Objective

The objective of this lesson is for the student to understand and be able to add polynomials in algebra.

Materials and Prep

• Paper
• Pencil

Prior knowledge of basic algebraic operations, including addition and subtraction of integers and variables, is required.

Activities

1. Activity 1: Introduction to Polynomials

Start by discussing the definition of a polynomial and examples of polynomials. Explain that a polynomial is an algebraic expression with one or more terms, where each term consists of a coefficient and a variable raised to a power. Provide examples and ask the student to identify the coefficients and variables in each term.

2. Activity 2: Adding Polynomials

Introduce the concept of adding polynomials. Explain that when adding polynomials, we combine like terms by adding their coefficients. Provide examples and guide the student through the process of adding polynomials step by step. Encourage the student to simplify the resulting expression by combining like terms.

3. Activity 3: Practice Problems

Give the student a set of practice problems involving addition of polynomials. Start with simple examples and gradually increase the complexity. Provide feedback and guidance as needed.

Sixth Grade Talking Points

• Polynomials are algebraic expressions with one or more terms.
• Each term in a polynomial consists of a coefficient and a variable raised to a power.
• When adding polynomials, we combine like terms by adding their coefficients.
• It is important to simplify the resulting expression by combining like terms.