Includes the following subjects: Probability, Formulae and Equations, Ratio and Proportion, Fractions of Quantities and Percentages of Quantities. As well as a short film and some interesting games. This is perfect for consolidating KS2 tricky bits and getting ready for KS3.
Proportion and its types, mathematics 8Nazish Jamali
After this presentation students will be able to
Define proportion
Define types of proportion
Define compound proportion
+ Exercises
After this presentation students will be able to
Define proportion
Define types of proportion
Define compound proportion
+ Exercises
Proportion and its types, mathematics 8Nazish Jamali
After this presentation students will be able to
Define proportion
Define types of proportion
Define compound proportion
+ Exercises
After this presentation students will be able to
Define proportion
Define types of proportion
Define compound proportion
+ Exercises
quantitative aptitude, maths
applicable to
Common Aptitude Test (CAT)
Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defence Competitive Exams
L.I.C/ G. I.C Competitive Exams
Railway Competitive Exam
University Grants Commission (UGC)
Career Aptitude Test (IT Companies) and etc.
quantitative aptitude, maths
applicable to
Common Aptitude Test (CAT)
Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defence Competitive Exams
L.I.C/ G. I.C Competitive Exams
Railway Competitive Exam
University Grants Commission (UGC)
Career Aptitude Test (IT Companies) and etc.
Bio statistics 2 /certified fixed orthodontic courses by Indian dental academy Indian dental academy
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Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
2. How to Express it... There are two main methods of expressing probability: Probabilities are most commonly shown as fractions: The probability of getting 'tails' when you toss a coin is a 1 in 2 chance, or1/2 The probability of getting a 3 when you roll a dice is a 1 in 6 chance, or 1/6 Probabilities can also be shown as decimals or percentages: A probability of 1/2 can also be shown as 0.5 or 50% A probability of 3/4 can also be shown as 0.75 or 75% The results of an experiment can give different probabilities to those you expect. If you throw a dice 6 times, you would expect to get one six as the probability of throwing a six is 1 in 6. But in fact you might get more than one six or no sixes at all!
3. Scales... Probability scales Probabilities can be shown on a scale between 0 (impossible) and 1 (certain). For example, imagine a shopping bag contains three bananas and nothing else: The probability of reaching into the bag and pulling out a banana is 1 (certain), as there is nothing else in the bag. The probability of reaching into the bag and pulling out an apple is 0 (impossible), as there are no apples in the bag.
4. Working it all out... Working out probability Work out the probability of throwing an even number on a dice. Count up the total number of possible results.When throwing a dice, for example, there are 6 possible numbers the dice can land on (1, 2 ,3 ,4, 5, 6). Then count up the number of results you are interested in.In this example, you are only interested in throwing a 2, 4 or 6 (all the even numbers on a dice). So you are interested in 3 numbers. The probability of getting an even number on a dice is 3 chances out of 6 chances which you write as 3/6.3/6 is the same as 1/2 which can also be expressed as 'half', 0.5 or 50%.
6. Function Machines... Function machines have three parts. You may have questions which ask you to find the numbers coming in and out of the machine, or even the missing function. If you are asked which number goes into the machine, you will need to know the inverse function: The opposite of adding is subtracting, The opposite of multiplying is dividing et cetera. Some functions may have more than one operation. Just put a number in and carry out the operations in order: For example: (6x2)-3=9. Top Tip!
7. Formulae and Equations... You need to work out what the symbol or letter stands for every time. Use numbers to help you, and say it as a sentence: “What added to 2 makes 6?” etc. If you are finding it difficult to work out the value of a letters write it out again using a box instead of a letter. You can them try different numbers un the box to see if the equation works. Eg. 3t-1=14 Add the one, (do the opposite.) Divide the number by three, to get what one ‘t’ equals. A number before a letter or a symbol indicates how many of them are there. If just one is there, no numbers will appear. Remember!
8. Tricky Equations... If it is a complicated equation, you may need to work it out step my step. 4y+3=15 Do the opposite! Minus the three from the fifteen. You now have twelve, what do you do now? Divide this by 4 to find one y- SIMPLE! Simples!
10. Direct Proportion... Understanding direct proportion Two quantities are in direct proportion when they increase or decrease in the same ratio. For example you could increase something by doubling it or decrease it by halving.If we look at the example of mixing paint the ratio is 3 pots blue to 1 pot white, or 3:1. But this amount of paint will only decorate two walls of a room. What if you wanted to decorate the whole room, four walls? You have to double the amount of paint and increase it in the same ratio.If we double the amount of blue paint we need 6 pots.If we double the amount of white paint we need 2 pots. Look at this graph: Two quantities which are in direct proportion will always produce a graph where all the points can be joined to form a straight line.
