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Today’s Lesson: What: translating algebraic sentences Why: To translate algebraic sentences (expressions and equations) between verbal form and algebraic form. What: translating algebraic sentences Why: To translate algebraic sentences (expressions and equations) between verbal form and algebraic form.
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Expression— math sentence that does NOT contain an _____________ symbol! Equation– math sentence that _________________ contain an equal symbol! Expression— math sentence that does NOT contain an _____________ symbol! Equation– math sentence that _________________ contain an equal symbol! Vocabulary... equal (=) MUST
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Addition Key WordsSubtraction Key Words Multiplication Key Words Division Key Words “is” means ___________
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Translate the following into algebraic sentences: 1) six less a number 2) six less than a number 3) Twice a number is six less than eight. 4) The total of a number squared and four is equal to seven. 5) the quotient of a number and twenty 6) the product of eight and a number cubed 7) The difference of a number and six is twice the number. 8) Two times the sum of a number and five is thirty-five. 6 - n n - 6 2n = 8 - 6 n 2 + 4 = 7 8n 3 n - 6 = 2n2(n +5) = 35
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9) twice the difference of a number and seven 10) Twelve cubed less than the quotient of a number and six. 11) Twelve divided by a number is four. 12) Twice a number divided by ten is four less two. 13) one-fourth of a number is the same as ten. 14) nine more than twice a number 2(n – 7) 2n + 9
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Translate the following into verbal sentences (words): 1) y – 6 2) x² + 15 = 24 3) 8 + (x + 3) 4) 2x – 9 = 1 5) x_ + 8 = 4y 2 “six less than y” “The sum of a number squared and fifteen is equal to twenty-four.” “eight plus the sum of a number and three” “Twice a number minus nine is one.” “A number divided by two, plus eight is four times a number.”
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END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.
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Expression—math sentence that does NOT contain an _____________ symbol! Equation– math sentence that __________________ contain an equal symbol! Expression—math sentence that does NOT contain an _____________ symbol! Equation– math sentence that __________________ contain an equal symbol! Addition Key WordsSubtraction Key Words Multiplication Key WordsDivision Key Words Math-7 NOTES DATE: ______/_______/_______ What: translating algebraic sentences Why: To translate algebraic sentences (expressions and equations) between verbal form and algebraic form. What: translating algebraic sentences Why: To translate algebraic sentences (expressions and equations) between verbal form and algebraic form. NAME: “is” means ___________ Translate the following into algebraic sentences: 1)six less a number2)six less than a number 3)Twice a number is six less than eight. 4)The total of a number squared and four is equal to seven.
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7)The difference of a number and six is twice the number. 8)Two times the sum of a number and five is thirty-five. 9) twice the difference of a number and seven 10)Twelve cubed less than the quotient of a number and six. 11)Twelve divided by a number is four. 12)Twice a number divided by ten is four less two. 13)one-fourth of a number is the same as ten. 14) nine more than twice a number 5)the quotient of a number and twenty 6)the product of eight and a number cubed Translate the following into verbal sentences (words): 1)y – 6 2)x² + 15 = 24 3)8 + (x + 3) 4)2x – 9 = 1 5)_x_ + 8 = 4y 2
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Math-7 PRACTICE DATE: ______/_______/_______ NAME:__________________________ “translating algebraic sentences”
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Match the following algebraic sentences with the correct verbal sentence: 1) _____ y - 10 A. the quotient of five and three times y 2) _____ 10 - y B. The sum of 6 and y divided by 3 is 24. 3) _____ y² + 4y C. ten less than y 4) _____ 2y – 3 = 9 D. four less the product of 2 and y 5) _____ 3(y + 6) = 24 E. the total of y squared and four times y 6) _____ 5y² F. y cubed divided by five 7) _____ 3y + 6 = 24 G. Three times the sum of y and 6 is 24. 8) _____ 2y + 4y H. four less than twice y 9) _____ 5(2y) I. ten less y 10)_____ 6 + _y_ = 24 3 J. Three times the difference of y and 6 is 24. 11) _____ 3( y – 6) = 24 K. Twice y less three is 9. 12) _____ 2y - 4 L. the product of five and twice y 13) _____ 4 – 2y M. five times y squared 14)_____ _y³ 5 N. twice y added to four times y 15)_____ _5_ 3y O. The total of three times y and 6 is 24.
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