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About this document
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- 20 pages
- Price
- $20 one-time, yours to keep
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- Subject
- Education, Mathematics
This document outlines a unit plan for teaching factoring polynomials. It includes learning outcomes, goals, and a sequence of lessons. It helps teachers plan and structure their lessons on this topic.
What's inside
- Goals and rationale for teaching factoring polynomials
- Desired learning outcomes and essential questions
- Scope and sequence of lessons
- Instructional resources and activities
- Assessment methods and evidence of learning
Who it is for: Students of an eighth-grade Advanced Algebra I course. (School)
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Summary
Factoring polynomials is a key skill in advanced algebra. This unit plan outlines a 10-day course to teach students how to factor polynomials using various methods.
Course Goals and Rationale
The unit aims to build on students' prior knowledge of prime factorization. It explains why factoring polynomials is important for solving equations. Students will learn to recognize different cases of polynomials and apply factoring methods to them.
Factoring Methods and Practice
The plan describes how to teach students to factor polynomials using the greatest common factor (GCF) and the distributive property. It includes guided and independent practice exercises for factoring trinomials and binomials. Students will learn to identify and factor differences of squares and perfect square trinomials.
Factoring by Grouping and Zero Product Property
This part of the plan covers factoring by grouping and introduces the zero product property. Students will practice factoring expressions with four terms and solving equations using the zero product property. The plan includes a summary of the factoring methods covered.
Assessment and Reflection
The unit plan outlines how the teacher will assess student understanding through homework, quizzes, and a unit test. The teacher will also reflect on student learning and adjust instruction as needed. Students will have opportunities to review and practice factoring methods throughout the unit.
Key terms
- Factoring polynomials
- Rewriting a polynomial as the product of its prime factors.
- Greatest common factor (GCF)
- The largest factor that divides each term of a polynomial.
- Distributive property
- A property used to factor out the GCF from a polynomial.
- Trinomials
- Polynomials with three terms.
- Zero product property
- If the product of two or more factors equals zero, then at least one of the factors must be zero.
- Factoring by grouping
- A method used to factor polynomials with four terms by grouping them into pairs.
Questions this document helps with
- How do you factor a polynomial using the GCF?
- What is the zero product property?
- How do you factor a trinomial with a leading coefficient?
Summary written with AI from the document's text.
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