Download Moving Students through Early Additive Stage 5

Moving Students through
Early Additive-Stage 5
and beyond.
Presented by
Helen Rodgers
With thanks to
Honor Ronowicz
Todays Menu
What
 What
 What
 What
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is an Early Additive student?
knowledge do they need to know?
strategies do they need to learn?
are the keys to moving them on?
What is an Early Additive Student
Brainstorm
 What knowledge do they have?
 What strategies do they have?
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What knowledge would you expect them
to have?
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Number identification.1-1000
Number sequence and ordering 1-1000
Rounding of 3 digit numbers to nearest 10 or 100
Basic Facts:
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add sub to 20
mult 2,5,10x tables
Multiples of 100 that add to 1000
Groupings
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within 100 eg 49+51
of 2 in in numbers to 20 eg 8 groups of 2 in 17 with 1
remaining
of ten that can be made from a 3 digit number
Early Strategies
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Doubles and near doubles.
Up and back through tens
Addition and subtraction by grouping in 5’s
Addition by looking for compatible numbers that
add to ten, other decades or one hundred
Combining and separating tens and ones.
Use repeated addition to solve multiplication
2,5,10 times tables
Ensure these are all in place before moving on!
What knowledge needs to be developed
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Number range 0-1000 000
Sequencing and number ordering.
Read and order decimals with tenths.
Recall groupings within 1000
How many tens and hundreds in 4 digit numbers
Round whole numbers to the nearest ten, hundred and
thousand
Recall groupings of 2s,3s,5, and tens in numbers to 100.
All their times tables facts
Groupings of 10 and 100 that make a four digit number.
Squared numbers to 100
Do you know what these all mean?
Check in Book 1 !
Strategies to develop to move to
Advanced Additive – Stage 6
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Place Value partitioning.
Compensating with tidy numbers.
Reversibility
Compatible numbers
Equal additions
Use 5 facts to work out 6,7,8 facts
Use 10 facts to work out 9.
Change order to make it easier. 26x3=3x26
Use 2x to work out 3 ,4, 6 and 8x facts
Multiply by 10s, 100s, 1000s etc
Division by sharing and equal sets.
Solve problems using a combination of addition, subtraction,
multiplication and division strategies.
Strategies to move them on
Can you give an example of each of the
below strategies?
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Place Value partitioning.
Compensating with tidy numbers.
Reversibility
Compatible numbers
Equal additions
Jumping those number lines!
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What are they all about?
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Book 5 teaching addition and subtraction.
Page 33 Jumping the number line.
Page 35 Problems like 23+
= 71
Page 36 Problems like 37 +
= 79
Page 37 Problems like
+ 29 =81
Page 38 Problems like 73-19 =
What do you notice about the numbers?
What is the same?
What is different?
Which strategy works best with which
numbers?
Number properties!!
Equal Additions
and Algebraic thinking
Book 5 Page 38
 Work through the problems.
 Use the money or the number lines to help
you?
 Have you got it???
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Algebraic thinking
Anna looked at 793-97 and said this is the
same as 796-100 even though she did not
need to work out the answer.
 How did she know?
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True/False
97-47 = 100-44
377-69=380-72
Make up 2 of your own!
Summary
Consolidate knowledge.
 Ensure you have pulled apart every
problem.
 Why does it work with these numbers?
Will it always work?
 What numbers won’t it work for?
 The key is algebraic thinking.
 Place value and Basic facts.
 Practice, practice, practice.!
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