Grade: 6&7

Lesson Title: Creating Nets for Cubes Date: Jan 13/14

Curriculum Expectations Grade 6: Students will sketch three dimensional figures, and construct three dimensional figures from drawings.

What do students need to know and be able to do? -that 2-D nets are representations of 3-D solids-geometry vocabulary and concepts: faces, edges, vertices, front, back, side, top bottomLearning GoalBig Idea - That there are many ways to represent a shape.

Lesson Components Anticipated Student Responses and Teacher Prompts / Questions

Action!

How many different nets can you create for this cube?

Show your work.

Find Puzzling Cube task on nrich website:

http://nrich.maths.org/1140

Anticipated Student Responses and Possible Misconceptions

-the arrangement of symbols will differ depending on the starting pointStrategies-Trial and error-refer to position of symbols on cube to -use first cube from Minds On as reference to position labels on the cube

Sample Scaffolding Questions How else can you represent

this? How are these ___the same

or different? If I do ____, what will

happen? How can you prove your

answer or verify your estimate?

How could you arrive at the same answer in a different way?

How do you know it will create a net?Have you found all the possibilities?

Minds-On AFL

Look at the pictures of the cube at the bottom of the page.Determine where the faces of the cube are in relation to each other, using the circle as your starting point.

Place or draw them on the net of this cube.

Check to make sure that it works.

What are we listening and looking for from the student conversation and responses?

Listen for use of related geometry vocabularyWhat strategies are students using to place symbols on the cube?

Lesson ComponentAfter / Consolidation / Reflecting and Connecting

Consolidation Highlights and Summary(Uncover Learning Goal, Success Criteria)

Student work Shared:Representations that the students found that create a net for a cube:

Most of the students struggled with creating nets for a cube in more than one way, so creating different nets to represent a cube became the focus of the Consolidation.

Highlights Included: That a net could be

represent in other ways if:

There are 6 square faces

AND that The net creates 3

pairs of parallel faces Not every

arrangement of 6 square faces creates a net

If the orientation of the net changes, it does not create a new net.

Independent Practice:Exit CardReflectionHomework

Student Next Steps (Large Group/Small Group/Individual)

Homework Task:

Construct another net for a cube that we have not looked at in class today.

Find or create a net that

Review homework to start the next lesson. Independent Task: Choose from the following selection of possible net arrangements and determine

cannot be folded to create a net.

Email both representations to your teacher tonight.

which ones will work and which ones will not. Justify your thinking.(See Making Math Meaningful, page 261)

Focus future lessons on:Can all 3-D shapes have more than one net?

Probability: How many different ways can we arrange symbols on a net to create design on a given cube? How do you know when you have them all?