Polynomials


  • Complete the Square for Vertex Form

    Complete the Square for Vertex Form

    This post provides a handout that guides students through the various steps for completing the square to transform an equation into vertex form. Students are guided through each step in isolation. Overview Students are presented each step in a separate chunk of the lesson. Then the steps are chained together, with scaffolding that is faded.…


  • Power Rules on a Google Jamboard

    Power Rules on a Google Jamboard

    Exponents and Basic exponent rules are challenging. The Power Rules add another layer of challenge. This post outlines an instructional approach. The original problem is decomposed and then recomposed to show how the underlying concepts of the Power and Power of a Product Rules. Overview The Jamboard is configured in similar fashion as the Jamboard…


  • Exponent Rules with Jamboard

    Exponent Rules with Jamboard

    The Product and Quotient Rules are challenging largely because there are few ways to present them in an accessible format. This post outlines an approach using manipulatives on a Google Jamboard. Jamboard The Jamboard activity involves using moveable variables as manipulatives to provide a hands on approach to learning the rules. The first slide presents…


  • Speeding Up and Slowing Down on a Graph looking at Velocity and Acceleration

    Speeding Up and Slowing Down on a Graph looking at Velocity and Acceleration

    We all understand speed intuitively. Velocity and acceleration are more mathy and harder for many students to comprehend, especially on a graph. Even harder is the idea of when an object is slowing down or speeding up. In this post I attempt to unpack both. Velocity is speed with a direction. Negative in this case…


  • Intro to Factoring Out GCF – Scaffolded and Jamboard

    Intro to Factoring Out GCF – Scaffolded and Jamboard

    The post shows a lesson to introduce factoring out a GCF. Factoring (and multiplication proficiency) are challenging for many students. Overview The handout is chunked to incrementally add task demands. A Jamboard is used as a complement to flesh out the concept of a factoring by allowing engaging the student kinesthetically, with scaffolding as guidance.…


  • Graphing a Quadratic Function in Vertex Form – Scaffolded Handout

    Graphing a Quadratic Function in Vertex Form – Scaffolded Handout

    Here is a scaffolded handout. The first problem has additional scaffolding to convert from addition to subtraction and vise versa. The first problem does not require the transformation of the operations but the second one does.


  • Completing the Square – Scaffolded Handout

    Completing the Square – Scaffolded Handout

    Here is a link to a scaffolded handout with all the steps, including the step to convert the lead coefficient to 1. The scaffolding is complex because the math topic is complex. There is an example showing how to use the document.