1. Moving Students through Early Additive-Stage 5 and beyond.
Presented by
Helen Rodgers
With thanks to
Honor Ronowicz

2. Todays Menu What is an Early Additive student?
What knowledge do they need to know?
What strategies do they need to learn?
What are the keys to moving them on?

3. What is an Early Additive Student
Brainstorm
What knowledge do they have?
What strategies do they have?

4. What knowledge would you expect them to have?
Number identification
Number sequence and ordering
Rounding of 3 digit numbers to nearest 10 or 100
Basic Facts:
add sub to 20
mult 2,5,10x tables
Multiples of 100 that add to 1000
Groupings
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

5. Ensure these are all in place before moving on!
Early Strategies
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!

6. What knowledge needs to be developed
Number range
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 !

7. Strategies to develop to move to Advanced Additive – Stage 6
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.

8. Strategies to move them on Can you give an example of each of the below strategies?
Place Value partitioning.
Compensating with tidy numbers.
Reversibility
Compatible numbers
Equal additions

9. Jumping those number lines!
What are they all about?
Book 5 teaching addition and subtraction.
Page 33 Jumping the number line.
Page 35 Problems like = 71
Page 36 Problems like = 79
Page 37 Problems like =81
Page 38 Problems like =
What do you notice about the numbers?
What is the same? What is different?
Which strategy works best with which numbers?
Number properties!!

10. 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???

11. Algebraic thinking
Anna looked at and said this is the same as even though she did not need to work out the answer.
How did she know?

12. True/False 97-47 = 100-44 377-69=380-72 Make up 2 of your own! 1 false

13. 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.!