Currently we don’t have a workbook covering rounding numbers up and down

We realise that it is an important capability that a child should master as part of their maths education, so we shall either write a new book covering this as part of Number & Place Value which will include Roman Numerals.

We have no release date for this workbook yet, but please subscribe and we’ll email updates including discount codes once the book is available.

Probably the most useful percentage to be able to work out is 1%, and then apply it to lots of problems

A question like “Work out 3% of 60” can look scary to a child who’s just getting to grips with percentages.

An easy way to work this out is to work out what one percent is.

1% = 60 / 100 = 0.6

From this it is easy to work out any percentage.

So 3% of 60 = 0.6 x 3 = 1.8

This is useful because once a child realises that it’s easy to work out what one percent of a number is, everything else becomes easy.

Once this realisation has been made and secured, it is worth working out a lot of examples so it becomes second nature to move fluently between fractions, decimals and percentages.

Here’s a really nice and simple game you can play with one dice

AIM: To get to ten in as few steps as you can

STEP 1: Throw the dice and note your number

STEP 2: Everyone else in the games rolls the dice and notes their number

STEP 3: You roll again and add it to your first number. If you’re lucky you may have rolled two fives, or a six and then a four – but probably not.

STEP 4: You keep rolling, either adding or subtracting the number each time until you get to ten.

For example 5 + 1 + 3 + 5 – 2 etc … until you hit ten.

VARIATION: It can be easier for each play to roll until they get ten, noting the number of rolls it has taken, then on to the next person – i.e. rather than rolling once before passing on the dice.

Scaling the dice game

This is a great game because you can scale it.

Try using two dice and make your target number 21.

To help secure multiplication (and to start the ball rolling with division) explain to a child that;

3 x 5 is the same as 5 x 3

Explain that 3 x 5 is the same as 5 + 5 + 5

… and that 5 x 3 is the same as 3 + 3 + 3 + 3 + 3

It works well to draw these up on a whiteboard and ask the child to replay this explanation with different and easier numbers, e.g. 2 x 3.

Why is this useful?

This is useful because a child might be able to remember a multiplication which rhymes – e.g. 6 x 8 = 48, so it makes sense to remember that 8 x 6 has the same answer even though it doesn’t rhyme.

Research on why repetition (with variation) increases probability of retention

There are many excellent papers with research supporting why repetition with variation has a high probability of increasing retention for children.

This research supports the view at KeyStageMaths.com that repetition with variation is an essential and often overlooked method to help children become fluent in numeracy.

Citations on education using repetition with variation

Here are a few citations:

Bruner (1961) stated that it is only through the exercise of problem solving and the effort of discovery that one learns the working heuristics of discovery. The more one has practice, the more likely is one to generalize what one has learned into a style of problem solving or inquiry that serves for any kind of task or almost any kind of task.

Marton, Wen and Wong (2005) pointed out that the likelihood of being able to recall something is higher if the learners hear or see something several times than if they do not. Furthermore, they commented that, unlike when you read the same presentation of something several times in the same way and thus repeat the same thing again and again, or read the same presentation in different ways, something is repeated and something is varied.

Noche & Yu (2015) found out from her study on supplemental self-paced instruction that focuses on the mastery of either concepts or procedures through repetition with variation, helps young adults improve their performance in tasks designed and proportional reasoning understanding and skills.

Buy & Download Now

You can buy and download it right away. Print and use as many times as you like.

A4, 21 pages, 164 Targeted Q&A for only £2.45 (approx $3.30)

You can buy and download it right away. Print and use as many times as you like.

A4, 21 pages, 188 Targeted Q&A for only £2.45 (approx $3.30)