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Section 2: Activity. Page 1: What does 35% mean?. Section 2: Activity. Page 2: When do we use percentages (examples)?. Section 2: Activity. Page 3: Common Percentages Provide the learners with one strip of 100 beads (Copymaster 2). Ask, “How many beads are one the string in total?”
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Section 2: Activity Page 1: What does 35% mean?
Section 2: Activity Page 2: When do we use percentages (examples)?
Section 2: Activity • Page 3: Common Percentages • Provide the learners with one strip of 100 beads (Copymaster 2). • Ask, “How many beads are one the string in total?” • “What has this got to do with percentages?” • Percentages are out of 100 and this is a model of fractions out of 100. • Pose the following problems and tell the learners to label their strip as they go: • What percentage is all of something? (Label 100%) • What percentage is nothing of something? (Label 0%) • What percentage is one half of something? (Label 50%) • Find some other percentages that you know the fractions for?
Section 2: Activity • Page 5 • Finding a percentage using place value knowledge. • To find 10% is the same as dividing by 10. • When we divide be 10 the number gets 10 times smaller. The digits move one place to the right, e.g. 46 ÷ 10 = 4.6 • Use this method to find 10% of: • Find 10% of: • 80 • 75 • 136 • 589 • Find 5% of 24 100% ÷ 10 10% 1%
Section 2: Activity • Page 5 • Finding a percentage using place value knowledge. • To find 1% is the same as dividing 10% by 10. • When we divide be 10 the number gets 10 times smaller. The digits move one place to the right, e.g. 46 ÷ 10 = 4.6 • Use this method to find 10% of: • Find 1% of: • 80 • 75 • 136 • 589 • Find 3% of 24 ÷ 10 10% ÷ 10 1%
Section 2: Activity Page 6: Finding percentages of something Kegs hold 50 litres of beer. There is 10% allowance for wastage. What a shame! How much beer is wasted out of each keg?
Section 2: Activity Page 7: Practice Examples Refer to Section Three, problem examples 1 - 3, for your students to practise the ideas introduced so far. You will need to run off copies of Copymaster 4 for your students to use.
Section 2: Activity Page 8: Adding on GST The total price you pay for any item includes net price, mark up and GST. Net price is how much the shop pays for the item and the mark up is the profit the shop makes. These two parts add up to the shop price. GST is charged on top of the shop price at a rate of 15%. Net price Mark up GST 15% of shop price GST Shop price
Section 2: Activity Adding on GST GST is 15% To add on GST we can mentally workout 10% plus 5%. Look at the following example: 100% 15% 115% We can also calculate the GST inclusive price by multiplying the 200 by 1.15. 200 x 1.15 = $230 GST = $30 Item costs $200
100% 0% 90% 80% 50% 40% 60% 20% 10% 70% 30% $4.00 40c 20c Section 2: Activity Pose the following problems: Before GST is added the bottle of milk costs $4.00. How much do you pay for the milk after GST is added on? 10% 5%
Section 2: Activity Practice Examples Refer to Section Three, problem examples 4-5, for your students to practise the ideas introduced so far.
10% 20% 50% 80% 100% 0% 0 10 40 20 30 50 60 Section 3: Examples Page 1: Shopping Spree Mareea wants to buy a top that usually costs $60 The shop has a 20% off sale. How much will Mareea save? How much will she pay for the top?
Section 3: Examples Page 2: Horsing Around A horse eats about 60% of its own body weight each month. This horse weighs 550 kilograms. How much does it need to eat this month?
Section 3: Examples Page 3: Credit Crunch Warren has $1760 owing on his credit card. He pays 18% interest per month on what he owes. How much will Warren pay in interest this month if he does not pay anything off his card.
Section 3: Examples Page 4: Credit Crunch The shop price of a pair of jeans is $120. Add the GST and find out how much you pay for these jeans.
Section 3: Examples Page 5: Honest Phil’s Car Dealership The shop price of a car you want is $13,500 Honest Phil forgot to tell you about the GST. How much GST needs to be added?
Section 4: Assessment Page 1: Shoes At Shoes 4 Less there is a 25% off sale. This pair of shoes normally costs $160. How much will the shoes cost on sale?
Section 4: Assessment Page 2: Weed Spraying The instructions say that the spray should be 80% water and 20% concentrate. Your sprayer takes 5 litres of liquid. How much water should you put in before topping it up with concentrate?
Section 4: Assessment Page 3: Brakes Ralph has fixed your car brakes. The bill is $280 but GST has to be added. What will the total bill be?