Exponents Exploration

Exponents Exploration

In the chat, explain the definition of an exponent. You may use the image to explain.

​

​Definition of an exponent.

Draw

Create an exponent problem below and solve. Keep it simple.

​Exponential Form vs Expanded Form

​Compare column 1 with column 3. Describe any pattern(s) you see.

Describe a way to find the exponents in column 3 without having to use expanded form. Write your strategy.

​

Groups of Three

Draw

1. Complete table below.

2. Use last two rows to write your example.

3. Compare column 1 with column 3. Describe any pattern(s).

4. Describe a way to find the exponents in column 3 without expanded form.

Let's see what strategy we have for multiplying exponents with the same base.

​

Class Discussion

​Note:

Add the exponents and keep the same base.

​

Multiplying Exponents with the Same Base

Compare columns 1 and 3.

Describe any pattern(s) you see.

Describe a way to find the exponents in column 3 without having to use expanded form.

Product of Exponents to a Power

Draw

1. Complete first two rows.

2. Use last two rows to write your example.

3. Compare column 1 with column 3. Describe any pattern(s).

4. Describe a way to find the exponents in column 3 without expanded form.

Let's see what strategy we have for product of exponents to a power.

​

Class Discussion

​Note:

Multiply the exponents and keep the same base.

​

Product of Exponents to a Power

Compare columns 1 and 3.

Describe any pattern(s) you see.

Describe a way to find the exponents in column 3 without having to use expanded form.

Dividing Exponents

with the Same Base

Draw

1. Complete first two rows.

2. Use last two rows to write your example.

3. Compare column 1 with column 3. Describe any pattern(s).

4. Describe a way to find the exponents in column 3 without expanded form.

Let's see what strategy we have for dividing exponents with the same base.

​

Class Discussion

​Note:

Subtract the exponents and keep the same base.

​

Dividing Exponents with the Same Base

Compare columns 1 and 3.

Describe any pattern(s) you see.

Describe a way to find the exponents in column 3 without having to use expanded form.

Negative Exponents

Draw

1. Complete tables by filling in missing values.

2. What do you notice about the exponent zero?

4. What do you notice about the negative exponents?

Let's see what strategy we have for zero exponents and negative exponents.

​

Class Discussion

​Note:

Any base to the zero power equals 1.

​

Zero Exponents

​Note:

Negative exponents give equal a fraction.

​

Negative Exponents

Open Ended

Give me one plus and one minus about today's lesson.

Exploration Activity Complete