Exponents tell us how many times a number (called a base) is multiplied by itself. A base with an exponent is “raised to a power (the exponent).” We can show repeated multiplication in a shorter form by using exponents. Any base raised to the first power equals itself. Any base raised to the zero power is one. Any base raised to a negative exponent has a value less than one, and your answer will be a fraction or decimal. When in doubt about how to apply an exponent, write the expression out in expanded form and simplify.

### Monday, October 2

Common Core Standards and Extended Standards

8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large and very small quantities, and to express how many times as much one is than the other.

Students Objectives

I can apply the product of powers property of exponents.

Bellwork

Students will complete *Math Minute 17*.

Exponents pre-assessment “discussion” in Schoology

Lesson (Introduction to Exponents/Exponent Rule: Product of Powers)

1. Generate interest:

Students will respond to question using Poll Everywhere and cell phones.

2. Journal entry, direct instruction, demonstration with examples:

3. Guided practice: multiplication property of exponents bingo and product of powers worksheet

4. Independent online practice: IXL F.8 multiplication with exponents

5. Back to basics practice: place value and rounding…Teacher will also share the “arithmetic” links folder in Schoology.

6. Pass back real numbers test, go over correct answers, and discuss retakes if needed.

7. Partner/Small Group practice: multiplication with exponents task cards

8. Independent practice: product of powers worksheet and IXL module 2 to-do list

Closing

multiplication property of exponents exit ticket

Homework

Complete the “Product of Powers Property” worksheet. On Friday, there will be a quiz over exponent properties.

### Tuesday, October 3

Common Core Standards and Extended Standards

8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large and very small quantities, and to express how many times as much one is than the other.

Student Objectives

I can apply the quotient of a power property of exponents.

I can apply the product of powers property of exponents.

I can apply the zero power of exponents.

I can raise an exponent to the first power.

Bellwork

Students will complete *Math Minute 19*.

Lesson (Exponent Rule: Quotient of Powers/Power of 1/Zero Power)

1. Generate interest:

Students will respond to question using Poll Everywhere and cell phones.

2. Journal entry and direct instruction: zero rule, power of 1, quotient of powers rule with examples

3. Video: BrainPop video

4. Guided practice with dry erase boards and markers

5. Product and Quotient of Powers Roll the Dice stations

6. Exponent Rules Task Cards with QR codes

7. Chromebooks-exponents links on teacher web page

Closing

Journal entry/exit ticket: product of powers and quotient of powers problems

Homework

Complete the “Quotient of Powers Property” worksheet.

### Wednesday, October 4

Common Core Standards and Extended Standards

8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large and very small quantities, and to express how many times as much one is than the other.

Students Objectives

I can apply the product of powers and power to a powers properties of exponents.

I can apply the zero rule.

I can raise a base to the first power.

Bellwork

Students will complete *Math Minute 20*.

Lesson (Exponent Rules: Product of Powers and Quotient of Powers Rules)

1. Go over homework.

2. Review zero rule, power of 1, product of powers, and quotient of powers rules.

3. Guided practice with dry erase boards and Poll Everywhere to submit answers

4. Finish product of powers and quotient of powers “Roll the Dice” stations.

5. Exponent rules task cards with QR codes (Footloose game format)

6. Independent practice and blended learning with Chromebooks: IXL module 2 to-do list, exponents links on teacher webpage, back to basics: adding and subtracting decimals practice, real numbers test retakes, missing work

Closing

exponent rules exit “ticket” (journal entry)

Homework

Complete the multiplication with exponents practice sheet.

### Thursday, October 5

8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large and very small quantities, and to express how many times as much one is than the other.

Students Objectives

I can apply the power to a power property of exponents.

Bellwork

Students will complete *Math Minute 21*.

Lesson (Exponent Rule: Power to a Power)

1. Generate interest:

Students will respond to question using Poll Everywhere and cell phones.

2. Journal entry and direct instruction:

3. Guided practice using IXL (limited # of practice items and then membership required)

4. Guided practice using “Power of a Power” worksheet examples

5. Footloose game-competitive teamwork with exponent rules task cards

Closing

Journal entry/exit ticket:

Homework

Complete the “Power of a Power Property” worksheet. You will need a sheet of poster paper on Wednesday.

Links

Check out my exponents links page. Just type “exponents” in the search box on any page.

### Friday, October 6

8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large and very small quantities, and to express how many times as much one is than the other.

Student Objectives

I can apply the “rule” of negative exponents.

I can apply the properties of exponents.

Bellwork

Students will complete *Math Minute 22*.

Lesson (Negative Exponents)

1. Go over homework.

2. Review properties of exponents

3. Review rule for negative exponents

Essential Idea: A negative exponent shows how many times** to divide** by the base. A positive exponent shows how many times to multiply by the base.

4. Video:

5. Guided practice with dry erase boards, markers, Smartboard and problems from Math is Fun

6. Footloose-competitive teamwork with negative exponents task cards

7. Independent practice and blended learning with Chromebooks: IXL module 2 to-do list

8. Independent practice: negative exponents worksheet.

Closing

Journal entry/exit ticket: 2 negative exponents problems

Homework

Complete the “Negative Exponents” worksheet. On Wednesday, you will have a quiz over exponents.