IM 7.2.9 Lesson: Solving Problems about Proportional Relationships
Consider the problem: A person is running a distance race at a constant rate. What time will they finish the race?[br][br]What information would you need to be able to solve the problem?[br]
Your teacher will give you either a [i]problem card[/i] or a [i]data card[/i]. Do not show or read your card to your partner.[br][br][table][tr][td]If your teacher gives you the [i]problem card[/i]:[/td][td]If your teacher gives you the [i]data card[/i]:[/td][/tr][tr][td][list=1][*]ilently read your card and think about what [br]information you need to be able to answer [br]the question.[br][/*][*]Ask your partner for the specific information [br]that you need.[br][/*][*]Explain how you are using the information to [br]solve the problem.[br]Continue to ask questions until you have enough [br]information to solve the problem.[br][/*][*]Share the [i]problem card [/i]and solve the problem independently.[br][/*][*]Read the [i]data card[/i] and discuss your reasoning.[br][/*][/list][/td][td][list=1][*]Silently read your card.[br][/*][*]Ask your partner [br][i]“What specific information do you need?”[/i] [br]and wait for them to [i]ask[/i] for information.[br]If your partner asks for information that [br]is not on the card, do not do the calculations [br]for them. Tell them you don’t have that information.[br][/*][*]Before sharing the information, ask [br]“[i]Why do you need that information?[/i]” [br]Listen to your partner’s reasoning and ask [br]clarifying questions.[br][/*][*]Read the [i]problem card[/i] and solve the problem independently.[br][/*][*]Share the [i]data card[/i] and discuss your reasoning.[br][/*][/list][/td][/tr][/table][br][br]Pause here so your teacher can review your work. Ask your teacher for a new set of cards and repeat the activity, trading roles with your partner.
[size=150]A company is hiring people to read through all the comments posted on their website to make sure they are appropriate. Four people applied for the job and were given one day to show how quickly they could check comments.[/size][br][list][*]Person 1 worked for 210 minutes and checked a total of 50,000 comments.[/*][*]Person 2 worked for 200 minutes and checked 1,325 comments every 5 minutes.[/*][*]Person 3 worked for 120 minutes, at a rate represented by [math]c=331t[/math],[br]where [math]c[/math] is the number of comments checked and [math]t[/math] is the time in minutes.[/*][*]Person 4 worked for 150 minutes, at a rate represented by [math]t=\left(\frac{3}{800}\right)c[/math].[/*][/list][br]Order the people from greatest to least in terms of total number of comments checked.
Order the people from greatest to least in terms of how fast they checked the comments.
Write equations for each job applicant that allow you to easily decide who is working the fastest.
Make a table that allows you to easily compare how many comments the four job applicants can check.
IM 7.2.9 Practice: Solving Problems about Proportional Relationships
For each situation, explain whether you think the relationship is proportional or not. Explain your reasoning.
The weight of a stack of standard 8.5x11 copier paper vs. number of sheets of paper[br][br][img]data:image/png;base64,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[/img]
The weight of a stack of different-sized books vs. the number of books in the stack.[br][br][img]data:image/png;base64,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[/img]
Every package of a certain toy also includes 2 batteries.
Are the number of toys and number of batteries in a proportional relationship? If so, what are the two constants of proportionality? If not, explain your reasoning.[br]
Use [math]t[/math] for the number of toys and [math]b[/math] for the number of batteries to write two equations relating the two variables.[br][math]b=[/math][br][math]t=[/math][br] [br]
Lin and her brother were born on the same date in different years. Lin was 5 years old when her brother was 2. Find their ages in different years by filling in the table and answer the question below.
Is there a proportional relationship between Lin’s age and her brother’s age? Explain your reasoning.[br]
A student argues that [math]y=\frac{x}{9}[/math] does not represent a proportional relationship between [math]x[/math] and [math]y[/math] because we need to multiply one variable by the same constant to get the other one and not divide it by a constant. Do you agree or disagree with this student?
Quadrilateral A has side lengths 3, 4, 5, and 6. Quadrilateral B is a scaled copy of Quadrilateral A with a scale factor of 2. Select [b]all[/b] of the following that are side lengths of Quadrilateral B.