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9/15/10 Words and Math. Entry Task. Evaluate each expression for the given values of the variables. Show all steps. 1. 6 x + 9 for x = 3 2. x + 14 + x for x = 8 3. 4 x + 3 y for x = 2, y = 3. 27. 30. 17. Today’s Plan: -Entry Task & Correct Homework -Words and Math

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slide1

9/15/10 Words and Math

Entry Task

Evaluate each expression for the given values of the variables. Show all steps.

1. 6x + 9 for x = 3

2.x + 14 + x for x = 8

3. 4x + 3y for x = 2, y = 3

27

30

17

Today’s Plan:

-Entry Task & Correct Homework

-Words and Math

-Practice

Learning Target:

-I will translate words into mathematical expressions, and mathematical expressions into words.

slide2

9/15/10 Words and Math

Correct Homework

pg 94 #1-15

Today’s Plan:

-Entry Task & Correct Homework

-Words and Math

-Practice

Learning Target:

-I will translate words into mathematical expressions, and mathematical expressions into words.

slide3

9/15/10 Words and Math

+

÷

×

-

Today’s Plan:

-Entry Task & Correct Homework

-Words and Math

-Practice

Learning Target:

-I will translate words into mathematical expressions, and mathematical expressions into words.

slide4

9/15/10 Words and Math

+

-

×

÷

Learning Target:

- Learn to translate words into mathematical expressions.

Today’s Plan:

-Entry Task & Correct Homework

-Words and Math

-Practice

Learning Target:

-I will translate words into mathematical expressions, and mathematical expressions into words.

slide5

9/15/10 Words and Math

Which operation symbol goes with each word?

+

1. Sum

2. Product

3. Quotient

4. Difference

Today’s Plan:

-Entry Task & Correct Homework

-Words and Math

-Practice

Learning Target:

-I will translate words into mathematical expressions, and mathematical expressions into words.

slide6

9/15/10 Words and Math

Write an algebraic expression for each word phrase.

A. the product of 8 and a number n

the product of 8 and n

8 •n

8n

B. a number w decreased by 9

w decreased by9

w– 9

w – 9

Today’s Plan:

-Entry Task & Correct Homework

-Words and Math

-Practice

Learning Target:

-I will translate words into mathematical expressions, and mathematical expressions into words.

slide7

9/15/10 Words and Math

f

6

Write an algebraic expression for each word phrase.

A. the sum of a number h and 88

the sum ofh and 88

h + 88

h + 88

B. the quotient of a number f and 6

quotient off and 6

f 6

Today’s Plan:

-Entry Task & Correct Homework

-Words and Math

-Practice

Learning Target:

-I will translate words into mathematical expressions, and mathematical expressions into words.

slide8

9/15/10 Words and Math

Insert Lesson Title Here

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

Today’s Plan:

-Entry Task & Correct Homework

-Words and Math

-Practice

Learning Target:

-I will translate words into mathematical expressions, and mathematical expressions into words.

slide9

x

11

  • Write an algebraic expression for each word phrase.
  • 1. 5 less than a number k
  • 2. A number x divided by 11
  • The sum of n and 5
  • The product of 3 and h

k – 5

n + 5

3h

slide10

2-8

Translate Words into Math

n

4

Course 2

Write each phrase as an algebraic expression.

A. the quotient of a number and 4

quotient means “divide”

B. w increased by 5

increased by means “add”

w + 5

slide11

2-8

Translate Words into Math

Course 2

Insert Lesson Title Here

Write each phrase as an algebraic expression.

C. the product of a number and 5

the product of a number and 5

n· 5

5n

D. 4 times the difference of y and 8

4 times the difference of y and 8

y– 8

4 ·

4(y – 8)

slide12

2-8

Translate Words into Math

4

n

Course 2

Additional Example 1C & 1D: Translating Verbal Expressions into Algebraic Expressions

Write each phrase as an algebraic expression.

C. the difference of 3 times a number and 7

the difference of 3 times a number and 7

3 · x– 7

3x– 7

D. the quotient of 4 and a number, increased by 10

the quotient of 4 and a number, increased by 10

+ 10

slide13

Try This: Examples 1C and 1D

Write an algebraic expression for each word phrase.

C. add 7 to 3 multiplied by m

add 7 to 3 multiplied bym

7 + (3m)

7 + 3m

D. the difference of 5 and the product of 2 and r

the difference of 5 and the product of 2 and r

5 – (2 • r)

5 – 2r

slide14

Additional Examples 1C and 1D: Translating Word Phrases into Math Expressions

Write an algebraic expression for each word phrase.

C. 3 increased by the difference of p and 5

3 increased by the difference ofp and 5

3 + (p – 5)

3 + (p – 5)

D. 24 decreased by the product of 6 and q

24decreased bythe product of 6 and q

24 – (6 • q)

24 – 6q

slide15

f

6

Try This: Examples 1A and 1B

Write an algebraic expression for each word phrase.

A. the sum of a number h and 88

the sum ofh and 88

h + 88

h + 88

B. the quotient of a number f and 6

quotient off and 6

f 6

slide16

Try This: Examples 1C and 1D

Write an algebraic expression for each word phrase.

C. add 7 to 3 multiplied by m

add 7 to 3 multiplied bym

7 + (3m)

7 + 3m

D. the difference of 5 and the product of 2 and r

the difference of 5 and the product of 2 and r

5 – (2 • r)

5 – 2r

slide17

9/15/10 Words and Math

Assignment #6

Words and Math: worksheet

Today’s Plan:

-Entry Task & Correct Homework

-Words and Math

-Practice

Learning Target:

-I will translate words into mathematical expressions, and mathematical expressions into words.

slide18

Expression

Word Phrases

+

a

or a 7

7

  • a number plus 5
  • add 5 to a number

n + 5

  • sum of a number and 5
  • 5 more than a number
  • a number increased by 5
  • a number minus11
  • subtract 11 from a number

x11

  • difference of a number and 11
  • 11 less than a number
  • a number decreased by 11
  • 3 times a number
  • 3 multiplied by a number

3m

  • product of 3 and a number
  • a number divided by 7
  • 7 divided into a number
  • quotient of a number and 7
slide19

Insert Lesson Title Here

The county fair charges an admission of $6 and then charges $2 for each ride. Write an algebraic expression to represent the total cost after r rides at the fair.

6 + 2r

slide20

Taylor orders a pizza for dinner. The 16 pieces need to be divided equally among p people. Write an algebraic expression that show how many pieces each person gets?

16  p

Use your expression to solve the problem if she divides them equally among 4 people.

16  p , p=4

16  (4)

4

Each person gets 4 pieces.

slide21

x

11

Lesson Quiz

Write an algebraic expression for each word phrase.

1. 5 less than a number k

2. a number x divided by 11

3. 4times the sum of n and 5

Write an algebraic expression and used it to solve the problem.

4. Karen buys n raffle tickets for $0.50 each. If she buys 13 of them, how much will they cost?

k – 5

4(n + 5)

0.50n; $6.50

slide22

Bill’s Taxi Company charges $2 plus $0.35 for each minute.

a. Write an expression for the cost of a taxi ride of m minutes long.

b. How much will a 12 minute ride cost?