IM 6.2.14 Lesson: Solving Equivalent Ratio Problems

Consider the problem: A red car and a blue car enter the highway at the same time and travel at a constant speed. How far apart are they after 4 hours?[br][br]What information would you need to be able to solve the problem?
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][*]Silently read your card and think about what information [/*][*]you need to be able to answer the question.[/*][*]Ask your partner for the specific information [br]that you need.[/*][*]Explain how you are using the information [br]to solve the problem.[br]Continue to ask questions until you have enough information[br]to solve the problem.[/*][*]Share the [i]problem card [/i]and solve the problem independently.[/*][*]Read the [i]data card[/i] and discuss your reasoning.[/*][/list][/td][td][list=1][*]Silently read your card.[/*][*]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 for them. [br]Tell them you don’t have that information.[/*][*]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.[/*][*]Read the [i]problem card[/i] and solve [br]the problem independently.[/*][*]Share the [i]data card[/i] and discuss your reasoning.[/*][/list][/td][/tr][/table][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.
[list][*]Lin read the first 54 pages from a 270-page book in the last 3 days.[/*][*]Diego read the first 100 pages from a 320-page book in the last 4 days.[/*][*]Elena read the first 160 pages from a 480-page book in the last 5 days.[/*][/list]If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning.
The ratio of cats to dogs in a room is [math]2:3[/math]. Five more cats enter the room, and then the ratio of cats to dogs is [math]9:11[/math]. How many cats and dogs were in the room to begin with?
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Information: IM 6.2.14 Lesson: Solving Equivalent Ratio Problems