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
Dan Meyers http://blog.mrmeyer.com/
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:
- Launch the problem -
make it relevant and memorable so they can refer back to it for
mathematical thinking.
- 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.
- Independent think time
- to stop other children from always dominating
- 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’.
- 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!
- 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