Maths Lesson 1
LI: To be able to use written division method to calculate decimal remainders.
Today, we will be focusing on solving division problems that leave us with a remainder. However, we are going to use our knowledge of decimals to show the remainder in its decimal form.
What method can we use to solve division problems?
By using short division or long division through the form of bus stop we can solve division word problems.
To turn the remainders into their decimal form we must we a place holding zero like we have practiced previously. Now use the remainder as the carried number and carry it to the zero. This will begin to create a decimal remainder.
Maths Lesson 2
LI: To be able to use written division to solve division of decimal questions.
Similar to yesterday’s lesson, we will continue to practice displaying an answer to a division question in the form of a decimal rather than a remainder.
Can you think of any examples from the real world where it would be more useful to show a decimal as the remainder instead?
Read over yesterdays notes to remind yourself how to find a decimal answer to a division question.
Maths Lesson 3
LI: To be able to solve reasoning questions using written division methods
Today, you will be solving reasoning based questions which can be difficult to solve without careful consideration. Use the instructions provided below to help understand how to answer the same type of question and then attempt to apply the method yourself.
- One cup has a capacity of 215ml. One bucket has a capacity of 3.5 litres. How many cups of water are needed to fill one bucket? Give your answer as a whole number of cups.
Looking at the question the first thing we need to remember is that 3.5 litres also means 3,500 ml, After this conversion, we know that long division is a useful method to employ to solve the question.
Remember writing your times tables down the side of the page makes this easier to track and solve. This tells me that 16.2 cups are needed to fill the bucket. So knowing this, do we need exactly 16 cups or a little more than 16. If we see the remainder is a little over 16 then we’d need that 17th cup to completely fill the bucket.
Think first what we know about the question. We can use our 8 times tables to aid us.
3 _ 7 _ ÷ 8 = 396.5
First of all I can see that 3_ ÷ 8 = 3r7. This means that 8 x 3 + 7 will give us the answer to the missing number. 31. The ones is our missing number.
If we continue and try and find the last missing digit is the answer to 8 x 6 + 4 = 52.
Try this again with your own question.
3. For your third questions you must always follow the rules of BODMAS, solving the question inside the brackets first. Now you know the first part of the calculation, solve the second part of the equation. Remember that both sides should come to the same value. Whatever the difference between the two is currently will be your missing value.
LI: To be able to calculate fraction, decimal and percentage equivalents.
- Fractions, decimals and percentages are all different ways of expressing a proportion, and that a percentage is a proportion of one hundred with the % sign standing for ‘per cent’, which means ‘out of 100’.
- To convert a fraction into a decimal you need to treat it as a division question. For example: ½ = 1 ÷ 2. This will give us a decimal answer of 0.5
- To convert a decimal into a percentage, you will need to multiply the decimal by 100.
- Conversely to convert from a percentage into a decimal, you need to do the inverse, divide by 100.
- To convert from a decimal to a fraction, if the number contains two decimal places, just use the decimals as your numerator and a hundred as the denominator. If the decimal has one decimal number such as 0.1, you should use ten as your denominator instead of a hundred.
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