Share your thinking about and solutions to the problems below about Movie Rentals:

Mr. Davis rented four movies for the weekend. The movies and their lengths are shown in the table.

**A** The Davis Family watches *Searching for Sara* and 1 1/4 of *The Array* on Friday night. How much time did they spend watching movies on Friday night?

**B ** On Saturday they watched *The Ender* and *Waiting for Time*. How much time did they spend watching movies on Saturday?

**C **Suppose you rented the movies shown in the table. Make up a plan for spending exactly 5 1/2 hours watching whole movies or parts of movies and taking at least one break. Be sure to include the time you take for breaks in the 5 1/2 hours.

Share your thinking about and solutions to the problems below about Yarns R Us:

The table below shows the amounts of yarn in various colors that are in stock at Yarns R Us:

A. How much yarn in the colors shown does Yarns R Us have in its inventory?

B. How much more red yarn does Yarns R Us have in its inventory than green yarn?

C. The blue yarn was cut into 5 pieces, all the same length. How long was each piece?

D. Yarns R Us sells one-quarter of the black yarn it has on Saturday. How much black yarn did it sell on Saturday? How much black yarn does the store have in its inventory at the end of the day?

]]>Each Friday Ms. Descartes’ class plays the Place Value Game. Each student has 3 cards. Each card has a random 5-digit number on it. Ms. Descartes pulls a number from 1-9 from a hat and the students find the value of her number on all of their cards. The student with the highest total score wins.

Here’s an example:

If a card contains the number 47229 and Ms. Descartes picks a 7, the card is worth 7000 points. If she picks a 2, it’s worth 220 points.

The students noticed all kinds of things, and those that they deemed (along with the teacher) as “about math” are listed below:

Notices:

Each student has 3 cards

Is she picks a 7 it is worth 7000 points

Th card has the number 47,229

If she picks a 2 it is worth 220 points

Find the value of the number the teacher picks

Whatever place the teacher picks that is the value

Wonders:

How many 5 digit numbers on the card?

Why is the 2 worth 220?

Does it always have to be 5 digits?

What is the value of the 4?

What if she picks a different card like 8?

Who has the highest score?

What student wins?

What if Ms. Descartes picks the same card twice?

**What do you notice about their notices/wonders? What math do you see happening? What are you left wondering?**

Raul needs to be at the bus stop by 7:30.

He needs a total of 50 minutes to get ready.

He needs to be up at the latest by 6:40 if he wants to make the bus.

I wonder:

What time he gets up?

How often he misses the bus?

What happens when he misses the bus?

What kind of question will be asked for this problem?

How long the bus ride is.

What time school starts. ]]>

Time to Get UpRaul needs to be at the bus stop by 7:30 am to catch a ride to school. It takes him 15 minutes to get dressed, 20 minutes to eat breakfast, 10 minutes to walk his dog, and 5 minutes to walk

to the bus stop.

*On Monday, we will post examples of 5th grade students’ noticings and wonderings and the full problem.
*

Below is student work from the most recent time the Math Forum featured the “Filling Glasses” PoW. As PoW Planet teachers have their students submit to “Filling Glasses” they may choose to share some of that work with the world. We’ll link to it here. In the mean time, tell us what you notice and wonder about Max and Taylor’s work below.

**Taylor, age 13**

** **

The answer to the problem is that graph 1 belongs to glass A, graph 4 belongs to glass B, and graph 3 belongs to glass C. We found this out by looking at the graphs and the glasses and seeing the pattern between the two. We did this by comparing the shape of the glass and the line in the graph. That is how we figured it out.

The answer to the problem is that graph 1 belongs to glass A, graph 4belongs to glass B, and graph 3 belongs to glass C. We found this out by looking at the graphs and the glasses and seeing the pattern between the two. We did this by comparing the shape ofthe glass and the line in the graph. That is how we figured it out.

**Max, age 13**

The solution is that glass A goes with graph 1, glass B goes with graph 4, and glass C goes with graph 2.

Glass A goes with graph 1 because it is narrow, then wide, then narrow. Glass B goes with graph 4 because it is narrow then wide. Glass C goes with graph 2 because it is wide, then narrow, then wide.

]]>Click here to see the complete PoW and assign it to your students

Not a PoW Member? Join us or register for a free Trial Account.

Match each glass with the appropriate graph of water height over time.

]]>PoW Planet Participants: Please share your mathematical thinking about this PoW by logging on (with your Math Forum PoW account) and creating a new post on this blog. The blog admins will publish everyone’s thoughts on

, and link to them here!Monday, August 27thas any come in