Maths Lesson 1
LI: I can solve reasoning questions involving dividing proper fractions by whole numbers.
- Building on your learning from last week using the 'keep, change, flip' method, solve written division problems.
- Use RUCSAC to identify the important information and what you will need to use in your calculation.
- Solve the problems by keeping the fraction the same, changing the division symbol into a multiplication symbol (consequently meaning that you must now turn the whole number into a fraction). Flip the created fraction round. Multiply the fractions together
Maths Lesson 2
LI: I can find fractions of an amount
In this lesson, you shall be continuing to explore how we can use fractions in Maths. Today the focus is on finding a fraction of an amount.
- Think about what this term means - fraction of an amount. What does it imply about the answer that we shall get? Will it be greater than or less than the original number?
- It will result in a smaller number as we are finding a fraction of the original number.
- To find a fraction of an amount we must use the values in the denominator and numerator to give us an answer.
- For example: Find 3/5 of 240
- For this question, we know that our answer shall be less than 240 as it is a fraction of it but that our answer will be greater than 120 as 3/5 is more than a half.
- Now we have an idea of what sort of range the answer could be we can attempt to solve it.
- To solve the question, we must first divide the whole number (240) by the denominator (5).
- This gives us an answer of 48.
- We finally multiply the answer of 48 by the numerator (3). Giving us an answer of 144.
- Practice the method with these examples before beginning your worksheet:
1) Find 1/10 of 90 2) Find 2/7 of 56 3) Find 4/9 of 72
Maths Lesson 3
LI: I can find decimal and fraction equivalents.
In your learning today, you will be linking what we have learnt in fractions with another, closely-linked, area of maths: decimals.
- If we study a fraction, it is just another way of writing division. 2/5 simple means 2 divided by 5.
- This means that for every fraction (part of a whole), there is a decimal equivalent. Remember an equivalent means the same value.
- Today you will be finding the decimal equivalent of different fractions.
- To calculate the decimal equivalent, all we need to do is complete the division in the fraction.
- For example: 2/5 means 2 divided by 5. To work this out, we will need to use our bus stop method but immediately add a decimal point and a place holding zero within the bus stop which we will carry the two to.
- This enables us to show the value after the units, into the decimal places.
- We continue to add place holding 0s until we have nothing left to carry or we have created a four-digit decimal number - at which point go no further!
Maths Lesson 4
LI: I can answer word problems involving fractions and their decimal equivalent.
Developing on yesterday's learning, you will continue to study and calculate the decimal equivalent of a fraction. However today, you shall do so through worded problems.
- Study the example below to revise the methods that you will need for your activity sheet.
Steve and Mira go apple picking. Steve collects enough apples to fill 1/2 of a basket and Mira collects enough to fill 1/3 of a basket. What fraction of a basket can they fill and what is this as a decimal?
- To complete this question, we are going to have to add the two fractions together as we are looking for the total amount.
- We must first convert the denominators into their common multiples so that they can be added together. To do this we multiply both the numerator and denominator by the same multiple (1/2 x 3 and 1/3 x 2).
- This results in 3/6 and 2/6 which we can now add together to create 5/6
- To turn this fraction into a decimal, we should divide. 5 divided by 6. Use yesterday's information to check you have done this correctly using a place holding zero after the decimal point.
Maths Lesson 5
LI: I can solve questions involving calculating decimal equivalents of fractions.
- In today's lesson you shall consolidate what you have learnt about decimal and fraction equivalents so far.
- Read over the lesson guidance from Lesson 3 and 4 to refresh the methods and then attempt to complete the worksheet.
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