Session 9 Modeling with Geometry

Common Core High School Mathematics: Transforming Instructional Practice for a New Era

1.1

Learning Intentions & Success Criteria

Learning Intentions:

We are learning to deepen our understanding of the Common Core State Standards and the implications for teaching and learning mathematics.

Success Criteria:

We will be successful when we can describe how the content standards and math practice standards are evident in the implementation of a mathematical task.

8.2

Agenda

• Homework review and discussion• Slicing a cube• Reading G-GMD and G-MG• Break• MKT assessment• Reflection and goal setting• Tying up loose ends

1.3

1.4

Homework Review and Discussion

Activity 1:

Table Discussion:Discuss your write up for the day 8 math task Tangent line and radius:

• Compare your strategies with others at your table.

• Reflect on how you might revise your own solution and/or presentation.

1.5

Slicing a Cube

• Let’s begin with a warm-up: What figures can be produced when a plane slices through a sphere?

• As a table group, discuss the possibilities. Try to come up with a complete list. (How do you know that your list is complete?)

Activity 2:

1.6

Slicing a Cube

• Now for the real question: What figures can be produced when a plane slices through a cube?

• Try to visualize possible answers to this question individually.

• Compare your understanding with your table group. Do you find this question easier or harder than the previous one? (Why?)

Activity 2:

1.7

Slicing a Cube

• At your tables, consider the list of figures on the handout. Which do you think are possible to obtain, and which are impossible, when a plane slices through a cube?

• Begin by experimenting with the plastic cubes and the colored water, but eventually you should provide geometric reasons to support each of your experimental conjectures.

Activity 2:

1.8

Reading G-GMD and G-MG

• Read these standards from the high school Geometry conceptual category

• Turn and talk:• How do you see these standards in the

activity you have just completed?

Activity 3:

Break

1.13

1.10

Official BusinessActivity 4:

1.11

Reflection and Goal Setting

• Read through the course expectations for the school year

•Work on your personal reflection and goals

Activity 5:

1.12

Reflection and Goal Setting

•Work on your team reflection and goals

Activity 5:

1.13

Tying up Loose EndsActivity 6:

Any questions?

Any answers?

Any rags, any bones, any bottles today?