Lesson: Exponents

5374 Views
171 Downloads
11 Favorites

Lesson Objective

SWBAT evaluate and use exponents in problem solving

Lesson Plan

Standard

6.NSO-C.15 apply laws of exponents to multiply whole numbers with like bases

Objective

Essential Question

SWBAT evaluate and use exponents in problem solving

How are exponents and multiplication similar?

     

 

Lesson Agenda

Agenda Item/ Time (Board Configuration)

 5 E’s

Learning Activities

 

 

Teacher will do…

Students will do …

10 min

Daily Math Review (Warm-Up/ Do Now)

1. 3 x 3 x 3=

2. 12 x 12 =

3. 4 x 4 x 4=

4. (2 x 2 x 2 x 2) ÷ ( 2 x 2 x 2)=

Take out homework and complete the DO NOW

5 min

Math Vocabulary

Exponent: a number that shows how many times a base is used as a factor

Power: any expression in the form a^n. also used to refer to the exponent.

Base: the repeated factor of a number written in exponential form.

Take notes and give an example/non example of each

15 min

Explore (Conceptual Development)

Just as multiplication is repeated addition, raising a number to a power is a mathematical operation. It is repeated multiplication. Since this operation is an extension of a basic operation, multiplication, its’ higher order of operations.

In the order of operations after you do all operations within parenthesis you evaluate any terms with exponents

Steps to write repeated multiplication in exponential form.

1. count number of times base is multiplied

2. Place this number (exponent) above the base

Ex 1: 3 x 3 x 3 =          12 x 12 =

 

Steps to  multiply exponents with the same base:

Step 1: keep the base the same

Step 2: Add the exponents

 

Ex 2: 2^3 x 2^4       3^5 x  3^7

 

Steps to divide exponents with the same base:

Step 1: keep the base the same

Step 2: subtract the exponents

 

Ex 3: 5^7 ÷ 5^3             7^8  ÷ 7^5

Actively listening and taking notes

Why do you add for multiplication and subtract for division?

Write out the exponential equation in example 2 and example 3:

2x2x2  x  2x2x2x2 = 2^7 which is the same as if you would have just added the exponents

 

5x5x5x5x5x5x5

     5x5x5

If you eliminate the ones that are the same on the top and bottom you will get 5^4

 

Or since division is the inverse of multiplication:

5^7 ÷ 5^3 = 5^4, since 5^7 = 5^3 x 5^4

 

 

1o min

Explain

(Guided Practice)

Explain why the rules for multiplying and dividing exponents with like terms works:

Why do you add for multiplication and subtract for division?

Write out the exponential equation in example 2 and example 3:

2x2x2  x  2x2x2x2 = 2^7 which is the same as if you would have just added the exponents

 

5x5x5x5x5x5x5

     5x5x5

If you eliminate the ones that are the same on the top and bottom you will get 5^4

 

Or since division is the inverse of multiplication:

5^7 ÷ 5^3 = 5^4, since 5^7 = 5^3 x 5^4

 

 

Actively listening and taking notes

15 min

Extend (Independent Practice)

Give students 10 minutes to solve 10 problems then cold call or preselect students give their answer for the 10 questions

If students agree with the answer being given they should give a thumbs up. If they disagree with the answer being given they should give a thumbs down.

10 min

Evaluate

(Assessment/ Closure)

Write the following in exponential form:

a. 4x4x4x4x4      b. 12x12x12x12x12x12x12x12

 

Solve the following: (leave in exponential form if possible)

a. 4^3  x 4^2                  b. 2^5 ÷ 2^ 3

 

c. 2^ 3 x 4^2                  d. 4^3 ÷ 2^4

Students will complete problems 60-62 on page 135 and attempt problem 63 for extra credit if they have time

Homework

Re-teaching 2-1 in math workbook

Core
Vocabulary

exponent, power, base

Lesson
Differentiation

Check students understanding throughout lesson and make sure to check on those students that seemed to be having difficulty during guided practice.

For those that mastered understanding have them create their own quiz and solve the problems

Lesson Resources

6 NSO C 15exponents   Classwork
2,420
6 nsoc15   Review
1,006
6 NSOexponenets   Review
1,061

Comments


Cancel
No comments at this time.
Add Comment

Close

Something went wrong. See details for more info
Nothing to upload
details
close