• If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

• You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!

View

A1-A-3-3

last edited by 6 years, 5 months ago

A1.A.3.3  Factor common monomial factors from polynomial expressions and factor quadratic expressions with a leading coefficient of 1.

In a Nutshell

Students will factor polynomial expressions, including quadratics.  They will factor out the greatest common factor from polynomials of any degree and factor quadratics with a lead coefficient of one into two binomials.

Teacher Actions

• Students will develop accurate and appropriate procedural fluency by finding the factors of a polynomial expression or quadratic equation.

• Students will develop a deep and flexible conceptual understanding by comparing the quadratic equations and their graphs to see that the factors are solutions called x-intercepts (zeros) of the graphed equation.

• Students will develop mathematical reasoning when they observe and explain how factoring is the reverse of distributing.

• Use and connect mathematical representations by helping students discover the relationships between quadratic equations and their graphs, including those that model real-world situations.

• Pose purposeful questions that guide students toward discovering factors of expressions.

• Implement tasks that promote reasoning and problem solving by guiding students to interpret the mathematical relationship in the original context of the problem algebraically

Misconceptions

• Students will factor the greatest common factor from each term in a polynomial expression.

• Students can identify the x-intercepts (roots) of the quadratic equation by factoring.

• Students may forget to factor the greatest value possible from an expression before beginning to factor the polynomial.

• Students may not take the real-world context for a quadratic relationship into account when giving solutions, causing them to include solutions that would not fit the situation.

• Students may not identify the correct sign of the factors involved.

OKMath Framework Introduction

Algebra 1 Introduction

Comments (0)

You don't have permission to comment on this page.