Note: this is a simply designed lesson focused on the Thinking Classroom (TC) structure. I left out the commentary that would explain the teacher moves that go with the TC and how to run a "What do you Notice". The goal for students is specific, factor by grouping. Objectives:
~Preknowledge:
Lesson: Have the students multiply the two problems pictured below (using the area model). Then have the class do a Notice/Wonder with the results. (the problems were designed to be very similar with minimal changes to help focus on the difference in the factors that create a 4-term polynomial instead of a trinomial). Send the students to the whiteboards in random groups to factor the progression of problems that can be factored with grouping (using an area model) Make sure to finish with a 4-term polynomial that cannot be factored by grouping. Have students take notes on what they learned. Here are the google slides I used to teach during distance learning. The slides contain the problems ready to be copy/pasted into a jamboard.
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Note: this is a simply designed lesson focused on the Thinking Classroom (TC) structure. I left out the commentary that would explain the teacher moves that go with the TC and how to run a "What do you Notice". The goal for students is specific, factor sum and difference of cubes. Objectives:
~Preknowledge:
Lesson: What do you notice: factorizations of difference of squares (focus on the factors contain the square root of the original terms) What do you notice: factorizations of sum and difference of cubes (focus on the first factor and how it is the cube roots of the original terms, the contents of the 2nd factor are not important until they figure it out during the TC portion) Move students to the whiteboards in random groups. Give one problem at a time where students figure out the factoring. The last problem needs to have a monomial factored out first. Finish with students taking notes on what they learned.
Final Thoughts: I am not sure if giving the students a 2 by 3 box to start with is too much scaffolding. I will play around with this in the future. Here are the google slides I used for distance learning. The images are ready to be copy/pasted in the jamboard. |
AuthorI teach mathematics for grades 7-12. Teaching mathematics is my passion. Archives
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