2. HW: Pg.50 #5-17 ANSWERS Course 1 2-2 Translating Between Words and Math

4. 6 th Grade Math HW Page 54 #8-23 Course 1 2-2 Translating Between Words and Math

5. Course 1 2-2 Translating Between Words and Math Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

6. 16 36 19 4 Course 1 2-2 Translating Between Words and Math Warm Up Evaluate each expression for x = 9. 1. 7 + x 2. 4x 3. 2x + 1 4. 36 x

7. Problem of the Day Draw a square around the numbers of 4 adjacent days on the calendar for this month. Add all the numbers in the square and subtract 4 times the first number. What number do you get? 16 Solving Subtraction Equations Course 1 2-2 Translating Between Words and Math

8. Today’s Learning Goal Learn to translate between words and math. Course 1 2-2 Translating Between Words and Math

9. In word problems, you may need to translate words to math. Course 1 2-2 Translating Between Words and Math Put together or combine Find how much more or less Put together groups of equal parts Separate into equal groups Add Subtract Multiply Divide ActionOperation

10. Lake Superior is the largest lake in North America. Let a stand for the area in square miles of Lake Superior. Lake Erie has an area of 9,910 square miles. Write an expression to show how much larger Lake Superior is than Lake Erie. Additional Example 1A: Social Studies Applications Course 1 2-2 Translating Between Words and Math To find how much larger, subtract the area of Lake Erie from the area of Lake Superior. a – 9,910 Lake Superior is a – 9,910 square miles larger than Lake Erie.

11. Additional Example 1B Course 1 2-2 Translating Between Words and Math Let p represent the number of colored pencils in a box. If there are 26 boxes on the shelf, write an algebraic expression to represent the total number of pencils on the shelf. To put together 26 equal groups of p, multiply 26 times p. 26p There are 26p pencils on the shelf.

12. The Nile River is the world’s longest river. Let n stand for the length in miles of the Nile. The Paraná River is 3,030 miles long. Write an expression to show how much longer the Nile is than the Paraná. Try This: Example 1A Course 1 2-2 Translating Between Words and Math To find how much longer, subtract the length of the Paraná from the length of the Nile. n – 3,030 The Nile is n – 3,030 miles longer than the Paraná.

13. Try This: Example 1B Course 1 2-2 Translating Between Words and Math Let p represent the number of paper clips in a box. If there are 125 boxes in a case, write an algebraic expression to represent the total number of paper clips in a case. To put together 125 equal groups of p, multiply 125 times p. 125p There are 125p paper clips in a case.

14. Course 1 2-2 Translating Between Words and Math 37 + 28 28 added to 37 37 plus 28 the sum of 37 and 28 28 more than 37 28 added to x x plus 28 the sum of x and 28 28 more than x x + 28 + Operation Numerical Expression Words Algebraic Expression Words

15. Course 1 2-2 Translating Between Words and Math 12 subtracted from k 12 minus k the difference of k and 12 take away 12 from k k — 12 Operation Numerical Expression Words Algebraic Expression Words  90 — 12 12 subtracted from 90 90 minus 12 the difference of 90 and 12 12 less than 90 take away 12 from 90

16. Course 1 2-2 Translating Between Words and Math 8 times w w multiplied by 8 the product of 8 and w 8 groups of of w 8  w or (8)(w) or 8w Operation Numerical Expression Words Algebraic Expression Words 8  48 or 8  48 8 times 48 48 multiplied by 8 the product of 8 and 48  or (8)(48) or 8(48) or (8)48

17. Course 1 2-2 Translating Between Words and Math n divided by 3 the quotient of n and 3 n  3 or Operation Numerical Expression Words Algebraic Expression Words 37  3 or 327 divided by 3 the quotient of 327 and 3  327 3 n 3

18. Write each phrase as a numerical or algebraic expression. Additional Example 2: Translating Words into Math Course 1 2-2 Translating Between Words and Math A. 987 minus 12 987  12 B. x times 45 45 x or 45x

19. Write each phrase as a numerical or algebraic expression. Try This: Example 2 Course 1 2-2 Translating Between Words and Math A. 42 less than 79 79  42 B. y divided by 22 y  22 or y 22

20. Write two phrases for each expression. Additional Example 3: Translating Math into Words Course 1 2-2 Translating Between Words and Math A. 16 + b 16 added to b B. (75)(32) 75 times 32 b more than 16 the product of 75 and 32

21. Write two phrases for each expression. Try This: Example 3 Course 1 2-2 Translating Between Words and Math A. 17 – 14 14 subtracted from 17 16 divided by b 17 minus 14 the quotient of 16 and b B. 16 b

22. Write an expression 1. Let x represent the number of minutes Kristen works out in one week. Write an expression for the number of minutes she works out in 4 weeks. Lesson Quiz Write each phrase as a numerical or algebraic expression 2. 7 less than x 3. The product of 12 and w 4x4x x  7 12w x more than 17 or x added to 17 n divided by 12 or the quotient of n and 12 Course 1 2-2 Translating Between Words and Math Write a phrase for each expression 4. 17 + x 5. n  12