** DISCOUNTS AND DIVIDING BY RATIONAL NUMBERS LESSON PLAN**

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Teaching Materials

Lesson Excerpt:

**What is a discount?**

A discount is an amount of money that is subtracted from the total cost of an item. Discounts are considered our savings. Discounts can be written in fraction form or as a percentage. We will often see something like ½ off of the retail price. This is an example of a discount.

**How do we divide rational numbers?**

We divide rational numbers by following the rules for dividing fractions.

(example)

Here we changed the problem to a multiplication problem by inverting the second fraction. Then we multiplied across and simplified the final fraction.
We can also divide a rational number and a whole number.

(example)

Here we made the whole number a fraction over one. Then we changed the problem to a multiplication problem and inverted the second fraction. Finally, we were able to multiply across and our final answer is 72.

**How do we use dividing rational numbers with discounts?**

When we see a discount for one-half off of a price, we are essentially dividing that price into one-half and then subtracting the one-half from the rest of the purchase price.

Continued...

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