This unit is designed with UDL principles in mind and a humble attempt to provide a lesson plan model for teachers interested in integrating UDL in their classroom repertoire. Those principles provide ideas such as leveraging existing technologies to engage teachers in adopting instructional strategies that enhance learning experiences of their students (Annot 01, All). The unit assumes students' prerequisite general understanding of linear functions and relations. The following support for this prerequisite or background knowledge is provided here: (Video Lecture, Online Resource, Printable Text Reference, Interractive Software)
While the content or topic focus is on quadratic functions, the overall unit goal is for students to demonstrate the transformation of a quadratic function and analyze it for various solutions through multiple representations. The unit can be divided into one 90-minute lessons or two 45-minute lessons. This time allocation may be "recalibrated" as needed to support appropriate attention for various activities to accommodate differentiated instructions.
Teacher will engage students in both formal and informal approach to introduce the topic of 2nd degree polynomial functions or quadratic. He will provide brief background knowledge by engaging the students in exploration activities that allow them to make connections and arrive at an understanding of quadratic functions (Annot 02, All). To enhance and sustain engagement, students will be immersed in various modalities such as multimedia, online manipulatives and group activities to achieve the learning goals.(Annot 03, ALL)
CA Standards Addressed:
8.0 Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula. Students apply these techniques in solving word problems. They also solve quadratic equations in the complex number system.
9.0 Students demonstrate and explain the effect that changing a coefficient has on the graph of quadratic functions; that is, students can determine how the graph of a parabola changes as a, b, and c vary in the equation y = a(x-b) 2+ c.
1. Understand patterns, functional representations, relationships and functions.
2. Analyze and create multiple representations of mathematical situations and structures using algebraic symbols.
3. Specify and describe locations and spatial relationships using coordinate geometry and other representational systems.