Presentation on theme: "The Efficient Learning of Multiplication Tables"— Presentation transcript:
1The Efficient Learning of Multiplication Tables Elizabeth AndersonGlenavon School
2PrinciplesThe Twos: If child knows doubles from addition the two times tables are at handThe Fives: May know from telling the minutes on a clock for timeMay know multiply even number by 5 and is half the even number with a 0 addedOr may know a x 5 = ½ (a x 10)
3The nines – a x 9 where a is a single digit the answer always adds up to 9. The first digit in the answer is a – 1Display fingers with a finger folded – on left of finger tens, on right of finger ones.
4Skip countingSkip counting in 2’s, 3’s, 4’s and 5’s helps with those tables
5Easy PartsIf chn know easier parts can breakdown more difficult parts, eg 6 x 6 = 36 may be used to work out 8 x 6 by noting8 x 6 = 2 x x 6 = = 48
6Twice as muchFinding facts that are 2ce as much as a known fact eg 2 x 8 = 16leads to 4 x 8 = twice 16 = 32
9Cummutative principle Chn learn that a x b = b x aThis shows reflective symmetry along the diagonal axis
10MethodChn sit a pre-test of all tables 0x – 9x – 100 Multiplication factsMake a chart of known facts expected to learn and then coloured when covered and learnt to show rapid progressWork in pairs to share solution methods and explain their ideasIdeas reported back to classAt end of lesson child wrote in journal to share learning with a friend
11Following each lesson the squares learnt were coloured in to show learning Chn learn 64 out of 100 facts by end of 0x, 1x, 2x, and 5x covered in 1 or 2 lessons depending on capability of classFocus on remaining ‘difficult’ facts
12Lesson OneFocus Question: The zero times table – is there anything special about the zero times table. How would you explain it to a friend.Same for 1 and 2 times tablesFocus question: What can you find out about the 5 times table?Next test on 64 facts, 0, 1, 2 and 5 times
13Lesson Two Elicit reactions to test on 64 facts Focus question: 24 is our special number. Make up number sentences that give an answer of 24.This was repeated for 48 and 12Add to chart; 6x4, 4x6, 8x3,3x8, plus 6x8, 8x6 and 3x4, 4x3Chn put these facts in journal and learn overnight
14Lesson ThreeFocus Task: Think about 9 and represent it in a number of ways. Can you think of ways to explain how you would describe 9 to others?
15Lesson FourFocus Task: Explore the answers to the 9 times table to find strategies to help you remember this tableDiscuss hand strategy
16Lesson Five Complete 3x and 4x on chart. Discuss 3x – skip counting in 3’sDiscuss patterns found in 4x – twice the 2x tables
17Lesson SixFocus Question: How would a person who did not know 6x7 and 7x6 work it out?Eg. If you know your 3 times tables you can work it out. 3x7 =21so 6x7 = 21+21=42
18Lesson SevenFocus Task: Work out 7x8 – this being the fact people find the hardest to remember. Do not use repeated addition.Eg.7x7 = = 56
19Post test Test and chart on 100 multiplication facts Compare results!!!
20Borrowed from Vivienne Morrison St Margarets College2002