How to teach percentage

How to teach percentage

Begin with slightly percentages revision

Figuring out percentages could be one thing you fortunately bid farewell to the day you completed doing your individual maths schoolwork, so needing slightly refresher course on the precise calculations required is not stunning. It’s important to be clear in regards to the (easy) maths concerned earlier than tackling it together with your baby, as you might threat complicated them additional. So, make sure you’re assured in:

How to work out percentages

To search out 1% of a quantity. divide it by 100
To search out 10% of a quantity. divide it by 10
To search out 5% discover 10% then halve it
To search out 25% of a quantity divide it by 4
To search out 50% of a quantity divide it by 2
To search out 20%, 30%, 40%, 60%, and so on. discover 10% after which multiply by 2, 3, 4, 6, and so on.

For instance: to discover 30% of 90, discover 10% (9) after which multiply it by 3 to discover 30%: 9 x 3 = 27

The connection between fractions, decimals and percentages

The equivalencies your baby wants to know are:

How to teach percentage
Of their maths schoolwork they will be requested to reply questions comparable to:

  • What’s 30% as a decimal? (0.3)
  • 8/10 of my marbles are crimson. What percentage is that this? (80%)

When answering questions like these, remind your baby to use what they know, such because the quantity info above, to assist with what they don’t. In the event that they understand how to discover 10% of a quantity (at velocity), for instance, they’ll understand how to double and triple it to discover 20% and 30% and most calculations will appear a lot simpler to resolve.

Utilizing meals as a maths help makes percentages 100% extra interesting

What might be extra motivation-inducing for any discerning baby than ensuring everybody will get an equal share of cake? Allow them to be liable for understanding the percentage every individual wants, relying on how many individuals there are to share it out between. Then if one individual decides they don’t need any, they’ll have to start the calculating over once more!

When beginning to introduce the subject of percentages, a food-related, hands-on exercise could be helpful as a result of they’ll be studying to see the connection between division, fractions and percentages. Questions comparable to the next will assist them to make these hyperlinks:

  • If I minimize the cake into 10 equal items and eat three. What percentage have I eaten ?
  • If I minimize the cake into 5 equal items and provides away 2, what percentage do I’ve left?

Store the gross sales

In the event you can persuade your baby to go garments purchasing, hitting the gross sales is a superb demonstration of percentages at work in a real-life state of affairs. Encourage them to enable you to work out how a lot one thing prices with a sure percentage off.

They will do the identical with particular presents on the grocery store too. Percentage-type presents on meals could be deceptive, however assist them to spot these traps too! Draw their consideration to ‘50% free’ presents and ask them to calculate mentally how a lot the objects price after their discount.

If purchasing and youngsters do not combine so far as you are involved (honest sufficient!), be impressed by retail promotions to set them some percentage issues at house, as an alternative. For instance:
A field of goodies is priced at £5. They’re decreased in value by 30%. How a lot do they price now?
Your baby will want to first work out 30% of £5, by understanding 10% after which multiplying it by 3 (10% of £5 is 50p, multiplied by Three is £1.50). They may then want to subtract £1.50 from £5, which leaves £3.50. The field of goodies has been decreased to £3.50.

Go liquid

Consider all of the occasions in our households that we use liquids with our kids: to wash-up, put together drinks, have baths, and so on. Encourage them to actually ‘get a really feel’ of what a percentage represents by demonstrating with on a regular basis liquids and utilizing the right vocabulary (for instance exhibiting them a milk bottle is barely 50% full and can want to be replenished or asking them to solely fill a glass to about 80% capability). Utilizing their judging and estimating abilities will actually assist them to visualise percentages, relatively than study them as a purely summary maths phenomenon.

How to teach percentage

Once I start to teach half, entire, and % issues, I clarify to my college students that there’s nothing that I teach in my class that I take advantage of extra typically in my actual life. College students mirror on the place they see percents: the grocery retailer, gross sales and reductions, and their grades.

6.RP.A.3.C Discover a % of a amount as a price per 100 (e.g., 30% of a amount means 30/100 occasions the amount); resolve issues involving discovering the entire, given an element and the %.

