Author Archive for vklein

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.

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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?

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Think about what you notice and wonder and what you think your students would notice and wonder. Share your lists!

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Think about what you notice and wonder and what you think your students would notice and wonder. Share your lists!

Yarns R Us

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I spent some time is that good old 5th grade classroom again this week and I watched as the students noticed and wondered about the following scenario:

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?

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