MSAlgebraA‐SSE.1a–Ch.1.1InterpretAlgebraicExpressions

Mr.DeyoInterpretpartsofanexpression,suchasterms,factors,andcoefficients

http://wiki.warren.kyschools.us/groups/wcpscommoncorestandards/wiki/8f8ad/

Bytheendoftheperiod,Icaninterpretthepartsofanexpression,including,itsterms,itsfactors,anditscoefficients.

IwilldemonstratethisbycompletingFour‐SquareNotesandbysolvingproblemsinapair/groupactivity.

Learning Target

Title:1.1InterpretAlgebraicExpressions Date:

HomeWork1‐2‐3:1)Class4‐SquareNotesPutInBinder?

2)Section1.1Pg.9‐10 3)Section______TxtBk.Problems#23‐26,53‐59 NotesCopiedonblanksheetSolvedandPutinBinder? ofpaperinBinder?

TableofContentsDate Description DateDue

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?

1. 25 – n Evaluate the expression , when n = 7.

2. Evaluate the expression a3, when a = 4.

Daily Warm-Up Exercises

ANSWER 18

ANSWER 64

1. 25 – n Evaluate the expression , when n = 7.

2. Evaluate the expression a3, when a = 4.

Daily Warm-Up Exercises

1)  Expression

2) Variables

3)  Coefficients

4)  Constants

5)  Terms

Vocabulary

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 Definition Sketch

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

WordList1.  2.  3.  4. 

Notes:

NumberofTerms:

Variable:

ValueofCoefficient:

ValueofConstant:

Notes:

NumberofTerms:

Variable(s):

ValueofCoefficient(s):

ValueofConstant:

A‐BProblemAnotes:

Supposexadultsandychildrenvisitathemeparkoneday.Thepriceofanadultticketisadollarsandthepriceofachild’sticketiscdollars.Interpretthefollowingineverydaylanguageusingasmanyvocabularytermsaspossible.

1)a=3c _____________________________

______________________________________.

2)  ax+cy<1000_______________________

_______________________________________

_______________________________________

A‐BProblemACheck:Supposexadultsandychildrenvisitathemeparkoneday.Thepriceofanadultticketisadollarsandthepriceofachild’sticketiscdollars.Interpretthefollowingineverydaylanguageusingasmanyvocabularytermsaspossible.

1)  a=3c Thecostofanadultticket(variablea)isthreetimesthecostofachildticket(variablec).

3)  ax+cy<1000Theproductofthepriceofeachadultticketmultipliedbythenumberofadultticketssoldbeingaddedtotheproductofthepriceofeachchildticketmultipliedbythenumberofchildticketssoldislessthanonethousanddollars.

A‐BProblemBSOLVE!!

Shannonistryingtodeterminethecostofproducinghergourmetpopcorn.Runningthefactoryforonedayrepresents$600insalaryandbuildingcosts.Eachpoundofpopcorncostsanadditional30centsinsupplies.Shewritesdownthefollowingequation: C=600+0.30x

Explainhowshedevelopedthisequationbyidentifyingwhateachvariableandtermrepresents.

___________________________________________

___________________________________________

___________________________________________

A‐BProblemBCheck!!Shannonistryingtodeterminethecostofproducinghergourmetpopcorn.Runningthefactoryforonedayrepresents$600insalaryandbuildingcosts.Eachpoundofpopcorncostsanadditional30centsin

supplies.Shewritesdownthefollowingequation: C=600+0.30x

Explainhowshedevelopedthisequationbyidentifyingwhateachvariableandtermrepresents.

Shecreatedthisequationbyidentifyingthedailyconstantof$600insalaryandbuildingcosts.Shealsoidentifiedthecoefficientof0.30forthecostofsuppliesforeach(variableX)poundofpopcornmadeatthefactory.

Problem A Evaluate an expression in two variables

The total cost of seeing a movie at a theater can be represented

by the expression a + r where a is the cost (in dollars) of

admission and r is the cost (in dollars) of refreshments. Suppose

you pay $7.50 for admission and $7.25 for refreshments. Find the total cost.

MOVIES

Problem A Evaluate an expression in two variables

The total cost of seeing a movie at a theater can be represented by the expression a + r where a is the cost (in dollars) of admission and r is the cost (in dollars) of refreshments. Suppose you pay $7.50 for admission and $7.25 for refreshments. Find the total cost.

MOVIES

SOLUTION

Total cost r a + = Write expression.

7.25 7.50 + = Substitute 7.50 for a and 7.25 for r.

14.75 = Add.

ANSWER The total cost is $14.75.

Problem B

Suppose you go back to the theater with a friend to see an afternoon movie. You pay for both admissions. Your total cost (in dollars) can be represented by the expression 2a. If each admission costs $4.75, what is your total cost?

Problem B

Suppose you go back to the theater with a friend to see an afternoon movie. You pay for both admissions. Your total cost (in dollars) can be represented by the expression 2a. If each admission costs $4.75, what is your total cost?

ANSWER $9.50

a=4.752a=2(4.75)2a=9.50

Read and write powers Problems A

Write the power in words and as a product.

Power Words Product

a. 71

b. 52

21 3

c.

d. z5

Read and write powers Problems A

Write the power in words and as a product.

Power Words Product

a. 71 seven to the first power 7

b. 52 five to the second power, or five squared

55 •

2

1 3

c. one half to the third power, or one half cubed 2

1•

2

1•

2

1

d. z5 z to the fifth power z z • z • z z ••

Problems B

95

Write the power in words and as a product.

28

n4

Words Product

Problems B

6. 95

Write the power in words and as a product.

7. 28

nine to the fifth power, 9 9 • 9 • 9 9 ••

two to the eighth power, 2 2 • 2 • 2 2 •• • 2 • 2 • 2

8. n4 n to the fourth power, n n • n • n •

ANSWERS

StormCheck(Think,Write,Discuss,Report)

Whatisthedifferencebetweenavariable,acoefficient,andaconstant?

Avariableis____________________________.

Acoefficientis__________________________.

Aconstantis____________________________.

1)  Expression

2) Variables

3)  Coefficients

4)  Constants

5)  Terms

Vocabulary

HomeWork1‐2‐3:1)Class4‐SquareNotesPutInBinder?

2)Section1.1Pg.9‐10 3)Section______TxtBk.Problems#23‐26,53‐59 NotesCopiedonblanksheetSolvedandPutinBinder? ofpaperinBinder?

TableofContentsDate Description DateDue

Bytheendoftheperiod,Icaninterpretthepartsofanexpression,including,itsterms,itsfactors,anditscoefficients.

IwilldemonstratethisbycompletingFour‐SquareNotesandbysolvingproblemsinapair/groupactivity.

Learning Target

Title:1.1InterpretAlgebraicExpressions Date:

Ticket OUT.

Julia ran miles last week and miles this week.

How many more miles did she run last week? 3

210

6

58

Ticket OUT.

Julia ran miles last week and miles this week.

How many more miles did she run last week? 3

210

6

58

ANSWER 65

1 mi