6.5(B) Clear up actual‐world issues to discover the entire g iven an element and the %, to discover the half given the entire and the %, and to discover the % given the half and the entire, together with the usage of concrete and pictorial fashions.

How to teach percentage


Earlier than I teach discovering half, entire, and %, college students have already practiced and been examined on proportional relationships and unit charges. They’re proficient at studying a phrase drawback and organising a proportion. What I lastly received appropriate this yr is the significance of organising the labels. I’m not speaking about writing half/entire; I’m referring to describing what the half is in relation to describing the entire. Instance: variety of ladies/whole college students. If college students perceive that the half is expounded to the % via the label, then they are going to be a lot extra profitable in organising the % proportion accurately and with extra confidence.

How to teach percentage

Since this can be a TEKS readiness ability and a ability with heavy real-world utility, I believe that it’s important to spend a number of days protecting it. Right here is an instance of how I’d sequence the ability over the course of a few days.

  • Day 1: P.c of a Amount – Discovering the P.c
  • Day 2: P.c of a Amount – Discovering the Half
  • Day 3: P.c of a Amount – Discovering the Complete
  • Day 4: P.c of a Amount – Blended

As soon as college students are comfy fixing for every bit in isolation, they want to apply figuring out which piece they’re fixing for when the issue kind is blended up. Sometimes, I give college students three issues which might be very comparable and ask them, “Are we fixing for the half, for the entire, or for the %?” Enable college students to grapple with the three completely different issues and ask them how they know. This actually is essential! If a pupil can decipher what they’re fixing for and what the given data is, then it simply turns into a multiplication and division drawback. Think about using my prefered drawback fixing mannequin right here.

1. Mrs. Brack has simply arrange her Christmas tree. 50 % of her ornaments are crimson. If she has 30 ornaments, then what number of are crimson?

2. Mrs. Brack is organising her second Christmas tree. Her tree consists of 30% crimson and 70% gold ornaments. If there are 40 crimson ornaments, then what number of ornaments are on the tree?

3. Mrs. Brack is organising her third Christmas tree. If there are 25 crimson ornaments and 35 gold ornaments, then what % of ornaments are crimson?


I teach college students to consider “out of 100” after they see the phrase % within the phrase drawback. College students are used to having at the very least three numbers and fixing for an unknown fourth when fixing proportion phrase issues. This could be a little bit of a slippery slope as they become old and the issues get extra complicated, or if there’s a desk concerned.

As well as, after they see 60%, they’re to instantly write it as a fraction – 60 over 100.

Strip diagrams (or % bars) play a pivotal position in demonstrating the connection of the % to the half and entire. This conceptual understanding helps your visible learners particularly and also will present college students how you should use benchmark percents (25%, 50%, and 75%) to estimate the reply.

How to teach percentage

Lastly, use the friendliest numbers you may when introducing the ability!


The % proportion is a useful software for college kids to reference. I level to it typically and I go away it up all year long since it’s a ability I closely spiral. As well as, an anchor chart that lists the entire issue pairs of 100 can actually assist college students who wrestle fixing the proportion utilizing a scale issue.

How to teach percentage


  • College students inserting a % quantity over one other quantity in addition to 100
  • Unclear if fixing for half or entire
  • Not absolutely answering the query; college students discover the % however then don’t return and guarantee that’s what the query is asking for
  • Working with percents which might be larger than 100 can typically throw college students for a loop

You possibly can see recommendations on how to teach inequalities, proportional reasoning, ratios, and fractions/decimals/percents. What are some methods you teach half, entire, %? What different center college math ideas would you want for us to write about?

Decimals, Fractions and Percentages are simply other ways of exhibiting the identical worth:

Right here, have a play with it your self:

Instance Values

Here’s a desk of generally used values proven in P.c, Decimal and Fraction kind:

P.c Decimal Fraction
1% 0.01 1 /100
5% 0.05 1 /20
10% 0.1 1 /10
12ВЅ% 0.125 1 /8
20% 0.2 1 /5
25% 0.25 1 /4
33 1 /3 % 0.333. 1 /3
50% 0.5 1 /2
75% 0.75 3 /4
80% 0.8 4 /5
90% 0.9 9 /10
99% 0.99 99 /100
100% 1
125% 1.25 5 /4
150% 1.5 3 /2
200% 2


From P.c to Decimal

To transform from % to decimal divide by 100 and take away the % signal.

