Applications of Percentages

Learning Goals & Success Criteria

Percentages and money

Learning goal

By the end of the lesson I will be able to express a percentage as a fraction or decimal, find the percentage of an amount and find the original amount

Success criteria

I am able to:

· express a percentage as a fraction

· express a fraction as a percentage

· express a percentage as a decimal

· express a decimal as a percentage

· calculate the percentage of a given amount

· find the original amount given a specified percentage amount

Percentage increase and decrease

Learning goal

By the end of the lesson I will be able to calculate the percentage change between two different values and calculate the final amount after a percentage change

Success criteria

I am able to:

· calculate the percentage required to multiply by a given amount when finding a final value after a percentage change is applied to an initial value

· calculate the final value of an quantity after a percentage change is applied

· calculate the percentage change between an initial and final value

· calculate the initial value of a quantity before a percentage change is applied

Profits and discounts

Learning goal

By the end of the lesson I will be able to use rules to calculate values for profit(loss), selling price, cost price, mark-up, discount, percentage profit(loss) and percentage mark-up (discount).

Success criteria

I am able to:

· state the rule relating profit (loss), selling price and cost price

· state the rule relating mark-up (discount), selling price and marked price

· calculate profit (loss), selling price and cost price using a rule as appropriate

· calculate mark-up (discount), selling price and marked price using a rule as appropriate

· calculate percentage profit (loss)

· calculate percentage mark-up (discount)

· find the total amount given a specified percentage amount

Income and taxation

Learning goal

By the end of the lesson I will be able to use percentages to make calculations involving wages, salary, commission, gross income, net income and taxation.

Success criteria

I am able to:

· calculate an annual salary from a given pay rate

· calculate a pay rate from a given annual salary

· calculate earnings given pay rate and hour worked

· calculate gross income from net income and tax paid

· calculate net income from gross income and tax paid

· calculate tax paid from gross income and net income

· calculate an amount of commission on an amount, given a percentage

· calculate an percentage commission given an amount of commission and sales

Simple Interest

Learning goal

By the end of the lesson I will be able to calculate the simple interest on a principal amount

Success criteria

I am able to:

· state the rule for calculating simple interest

· use the simple interest rule to calculate the amount of simple interest

· use the simple interest rule to calculate the principal amount

· use the simple interest rule to calculate the rate of simple interest

· use the simple interest rule to calculate the time period

· state the rule for calculating the total amount

· calculate the total amount from principal and interest

· calculate principal from total amount and interest

· calculate the interest from total amount and principal

Victorian Curriculum

• Solve problems involving simple interest (VCMNA304)

Text Exercises