### DISCOUNT AND COMMISSION MATHEMATICS LESSON PLAN AND LESSON NOTE FOR PRIMARY AND SECONDARY SCHOOLS

Monday
Meaning of Discount

Finding cost and cash price on discounted goods

Resources
Inside out
Learn
mathematics Book 6, page  125

items like; currency note Milo, biscuits, books, pencils, school bag

Meaning of Discount
Discount is a reduction in the price of an article. It is often a certain percentage of the actual price of the article.

Examples
1. A table clock cost \$200, and a 10% discount is given for paying cash. What is the cash price?

Solution

The discount = 10% of \$200 =
10    x 200= 20
100

So Cash price = original price – discount
Amount  =    \$200 –  \$20 = \$180

2. The selling price of a shirt is \$900. The trader gives 5% discount for cash. How much is the buyer paying.
Solution
The discount = 5% of \$900 = \$45

So Cash price = original price – discount amount

= \$900 – \$45 = \$855

Begin the lesson by showing them an image of a market where buying and selling is taking place, then ask them what is happening in the image.
Seat work: Inside out
Learn
mathematics Book 6, pages  125, exercise 15.1 (1a – e)

Pupils should be able to know the amount a buyer will eventually pay on a discounted good.

Inside out
Learn
mathematics Book 6, pages  125 exercise 15.1 ( 2 - 4)

Tuesday

Calculating original amount on goods with discount

Resources
Inside out
Learn
mathematics Book 6, page  125

Calculating original amount on goods with discount
Sometimes mathematical question arise in which we are given the percentage discount and discounted amount, then we asked to find the initial amount of goods
Example
1. find the actual amount of a chair if the buyer pays \$2000 and the discount is 5%
Solution
Let actual amount be x
Cash price =actual amount - discount
Discount = actual amount – cash price= x – 2000
Also
Discount =    x actual amount
100
Therefore
x – 2000 = 5x
100
100x – 200000= 5x
95x = 200000
x = 2105
Actual amount = \$2,105

Start the lesson by writing a simple equation on the board and ask pupils to find the subject of formula

Inside out
mathematics Book 6, page 127   exercise 15.2 (1 – 5)

Pupils should be able to calculate the actual amount of goods.
Inside out  mathematics Book 6, exercise 15.1  pages 125 (5 &6)

Wednesday

Meaning of Commission

Finding amount received on commissioned goods

Resources
Inside out
Learn
mathematics Book 6, page  126

Meaning of Commission
Commission is a sum of money paid to a salesperson for every sales that he or she makes.
Producers, manufacturers, businessmen, traders and so on often employ sales representatives to sell and promote their goods for them.

Examples
1. A salesman sold goods worth \$5000. He was given 15% commission. How much did he get in cash?
Solution
The value of the goods = \$5000
Percentage on commission = 15%
Commission in cash = 15% of \$5000
= 15   x   5000   =   750                            100

2. An agent was given a commission of 40%. If he sells a good worth #80,000, what is his commission?

Solution
The price of goods is = \$80,000
Percentage on commission = 40
commission in cash
= 40  x 80000 =   32000                            100

Begin the lesson by doing the first example for them.
inside out mathematics book 6
page 126
exercise 15.2 (1-4)

Pupils should be able to calculate the commission a sales agent will received on selling certain amounts of goods
inside out mathematics book 6
page 125 exercise 15.2
(5 – 7)

Thursday
Finding the percentage of commission on a goods item sold.

Resources
inside out mathematics book 6
page 126
Finding the percentage of commission on a goods item sold.

Example
Find the percentage commission earned if a \$200 commission was received on goods worth \$2000
Solution
Let x be the percentage
X         x 2000 = 200
100
X = 20000   = 10
2000

Percentage on commission equals 10%

Begin the lesson by writing a simple equation on the board and ask pupils to find the subject of formula
Inside out mathematics book 6
page 125 exercise 15.2 (8-10)

Pupils should be able to calculate the percentage commission on goods sold.
inside out mathematics book 6
page 125 exercise 14.5
16 to 20

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