Level 5 Pack 1 Info

Pages 3/4. Grid Multiplication 1.
Pupils may be coming from Primary schools using this technique for multiplying numbers. It is particularly useful for long multiplication as it is clear where numbers belong. When pupils are particularly comfortable with this techniques, then they should be taught the more concise, traditional method. Less able pupils may never progress to traditional long multiplication.

Pages 5/6. Grid Multiplication 2.
Grid multiplication with missing numbers.

Pages 7/8. Long Multiplcation.
A quick reminder of the usual level 4 multiplying before a traditional style level 5 exercise.

Pages 9/10. Long Division.
The first side is level 4 division as this is the one pupils normally forget, before a traditional style exercise on level 5 long division.

Pages 11/12. Long Multiplication and Division Problems.
Putting the skills pupils have learnt into context with worded questions.

Pages 13/14. Egyptian Multiplication/Russian Multiplication.
Ways other countries attempt long multiplication.

Page 15. Chinese Multiplication.
Another alternative way for long multiplication.

Pages 16/17. Spiralling Sums.
Long multiplications. Answers are written in words in a spiral grid. Shaded squares then read out mystery countries.

Pages 18/19. The Number 6/7 Multiple Maze.
Work out the sum, see if it is a multiple of the given number and try to find your way through the maze. The complexity of the two tasks combined gives it the level 5 rating !

Pages 20/21. The Number 8/9 Multiple Maze.
Work out the sum, see if it is a multiple of the given number and try to find your way through the maze. The complexity of the two tasks combined gives it the level 5 rating !

Page 22. Multiplication and Division Cross Numbers.
Three number "crosswords" using multiplication and division skills.

Pages 23/24. Prime Numbers 1.
A reminder about multiples and factors. Using factors as the definition of prime numbers. Introducing indices, leading to square and cube numbers.

Pages 25/26. Prime Numbers 2.
Finding Prime Factors and leaving in index notation. Finding Highest Common Factors. An exercise using common factors to find dimensions of a cuboid. Finally finding Lowest Common Multiples.

Page 27. Factors and Multiples Game.
There is a similar game using only the numbers 1- 25, but it doesn't have a solution. This puzzle has been changed so pupil's don't feel cheated and can find a solution!

Pages 28/29. Investigations using Indices.
Investigations using indices.

Page 30. Prime Pirate Maze.
A very simple way of reinforcing the prime numbers and the 'look' of a prime number. With less able groups write on the bottom of the sheet all the prime numbers from 1 to 100 as a reminder. The strategy for solving the maze is interesting to watch. Some pupils start from different points trying to find routes. Some simply colour in the prime numbers at random until the routes appear!

Page 31. A Prime Maze.
Work out the sum and then follow primes to the exit! Another way of trying to reinforcing prime numbers in an interesting fashion.

Page 32. Prime and Square Numbers.
A snakes and ladders game used to reinforce prime numbers and square numbers. It makes it a lot more interesting if pupils have to land exactly on the win square to finish.

Pages 33/34. Multiplying by Powers of 10.
Multiplying by powers of 10 in the format 10, 100, 1000,... as well as in index notation.

Pages 35/36. Dividing by Powers of 10.
Dividing by powers of 10 in the format 10, 100, 1000,... as well as in index notation.

Page 37. Zap to Zero.
Place Value. A game using the skills of place value.

Page 38. Stamps.
Four different investigations using stamps as a central theme.

Pages 39/40. Probability (Equally Likely Outcomes).
Questions based around equally likely outcomes.

Pages 41/42. Assigning Probabilities.
The different ways of assigning probabilities are dealt with here. Pupils have to carry out surveys and experiments. There are SAT style questions choosing which method of assigning a probability is best. Finally, comparing Theory and Experimental probabilities.

Pages 43/44. Experimental Probabilities. (Bonus pages).
Pupils should be encouraged to find probabilities by experiment. Here we have questions based on experiments or surveys that have previously been carried out.

Level 5 Pack 2 Info