A straightforward means to divide by 100 is to transfer the decimal level 2 locations to the left:

From P.c To Decimal
transfer the decimal level 2 locations to the left

Do not forget to take away the % signal!

From Decimal to P.c

A straightforward means to multiply by 100 is to transfer the decimal level 2 locations to the fitting:

From Decimal To P.c
transfer the decimal level 2 locations to the fitting

Do not forget to add the % signal!

From Fraction to Decimal

To transform a fraction to a decimal divide the highest quantity by the underside quantity:

Instance: Convert 25 to a decimal

Divide 2 by 5: 2 Г· 5 = 0.4

Reply: 25 = 0.4

From Decimal to Fraction

Instance: To transform 0.75 to a fraction


0.75 Г— 1001 Г— 100


From Fraction to Percentage

To transform a fraction to a percentage divide the highest quantity by the underside quantity, then multiply the consequence by 100%

Instance: Convert 38 to a percentage

First divide Three by 8: Three Г· 8 = 0.375

Then multiply by 100%: 0.375 Г— 100% = 37.5%

Reply: 38 = 37.5%

From Percentage to Fraction

To transform a percentage to a fraction, first convert to a decimal (divide by 100), then use the steps for changing decimal to fractions (like above).

Instance: To transform 80% to a fraction

0.Eight Г— 101 Г— 10

The 2 movies under have to do with the fundamentals of % of change, (% of improve or lower). You’re given the preliminary and ultimate portions, and you’ve got to calculate the percentage change (% change).

The primary concept is just to write the fraction PART/TOTAL, after which convert that right into a percentage (you might presumably first want to write it as a decimal).

Within the case of percentage change, the TOTAL is the unique amount, and the PART is the precise change (distinction).

So, within the case of % of change, the generic method half/whole turns into

DIFFERENCE ORIGINAL (= decimal) = percentage

The “decimal” is in parenthesis, as a result of typically you may convert this fraction straight right into a percentage (comparable to if it occurs to be 1/Four or 1/5 or another simple fraction). However most often, you’d use a calculator and divide to get a decimal, then write the decimal as a percentage.

Instance. Joe weighed 90 kg in March and 85 kg a month later. What percentage of his weight did he lose?

The unique weight is 90 kg and the change (the distinction) is 5 kg. We get the fraction 5 kg/90 kg. In it, the models “kg” cancel out and we’re left with

5 90 ≈ 0.055555556 ≈ 5.56%

Joe misplaced 5.56% of his weight.

Within the second video, I resolve two phrase issues that contain percentage change. One hast to do with percentage improve in space. Within the different, the value of a washer is discounted by 10%, then by one other 10%, and we’re requested the overall low cost percentage – but the PRICE of the washer is NOT given!

Academics – be happy to use these issues as lesson plans!

How to teach percentage

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Percents and fractions don’t have to strike concern into the hearts of your college students. With slightly intelligent deception, you may flip working towards with percentages and fractions into enjoyable video games that your college students will each study from and luxuriate in.

Fractions Lottery

Make two units of 20 chips or tiles having the numbers 1 by means of 20 on them. You may use pennies with numbers taped on them in a pinch. Randomly drawing two chips makes a fraction; the primary quantity is the numerator and the second the denominator. Have groups race to see who can simplify the fraction first. Alternatively, have a participant from every group draw a fraction. When the groups are prepared, they current their fractions. The primary group that may inform which, if any, fraction is bigger wins a degree. One other group can problem. If they’re proper, the primary group loses a degree and so they acquire one, and vise versa if they’re unsuitable. In numerous video games, the groups can carry out operations, comparable to including or multiplying percentages.

