MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and...

25
MS Algebra A-SSE.2 – Ch. 1.3 Write Algebraic Expressions Mr. Deyo Write verbal phrases as algebraic expressions using appropriate terms, factors, and coefficients

Transcript of MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and...

Page 1: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

MS Algebra A-SSE.2 – Ch. 1.3Write Algebraic Expressions

Mr. DeyoWrite verbal phrases as algebraic

expressions using appropriate terms, factors, and coefficients

Page 2: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

By the end of the period, I can interpret verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients.

I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

Learning Target

Title: 1.3 Write Algebraic Expressions Date:

Page 3: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?

2) Section 1.3 Pg. 22-23 3) Section ______

TxtBk. Prob. #7-19 Odd,29-32 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?

Table of ContentsDate Description Date Due

Page 4: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Storm Check (Think, Write, Discuss, Report)

Questions on which to ponder and answer:1. How are the two images similar?

2. How are they different?

3. How can these two images be related to math?

Page 5: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

For use with pages xxx–xxxDaily Warm-Up Exercises

Eight students each ordered 2 drawing kits and 4

drawing pencils. The expression 8(2K + 4P) gives

the total cost, where K is the cost of a kit and P is

the cost of a pencil. Find the total cost if a kit

costs $5 and a pencil costs $2.

Page 6: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

For use with pages xxx–xxxDaily Warm-Up Exercises

ANSWER $144

Eight students each ordered 2 drawing kits and 4

drawing pencils. The expression 8(2K + 4P) gives

the total cost, where K is the cost of a kit and P is

the cost of a pencil. Find the total cost if a kit

costs $5 and a pencil costs $2.

Page 7: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

1) Expression

2) Variables

3) Coefficients

4) Constants

5) Terms

Vocabulary

Page 8: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

DAY 3 and/or DAY 4

1. Review the word

Friendly Definition

Physical Representation

2. Show how the word works

Synonyms/antonym

Word Problems

Related words/phrases

Example/non-example

Friendly DefinitionSketch

Wordwork Sentence

DAY 2

1. Review word

Friendly Definition

Physical Representation

2. Draw a sketch

DAY 5

1. Review the word

Friendly definition

Physical Representation

3. Write a sentence

at least 2 rich words (1 action)

correct spelling

correct punctuation

correct subject/predicate agreement

clear and clean writing

DAY 1

1. Use Visuals

2. Introduce the word

Friendly Definition

Physical Representation

3. Use Cognates

4. Write friendly definition

5. Physical Representation

Word List1.2.3.4.

Page 9: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Notes:

Number of Terms:

Variable:

Value of Coefficient(s):

Value of Constant:

Greatest Common Factor?

6x3 + 3x2 + 9x + 21

Page 10: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Storm Check (Think, Write, Discuss, Report)

What are some key verbal phrases that are synonyms for algebraic operations?

Sum (+)

Difference (-)

Product (x)

Quotient (÷)

Page 11: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Storm Check (Think, Write, Discuss, Report)

What are some key verbal phrases that are synonyms for algebraic operations?

Sum (+) plus, total, more than, increased by

addition

Difference (-) less than, minus, decreased by

subtraction

Product (x) times, multiplied by, of

multiplication

Quotient (÷) divided by, divided into,

Page 12: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Problem A

Translate the phrase “the quotient of 2 and thequantity 10 plus a number x” into an expression.

Page 13: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Problem A

Translate the phrase “the quotient of 2 and thequantity 10 plus a number x” into an expression.

x102+

ANSWER

Page 14: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Problem(s) B

Verbal Phrase

Translate verbal phrases into expressions

a. 4 less than the quantity

6 times a number N

Expression

b. 3 times the sum of

7 and a number Y

Page 15: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Problem(s) B

Verbal Phrase

Translate verbal phrases into expressions

a. 4 less than the quantity

6 times a number N

Expression

46N –

b. 3 times the sum of

7 and a number Y( )Y+73

Page 16: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Problem A Solve a multi-step problem

Your basic monthly charge for cell phone service is

$30, which includes 300 free minutes. You pay a fee

for each extra minute you use. One month you paid

$3.75 for 15 extra minutes. Find your total bill if you

use 22 extra minutes.

CELL PHONES

Page 17: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Problem A Solve a multi-step problem

Your basic monthly charge for cell phone service is

$30, which includes 300 free minutes. You pay a

fee for each extra minute you use. One month you

paid $3.75 for 15 extra minutes. Find your total bill

if you use 22 extra minutes.

CELL PHONES

SOLUTION

Calculate the unit rate.STEP 115 min

$3.75==

min

$.25$.25 per minute

Write a verbal model and then an expression. Let m be the number of

extra minutes.STEP 2

Page 18: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Problem A Solve a multi-step problem

Use unit analysis to check that the expression

30 + 0.25m is reasonable.

STEP 3

+dollars minutes dollars dollars dollars• = =+dollars

minute

Because the final units are dollars, the expression is reasonable.

Evaluate the expression when m = 22.STEP 4

( )220.25+30 = 35.5

ANSWER The total bill is $35.50.

Page 19: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Problem B

Your friend’s basic monthly charge for cell phone service

is $35, which includes 300 free minutes. One month

he paid $8.80 for 40 extra minutes. Find your

friend’s total bill if he uses 35 extra minutes.

Page 20: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Problem B

Your friend’s basic monthly charge for cell phone service

is $35, which includes 300 free minutes. One month

he paid $8.80 for 40 extra minutes. Find your

friend’s total bill if he uses 35 extra minutes.

ANSWER $42.70

Page 21: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

1) Expression

2) Variables

3) Coefficients

4) Constants

5) Terms

Vocabulary

Page 22: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

By the end of the period, I can interpret verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients.

I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

Learning Target

Title: 1.3 Write Algebraic Expressions Date:

Page 23: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?

2) Section 1.3 Pg. 22-23 3) Section ______

TxtBk. Prob. #7-19 Odd,29-32 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?

Table of ContentsDate Description Date Due

Page 24: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Ticket OUT.

Translate the phrase

“the product of 7

and a number T

increased by 3” into

an expression.

Translate the phrase

“the quotient of the

quantity 5 minus a

number x and 6” into

an expression.

Page 25: MS Algebra A-SSE.2 Ch. 1helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · verbal phrases and write algebraic expressions with appropriate terms, factors, and coefficients. I

Ticket OUT.

Translate the phrase

“the product of 7

and a number T

increased by 3” into

an expression.

Translate the phrase

“the quotient of the

quantity 5 minus a

number x and 6” into

an expression.

6

x)–(5

ANSWER

7 T 3+

ANSWER