### Maths home learning

Some things need to be memorised in maths and at year 7, all of the times tables including the division facts should be instant recall.  If these are in place, then work on the stage 8 knowledge which is converting fractions to decimals to percentages - see the table below for the ones which need to be instant recall.

This page covers learning the times tables, basic facts for stage 8 and activities to consolidate place value which is absolutely vital for understanding decimals.

Tricks for learning the times tables:

10x - all end in 0
5x - 5x an even number ends in 0, 5x an odd number ends in 5
2x - even numbers, all end in 2, 4, 6, 8, or 0
9x - the first digit of the answer is 1 less than the number you are multiplying by. So if you are multiplying 9 by 6 (9x6) the first digit of the answer will be 5_ (so you know its in the 50s). The second digit of the answer is whatever you have to add to the first one to make the number 9. So 5+4= 9 so the second digit of the answer is 4. 9x6=54.
4x - same as the 2x table but double the answer e.g. 3x2=6 so 3x4=12
8x - same as the 4x table but double the answer e.g. 3x4=12 so 3x8=24
3x - learn it first by skip counting and then you just have to learn thi one
6x - same as the 3x but double the answer e.g. 7x3=21 so 7x6=42
7x - sorry you just have to learn this one but if you know all the other tables, you will only need to learn 7x7=49

## Families of Facts

Division facts are the opposite of multiplication facts so:

3x4=12 and 12 divided by 3 = 4 - notice its all the same numbers

The family of facts for this is:
3x4=12, 4x3=12, 12 divided by 3 = 4, 12 divided by 4 = 3
To know your times tables thoroughly you also need to know the division facts.

To learn times tables focus on one table at a time - singing or reciting it does work, also you can make flash cards with the fact on one side and the answer on the other side.  Writing them up and putting them on the bedroom, or toilet, wall isn't a bad idea.

PLACE VALUE IS VITAL FOR LEARNING ABOUT DECIMALS which is needed in year 7.  The following games and activities will help with place value and you can't do enough of it.

Another very good way of learning place value and  covering previous gaps is through E-Ako on the NZMaths site.

Number learning with card games
 Learning Place Value Place value Draw out up to six cards (start with three cards and work up) and line them up into a number Ask the value of each place eg millions, hundred thousands, ten thousands, thousands, hundreds, tens, ones e.g. 2,167 – there are two thousands, one hundred, six tens and seven in the ones place.   Extension: ask how many 10s, 100s, 1000s etc are in the whole number.  Eg above there are 216 tens.   Play against a partner.  Choose up to six cards and each player make the largest/smallest number.  Read it out loud.   What number would be ten times bigger?  Ten times smaller?    What is 1 more, 10 more, 10 less, 100 more, 100 less etc (use attached grid sheet) Addition and subtraction Pick out two numbers, add them, subtract them Extension: pick out two more numbers to make a number eg 345, pick out another set of numbers eg 452 add and subtract them. Multiplication Pick out two cards, multiply them How high how low can I go (see attached sheet) Division Pick out two cards, hide them, tell the product (the two cards multiplied together) show one card and they have to say what the other card is. Fractions & Decimals Pick out two cards make them into a fraction (don’t do 1/7s or 1/6s), convert into a decimal e.g. 7/4 = 1.75; 2/5=0.4

Sites with more games:

 www.nzmaths.co.nz www.mathplayground.com http://www.coolmath.com http://www.mathcats.com www.fleetkids.com www.funbrain.com/numbers.html http://www.teachertools.co.nz/ www.kidsites.com/sites-edu/math.htm www.kidsnumbers.com Iplaymathgames.co

Worksheets for all aspects of maths - good for practice