230 likes | 413 Views
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.
E N D
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 Progression Start 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 Strategy Teaching Model Existing Knowledge & Strategies • Using Number Properties Using Imaging Using Materials Using Materials New Knowledge & Strategies
12 23 10 10 + 50 + 3 37 87 90 Using Materials and Imaging Hands Tens frames Abacus Place Value Material Number Lines
Stage 5 EA Early 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 - 4 - 2 = 8 14 – 6 14 - 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 29 + 1 + 20 + 3 = 53 Reversibility
1 1 53 54 29 30 53 - 29 Equal Additions = 24
Summary of Strategies Tidy numbers using Compensation 53 - 20 + 1 Place Value Partitioning 53 - 20 - 9 53 - 29 Reversibility 29 + ? = 53 Equal Additions 54 - 30
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….. STRESSED backwards spells DESSERTS!