Fractions & Percentages Week 3 Today you will need …… Orange Books Calculator Maths Kit Complete your tracking sheet to evaluate your skills before the lesson

What will you learn today What will you learn today? (something you did not know yesterday) By the end of this session I will be able to… Find a fraction of a number Identify equivalent fractions Write one number as a fraction of another Find a percentage of a number Calculate one number as a percentage of another Convert between D, F, & P Numerator, Denominator, Simplify, Expand, Percentage, convert, increase, decrease, difference Key Words

2 5 = Fractions Explained The numerator The proportion of the whole The denominator the whole

Learn the skill – Finding a fraction of a number Find 2 5 of 50 50 ÷ 5 x 2 = 20 “Divide by bottom, times by the top”

Try the skill – Fraction of a number 12 Find 2 9 of 54 ………………… Find 2 5 of 70 ………………… Find 6 7 of 56 …………………… Find 4 9 of 81 ………………. Find 5 8 of 16 …………………… 28 48 36 10

Why is he laughing? https://www.youtube.com/watch?v=Fkqg6HE888A

Learn the skill – equivalent fractions 4 16 2 8 1 4 = =

Try the skill – write these fraction in their most simple form 6 12 = ÷ 6 1 2 3 6 = ÷ 3 40 50 = ÷ 10 1 2 4 5 6 18 = ÷ 2 ÷ 3 3 9 = 1 3

Learn the skill – One number as a fraction of another “75 out of 85 students passed their maths exam” 75 85 The proportion in question The whole amount ÷ 5 75 85 15 17 = ÷ 5

Percentages Explained 0% 25% 50% 75% 100% Nothing Half The Amount The Whole Amount 1%

“Divide by 100, times by the percentage” Skills Demonstration – Percentage of a number Find 40% of 50 50 ÷ 100 x 40 = 20 “Divide by 100, times by the percentage”

– Percentage of a number Skills Demonstration – Percentage of a number Find 15% of £62 ………………… Find 25% of 140m ……………… Find 72% of £50 ………………… Find 59% of £250 ………………. Find 17.5% of £7.99 …………. £9.30 35m £36 £147.50 £1.40

Skills Demonstration – One number as a percentage of another A student has attended 29 out of 36 possible maths lessons last year. What was their attendance percentage? 29 36 x 100 = 80.6% Means to divide

– One number as a percentage of another Skills Demonstration – One number as a percentage of another 139 out of 140 ……………… 67 out of 90 ………………… 7 out of 25 …………………… 45 out of 75 ………………… 28 out of 45 …………………… 99.2% Round to 1 decimal place 74.4% 28% 60% 62.2%

Converting between decimals, percentage and fraction ÷ 100 X 100 Top ÷ bottom Percentage Fraction % 100 (then simplify) Top ÷ bottom x 100

Please don’t write on sheets Independent practice Choose which areas to develop depending on your own strengths and areas for development. Diagnostic results green? Aim higher and stretch your skills Please don’t write on sheets

Reflection of the lesson Now how do you know feel about todays topic What did you learn new today? What are your next steps? How are you going to remember it?