1. Translating Verbal Expressions and Equations
Key Words and
Phrases

2. How can we translate verbal expressions and equations?
Explain the following terms: Translate: Verbal: Expressions: Equations:
Try to elicit the definitions from the students. Sometimes I pair the students and ask them to come up with a definition for each word. Allow 5 minutes and then share some of the pairs definitions or explanations. Write on the board the definitions for each trying to use their words.

3. Powers Key Words and Phrases The square of, squared The cube of,
or cubed
I usually create a flip book for this power point for students to take notes that looks like chart. You could also print slides for note taking. The first section is the key word section, they are all filled in for each chart. The rest of the sections will be filled in while teaching the lesson. Ask students to come up with the phrases and then the algebraic expression or equation. The second section is for the phrase, example: The square of a number. The third section is for the algebraic translation: y2. Complete for all slides.

4. Key Words and Phrases
Division
The quotient of
Divided by
The ratio of

5. Key Words and Phrases Multiplication Times The product of
Twice; double
Multiplied by of

6. Key Words and Phrases Subtraction Minus Less than The difference of
Decreased by
Diminished
Subtracted from

7. Key Words and Phrases Addition Plus More than The sum of The total of
Increased by
Added to

8. Key Words and Phrases Equals Equals Is Is the same as Yields
Amounts to

9. Translating Verbal Expressions into Algebraic Expressions
Write each phrase as an algebraic expression.
A. the quotient of a number and 4
quotient means “divide” n 4
B. w increased by 5
increased by means “add”
w + 5

10. Your Turn Write each phrase as an algebraic expression.
A. a number decreased by 10
decreased means “subtract”
n – 10
B. r plus 20
plus means “add”
r + 20

11. Write equations for these sentences.
1. Forty-three less than n is equal to 35.
n – 43 = 35
2. Seven more than y is 13.
y + 7 = 13

12. Translating Real-World Problems into Algebraic Expressions
Mrs. Campbell drives at 55 miles per hour. Write an algebraic expression for how far she can drive in h hours.
55 miles per hour · h hours = 55h miles
Let x represent the number of television show episodes that are taped in a season. Write an expression for the number of episodes taped in 5 seasons. 5x

13. Practice 25 less than k The sum of 135 and p is 210
The quotient of 45 and x
319 less than 678
The product of 15 and x yields 60
m subtracted from 100

14. Your Results
At the end of the lesson I hand out to each student one or two key words or phrase printed on card stock with magnet on the back. I then label each section addition, subtraction, multiplication, division, powers, and equals. I then ask the student with key words or phrases for addition to come an place their card on the board and continue the same way for the rest. Have students check for any errors and pull out the turn around words ( more than, less than, added to, and subtracted from)

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