IM 7.6.6 Lesson: Distinguishing between Two Types of Situations

[size=150]Which equation doesn’t belong? Explain your reasoning.[/size][br][br][table][tr][td][math]4(x+3)=9[/math][/td][td][math]4+3x=9[/math][/td][/tr][tr][td][math]4\cdot x+12=9[/math][/td][td][math]9=12+4x[/math][/td][/tr][/table]
Sort the cards into 2 categories of your choosing.
Explain the meaning of your categories.
Now, sort the cards into 2 categories in a different way.
Explain the meaning of your new categories.
[size=150][table][tr][td]A[/td][td]B[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]Story 1: Lin had 90 flyers to hang up around the school. She gave 12 flyers to each of three volunteers. Then she took the remaining flyers and divided them up equally between the three volunteers.[/size][br][br]Which diagram goes with this story? Explain your reasoning.
What part of the story does the variable in the diagram represent?
Write an equation corresponding to the story above. If you get stuck, use the diagram.
Find the value of the variable in the story.
[size=150][table][tr][td]A[/td][td]B[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][br][br][/td][/tr][/table][br]Story 2: Lin had 90 flyers to hang up around the school. After giving the same number of flyers to each of three volunteers, she had 12 left to hang up by herself.[/size][br][br]Which diagram goes with this story? Explain your reasoning.
What part of the story does the variable in the diagram represent?
Write an equation corresponding to the story above. If you get stuck, use the diagram.
Find the value of the variable in the story.
[size=150]A tutor is starting a business. In the first year, they start with 5 clients and charge $10 per week for an hour of tutoring with each client. For each year following, they double the number of clients and the number of hours each week. Each new client will be charged 150% of the charges of the clients from the previous year.[/size]
Organize the weekly earnings for each year in a table.
Assuming a full-time week is 40 hours per week, how many years will it take to reach full time and how many new clients will be taken on that year?
After reaching full time, what is the tutor’s annual salary if they take 2 weeks of vacation?
Is there another business model you’d recommend for the tutor? Explain your reasoning.
Close

Information: IM 7.6.6 Lesson: Distinguishing between Two Types of Situations