# Factoring Trinomials by Using the Punnett Square

Factoring is one of the first places in math that a young algebrist runs into multiple ways to work a problem. For the more concrete learner who needs a visual structure for problem solving, this presentation of factoring using a Punnett Square works fabulously. Beginning with a leading coefficient of 1 and all positive values, these examples progress through more complex coefficients and signs gradually. The narrator explains the attack method for each problem thoroughly, building on skills from previous examples. A great introduction or refresher to one of the more powerful factoring methods.

CCSS: Designed

##### Instructional Ideas

• Consider linking online on a class website for pre-class viewing in a flipped classroom or for on-demand remediation while learners work independent practice problems
• Include as one of several approaches to factoring, in a kind of choose-your-method suite of factoring tools
• Extend by having learners develop word problems, i.e. area of rectangles problems, that would result in the given quadratic equations
##### Classroom Considerations

• Presentation requires Internet access
• No mention of situations where the trinomial cannot actually be factored
• Consider pausing the examples before the narrator works them to allow for questions and seatwork of problems before video explanation
• Learners with weaknesses in finding the GCF of a pair of terms might struggle disproportionately to the rest of the class
##### Pros

• Calm and approachable narration
• Attack strategies remain consistent throughout the different examples
• Each problem is worked thoroughly and step-by-step
• Examples start with the most basic and gradually become more complex as features are changed one-by-one
##### Cons

• No problems for post-presentation practice provided
• Printable slides or note pages to go along with the presentation are not available