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Biblioteka

3.3 Writing Linear Equations (In Linear Form)

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OBJECTIVES & STANDARDS

Math Objectives

  • Define quantities in a word problem algebraically

  • Generate standard form equations from word problems

  • Graph standard form equations on the coordinate plane

  • Interpret the meaning of intercepts and intersections

Common Core Math Standards

  • Link to all CCSS Math

  • CCSS.PRACTICE.MP1

  • CCSS.PRACTICE.MP4

  • CCSS.PRACTICE.MP7

  • CCSS.HSF.BF.A.1

  • CCSS.HSF.IF.B.4

  • CCSS.HSA.CED.A.2

Personal Finance Objectives

  • Quantify financial constraints

  • Evaluate trade-offs in spending and budgeting choices

National Standards for Personal Financial Education

Saving

  • 9a: Explain how external influences (e.g. peers, family, or social media) can impact personal savings decisions

DISTRIBUTION & PLANNING

Distribute to students

  • Student Activity Packet

  • Application Problems

Intro - Warm-Up
Learn It
Learn It & Practice It in Desmos: Writing Equations in Standard Form
Practice It 2
Explore It: Desmos 2: Linear Equations in Standard Form Updated

Complete:

Desmos #2 Linear Equations in Standard Form

Desmos #3: Card Sort

Desmos #4: Writing and Graphing a System of Linear Equations

OBJECTIVES & STANDARDS

Math Objectives

  • Define quantities in a word problem algebraically

  • Generate standard form equations from word problems

  • Graph standard form equations on the coordinate plane

  • Interpret the meaning of intercepts and intersections

Common Core Math Standards

  • Link to all CCSS Math

  • CCSS.PRACTICE.MP1

  • CCSS.PRACTICE.MP4

  • CCSS.PRACTICE.MP7

  • CCSS.HSF.BF.A.1

  • CCSS.HSF.IF.B.4

  • CCSS.HSA.CED.A.2

Personal Finance Objectives

  • Quantify financial constraints

  • Evaluate trade-offs in spending and budgeting choices

National Standards for Personal Financial Education

Saving

  • 9a: Explain how external influences (e.g. peers, family, or social media) can impact personal savings decisions

DISTRIBUTION & PLANNING

Distribute to students

  • Student Activity Packet

  • Application Problems

CALCULATE: Piggy Bank Math

Andre gets paid $5 a week for his allowance and $10 every time he mows his neighbor’s yard. He puts all his money into his piggy bank. His piggy bank contains $70 and has only $5 bills and $10 bills.

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Pitanje 1
1.
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Pitanje 2
2.
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Pitanje 3
3.

Rebekah guessed that the piggy bank  contained five $5 bills. Could she be right? Why or why not?

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Pitanje 4
4.

Describe in words how you would solve for the number of $10 bills if there are exactly eight $5 bills in the piggy bank.

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This is on your Notes Paper: Write answers in formative, and on your notes pages for reference.

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Pitanje 6
6.
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Pitanje 7
7.
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Pitanje 8
8.
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Pitanje 9
9.

Learn It #2 (after Desmos)

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1
Pitanje 11
11.

What is the real-world meaning of the y-intercept in this example?

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Pitanje 12
12.

What is the real-world meaning of the x-intercept in this example?

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Pitanje 13
13.

What is easy to see in slope-intercept form but is not so obvious in standard form?

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Pitanje 14
14.

What is easier to find using the standard form than using slope-intercept form?

Graphing Practice

Find the x and y intercepts and plot the line on the graph.

3
Pitanje 15
15.

Graph 2x - 6y = 18

Check your answer in desmos: Screen shot desmos in Show your work.

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
  • Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.
  • Nakon što ste nacrtali sve grafove, kliknite na karticu x ili y intercept da biste grafički prikazali intercepte.
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Pitanje 5
5.

Write an equation using variables that models the total value of the piggy bank based on the number of $5 bills and $10 bills inside. Use your description to help.

Pitanje 10
10.

For Equation: 5x+10y=70

Plot the two intercepts and draw the line connecting them.

y-Intercept = (0,7)

x-Intercept=(14,0)

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
  • Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.
  • Nakon što ste nacrtali sve grafove, kliknite na karticu x ili y intercept da biste grafički prikazali intercepte.
Pitanje 16
16.

Graph: 9x + 2y = 18

Check your answer in desmos: Screen shot desmos in Show your work.

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
  • Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.
  • Nakon što ste nacrtali sve grafove, kliknite na karticu x ili y intercept da biste grafički prikazali intercepte.
Pitanje 17
17.

Graph: -4x - 8y = 12

Check your answer in desmos: Screen shot desmos in Show your work.

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
  • Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.
  • Nakon što ste nacrtali sve grafove, kliknite na karticu x ili y intercept da biste grafički prikazali intercepte.