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

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?

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

What knowledge would you expect them to have? Number identification.1-1000 Number sequence and ordering 1-1000 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

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!

What knowledge needs to be developed 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 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? Place Value partitioning. Compensating with tidy numbers. Reversibility Compatible numbers Equal additions

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 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???

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?

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

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.!