I. Curricular Framework

Concept:

Patterns-wheel 6 of 7

Essential Question:

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

Bridge:

What’s My Rule

Content:

Graphing Equations and Inequality Functions

Outcomes:

II. Standards Aligned

III. Instruction and Assessment

1. Connect: Connecting to the Concept Experientially

Objective: To create an awareness that machines represent a pattern in the fact that the same action is taken on any input resulting in an output.

Activity: View clips from videos, "Sneetches" by Dr. Seuss and "Willy Wonka and the Chocolate Factory" or view a teacher-made video of machines in which there is input, an action taken and a resulting output. For example, change machines, coke machines, car washes, french fry cutters, tortilla machines, toasters, popcorn poppers, clothes dryers, washing machines.

Assessment: Attentiveness to video.

2. Attend: Attending to the Connection

Objective: To determine the commonality of the videos.

Activity: Discuss what was viewed in the videos. Students determine the commonality. In the "Sneetches", the sneetches were put into a machine and all had stars put on their stomachs. The same thing (pattern) happened to each of them. There was an input and then there was an ouput after the same action was taken.

Assessment: Participation in discussion.

Assessment, Phase One, Level of Engagement, Fascination:

3. Image: Creating a Mental Picture

Objective: To deepen the connection between machines and functions/equations.

Activity: Play "What's My Rule" with the class. Teacher gives a number and the result of some operations on that number. Several examples will be given involving the same operation. Students will guess the "rule" or operations. The idea of the same operations being performed on the numbers is the pattern...the same thing that repeats.

Assessment: Participation in game.

Assessment, Phase Two, Seeing the Big Picture:

4. Inform: Receiving Facts & Knowledge

Objective: To provide instruction on functions and graphing.

Activity: Present instruction on: Graphing equations and inequalities on a number line. Solving inequalities by graphing on a number line. Graphing equations in two variables. Writing equations for lines.

Assessment: Participation in class and notetaking.

Assessment, Phase Three, Success with Acquiring Knowledge:

5. Practice: Developing Skills

Objective: To provide practice in graphing and functions.

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: