addition & subtraction
Post on 14-Jan-2016
46 Views
Preview:
DESCRIPTION
TRANSCRIPT
Addition & Subtraction
Strategy Framework Revision
• 1 1-1 One-to-One Counting• 2 CA Counting From One on Materials• 3 CA Counting From One by Imaging• 4 AC Advanced Counting• 5 EA Early Additive• 6 AA Advanced Additive• 7 AM Advanced Multiplicative• 8 AP Advanced Proportional
A Teaching ProgressionStart by:• Using materials, diagrams to illustrate and
solve the problem
Progress to:• Developing mental images to help solve the
problem
Extend to:• Working abstractly with the number
property
The
Uni
vers
ity
of A
uckl
and
New
Zea
land
2006
Using Number Properties
Using Imaging
Using Materials
New Knowledge & Strategies
Existing Knowledge & Strategies
Using Materials
The Strategy Teaching Model
Using Materials and Imaging
Hands Tens frames
Abacus Place Value Material
Number Lines
37 87 90
+ 50+ 3
1010
1223
Stage 5 EAEarly Additive
Aim: to partition, re-group numbers and use known facts to solve problems
The next slides show different strategies with diagrams. Try them out with multilink cubes
14 - 6 14 - 4 - 2 = 814 – 6
43 - 7
43 - 3 - 4 = 36
Why is this important?
Why bother teaching mental strategies, why can’t I just learn the written form?
• Merely following a procedure - rule following
• Lack of real understanding - mistakes are made or wrongly applied to problem solving
• Need mental ability to estimate & check answers
• It is often quicker to work something out mentally
Stage 6 AA
Advanced Additive
Solve 53 - 29
53 - 29
Tidy Numbers using Compensation
53 - 30 + 1= 24
53 - 29
Place Value Partitioning
53 - 20 - 3 - 6 = 24
53 - 29
Reversibility29 + 1 + 20 + 3 = 53
53 - 29
Equal Additions
5329
1
1
5430
= 24
Summary of StrategiesTidy numbers using
Compensation
53 - 20 + 1
53 - 29
Place Value Partitioning
53 - 20 - 9
Equal Additions54 - 30
Reversibility29 + ? = 53
So, which strategy is best?
It depends on what the question is!!
Try finding different strategies for
these?385 - 99
478 - 56
1002 - 987
Stage 7 AM
Advanced Multiplicative
An extension of the strategies and written form used in Stage 6 but working with decimal numbers.
Objectives• Understand the teaching model used for
teaching strategy: Numeracy Book 5
Eg page 35 or 38. Two activities: choose one and plan a short lesson around this.
Numeracy books are available in school, materials masters on NZ Maths.
Warming down
Have a go, in pairs
1: Additions/Subtraction Strategy Understandings
2: The blue loopy
3: Look at NZC. How do the AOs for number link to the numeracy stages?
Thought for the day “And, if it all just seems too
much…..
STRESSEDbackwards spells
DESSERTS!
top related