Post on 25-Jun-2020
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