I. Curricular Framework

Concept:

Representation

Essential Question:

What major roles do symbols play in our lives?

Bridge:

Mapping

Content:

Math Symbols- Operations and Properties with Integers

Outcomes:

II. Standards Aligned

III. Instruction and Assessment

1. Connect: Connecting to the Concept Experientially

Objective: To create an image of distance, direction, and opposites.

Activity: View a teacher-made video illustrating opposite directions and indicating distance: roller coaster, ball bouncing, up/down, escalators, elevators, see-saw, children swinging, road signs, etc.

Assessment: Attentiveness to video, participation in brainstorming for commonality of video.

2. Attend: Attending to the Connection

Objective: To analyze video experience. Students will realize that every direction has an opposite and direction includes distance. Therefore, there is a need for integers/rational numbers and zero.

Activity: Discuss/list/analyze students' ideas about video: opposite direction, distance, need for numbers.

Assessment: Participation in discussion.

Assessment, Phase One, Level of Engagement, Fascination:

3. Image: Creating a Mental Picture

Objective: To deepen the connection between integers and their relationship to distance, direction, and opposites.

Activity: In groups, create and write a set of directions for a multiple-clue treasure hunt using a system of the group's own design-using signs and numbers. No words or letters are allowed. Groups should be allowed the freedom to leave the classroom to create an accurate set of direction to find the treasure on the school campus. Groups will exchange and follow clues to test their validity.

Assessment: Quality of teamwork and accuracy of understanding.

Assessment, Phase Two, Seeing the Big Picture:

4. Inform: Receiving Facts & Knowledge

Objective: To provide instruction on operations and properties with integers.

Activity: Teacher uses positive/negative chips as manipulatives. Teacher models opposites, absolute value, adding like/unlike signs, subtracting, multiplication, and division. Students "discover" rules.

Assessment: Participation with manipulatives, notetaking of examples.

Assessment, Phase Three, Success with Acquiring Knowledge:

5. Practice: Developing Skills

Objective: To practice skills with integers and rational numbers.

Activity: Students practice skills using textbook exercises, worksheets and quizzes.

Assessment: Quizzes and tests.

Assessment, Phase Four, Success with Acquiring Skills:

6. Extend: Extending Learning to the Outside World

7. Refine: Refining the Extension

8. Perform: Creative Manifestation of Material Learned

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