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?

A chef is making pickles. He needs 15 gallons of vinegar. The store sells 2 gallons of vinegar for $3.00 and allows customers to buy any amount of vinegar. Select all of the following ratios which correctly represent the price of vinegar.[br]

Write a ratio for the given information about the cost of pasta.[br]

Would it be more helpful to write an equivalent ratio with 1 pound of pasta as one of the numbers, or with $1 as one of the numbers? Explain your reasoning, and then write that equivalent ratio. [br]

Find the answer and explain or show your reasoning. [br]

If she continues to read at the same rate, will she be able to complete this book in under 1 hour?

If so, how much time will she have left? If not, how much more time is needed? Explain your reasoning.

At this rate, how long will it take him to type 385 words?[br]

How many words can he type in 15 minutes?

A train that travels 30 miles in [math]\frac{1}{3}[/math] hour at a constant speed is going faster than a train that travels 20 miles in [math]\frac{1}{2}[/math] hour at a constant speed. Explain or show why.