Presentation on theme: "Maths is like….. Train-spotting…..you jot down a whole load of numbers for no apparent reason Cabbage…..you either love it or hate it depending on how."— Presentation transcript:
Maths is like….. Train-spotting…..you jot down a whole load of numbers for no apparent reason Cabbage…..you either love it or hate it depending on how it was served up to you as a child
Aims of session To work through each of the methods we teach at Rushen Primary for addition, subtraction, multiplication and division. WHY? We want children to develop efficient methods of calculations with addition, subtraction, multiplication and division. We want children to be able to choose an appropriate method for their calculations. We want children to develop a mathematical understanding, a feel for number not just a mechanical method that is prone to error. We want to develop “learners for life”.
Language of addition. Sum Total Addition Add altogether More Plus Make
Methods of addition. Starting with knowing number bonds, use of apparatus, adding groups of apparatus together. 4 + 2 = 6 1 + 1 + 1 + ++
Working across the line adding significant digits first ie in 14 + 15, add the tens first and then the units. Need to have sound place value understanding before doing sums like 16 + 18 where digits cross the tens boundary.
Column addition. Digits with the same value must be lined up underneath each other. Once concept of adding units first then tens is understood then can work on where to put digits when values break the tens boundary. Methods of addition.
Language of subtraction. Take awayDifference Subtract Minus Less Leave
Methods of subtraction. Starting with knowing number bonds, use of apparatus, taking groups of apparatus away from a total - how many are left. 4 - 2 = 2
Methods of subtraction. Working across the line subtracting significant digits first ie in 39 - 15, subtract the tens first and then the units. Need to have sound place value understanding before doing sums like 34 - 18 where digits cross the tens boundary. Use of number lines to show jumping or counting on in stages.
Methods of subtraction. Column subtraction. Digits with the same value must be lined up underneath each other. Once concept of adding units first then tens is understood then can work on what to do to when a subtraction can’t be done - borrowing from the next column.
Language of Multiplication. Multiplication lots of Groups of Times MultiplyMultiplied by Multiple of Array Repeated addition
Multiplication facts - what are they? Yr 4 - Know all multiplication facts to 10 x 10 and division facts. Multiplication facts are the times tables where two numbers are multiplied. Children are expected to be able to recall and make use of multiplication facts up to 10 x 10 by end of Yr5. They are key to many areas of maths not just multiplication and division. Yr 5&6 Using multiplication and division facts.
Ideas for revising and applying multiplication facts. Reciting times table facts ie 1x4 is 4, 2x 4 is 8 etc. Round the clock Shopping Using playing cards Board games
Methods of multiplication HTU by U Important Multiplying, product, units, tens, hundreds, multiple, array, lots of, times, multiply, double. Refer to each number by its correct value - ie 5 or 40 or 300. Grid Method Formal Method 126 x 3
Methods of multiplication HTU by TU Grid MethodFormal Method 24 x 16
Language of Division. ShareEqual groups of Share equally Divided by Divide Divided into
Methods of Division HTU by U Words linked to division - group, divide, division, divided by, divisible, factor, share, half, remainder. Need to know division facts - related to times tables knowledge. Formal method 196 ÷ 6
Methods of dividing HTU by TU Repeated subtractionFormal method 972 ÷ 36