Week 5 - Percentages

Hi girls and welcome to the next maths topic - Percentages.

Percent means per-hundred.

percentages are a very important part of our maths work. in school we often talk about percentages with fractions and decimals. They all link together so keep that in mind.

I know i said it last week, but I changed my mind, here's the actual BEST JOKE in the world to get you started......

"Are monsters good at Math?"

"Not unless you Count Dracula."

a good place to start with % is to think of all those lovely fractions you worked on before school closed :)

When trying to get a % can you think of what the fraction is first? If you can think of the fraction then we can use our equivalent fractions to get the denominator to the number 100. And what are % out of??.....You got it, 100.

Look at the top picture thinking of equivalence-------------->

So 3/10 becomes 30/100. Now, because we have it over 100 it's easier. If you scored 30 out of 100 in a test you would have 30%!

If you ate 30 out of 100 sweets you'd have eaten......yep....30%.

but what if we are given a decimal? How does that convert to a %?

This is very similar, just one extra step using the most important rule in your Maths this year - Place Value.

Look at this chart to remind yourself-------------->

So if we know our place value we can convert from a decimal to a fraction and then we use our equivalence like in step one above to make it easy to change to a %.

0.3 = 3 tenths so that's 3/10
3/10 as an equivalent fraction over 100 is ....30/100.
As a percentage this is 30%!

You might be able to do this in one step or you might take all of the steps. Use what works for you.

Place Value.pdf

watch the first video on this link to khan academy. IF YOU WANT YOU CAN WATCH THEM ALL.

-------------------------------------------------------->>>>>>>

Percent of a whole number (video) | Khan AcademyThere are several different ways to solve problems involving percentages, decimals, and fractions. Watch as Sal finds the percentage of a whole number.

Now using what we have read above see how you get on converting these fractions to percentages. Remember: A good place to start is to get them to the equivalent fraction over 100!

now you're up and running try these worksheets.

either a fraction, decimal or percentage is given and you must fill in the blanks for the others.

you can use a copy or print if you want/can. choose which level or even better try them all! Answers are included.

Percentages Decimals Fractions_One Star with answers.pdf

One star

Percentages Decimals Fractions_Two Star with answers.pdf

two star

Percentages Decimals Fractions_Two Star with answers.pdf

three star

Here is a little powerpoint quiz. You will be given a fraction and asked what the equivalent decimal is. but can you also give the answer as a percentage??

challenge yourself. team up with someone at home and see who can write the three versions (fraction - decimal - fraction) the quickest. all three must be correct! 5pts for each correct answer....who will score the most!

Converting-Fractions-to-Decimals-Powerpoint-Quiz

now you are in the swing of equivalence lets start getting a % of something.

Here you will be using percentages, fractions and equivalence (simplifying). You all know how to get a fraction of a number - we must find out what 1 piece is and then multiply if we have more pieces (divide by the bottom, multiply by the top as you would say it).

Well, to get a % of a number you need to change the percentage given into a fraction and just apply that rule. (Remember, simplifying your fraction to its lowest terms where possible will make your sum much easier)

Find Percentages of Quantities 1%, 5%, 10% and 25% Activity Sheet.pdf

Try test yourself further with these sums from p119 of your planet maths book (don't forget you can access the book for free on the folens website if you want to)

well done girls.

if you are still here try this kahoot! quiz

CLICK HERE and use the code 07996862 if you need to.

Page updated

Google Sites

Report abuse