Fractions, Decimals and Percentages

In class at the moment we have been learning about fractional and decimal numbers and being able to convert between the two (for example, understanding that 0.42 is the same as 42/100). Today we were introduced to percentages and how they link to decimal numbers.

You may like to practise the skills you have learnt in the game below. If you are unsure of what a percentage is, you can just look at the counter on the side to see what percentage you are up to.

Learning about fractions

In class this week we have been exploring fractions, including what fractions are (equal parts of a whole or group), how to represent them and what they are equivalent to (the same as). We have been using a fraction wall to help us with this work. You may like to download this fraction wall for home to help remember how they compare.

fractionwall

Today as a part of our maths investigations we played the following game. It is fantastic for identifying and recognising fractions, and understanding/matching equivalent fractions. Everyone seemed to understand it really well!

To play, you can download the file I have created below and print it out at home. You will need two boards – one for each of the people playing. You will also need two 6-sided dice and a selection of counters or objects you can use to cover the squares.

Take turns to roll the two dice. Lets say you go first and roll a 2 and a 5. Using these two numbers, make a fraction (2/5) by placing the smaller number on top. As your fraction is 2/5, cover up two fifths on the gameboard. Now it is your partners turn to do the same.

The tricky bit is when the board starts to fill up. What if I roll 1/2, but I have already covered up both of the 1/2 pieces? You can start to match equivalents (cover 2 of the 1/4 rectangles, or 3 of the 1/6 rectangles). It works the same in reverse – if you roll 2/4 you can cover 1/2. You will also find you might get 4/4 but not have 4 quarters available to cover- you may need to cover the whole! You may also reach the stage where you have to skip a turn.

The winner is the first person to cover all the places on the wall.

Why not try playing this game at home and see if your child can explain it?

fraction-coverup

Download file as a PDF

After playing the game we also went further to ensure we have an understanding of equivalent fractions and can compare fractions to see if they are bigger or smaller than one another. There are some games you can play online to help you practise these, including Fraction Frenzy, Tony’s Pizza Place and Melvin’s Make a Match.

Tony’s Fraction Pizza (Fractions Game)

This fractions game, Tony’s Fraction Pizza Shop, requires a number of skills to play. First, you need to ensure you read the instructions carefully when they come up on the screen. Your aim is to make as much money for the pizza shop as you can in 5 minutes. Secondly, you will need to know some equivalent fractions. Good luck!

  • Step 1.) Read the client order. A sample client order might read “I’ll have a large pizza, 1/2 pepperoni, 2/5 mushrooms and 1/10 bacon”
  • Step 2.) Select pizza size. In this case, select “large”. This will cause the denominator to change to 10, as a large pizza has ten slices.
  • Step 3 and 4.) Select toppings. First, click on pepperoni and apply to half of the pizza (5 slices). Next, click on mushrooms and apply it to 2/5 of the pizza (4 slices). Finally, click on bacon and apply it to 1/10 of the pizza (1 slice). NOTE – if you make a mistake, select a different pizza size and then re-select the original pizza size to get a new pizza.
  • Step 5) Click on “send”. If you are correct, you will make a sale. Incorrect pizzas will cost you! Enjoy the game!.

Keep your brain active this long weekend!

While you are relaxing at home over the three days this weekend, you may like to give this puzzle a go to keep your brain active! It is called Znumbers.

Here are the rules for playing this game.

The boxes are labeled with a number between 1 and 4, and may only be moved by that amount to a free position (marked with an ‘X’). Your goal is to move every box once and turn it grey.

It does take a bit of persistence to succeed at this puzzle. That’s part of the challenge! So far I am up to level 2. Let us know how you go!

If this puzzle is too tricky, you may like to try Mathletics of revise your factors with the X-Factor game. Enjoy the weekend!

Practise your factors with X-Factor!

Last week we began to look at factors in maths. Some of us found this easy, but it is not a tricky concept to get and requires quite a bit of practise. Here is a great game I have found to help us revise our factors for different numbers. It is called ‘X-Factor‘.

gactors

To play ‘X-Factor‘, you first need to select the level you would like to play from the menu at the top (see the picture below). The picture above is the ’12’ level. The aim is to shoot the ball in your cannon at the factor which pairs with the one in your cannon to make the level number. For example, in the 12 level the 3 in the cannon needs to be shot at a number 4 as 3×4=12.

factoes2

Let us know what score you get in a comment below!

Learning about time

This fortnight in maths we are learning about time. It is not an easy skill to learn, and does require lots of practise both at home and at school. Students should now be reading analogue and digital time up to the minute and recording it in words. We have also been looking at time elapsed (the duration between two events) and converting units (ie, minutes to seconds). Some students who have a solid grasp of these concepts have been extended by looking at 24 hour time and world time zones.

Two games to help us with reading and recording the time are ‘Stop the Clock’ and ‘Bang on Time’.

Stop the Clock

In ‘Stop the Clock’, you need to match the digital times with the time on analogue clock. When you have matched up all the times, hit the clock to stop it. Can you beat your time? There are FIVE levels to the game; hours and half hours, quarter hours, five minute intervals and one minute intervals. The last level has you match 24 hour times. The version of the game embedded below is the ‘one minute intervals’ game. Try the game that best challenges you!

Bang on Time

Another game is Bang on Time‘. This practises the trickier skill of being able to say the time relative to the preceding or coming hour (for example, twenty to ten).

You can set the clock’s hands to the speed you want in this game, so why not start off slow for practise. Your goal is the match the written time (ie, twenty minutes to ten) with the time shown on the analogue clock. The closer you are to the correct answer, the more points you get.

Let me know how you go! Remember, the only way you will be able to get better at telling the time is by practising it constantly.

Ordering Decimal Numbers (Game)

As a part of our maths groups, we have been learning about decimal numbers and their place value. This has included ordering and rounding them. Below is a game to help practise ordering decimal numbers. Choose the activity you want to complete from the main menu, and then order the countries in order from first to last place. Simply click on the flag then click the position number they need to be placed in. Good luck!

Click here to play the game in full screen.