Try it with the Problem
Teresa is going to put down new ceramic tiles on her bathroom floor. She has selected square tiles that are 4 inches on each side. These are the kind of tiles that can be placed right next to each other without leaving additional space for grout. At The Home Station, she learned how to cut the tiles in case she needs any fractional pieces to cover her floor completely.

This diagram of the bathroom floor shows the dimensions of the floor space she needs to cover. The sink area does not get tiled.

Questions: How many tiles will she need to buy to cover her floor? How many tiles will she have to cut in order to cover the entire space?

Extra: What is the size, using whole numbers, of the largest square tile that could be used to tile the entire floor with no cut pieces?

Max presenting the Teresa's Tiles Problem to a 6th grade class. He is using the "I Notice, I Wonder"

Grade 3 Example I Notice Portion

Students continue Noticing and Wondering about their Peers Responses

Students continue this time beginning to wonder.

Students now listen to the story associated with the problem, using "What do you hear?"

The Arm Wrestling Match "What do You Hear?" Here is the problem for this video, "Brady, Conner, Tucker, Jeremy, Mark, and Dave are having an arm wrestling contest. Each boy will wrestle all of the others once to see who will be the champion. How many arm wrestling matches will take place?"

Cupcakes, Cupcakes! "What Do You Hear?" Here is the problem for this video,"Andrei's school is having a Science Fair this afternoon and he agreed to bring four dozen cupcakes for the reception afterwards. To catch his bus, he needs to be out of the house at 7:50 a.m. He started icing the cupcakes at 7:40 a.m. at a rate of 3 cupcakes per minute.

He soon realized that he wasn't going to finish in time, so at 7:44 his older sister, Zoe, started icing cupcakes too. She iced them at a rate of 4 cupcakes per minute. As they iced the cupcakes, they placed them directly in the boxes that he would carry on the bus. This way, when they iced the last cupcake, Andrei would be ready to dash out the door.

Question: Did they finish in time for Andrei to catch his bus? Explain. Extra: When did they finish icing the last cupcake?

Teacher presenting the Trapezoid Teatime to a 5th grade class. She is using the "What Do You See?" activity, a variation on "What Do You Hear?

Problem: Lipton Elementary School holds an annual tea to honor the parent volunteers who work in the school. The trapezoid tables they use can seat one person on each of the three short sides and two people on the long side. In other words, one table standing alone seats five people.

The tables are arranged in one long row in the cafeteria. When they connect two tables together, here's how the seating looks:

How many guests can sit at 5 tables connected in a row?

How many guests can sit at 20 tables connected in a row?

Explain how you found your answers. Describe any observations or patterns that helped you.

I Notice I WonderFree Scenarios to Try for I Notice, I Wonder

Try it with the ProblemTeresa is going to put down new ceramic tiles on her bathroom floor. She has selected square tiles that are 4 inches on each side. These are the kind of tiles that can be placed right next to each other without leaving additional space for grout. At The Home Station, she learned how to cut the tiles in case she needs any fractional pieces to cover her floor completely.

This diagram of the bathroom floor shows the dimensions of the floor space she needs to cover. The sink area does not get tiled.

Questions: How many tiles will she need to buy to cover her floor? How many tiles will she have to cut in order to cover the entire space?Extra: What is the size, using whole numbers, of the largest square tile that could be used to tile the entire floor with no cut pieces?Max presenting the Teresa's Tiles Problem to a 6th grade class. He is using the "I Notice, I Wonder"Grade 3 ExampleI Notice PortionStudents continue Noticing and Wondering about their Peers ResponsesStudents continue this time beginning to wonder.Students now listen to the story associated with the problem, using "What do you hear?"The Arm Wrestling Match "What do You Hear?"Here is the problem for this video, "Brady, Conner, Tucker, Jeremy, Mark, and Dave are having an arm wrestling contest.

Each boy will wrestle all of the others once to see who will be the champion. How many arm wrestling matches will take place?"

Cupcakes, Cupcakes! "What Do You Hear?"Here is the problem for this video,"Andrei's school is having a Science Fair this afternoon and he agreed to bring four dozen cupcakes for the reception afterwards. To catch his bus, he needs to be out of the house at 7:50 a.m. He started icing the cupcakes at 7:40 a.m. at a rate of 3 cupcakes per minute.

He soon realized that he wasn't going to finish in time, so at 7:44 his older sister, Zoe, started icing cupcakes too. She iced them at a rate of 4 cupcakes per minute. As they iced the cupcakes, they placed them directly in the boxes that he would carry on the bus. This way, when they iced the last cupcake, Andrei would be ready to dash out the door.

Question:Did they finish in time for Andrei to catch his bus? Explain.Extra:When did they finish icing the last cupcake?Teacher presenting the Trapezoid Teatime to a 5th grade class. She is using the "What Do You See?" activity, a variation on "What Do You Hear?Problem:

Lipton Elementary School holds an annual tea to honor the parent volunteers who work in the school. The trapezoid tables they use can seat one person on each of the three short sides and two people on the long side. In other words, one table standing alone seats five people.

The tables are arranged in one long row in the cafeteria. When they connect two tables together, here's how the seating looks:

Explain how you found your answers. Describe any observations or patterns that helped you.

Note: Here is a link to virtual pattern blocks that might help you solve the problem:http://nlvm.usu.edu/en/nav/frames_asid_170_g_2_t_2.htmlExtra 1:Use words or numbers and symbols to write a rule for calculating the number of volunteers that can sit at any given number of tables.Extra 2:How many tables would it take, arranged in a straight line, to seat 85 volunteers?