LESSON PLANNING SHEET Teacher Ms Faby Charles Subject Mathematics Learning Objectives(Content) Unit Title: Percentages • Express simple fractions such as one half, one quarter, three quarters and tenths and hundredths as percentages. • Find percentages of quantities. Resources Required Newspaper ad featuring the words discount and reduction, catalogue prices, mini white boards, projector, resource sheets 1-4, population statistics Class/Group Grade 6 Term/Date X Period X Relevant part of syllabus KS2 Year 6 Block E – securing number facts, calculating, identifying relationships Key/new vocabulary Fraction, per cent, percentage, equivalent, discount, reduction Homework Visit a local mall in Al-Ain to make a survey of the discounts offered. Select 8 shops. Write down the original price of one item from each shop including the discount offered. Resource sheet 4. Date due: A week later Application and relevance of this lesson to: OTHER SUBJECTS: UAE STUDIES- Demography of age structure of the population of UAE( July 2012) WORLD OUTSIDE CLASSROOM: Discount sale in shops, demography DIFFERENTIATION & EXPECTATIONS: Skills, knowledge, understanding, application etc STUDENTS’ PRIOR LEARNING: What do they already know? Students understand percentages as the number of parts in every 100. They recognize the equivalence between ½ and 0.5, ¼ and 0.25, 1/10 and 0.1, 1/100 and 0.01 and between decimal and fraction forms of other tenths and hundredths. OUTCOMES: ALL MUST BE ABLE TO Understand percentage as the number of parts in every 100 and express simple fractions as percentages. OTCOMES: MOST SHOULD BE ABLE TO Find percentages of numbers and quantities. OUTCOMES: THE MORE ABLE COULD Be able to work out a quantity as a percentage of another. Level 4c, 4b Level 5c Level 5a LEARNING ACTIVITIES (through: thinking, seeing, listening, talking, doing, reading, writing etc) Timings 5 mins Starter: Using slides on a power point revise finding one tenth of numbers such as 40, 200, 480…practice recall of simple fraction and percentage equivalents. Students record answers on mini white boards. 10 mins Teaching Component: 10 minutes MAXIMUM Explain to find 50% of a number you have to halve it, to find 25% of a number you find the quarter of it and to find what 10% of the number is you divide it by 10 Ask students to find 50% and then 25% of £100 Why is working with £100 easy? Can they do the same for £50? What is 75% of £50? Ask how you work out 10% of a number. Make sure that they all understand that it is equivalent to 1/10 and that you need to divide by 10 to find one tenth of something. Do some examples and ask students to explain how they worked them out: 10% of £20, 200 m, 140 cm, 45. If the last example were £45, what would the answer be? By knowing the decimal equivalents of the different percentages students can calculate percentages ( 99, 78%, 32% etc) of different quantities. Cross curriculum- Discuss in groups the statistics of the age structure of the total population of the UAE. Data is provided to each group. Application Explain what is meant by discount or reduction and how this can be applied to prices. Show some newspaper ads featuring these terms. Model a calculation: 25% off £50. What is the new price? Make sure the children understand that there are two steps involved; working out 25%, then subtracting this amount from the original sum. Development: What will they do? Upper ability Average/Middle ability Independent task 15 – 20 mins max Cooperative task 10 mins max Those needing more assistance Students are issued with a page from a shopping catalogue of Sharaf DG, AlAin Mall, Al-Ain, in which items are priced in dirhams. Students work together to calculate the price of items if they are reduced by 30%, 25%, 55%.They record their answers on an activity sheet Resource sheet 3 Students are issued with a page from a shopping catalogue of Marks & Spencer, Bawadi Mall, Al-Ain, in which items are priced in dirhams. Students work together to calculate the price of items if they are reduced by 25%, 75% and 20%.They record their answers on an activity sheet Resource