MULTIPLICATION -BY 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].
KeyStageTwo.com is currently working with schools across the British Isles to offer cost reducing benefits to schools across the UK. The system is currently working in 35 schools, and is in talks with various government agencies to have the system installed on a national level within the UK.
Key Stage Two is an affordable education system which integrates education with entertainment by linking education with fun online games which test the child while they learn. We have recorded great results with children spending on average 40 minutes per evening on the system, doing homework and usually additional tests, hence improving the acuity and performance of even the most hard to reach pupil.
The system has identified the following benefits to schools:
-Overall School Cost Reduction due to less homework needing printed it saves money
-Very low price means it is affordable for all schools as well as home tutors
-Teacher Time Reduction due to the reduced amount of marking
-Non Discriminatory, offering facilities to aid children who do not have home computers
-Environmentally friendly reducing your need for printing
-It helps schools meet their own IT targets
-Full Customer Support team in place meaning any queries are dealt with.
-There is a marked Improvement in Children’s performance particularly those who are hard to engage through traditional methods
-Tracking of Child Performance provided by the system enables constructive lesson support, identifying particular areas of weakness in particular pupils as well as the class as a whole.
Why not lobby a school near you to get involved? Or as a parent/tutor avail of the system for only ten pounds per month. Contact us direct on 028 91 464851 or Click the link below for more information.
http://www.KeyStageTwo.com