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Creating a Mental Picture

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.


Hands on activities. Students will stack cans, cut paper, place jelly beans in jar, and beans in a can.

Objective: To add to the students understanding of the concept of sequence.

Activity: Students working in five groups will be given a bag or box with instructions for completing four tasks. The tasks include stacking cans, placing jelly beans in a jar, placing beans in a can, and cutting paper. (Two groups will stack cans.) Instructions for the tasks are as follows: Allow each group 6 to 8 minutes to complete a task before moving to the next. JELLY BEANS: Determine how many jelly beans you want to put in the jar to start. Continue putting the same number in the jar until the jar is filled or the jelly beans are gone. How many did you decide to put in each time? How many "additions" were made to the jar? What is the total number of jelly beans in the jar? Is there a way to determine this without counting all the jelly beans? BEANS: Put one bean in the jar. Put twice as many beans in the jar. Continue putting twice as many beans in the jar as previously. Continue until all the beans are gone. What starts happening to the number of beans put in each time? How do the "number" of beans compare? What is the total number of beans in the jar? How did you arrive at this figure? How many times did you "add" beans to the jar? STACKING CANS (or CUPS) Stack the cans (cups) given to you to form a pyramid. How did you start? How many cans (cups) in each row? How does the number of cans in the bottom row compare to the number of cans in the top row? What is the total number of cans in the stack? Is there a way to figure it out without counting all the cans?

Assessment: Group participation, adherence to guidelines and ability to complete each task.

 

Sequences

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Subject:

Math

Grade:

High School

Concept:

Patterns

Bridge:

Progressions

Content:

Sequence and Series

Viewable by:

Everyone!

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