Provide a metaview, lifting students into a wider view of the concept. Use another medium (not reading or writing) to connect students' personal knowing to the concept (i.e. visual arts, music, movement, metaphor, etc.) Involve learners in reflective production that blends the emotional and the cognitive.

In pairs, students will do 3 puzzles. Discuss solutions

Objective: To integrate the previous experience and discussion into the concept of patterns. To experience the importance of finding a pattern as a solution to a problem. To experience a solution which involves "seeing" from a different viewpoint.

Activity: Students work in pairs to solve three puzzles. Envelopes containing puzzle pieces are identified on the outside as "circle," "square," and "horse." Each group of students is asked to take an envelope labeled "circle" and empty the pieces onto their desk. They are told to work together to find a way to arrange the pieces and form a circle. Teacher monitors student progress. After all or most pairs have computed the puzzle, the teacher can demonstrate the solution using pre-cut pieces on an overhead projector. Follow the same procedure for the "square" puzzle which is a tangram and then the "horse" puzzle. The horse puzzle is an ancient Chinese puzzle which involves placing two riders which are in the proper position on the horses. No flipping or overlapping is allowed. This puzzle involves being able to visualize the given pieces in several ways. Follow up discussion on what is important in working the puzzles, does looking for patterns help work the puzzles? Where have they seen or worked with patterns before (in math or elsewhere)? Examples: Art, English (Poetry), Chemistry, History ("History repeats itself"), Algebra II (patterns seen in multiplication unit just completed, in problem solving in math courses, geometry). Focus attention on the importance of patterns in life, jobs/careers where patterns are important--Electrician (circuit design), Fabric/wallpaper designs, Architect (building designs), Civil Engineer, Accountant, Music (Symphony), etc.

Assessment: Quality of discussion and participation. Creativity in finding solutions to puzzles. Quality of understanding of pattern concept in math and daily life.