The concept of ratio is used in many daily activities such as cooking, using maps, or reading scale drawings. It can be very helpful to talk to your child about where and why we use ratio in our daily lives. For example:
A flapjack recipe requires 240g of oats. This makes 18 flapjacks. What quantity of oats is needed to make 24 flapjacks?
The ratio 240:18 can be established, and used to come to the answer320g.
These types of problems will provide the foundation for formal approaches to ratio and proportion they will come across later – and you are bound to keep your child interested in ratios if you use them to make flapjacks!
There are percentages to explore everywhere in the real world. For example, what percentage of your child’s class are girls? If there is 25% off the cost of something at the shops, how much money are you saving? Can you then subtract this to find out the new price?
Your child could do a survey with friends and family. For example, they could ask everyone what their favourite food is and then work out the percentage of people that chose each type of food.
3. Play the matching card game
Create some simple cards showing problems such as 15% of 300, then write the solutions to the problems on different cards. Use the cards to play pairs or snap, or just challenge your child to find the correct answer to each problem from the answer pile.
If your child has siblings, adding a bit of healthy competition to this game could help them get flying in no time!
4. Get creative
This fun salt dough craft activity is a fun way to make decorations or ornaments and practise measuring and using ratios while you are at it.
And finally, don’t worry if you are not sure how to calculate with ratios – take a look at the examples from earlier on this page or read up on ratios in our education glossary for more advice.
Want more?
To help your child’s learning further, you may want to watch some of the videos included within our dedicatedmaths library. If you’re looking for more ideas to support learning at home,head over to ourmaths blogto explore articles full of top tips and fun activities.
For example, ratio 2 : 7 is also represented as 2/7, where 2 is the antecedent and 7 is the consequent. The two terms b and c are called mean terms. The two terms a and d are known as extreme terms. The proportion formula can be expressed as, a/b = c/d or a : b : : c : d.
To solve proportions, start by taking the numerator, or top number, of the fraction you know and multiplying it with the denominator, or bottom number, of the fraction you don't know. Next, take that number and divide it by the denominator of the fraction you know. Now you can replace x with this final number.
The 3 ways to solve a proportion are: vertically, horizontally and diagonally (cross-multiplication). The vertical method is used if one of the ratios has a common multiple between the two quantities. The horizontal method is used if there is a common multiple between both numerators or denominators.
To solve an R&P problem set up as fractions, you'll cross-multiply the numerator of the first fraction by the denominator of the second fraction, and then cross-multiply the denominator of the first fraction by the numerator of the second fraction. After that, division is needed as the final step to solve for the dose.
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)
If put this into a calculator (3 divided by 5), you will get a decimal of 0.6 as the answer. This means that any two numbers that divide and come to the same answer are equivalent to 3/5.
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