sheet 2 Students are issued with a page from a shopping catalogue of Carrefour Markets, Al-Jimi Mall, Al-Ain, in which items are priced in dirhams. Students work together to calculate the price of items if they are reduced by 10%, 50%and 25%. They record their answers on an activity sheet Resource sheet 1 In their books students work out percentages (10%, 20%, 25%, 50%, 75%, 60%, 120%) of various numbers and quantities. Extension work- what percentage is 50 km of 100 km? 30 kg of 1000 kg? In their books students work out percentages 10%, 20%, 25%, 50%, 75%, 60%, 120%) of various numbers and quantities. In their books students work out percentages 10%, 20%, 25%, 50%) of various numbers and quantities. Plenary/review of learning: (5 minutes) Activity: 5 – 6mins Discuss the variety of percentages found. Make sure that everybody in each ability group knows how each was calculated. Include percentages of prices expressed in pounds and pence. What happens if the price is increased by 10%? … 5%? … 30%? How would they tackle these? As a follow-up, find percentages other than those that are multiples of 5; use percentages such as 97%, 23%, 11% and so on Homework is set. ACTIVITY RESOURCE SHEET 1 SPECIAL OFFER!! Al Jimi Mall Al-Ain Work out the new prices of the items below AED 85 AED 20 Discount: 50% New price: _____________ Discount: 10% New price: _____________ AED 48 Discount: 50% New price: _____________ AED 460 AED 12 Discount: 10% New price: _____________ Discount: 25% New price: _____________ ZAKHER PRIVATE SCHOOL – BRITISH DIVISION ACTIVITY RESOURCE SHEET 2 HOT SUMMER SALE!! BAWADI MALL, AL-AIN AED 100 AED 240 Discount: 20% New price: _____________ Discount: 25% New price: _____________ AED 120 AED 400 Discount: 25% New price: _____________ Discount: 75% New price: _____________ AED 60 Discount: 20% New price: _____________ ZAKHER PRIVATE SCHOOL – BRITISH DIVISION ACTIVITY RESOURCE SHEET 3 Al-Ain Mall, Al-Ain SUMMER BONANZA!! Calculate and fill in the discounted prices in the boxes below: 30% off all Xbox Games! CoD: MW3 – AED 230 FIFA 12 – AED 210 Skyrim – AED 120 Spiderman – AED 280 Lego Batman – AED 350 London 2012 – AED 180 25% off all phones! Iphone 4s – AED 2300 Nokia Lumia 920 – AED 2500 Samsumg Galaxy S – AED 700 BlackBerry Curve – AED 800 Samsung Galaxy Note – AED 1200 Blackberry Bold – AED 500 55% off consoles! Microsoft Xbox 360 – AED 1690 Nintendo DS – AED 500 Playstation 3 – AED 2300 Nintendo Wii – AED 650 Nintendo 3DS – AED 1000 ZAKHER PRIVATE SCHOOL – BRITISH DIVISION Playstation Vita – AED 2600 ACTIVITY HOMEWORK RESOURCE SHEET 4 Name the mall and the 8 shops visited. Draw one sale item from each shop in the boxes below. Write down the original price, discount offered and sale price of each item. ZAKHER PRIVATE SCHOOL – BRITISH DIVISION Age structure categorization of the total population of UAE (2012) Total population: 531317 Age Range Percentage 0 – 14 20 15 – 24 14 25 – 54 62 55 – 64 3 65 and above 1 Male 557603 440556 2497606 122356 31942 http://www.indexmundi.com/united_arab_emirates/demographics_profile.html ZAKHERPRIVATESCHOOL–BRITISHDIVISION Female 532303 301147 774318 38402 18084 Finding the fraction of a whole number Compiled by Faby Charles WALT : find calculate a fraction of a whole number Example : To find 1 of 80 10 1 of 10 80 so 80 divided by 10 equals 8 1 4 of 20 so 20 divided by 4 equals 5 1 4 of 20 20 5 4 5 Hmmm….. But you don’t Always have to write down This step. 1 3 of 15 15 5 3 5 Another example 1 4 of 12 12 3 4 3 and another example 1 7 of 21 21 3 7 3 and another example 1 6 of 30 30 5 6 5 and another example Try these with a friend Chat. Think. 1 of 110 10 11 Try these with a friend Chat. Think. 1 of 200 10 20 Try these with a friend Chat. Think. 1 6 of 18 3 Try these with a friend Chat. Think. 1 4 of 24 6 Try these with a friend Chat. Think. 1 6 of 48 8 Try these with a friend Chat. Think. 1 5 of 40 8 Try these with a friend Chat. Think. 1 3 of 27 9 Try these with a friend Chat. Think. 1 8 of 32 4 Try these with a friend Chat. Think. 1 7 of 28 4 End of this lesson
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