LEGO Fractions

In the event you can nonetheless discover them, good old school LEGOs make nice studying toys for fractions. This LEGO exercise is recommended by Fundamental LEGO items are available one-bump-wide and two-bump-wide bricks. These could be one bump to six or extra bumps lengthy. In different phrases, your selections vary from a brick as small as 1×1 to a brick as massive as 2×6 or larger. Select a 2x brick of some size to be your “entire”. All smaller bricks then change into fractions that college students can add, subtract and examine. In the event you select a 2×4 brick on your entire, then a 1×1 brick is an eighth, a 2×1 is one-fourth, a 2×3 is three-quarters, a 2×2 is a half and so is a 1×4. Group items by colour, in order that three crimson 1×1 items make three-eighths.

Percentage Parks

This one has been tailored from a web based exercise obtainable on BBC’s web site. Divide the scholars into teams and provides every group a sheet of graph paper and coloured pencils. The teams will design a park that has sure prespecified percentages of water, grass, timber, playgrounds and flower beds. The teams will draw their map by coloring in squares, with completely different colours representing the water, grass and so forth. There could be multiple space that has, for instance, grass and timber, so long as the overall percentage of grass and timber is correct. Have the scholars embellish the maps, make up tales about them, and current the maps to the remainder of the category. You can even reverse this exercise. Hand out maps and have the scholars estimate what percentage of the park is water, flowers, and so on. Use actual maps too, and discover what % Texas, or another state, is of the continental U.S.

P.c and Fraction Jeopardy

Create a Jeopardy board out of a big cork board and cup hooks. Screw in cup hooks in 5 rows and 4 columns. Alongside the highest row cling placards saying “Simplify Fractions”, “Fractions and Decimals”, “Decimals and Percents”, “Percents and Fractions”. Under these, in every column, cling placards displaying factors: 50, 100, 300 and 1,000. Behind the factors placards cling query placards with questions on the entrance and solutions on the again. Make every query acceptable for the class and variety of factors. Harder questions ought to be value extra factors. Have two groups of scholars compete utilizing the foundations of Jeopardy.

  • Utilizing LEGO to Construct Math Ideas
  • BBC: KS2 Maths – Percentages
  • Fractions Decimals Percents Jeopardy Sport
  • Sigma Pi Sigma: Jeopardy Guidelines and Directions

Ariel Balter began out writing, modifying and typesetting, modified gears for a stint within the constructing trades, then returned to college and earned a PhD in physics. Since that point, Balter has been knowledgeable scientist and instructor. He has an unlimited space of experience together with cooking, natural gardening, inexperienced residing, inexperienced constructing trades and plenty of areas of science and know-how.

College students will study gross sales and marking up costs.

Educating Aims:

  • College students will study to outline a markup.
  • College students will study to calculate a markup.
  • College students will study to calculate a brand new sale value.

Advised Grades:


Educating Supplies

Lesson – Calculating Gross sales Markup Lesson (see under for printable lesson) .

What’s a gross sales mark up?
When a retailer purchases an merchandise they purchase it for a specific value. Once they promote it within the retailer, they mark up the value in order that they make a revenue.

Costs are sometimes marked up a selected percentage.

How can we calculate a gross sales mark up?
A gross sales mark up is calculated when the shop decides how a lot they need to promote a product for. Let’s take a look at an instance to higher perceive how this works.

The native nook retailer purchased fountain pens for $3.00 every. They need to promote the pens for a 15% mark up. How a lot did they promote every pen for within the retailer?

To determine this out, we wish to discover the % of a quantity. The % of a quantity is calculated utilizing multiplication. Our key phrase “of” lets us know that the operation is multiplication.

If we multiply the value that the shop purchased the merchandise for occasions the percentage, we could have the quantity that the shop goes to mark up the value.

Retailer buy value x % of mark up = quantity of mark up
Let’s do that work with the final instance.

Print out the educating lesson pages and train worksheets to be used with this lesson:

click on to go to worksheet

College students apply calculating gross sales reductions.


What’s a reduction?

Shopping for objects on sale.


Multiplication of percentages.


