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Learn multiplication and division strategies through interactive activities and practical examples. Enhance mental maths skills and problem-solving abilities. Suitable for St. Teresa’s Primary School curriculum with Essex County Council.
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Maths the Modern Way!! Multiplication and Division St Teresa’s Primary School with Essex County Council
Total Recall! Select pairs of numbers from the target board on your table. Add these using one of the methods from last session. Will you use a number line? Will you partition and add mentally? Do you need to make jottings? BE BRAVE – try to avoid using the standard method! Now try with three numbers! Or try pairs of numbers and carry out a subtraction!
The Primary National Strategy • Basis of teaching since 1999 – based on extensive research and proven success • Daily entitlement to maths lesson • Key features • Progression carefully set out • Interactivity – use of models, images, games, practical activities • Focus on mental skills as well as written • Vocabulary, problem solving, communication, explanation and reasoning
There is no “right way” to work!! • Children exposed to a range of methods. • Methods selected will depend upon the situation and the numbers involved, including when to use calculators. • Children make decisions about methods and draw on a range of strategies and approaches when applying Maths is context. • Children in same class could be using different methods to others depending on their ability, confidence and stage of mathematical development.
The Importance of Vocabulary • Key to success in mathematics • Can be confusion between school and home • Children need opportunities in class and in homework to use mathematical vocabulary – games, collaborative work, open ended investigations
Mathematical Vocabulary Booklet • Guide to which words and phrases are introduced to each year group • Schools many make decisions regarding vocabulary • It is not a checklist • Check with children and teachers if there are unfamiliar words
Multiplication • Calculate the answer to this… 5 6 x 3
Did you do this? 5 6 x 3 1 6 8 1 Or did you use a mental method?Why did you choose the method you used?
Repeated Addition (Year 2/3) 5 added to 5 added to 5 5 + 5 + 5 3 lots of 5 5 x 3 3 x 5 Lots of practical experiences and use of number lines. Children will begin to use x and = signs.
Multiplication as an Array 2 x 4 = 8 4 lots of 2 = 8 4 x 2 = 8 2 lots of 4 = 8 Arrays are quite common – ice cube trays, egg boxes, chocolate boxes, medicine wrapping, tiles etc.
Multiplication by 10 7 x 10 = 70
Multiplication by 10 7 x 10 = 70
Multiplication by 10 7 x 10 = 70 BUT WE DIDN’T JUST ADD A 0!
Multiplication by 10 7 x 10 = 70 BUT WE DIDN’T JUST ADD A 0! 7 7.0 Both of these numbers are worth the same! 7 add a 0 is 7 + 0 = 7 We haven’t multiplied here!
Multiplication by 10 H T U
Multiplication by 10 H T U 7
Multiplication by 10 H T U 7 7
Multiplication by 10 H T U 7 7 0
Partitioning 15 x 5
Partitioning This is 10 x 5 and 5 x 5 added together. 10 x 5 = 50 5 x 5 = 25 50 + 25 = 75 15 x 5
Partitioning 36 x 4
Partitioning 36 x 4 36 x 4 is 30 x 4 and 6 x 4 added together. I know that 30 is three lots of 10, so 30 x 4 is 10 x 4 added to 10 x 4 added to 10 x 4. 10 x 4 = 40 10 x 4 = 40 10 x 4 = 40 6 x 4 = 24 40 + 40 + 40 + 24 = 144
Partitioning 36 x 4 36 x 4 is 30 x 4 added to 6 x 4 I know that 30 x 4 is 10 times bigger than 3 x 4 3 x 4 = 12, so 30 x 4 = 120 6 x 4 = 24 120 + 24 = 144
Grid Method 23 x 8
Grid Method 23 x 8 x 20 3 8
Grid Method 23 x 8 x 20 3 160 8
Grid Method 23 x 8 x 20 3 160 24 8
Grid Method 23 x 8 x 20 3 160 + 24 160 24 8 184
Have a Go!! 26 x 5 32 x 4
Grid Method 26 x 5 x 20 6 100 + 30 100 30 5 130
Grid Method 32 x 4 x 30 2 120 + 8 120 8 4 128
Grid Method 346 x 4 x 300 40 6 4
Grid Method 346 x 4 x 300 40 6 4 1200
Grid Method 346 x 4 x 300 40 6 4 1200 160
Grid Method 346 x 4 x 300 40 6 4 1200 160 24
Grid Method 346 x 4 x 300 40 6 1200 160 4 1200 160 24 + 24 1384
Grid Method 72 x 38 70 2 x 30 8
Grid Method 72 x 38 70 2 x 2100 560 2100 60 30 60 + 16 2736 560 16 8
Standard Method 23 x 8 x 20 3 160 + 24 160 24 8 184
Standard Method 23 x 8 2 3 x 8 1 6 0 20 x 8 2 4 3 x 8 1 8 4
2 3 2 3 x 8 x 8 Standard Method 23 x 8 1 6 0 20 x 8 4 2 4 3 x 8 2 1 8 4
2 3 2 3 x 8 x 8 Standard Method 23 x 8 1 6 0 20 x 8 1 8 4 2 4 3 x 8 2 1 8 4
1 0 0 0 7 5 6 x 4 2 x 3 Why Not Just Teach the Standard Method?
1 0 0 0 7 5 6 x 4 2 x 3 Why Not Just Teach the Standard Method? 0 0 0 2 1
1 0 0 0 7 x 3 Why Not Just Teach the Standard Method? 5 6 x 4 2 0 0 0 2 1 • 2 • 2 0 3 2
Division Share 8 sweets between two children.
Division Share 8 sweets between two children.