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Math Journal 8-20 I make 3 pizzas for my family for dinner. Each pizza is cut into 8 slices. They eat ¾ of all of them. How many slices did they eat? How many slices of left over pizza do I have left?

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UNIT 1 DAY 8: VERBAL MODELING Essential Questions: How do we translate between words and algebra?

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Vocabulary Numerical Expression: may contain only constants and/or operations. Algebraic Expression: may contain variables, constants, and/or operations.

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Math Keywords + x Plus, sum, increased by, total, more than, combine, altogether Minus, difference, less than, decreased, take away (from), how many more Times, product, multiplied by, by, of, twice, doubled Divided by, quotient, separate, go into, half, equal parts

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Example 1 Give two ways to write each algebraic expression in words. 1)x + 32)m - 7 the sum of x and 3 x increased by 3 the difference of m and 7 7 less than m

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Example 2 Give two ways to write each algebraic expression in words. 1)2 y2)k ÷ 5 2 times y the product of 2 and y k divided by 5 the quotient of k and 5

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Check for Understanding 4 divided by n the quotient of 4 and n a the sum of 4 and n 4 increased by n n decreased by 4 4 less than n 4 decreased by n n less than 4 1. Give two ways to write the algebraic expression 4 - n in words. bcd

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Check for Understanding t is subtracted from 5 t less than 5 a the quotient of t and 5 t divided by 5 the quotient of 5 and t 5 divided by t the product of t and 5 t times 5 2. Give two ways to write the algebraic expression in words. bcd t 5

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Check for Understanding the sum of 9 and q q added to 9 a 9 decreased by q q less than 9 9 times q the product of 9 and q 9 divided by q the quotient of 9 and q 3. Give two ways to write the algebraic expression 9 + q in words. bcd

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Check for Understanding h subtracted from 3 h less than 3 a the product of 3 and h 3 times h h more than 3 h added to 3 the quotient of 3 and h 3 divided by h 4. Give two ways to write the algebraic expression 3(h) in words. bcd

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Example 3 Kudzu is a vine native to Japan. Kudzu can grow half a foot per day during the summer months. Write an expression that shows how much a 20-foot kudzu vine can grow in June. Total Growth: d 1 2 d = 30 days Total Growth: (30) 1 2 The vine will grow 15 feet in June!

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Example 4 An Internet service provider charges $9.95/month for service and charges a one-time activation fee of $19.99. Using m for the number of months, write an expression that will give us the total cost after m months. Total Cost: 9.95m + 19.99 m = 6 months You will have spent $79.69 after 6 months. How much will you have spent after 6 months? Total Cost: 9.95(6) + 19.99 Total Cost: 59.70 + 19.99

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Check for Understanding George places x more video games on a shelf with 25 games. a Sarah has driven x miles of a 25-mile trip. Amelia paid 25 dollars of an x dollar lunch that she shared with Ariel. Jorge has 25 boxes full of x baseball cards each. 5. Which situation is best modeled by the expression 25 - x? bcd

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Check for Understanding 20 - 5 a 20(5) 20 + 5 20 ÷ 5 6. Which numerical expression represents x? bcd x 5 20

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Summary Essential Questions: How do we translate between words and algebra? Use 1 minute to write 2 sentences answering the essential questions.

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