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Topic:
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Mathematics/Algebra 1/Polynomials
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Objective:
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To help students visualize the meaning as well as the mechanical rule of multiplying polynomials
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Pre-requisites:
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Monomials
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Grade Level:
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6, 7, 8, 9, 10, 11, 12, Adult/Continuing Education
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Resources/Materials:
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Visual Algebra 1 Software - Polynomials
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Estimated Time:
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20 minutes
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Procedure:
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Step 1 - To lead into the lesson plan, start by briefly reviewing monomials. Then, ask questions such as "What does the sum represent when adding two monomials together, such as x + 1, if x stands for the length of a line segment? What about y + 2? Then, (x+1)(y+2)?"
You may ask any similar questions to help students develop the connection between the product of two monomials and any reasonable physical quantity.
Step 2 - Ask the students to read the content section of Visual Algebra 1/Polynomials.
Step 3 - Conduct the experiment of Visual Algebra 1/Polynomials. Note what each polynomial represents, what the product represents, what the expanded expression represents.
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Assessment:
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- Ask the students to summarize what each of the polynomials involved in the product means.
- Ask what the product represents.
- Ask what the expanded expression represents.
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