# Lesson 6

Find That Factor

• Let’s calculate factors that scale numbers.

### 6.1: Multiplication and Division

Here are some multiplication and division equations. Write the missing pieces. The first one is completed, as an example.

1. $$6 \div 2 = 3$$ and $$2 \boldcdot 3 = 6$$
2. $$20 \div 4 = 5$$ and $$\underline{\hspace{.5in}}$$
3. $$\underline{\hspace{.5in}}$$ and $$1.5 \boldcdot 12 = 18$$
4. $$9 \div \frac14 = 36$$ and $$\underline{\hspace{.5in}}$$
5. $$12 \div 15 = \underline{\hspace{.5in}}$$ and $$\underline{\hspace{.5in}}$$
6. $$a \div b = c$$ and $$\underline{\hspace{.5in}}$$

### 6.2: Scaling Segments

For each question, the length of the second segment (on the right) is some fraction of the length of the first segment (on the left). Complete the division and multiplication equations that relate the lengths of the segments.

$$7 \div 14 = \frac12$$

$$14 \boldcdot \frac12 = 7$$

$$\boxed{\phantom{33}} \div \boxed{\phantom{33}} = 3$$

$$\boxed{\phantom{33}} \boldcdot \boxed{\phantom{33}} = 12$$

$$8 \div 12 = \boxed{\phantom{33}}$$

$$12 \boldcdot \boxed{\phantom{33}}=8$$

$$\boxed{\phantom{33}} \div \boxed{\phantom{33}}=\boxed{\phantom{33}}$$

$$\boxed{\phantom{33}} \boldcdot \boxed{\phantom{33}}=\boxed{\phantom{33}}$$

$$\boxed{\phantom{33}} \div \boxed{\phantom{33}}=\boxed{\phantom{33}}$$

$$\boxed{\phantom{33}} \boldcdot \boxed{\phantom{33}}=\boxed{\phantom{33}}$$

$$\boxed{\phantom{33}} \div \boxed{\phantom{33}}=\boxed{\phantom{33}}$$

$$\boxed{\phantom{33}} \boldcdot \boxed{\phantom{33}}=\boxed{\phantom{33}}$$

### 6.3: Medicine Wears Off

Some different medications were given to patients in a clinical trial, and the amount of medication remaining in the patient’s bloodstream was measured every hour for the first three hours after the medicine was given. Here are graphs representing these measurements.