Multiplication - key stage two
Multiplication - key stage two
Multiplication - key stage two
Calculations
Pupils should be taught to:
Number operations and the relationships between them
1. Develop further their understanding of the four number operations and the relationships between them including inverses; use the related vocabulary; choose suitable number operations to solve a given problem, and recognise similar problems to which they apply
2. Find remainders after division, then express a quotient as a fraction or decimal; round up or down after division, depending on the context
3. Understand the use of brackets to determine the order of operations; understand why the commutative, associative and distributive laws apply to addition and multiplication and how they can be used to do mental and written calculations more efficiently.
Mental methods
4. Recall all addition and subtraction facts for each number to 20
5. Work out what they need to add to any two-digit number to make 100, then add or subtract any pair of two-digit whole numbers; handle particular cases of three-digit and four-digit additions and subtractions by using compensation or other methods [for example, 3000 - 1997, 4560 + 998]
6. Recall multiplication facts to 10 x 10 and use them to derive quickly the corresponding division facts
7. Double and halve any two-digit number
8. Multiply and divide, at first in the range 1 to 100 [for example, 27 x 3, 65 ? 5], then for particular cases of larger numbers by using factors, distribution or other methods
Written methods
9. Use written methods to add and subtract positive integers less than 1000, then up to 10000, then add and subtract numbers involving decimals; use approximations and other strategies to check that their answers are reasonable.
10. Use written methods for short multiplication and division by a single-digit integer of two-digit then three-digit then four-digit integers, then of numbers with decimals; then use long multiplication, at first for two-digit by two-digit integer calculations, then for three-digit by two-digit calculations; extend division to informal methods of dividing by a two-digit divisor [for example, 64 ? 16]; use approximations and other strategies to check that their answers are reasonable
Calculator methods
11. Use a calculator for calculations involving several digits, including decimals; use a calculator to solve number problems [for example, 4 ? x 7 = 343]; know how to enter and interpret money calculations and fractions; know how to select the correct key sequence for calculations with more than one operation [for example, 56 x (87 - 48)].
Solving numerical problems
Pupils should be taught to:
1. Choose, use and combine any of the four number operations to solve word problems involving numbers in 'real life', money or measures of length, mass, capacity or time, then perimeter and area
2. Choose and use an applicable way to calculate and explain their methods and reasoning
3. Estimate answers by approximating and checking that their results are reasonable by thinking about the context of the problem, and where necessary checking accuracy [for example, by using the inverse operation, by repeating the calculation in a different order]
4. Recognise, represent and interpret simple number relationships, constructing and using formulae in words then symbols [for example, c = 15 n is the cost, in pence, of n articles at 15p each]
5. Read and plot coordinates in the first quadrant, then in all four quadrants [for example, plot the vertices of a rectangle, or a graph of the multiples of 3].
It is now possible for your child to learn on-line, in a safe and fun environment. Key Stage Two is an internet based learning tool designed to build and grow your child's education in line with the topics they will cover at school.
Click below for more details.
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