Second Grade – Third Grade – Fourth Grade – Fifth Grade – Six Grade

Advised Low cost Lesson Plan for this Worksheet

Teach your college students the idea of a reduction.

A low cost is when an merchandise is bought at a value lower than the common value. That is often known as on sale. For a reduction, typically a percentage of the common value, or the low cost percentage, is deducted from the common value. The cheaper price is often known as the discounted value.

When you find yourself desirous about shopping for an merchandise, it typically is sensible to wait till the merchandise is on sale, or supplied at a reduction. This fashion it can save you your cash. Some shops provide reductions daily. Nonetheless, in addition to checking the objects value, you also needs to verify the objects high quality, since there could also be a purpose you might be getting the merchandise at a reduction.

To calculate the low cost, you multiply the low cost % occasions the common value.

A e book usually sells for $10. It’s now discounted by 20%. What’s the low cost? What’s the sale value?

Common Value = $10

Step 1. Change the percentage to a decimal by dropping the percentage and shifting the decimal two locations to the left.

Step 2. Multiply the common value by the decimal from step 1. This low cost is $2.00

Step 3. Subtract the low cost from the common value. $10 – $2 = $8. The gross sales value is $8.00

Questions for dialogue:

Why is a reduction higher than paying the common value?

Why do you have to look ahead to a sale?

Why would you not look ahead to a sale?

Is it all the time a greater deal to purchase an merchandise at a reduction? What else should you think about?

WORKSHEET Directions

Have the scholars calculate the greenback low cost, or value occasions the percentage (%) low cost.

Subsequent, calculate the gross sales value, or the value much less the low cost quantity.

This part consists of steerage on how to calculate percentage values. Notice: Ensure to talk about real-life makes use of of percentages together with your baby. Good examples embrace percentage used for will increase in pay/ wages, for curiosity from financial savings at a financial institution, and for leads to exams in school.

Alternatively, would you like to save dozens of hours in time? Get your evenings and weekends again? Be absolutely ready to teach percentages to your college students from Grades Ok-8?

Be a part of in the present day and get premium math worksheets containing 10 actions and a solution key.

Observe percentage calculations with worksheets and different printables.

See how to calculate percentages with illustrated steerage and examples.

Convert between %, fractions, decimals.

Verify % and percentage calculations.

Percentage Mini-lesson

The three quick mini-lessons above are on calculating with %. Lesson #1 is an introduction to %, lesson #2 reveals how to calculate a percentage e.g. what’s 20% of 70? Lesson #Three reveals each how to discover a % e.g. What % is 25 out of 40? and in addition how to calculate the bottom e.g. If 30% of an quantity is 45, what’s the quantity?

You may also like to do this “How a lot is shaded?” goal sport for a little bit of apply with %.

Select the assets you want from both the hyperlinks above or from the highest menu choices.

Preserve the factors under in thoughts if you end up tutoring your youngsters on %. P.c is a really generally used mathematical idea in on a regular basis life and it has additionally confirmed to be a tough idea for a lot of to grasp and perceive.

Educating P.c

Instruction ought to give attention to what % is as opposed to simply taking a look at procedures and the quickest means to compute it. Equally, there ought to be a transfer away from simply imparting the information that 50% is one-half. The significance of the bottom of 100 ought to be launched early and sometimes.

The language of % is extraordinarily essential. College students want to perceive proportion and have to be in a position to categorical this understanding utilizing the language of %. They need to determine implicit referents. e.g. earlier than fixing an issue they have to ask themselves, “30% of what?”

Plenty of graphical representations ought to be used as examples to assist develop college students’ proportional reasoning abilities. These ought to use real-life examples each time doable which might be related to college students. e.g. sports activities efficiency as opposed to rates of interest.

Typical errors and their causes

The language surrounding % can typically be troublesome for college kids. It typically wants to be very exact. A really small change in wording could be related to a totally completely different kind of state of affairs and drawback. Questions are sometimes not explicitly full and college students have to infer what the query refers to. e.g. “The unemployment price is 9% .” not “The unemployment price is 9% of the working-aged inhabitants.”

The problems above trigger college students to make errors comparable to these under: