Percentages Today you will need …… Orange Books Calculator Pen Week 9 Today you will need …… Orange Books Calculator Pen Complete your tracking sheet to evaluate your skills before the lesson

What you need to know E3 –L2 Calculate percentages of quantities or measures. Calculate percentage increases and decreases Read, write, order and compare common fractions, including mixed numbers, decimals with up to three decimal places and percentages. Understand that fractions, decimals and percentages are different ways of expressing the same thing. Identify equivalences between fractions, decimals and percentages. Calculating one number as a percentage of another. Using formula to calculate percentage difference. Applying percentage knowledge along with decimal understanding to use a calculator effectively.

Percentage, convert, increase, decrease, difference What will you learn today? (something you did not know yesterday) By the end of this session I will be able to… Find a percentage of a number Convert between percentages, fractions & decimals Calculate one number as a percentage of another Calculate percentage increase and decrease Calculate percentage difference Percentage, convert, increase, decrease, difference Key Words

“Divide by 100, times by the percentage” Skills Demonstration – Percentage of a number Find 30% of 50 50 ÷ 100 x 30 = 15 “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 ………….

Skills Demonstration – percentage increase The coat costs £80.00 from the supplier. You have to increase this 15% to find the selling price. Find 15% of £80 80 100 x 15 = £12 Add on the result 80 + 12 = £92

Skills Demonstration – percentage decrease Your student card entitles you to a 15% discount on a computer game usually costing £49.99 Find 15% of £49.99 49.99 100 x 15 = £7.50 Take away the result 49.99 – 7.50 = £42.49

Skills Demonstration – One number as a percentage of another A student has attended 6 out of 9 possible maths lessons so far this year. What is this as a percentage? 6 9 x 100 = 66.7%

– 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 ……………………

Skills Demonstration – percentage difference Last week a hairstylist had 15 customers, this week they had 18. What is the percentage difference? Find the difference 18 – 15 = 3 𝐷𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙 x 100 3 15 x 100 = 20%

Skills Demonstration – increase & decrease

Task

Skills Demonstration – Converting between Decimal ÷ 100 X 100 Top ÷ bottom Percentage Fraction % 100 (then simplify) Top ÷ bottom x 100

Skills Demonstration – Converting between Convert 15% to a fraction ………………… Convert 2 5 to percentage ………………… Convert 17% a decimal …………………… Convert 0.6 to a fraction ………………. Convert 7 8 to a decimal ……………………

Individual Study Choose which areas to develop depending on your own strengths and areas identified from your diagnostic Computers available

Reflection of the lesson 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?