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We will write numerical expressions using exponential form.

Name. Learning Objective. We will write numerical expressions using exponential form. CFU. What are we going to learn?. Activate Prior Knowledge. l. A numerical expression is made up of numbers connected by operations. w. Area = l  w.

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We will write numerical expressions using exponential form.

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  1. Name Learning Objective We will write numerical expressions using exponential form. CFU What are we going to learn? Activate Prior Knowledge l A numerical expression is made up of numbers connected by operations. w Area = l  w Write a numerical expression to represent the volume or area. h Volume = l  w h w 6 cm l 4 in 1. 4 in 6 cm 4 in Make Connection Students, you already know how to write numerical expressions. Now, we will write numerical expressions using exponential form. Volume = __________________ 2. Area = __________________

  2. Concept Development • Exponential form is a way to represent1 repeated multiplication. • In exponential form, the baseis the repeated factor. • An exponentrepresents the number of timesa base is repeated as a factor. • Units of measure can also be written in exponential form. Exponential Form = 4  4 4 3 4 Volume of a Cube with a side length of of 4 inches: 4 in Volume = 4 in 4 in = = CFU 75 For the exponential form above, what is the base? What is the exponent? The base is ______. The exponent is _____. Which is equal to 52 ? How do you know? A 2  2  2  2  2 B 5  5 In your own words, what is exponential form? Exponential form is _____________. Vocabulary 1 show

  3. Skill Development/Guided Practice • Exponential form is a way to represent repeated multiplication. • Units of measure can also be written in exponential form. Exponential Form Write numerical expressions using exponential form. Read the problem. Write the problem in exponential form. Determine2 the base. Determine the exponent. Interpret the numerical expression. “_______ can be written as _______” 1 2 a b 1. 2. 3  3  3  3  3 = _______ 9  9  9 = _______ 3 3. 4. 2  2  2  7  7 = _________ 6  6  5  5  5  5 = _________ CFU How did I/you write the problem in exponential form? 2 figure out Vocabulary 2

  4. Skill Development/Guided Practice (continued) Write expressions using exponential form. 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. 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. 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 1 2 3 4 5

  5. Relevance • Exponential form is a way to represent repeated multiplication. • Units of measure can also be written in exponential form. Writing numerical expressions using exponential form will help you write big numbers in a compact3 way. 1 Earth weighs approximately 6,000,000, 000,000,000,000,000,000 pounds. That’s 6  1024pounds. Writing numerical expressions using exponential form will help you do well on tests. 2 Sample Test Question: 17. Determine if the problem can be represented using exponential form. Select Yes or No for A-D. A9 + 9 + 9 + 9O Yes O No B18  18  18  18O Yes O No C7  7  25  25  25O Yes O No D7 + 7 + 7 + 25 + 25 O Yes O No 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 3 small and short Vocabulary

  6. Exponential form is a way to represent repeated multiplication. • Units of measure can also be written in exponential form. Exponential Form Skill Closure Write numerical expressions using exponential form. Read the problem. Write the problem in exponential form. Determine the base. Determine the exponent. Interpret the numerical expression. “_______ can be written as _______” 1 2 a b The area of a square with a side length of 15 in. 1. 2. 8  8  8  8 = _______ 3 Access Common Core Write the exponential form as a product of numbers. Explain how you got your answer. Word Bank exponent base repeated factor multiplied 1. 127 = _________________________ ________________________________________________________ ________________________________________________________ Summary Closure What did you learn today about writing numerical expressions using exponential form? (Pair-Share) Use words from the word bank. Day 1 ____________________________________________________________ _________________________________________________________________ Day 2 ____________________________________________________________ _________________________________________________________________

  7. Name Independent Practice • Exponential form is a way to represent repeated multiplication. • Units of measure can also be written in exponential form. Exponential Form Write numerical expressions using exponential form. Read the problem. Write the problem in exponential form. Determine the base. Determine the exponent. Interpret the numerical expression. “_______ can be written as _______” 1 2 a b 1. 2. 17  17  17  17 = _______ 2  2  2  2  2  2  2 = _______ 3 3. 4. 8  8  8  8  15  15 = ________ 3  3  3  12  12  12  12 = __________ 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.

  8. Name Periodic Review 1 Write numerical expressions using exponential form. Exponential Form Access Common Core 1. Determine if the problem can be represented using exponential form. Select Yes or No for A-D. A7 + 7 + 7 + 7O Yes O No B11  11  11  11O Yes O No C2  2  3  3  3O Yes O No D5 + 5 + 5 + 13 + 13 O Yes O No 10 m The area of a square with a side length of 12 m. 1. 2. 8  8  8  8  15  15 = _______ 7ft 7 ft 3 m 4 m 7 ft 4 in 3 cm 2. Determine if the problem can be represented using exponential form. Select Yes or No for A-D. AThe area ofO Yes O No BThe volume ofO Yes O No CThe area ofO Yes O No DThe volume of O Yes O No 5 cm 4 in

  9. Name Periodic Review 2 Write numerical expressions using exponential form. Exponential Form The volume of a cube with a side length of 28 in. 1. 2. 19  19  19  19  19  19 = ______ Access Common Core 1. 45 = ______________ 2. 164 = ______________ Write the exponential form as a product of numbers. 3. 135 263 = ______________ 4. 83 142 = ___________ 5. 52 in2 = ______________ 6. 173 ft3 = ________________

  10. Name Periodic Review 3 Write numerical expressions using exponential form. Exponential Form The volume of a cube with a side length of 31 in. The area of a square with a side length of 26 ft. 1. 2. Access Common Core Match the problem with its exponential form. 6  6  6  23  23 74 m4 18  18  18  18  18 183 in3 23  23  23  6  6 65 233 18 in  18 in  18 in 185 7 cm  7 cm  7 cm  7 cm 63 232 7 m  7 m  7m  7m 74 cm4 6  6  6  6  6  23  23  23 62 233

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