What are we going to learn? CFU Students, you already know how to write numerical expressions. Now, we will write numerical expressions using exponential form. Make Connection A numerical expression is made up of numbers connected by operations. Area = l  w We will write numerical expressions using exponential form. Learning Objective Activate Prior Knowledge Write a numerical expression to represent the volume or area. 1. l w Volume = ______________________ 2. Area = _________________ 6 cm 4 in h w l Volume = l  w  h STANDARD: 7.NS1.2 Multiply and Divide Expressions Involving Exponents. STANDARD: 7.AF2.1 Simplify and Evaluate Expressions that include Exponents

Exponential form is a way to represent 1 repeated multiplication. In exponential form, the base is the repeated factor. An exponent represents the number of times a base is repeated as a factor. Units of measure can also be written in exponential form. 7 5 For the exponential form above, what is the base? What is the exponent? The base is ______. The exponent is _____. Which is equal to 5 2 ? How do you know? A 2  2  2  2  2 B 5  5 In your own words, what is exponential form? Exponential form is _____________. CFU Exponential Form 1 show Vocabulary Concept Development = 4  4  Volume of a Cube with a side length of of 4 inches: Volume = = = 4 in

Read the problem. Write the problem in exponential form. Determine 2 the base. Determine the exponent. Interpret the numerical expression. “_______ can be written as _______” Write numerical expressions using exponential form a b Exponential form is a way to represent repeated multiplication. Units of measure can also be written in exponential form. 2 figure out Vocabulary How did I/you write the problem in exponential form? CFU 2 Skill Development/Guided Practice 1. Exponential Form 3  3  3  3  3 = _______ 2. 9  9  9 = _______ 3. 2  2  2  7  7 = _________ 4. 6  6  5  5  5  5 = _________

Skill Development/Guided Practice (continued) 5. The area of a square with a side length of 16 in. 6. The area of a square with a side length of 9 ft. How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU Write expressions using exponential form. Exponential Form 7. The volume of a cube with a side length of 13 m. 8. The volume of a cube with a side length of 7 cm.

Writing numerical expressions using exponential form will help you write big numbers in a compact 3 way. Writing numerical expressions using exponential form will help you do well on tests. 1 Does anyone else have another reason why it is relevant to write numerical expressions using exponential form? (Pair- Share) Why is it relevant to write numerical expressions using exponential form? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 2 Sample Test Question: 17. Determine if the problem can be represented using exponential form. Select Yes or No for A-D. A O Yes O No B 18  18  18  18 O Yes O No C 7  7  25  25  25 O Yes O No D O Yes O No Exponential form is a way to represent repeated multiplication. Units of measure can also be written in exponential form. Relevance 3 small and short Vocabulary Earth weighs approximately 6,000,000, 000,000,000,000,000,000 pounds. That’s 6  pounds.

What did you learn today about writing numerical expressions using exponential form? (Pair-Share) Use words from the word bank. Exponential form is a way to represent repeated multiplication. Units of measure can also be written in exponential form. Skill Closure Access Common Core Summary Closure Word Bank exponent base repeated factor multiplied Read the problem. Write the problem in exponential form. Determine the base. Determine the exponent. Interpret the numerical expression. “_______ can be written as _______” Write numerical expressions using exponential form a b 1. 8  8  8  8 = _______ 2. The area of a square with a side length of 15 in. Exponential Form Write the exponential form as a product of numbers. Explain how you got your answer = _______________________________ 12  12  12  12  12  12  12 I wrote out 12 multiplied by itself 7 times.

Exponential form is a way to represent repeated multiplication. Units of measure can also be written in exponential form. Independent Practice Read the problem. Write the problem in exponential form. Determine the base. Determine the exponent. Interpret the numerical expression. “_______ can be written as _______” Write numerical expressions using exponential form a b  17  17  17 = _______ 2. 2  2  2  2  2  2  2 = _______ 3. 8  8  8  8  15  15 = _________ 4. 3  3  3  12  12  12  12 = __________ Exponential Form

Independent Practice (continued) Exponential Form 5. The area of a square with a side length of 18 cm. 6. The volume of a cube with a side length of 17 in. Write expressions using exponential form.

Periodic Review 1 Access Common Core 1. 8  8  8  8  15  15 = _______ Write numerical expressions using exponential form. Exponential Form 2. The area of a square with a side length of 12 m. 1. Determine if the problem can be represented using exponential form. Select Yes or No for A-D. A O Yes O No B 11  11  11  11 O Yes O No C 2  2  3  3  3 O Yes O No D O Yes O No 2. Determine if the problem can be represented using exponential form. Select Yes or No for A-D. A The area of O Yes O No B The volume of O Yes O No C The area of O Yes O No D The volume of O Yes O No 3 cm 5 cm 7 ft 4 in 10 m 4 m 3 m

Periodic Review 2 Access Common Core Write the exponential form as a product of numbers = ______________  19  19  19  19  19 = ______ Write numerical expressions using exponential form. Exponential Form 2. The volume of a cube with a side length of 28 in = ______________  26 3 = ______________  14 2 = ___________ in 2 = ______________ ft 3 = ________________ 4  4  4  4  4 16  16  16   13  13  13  13  26  26  26 8  8  8  14  14 5 in  5 in 17 ft  17 ft  17 ft

Periodic Review 3 Access Common Core Match the problem with its exponential form. 1. Write numerical expressions using exponential form. 2. The area of a square with a side length of 26 ft. The volume of a cube with a side length of 31 in. Exponential Form 6  6  6  23  23 6  6  6  6  6  23  23   23  23  6  6 18  18  18  18  in  18 in  18 in 7 m  7 m  7m  7m 7 cm  7 cm  7 cm  7 cm 7 4 m   in cm  23 2