11. Using it... Using direct proportion Understanding proportion can help in making all kinds of calculations. It helps you work out the value or amount of quantities either bigger or smaller than the one about which you have information. Here are some examples: Example 1: If you know the cost of 3 packets of batteries is £6.00, can you work out the cost of 5 packets?To solve this problem we need to know the cost of 1 packet.If three packets cost £6.00, then you divide £6.00 by 3 to find the price of 1 packet. (6 ÷ 3 = 2)Now you know that they cost £2.00 each, to work out the cost of 5 packets you multiply £2.00 by 5. (2 x 5 = 10)So, 5 packets of batteries cost £10.00 Example 2: You've invited friends round for a pizza supper. You already have the toppings, so just need to make the pizza base. Looking in the recipe book you notice that the quantities given in the recipe are for 2 people and you need to cook for 5! Pizza base - to serve 2 people: 100 g flour 60 ml water 4 g yeast 20 ml milk pinch of salt The trick here is to divide all the amounts by 2 to give you the quantities for 1 serving. Then multiply the amounts by the number stated in the question, 5. For 1 serving, divide by 2: 100 g ÷ 2 = 50 g 60 ml ÷ 2 = 30 ml 4 g ÷ 2 = 2 g 20 ml ÷ 2 = 10 ml For 5 servings, multiply by 5: 50 g x 5 = 250 g 30 ml x 5 = 150 ml 2 g x 5 = 10 g 10 ml x 5 = 50 ml
12. Simplifying Ratios... Simplifying ratios We can often make the numbers in ratios smaller so that they are easier to compare. You do this by dividing each side of the ratio by the same number, the highest common factor. This is called simplifying. Example: In a club the ratio of female to male members is 12:18 Both 12 and 18 can be divided by 2. 12 ÷ 2 = 6 18 ÷ 2 = 9So a simpler way of saying 12:18 is 6:9. To make the ratio simpler again, we can divide both 6 and 9 by 3 6 ÷ 3 = 2 9 ÷ 3 = 3 So a simplest way of saying 12:18 is 2:3. These are all equivalent ratios, they are in the same proportion. All these ratios mean that for every 2 female members in the club there are 3 males: 12:18 6:9 2:32:3 is easier to understand than 12:18!
13. Quick Tips! Tips for ratio and proportion sums Ratio can be used to solve many different problems, for example recipes, scale drawing and map work. Changing a ratio A common test question will ask you to change a ratio - the reverse of cancelling down. Example: A map scale is 1 : 25 000. On the map the distance between two shopping centres is 4 cm. What is the actual distance between the shopping centres? Give your answer in km. A scale of 1 : 25 000 means that everything in real life is 25 000 times bigger than on the map.So 4 cm on the map is the same as 4 x 25 000 = 100 000 cm in real life.(Reminder 1 m = 100 cm and 1 km = 1 000 m)Now change the real life distance of 100 000 cm to metres100 000 ÷ 100 = 1 000 mAnd 1 000 m is the same as 1 km.So the shopping centres are 1 km apart.
14. Quick Tips! Keeping things in order When working with ratios keep both the words and the numbers in the same order as they are given in the question. Example: Share a prize of £20.00 between Dave and Adam in the ratio 3:2. The trick with this type of question is to add together the numbers in the ratio to find how many parts there are, divide by the number of parts to find the value of 1 part, then multiply by the number of parts you want to calculate. First add together the number of parts in the ratio: 3 + 2 = 5 Divide to find out how much 1 part will be: £20.00 ÷ 5 = £4.00 To find Dave's share multiply £4.00 x 3 = £12.00 Adam's share is £4.00 x 2 = £8.00 Dave's £12.00 is of £20.00 (3 of 5 parts). Adam's £8.00 is of £20.00 (2 of 5 parts). You can check that you have worked out the ratio correctly by adding the shares together. In this sum Dave's and Adam's shares should equal £20.00Let's check: £12.00 + £8.00= £20.00 Correct!
15. Quick Tips! Use the same units Always check that the things you are comparing are measured in the same units. Example: Jenna has 75 pence. Hayley has £1.50 What is the ratio of Jenna's money to Hayley's?. In this problem one amount is in pence, the other in pounds. Before you calculate the ratio you have to make sure they are the same units. We have to convert Hayley's amount into pence first. There are 100 pence to a pound Hayley's £1.50 = 150 pence So the ratio is 75 : 150You can simplify this ratio as both numbers are divisible by 75. The ratio is 1:2.
18. Finding Fraction Parts... What if four people want to share a box of 24 chocolates? A practical way would be for each person to take it in turns to choose a chocolate, until all the sweets have gone. They would have six chocolates each. You could also find the answer by working out a quarter of the total number of chocolates. of 24 is easy to do, just divide 24 by 4. 24 ÷ 4 = 6. So the answer is six chocolates. Similarly if three people wanted to share 24 chocolates you could find the answer by working out a third. In this case you would divide by 3. 24 ÷ 3 = 8 So the answer is eight chocolates. Example £50 has been won in a pub quiz. Five people were in the team. How much does each person get? Find a of £50 by dividing by 5. 50 ÷ 5 = 10 So each person gets £10.
19. Fraction Problems... You can use unit fractions to help you solve harder problems:Find of a box of 24 chocolates. It is easy to do this if you think of the sum as 3 lots of of the chocolates. First find of 24: 24 ÷ 4 = 6 Then multiply the answer by 3: 3 x 6 = 18 So the answer is 18 chocolates. Find of a box of 24 chocolates. Think of this as 2 lots of the chocolates. First find of 24: 24 ÷ 3 = 8 Then multiply the answer by 2: 2 x 8 = 16 So the answer is 16 chocolates. These questions look easy, as long as you can see what numbers to divide and multiply by. You do this by looking at the fraction you want. The bottom number (denominator) is the dividing number and the top number (numerator) is the multiplying number.
21. You can use the fraction method! Remember that percentages are always out of one hundred. So 50& is the same as 50/100, and 27% is the same as 27/100- they’re all the same! If you wanted to find out 27% of 250, you’d do this: Divide 250 by 100, to find one percent, or 1/100. (2.5) Multiply this by 27, to find the percentage you want. (67.5) It’s that easy!
22. GAMES Test your knowledge by playing these challenging games. Probability. Ratio and Proportion. Percentages. Fractions.