I. Curricular Framework

Concept:

Patterns-wheel 5 of 7

Essential Question:

How has the study of patterns in your world led directly to the study of patterns in math?

Bridge:

Predictions

Content:

Study of Volume and Surface Area

Outcomes:

II. Standards Aligned

III. Instruction and Assessment

1. Connect: Connecting to the Concept Experientially

Objective: To create an awareness of volume and surface area.

Activity: In groups of four, students will create an object that they can fill up and cover up. The object will be created from either straws, toothpicks, or craft sticks.

Assessment: Participation, quality of work, and group work.

2. Attend: Attending to the Connection

Objective: To analyze objects to determine if they can be filled and/or covered.

Activity: Discuss the characteristics of each object that allows the object to be filled. (3 dimensional, otherwise it would be just covered.) What would be necessary to cover the object? (2 dimensions)

Assessment: Participation in discussion.

Assessment, Phase One, Level of Engagement, Fascination:

3. Image: Creating a Mental Picture

Objective: To deepen the connection between filling up and the outside surface (cover) of a 3 dimensional figure.

Activity: Take two 5-by 8-inch cards and roll each into a tube, rolling one the short way and the other the long way. Tape them. Say to the class: "Suppose you filled each tube with rice or beans to compare how much each holds. Do you think each holds the same? If not, which one do you think holds more than the other? Why?" Have the students make these predictions and write them down. Fill the longer tube with beans or rice. Place the filled tube inside the shorter tube to show the difference. Then pour the beans or rice from the longer tube into the smaller tube. Did the results match the predictions? (Activity from About Teaching Math, Marilyn Burns)

Assessment: Student participation and attentiveness.

Assessment, Phase Two, Seeing the Big Picture:

4. Inform: Receiving Facts & Knowledge

Objective: To provide instruction based on the concept that the formulas used in finding volume and surface area are patterns that we use repeatedly no matter what the dimensions.

Activity: Present lessons on volume and surface area of geometric solids. The formulas that are used are patterns that we follow.

Assessment: Participation and notetaking.

Assessment, Phase Three, Success with Acquiring Knowledge:

5. Practice: Developing Skills

Objective: To provide practice in finding volume and surface area.

Activity: Guided practice, textbook exercises, worksheets and quizzes.

Assessment: Quizzes and tests.

Assessment, Phase Four, Success with Acquiring Skills:

6. Extend: Extending Learning to the Outside World

Activity: Go to patterns wheel 7

7. Refine: Refining the Extension

Activity: Go to patterns wheel 7

8. Perform: Creative Manifestation of Material Learned

Activity: Go to patterns wheel 7

Assessment, Phase Five,Performance, Creative Use of Material Learned: