to diagnostic if kids not too tired/over it and you think it would be worthwhile.

Reversibility
1002 - 987
Making tidy numbers

Decimals
When multiplying by 10 everything jumps up one, into the 10’s, 100’s, 1000’s etc.
Must understand fractions well first.
Could split Year 3’s and Year 4’s.

Candy bars for 10ths, wrap up 10 breakable cubes together.
Blue pipes - one whole licorice -
If this is one whole piece, what is this (10th)
Students will write 1/10 or one tenth.
Put place value house up and the decimal point.
How many ones do I need to make a 10? 10. How many 10’s do I need to make 100? 10. Etc. Show on PV house.
After the decimal point is not whole numbers
After this, how many pieces make a whole one? This is our tenths column.
How many whole licorice sticks do I have? 0. How many tenths? 0.1
What does half look like? One half = 5/10 or 5 tenths.
How many whole ones? 0. How many tenths - 0.5
How can we show one quarter? Can we?
Get the 100ths. How many tenths? How many hundredths? 2 tenths, 5 hundredths.

Make 0.4. Make 0.32 Make 1.04   Make 0.6
Have students make them, and then compare them. Who has the most licorice? Who has the least. Show the numbers too on the board so they can see the numbers.

Practise game - Decimal Rocket - 7 spaces.
7 spaces with 0. on the side. Highest to lowest at bottom. Roll 3 dice, then 2, then 1. So the digits they enter might be 2, 5, 4, then 5, 6, and then 7. This makes them think about if 0.76 is higher or lower than 0.7

What is 0.54 - picture what that looks like.
Now picture 0.3. What do you picture now?
What is 0.54 + 0.3

This has now moved into imaging.

3.6 - 2.98 Use equipment. One person holds 3.6. Give 3 to a friend. How many do they owe you? 0.2

Book - One is a snail, ten is a crab - Cool for algebra intro.
Have students create their own creatures eg. 8 eyes, 5 hands, 2 legs etc. So 8 of these animals would have how many eyes, legs, hands etc?
Make books you read link to maths problems. 
Biscuits loves to eat cookies. He ate 5 cookies everyday for a 6 days. But on Sunday he ate 6. How many did he eat during the week?

Tuesday, 1 May 2018

Maths PD


Jo Knox at Sherwood Primary School
  • Mixed ability grouping activity which we couldn't solve without working with others collaboratively.
  • Our maths tasks tell chn which groups they are at.
  • Jo Knox's philosophy - Have needs based groups from data collected from testing. Call chn to mat for that particular workshop, and offer it to chn who feel they need it to. 
  • Warm up's for hot spots you've noticed from testing/lessons, or their own personal goals eg. grouping to tens etc. 
  • Splitting the class in the middle - first half today, second half  . Wednesday do workshops with flexible grouping. Thursday and Friday back to first half of the week. Or do a few days of flexible groupings. Friday whole class etc. 
  • Or same problem for whole class but you focus on one/two groups per day. 
Read the article "Ability and Mathematics: the mindset revolution that is reshaping education" by Jo Boaler. 
  • Carol Dweck's growth mindset thinking is needed in maths
  • Students that the teacher perceives as 'low' are often given lower tasks and are not challenged. 
  • Students can learn from each other and often explain it better to their peers than me anyway!
Games to play
Snap It: Using uniblocks behind back, start with 8, show 5. How many are behind back? Using colours. Ask student how they know?
Countdown (2 mins)
100      25      10      5   1  4 
Target number: 254
Use any numbers to get to the number. Usually a higher number at the beginning 
10 x 25 = 250, + 4 = 254

Teaching number knowledge
Using the hundreds frame (blank) but also with thousands book.
Counting in tens from 10 eg. 7, 17, 27, 37 
plus showing adding tens with the tens blocks and hundreds

NZ Maths must go to's
Take this - using everyday objects and lesson plans to go with
https://nzmaths.co.nz/numeracy-project-pld - Animations for teachers and how to use all the equipment and resources. 
Picture books that teach mathematical ideas https://nzmaths.co.nz/search/node/picture%20books
Check out E-ako for students to work on for independent work

Daily Warm up
Fractions - identifying, adding, subtracting, groups of, 
Time - reading analogue clock
3 card game - adding up 3 cards and explaining how they got their answer. Using adding tens, doubles, splitting numbers etc. 
Addition wars game
High 5's, high 4's, high 8's for doubles and halves, especially double 7, 8, 9 and halves of equivalent.
10's frames and addition subtraction and with ten for ten pluses.


Make a flower for the clock saying minutes gone past
Different learning centre tasks - 8 different challenges. By the end of the term you are to have completed 5, so some choice involved.  

Showing class that 4 x 10 = 40, so 4 x 5 = 20 - half of that. 
8 x 8 is 64. I know this as I know that 4 x 4 is 32, so I can double it. 




Wednesday, 7 March 2018

Numeracy Course with Jo Knox


March 7th, 2018 - Sherwood Primary

  • Going over the Numeracy Project, and how the levels and stages go against each year level. National Standards are gone, but we can still mark against the Curriculum levels.
  •  
  • Recap/questions/practise on how to best use GLoSS - HOT TIP - write the equation on the answer sheet in a cloud for future reference, and photocopy 30 sheets for your whole class. Circle the answer they give so it is clear for future ref.
  •  
  • IKAN - Do IKAN in small groups, holding up flash cards instead of whole class.
  •  
  • Did GLoSS testing with a 6 year old and a 10 year old. Worked with Cathy, a BT.
  •  
  • Spiderweb Student Progress and Achievement sheet for Number to record students’ data.


Tuesday, 6 March 2018

Library - recommendations from students and teachers

I have taken photos of students and teachers holding up books that they love and can recommend to others. These pictures are now on the wall in the library along with the authors name and linking it to where the students can find the book. Eg You can find Mo Willems books in the W's in the picture books. This display is to build our school's reading culture, but also to teach students how to locate books in the library. 








Te Ara Reo Maori Course - First night

I have just started a course through Te Wananga O Aotearoa called Te Ara Reo Maori. It is a 38 week course covering reo and tikanga and a whole lot of fun!

Notes from last night

Tena koe, tena korua, tena kotou.

Vowel practise - a, e, i, o, u. Short vowels on left (maui) hand (wahine side) and long vowels on right (matou)  side (tane).
Practised the vowels as individuals, then as pairs and how the sounds went together, then in 3's.
Game: Played a game with hands moving the vowel on in the circle. Again left hand - short vowel a, e, then next person in the circle changes the direction with i long sound in the next direction.

Game:  Kohatu (stone), ika, manu, kauri. Walk around with music. Find a buddy when music stops. Pepa, kutikuti, kohatu. Whoever wins graduates to next character. Kauri go to the side to sing.

He patai taku - I have a question
He patai - Any questions?

Hakina - Breathe in, Haputa - breathe out.

Lots of great kupu and phrases for the classroom!

Restorative Justice PD

When a child can't read, we teach them. When a child can't write, we teach them. When a child can't behave...... we punish the...