SECONDARY MATH II // MODULE 1

QUADRATIC FUNCTIONS – 1.1

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

1.1 Something to Talk About

A Develop Understanding Task

Cellphonesoftenindicatethestrengthofthephone’ssignalwithaseriesofbars.Thelogobelowshowshowthismightlookforvariouslevelsofservice.

1. Assumingthepatterncontinues,drawthenextfigureinthesequence.

2. Howmanyblockswillbeinthefigure10?

3. Examinethesequenceoffiguresandfindaruleorformulaforthenumberoftilesinanyfigurenumber.

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SECONDARY MATH II // MODULE 1

QUADRATIC FUNCTIONS – 1.1

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

1.1

READY Topic:DistributivePropertySimplifythefollowingexpressions

1. 3 2x + 7 2. −12 5x − 4

3. 5a −3a + 13 4. 9x 6x − 2

5. !"! 12x + 18 6. !"! 10a − 25b 7. !!"!! 121x + 22

SET Topic:RecognizingLinearExponentialandQuadraticFunctionsIneachsetof3functions,onewillbelinearandonewillbeexponential.Oneofthethreewillbeanewcategoryoffunction.Listthecharacteristicsineachtablethathelpedyoutoidentifythelinearandtheexponentialfunctions.Whataresomecharacteristicsofthenewfunction?Findanexplicitandrecursiveequationforeach.

8. Linear,exponential,oranewkindoffunction?

a.

Typeandcharacteristics?

Explicitequation:

Recursiveequation:

! !(!)6 647 1288 2569 51210 1024

b.

Typeandcharacteristics?

Explicitequation:

Recursiveequation:

! !(!)6 367 498 649 8110 100

c.

Typeandcharacteristics?

Explicitequation:

Recursiveequation:

! !(!)6 117 138 159 1710 19

READY, SET, GO! Name Period Date

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256 HIGH t2 O211012017,190

Exponential nMHyPYaw Quadratic ffmvgYdifddLinear Equal firstdiff

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SECONDARY MATH II // MODULE 1

QUADRATIC FUNCTIONS – 1.1

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

1.1

9. Linear,exponential,oranewkindoffunction?d.

Typeandcharacteristics?

Explicitequation:

Recursiveequation:

! !(!)-2 -17-1 -120 -71 -22 3

e.

Typeandcharacteristics?

Explicitequation:

Recursiveequation:

! !(!)-2 1/25-1 1/50 11 52 25

f.

Typeandcharacteristics?

Explicitequation:

Recursiveequation:

! !(!)-2 9-1 60 51 62 9

10. Graphthefunctionsfromthetablesin#8and#9.Addanyadditionalcharacteristicsyounoticefromthegraph.Placeyouraxessothatyoucanshowall5points.Identifyyourscale.Writeyourexplicitequationabovethegraph.a. Equation: b. Equation: c. Equation:

d. Equation: e. Equation: f. Equation:

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SECONDARY MATH II // MODULE 1

QUADRATIC FUNCTIONS – 1.1

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

1.1

GO Topic:RatesofChangeIdentifytherateofchangeineachoftherepresentationsbelow.

11. 12. 13.x f(x)25 6526 6827 7128 74

14.f 0 = 7; f n + 1 = f n + 5

15. 16.Slopeof!"A(-3,12)B(-11,-16)

17. Georgeisloadingfreightintoanelevator.Henoticesthattheweightlimitfortheelevatoris1000lbs.Heknowsthatheweighs210lbs.Hehasloaded15boxesintotheelevator.Eachboxweighs50lbs.Identifytherateofchangeforthissituation.

18.Independentvariable 4 5 6 7 8Dependentvariable 5 5.5 6 6.5 7

19.! −4 = 24 !"# ! 6 = −36

4

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–2

–3

–4

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–2

–3

–4

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