This is the fourth unit of a curriculum is for an Algebra course
. This unit is Quadratic Functions Part 2 - the second of two quadratic units. Part 2 deals with non-factorable quadratics and quadratics with imaginary roots. It introduces students to completing the square, the quadratic formula, and complex numbers. (Part 1
deals with factorable quadratic equations with real roots.)
This Unit includes:
* A student note-taking sheet which includes: daily objective, example problems, new concepts/vocab, a blank space for notes and examples.
* A teacher version of the note-taking sheet which includes: Definitions for new concepts/vocab, key points for the lesson, and common misunderstandings that students may have in that lesson.
* Unit assessment which includes: the assessment itself, a blank student answer sheet, and an answer key.
The objectives in this unit are:
4.1—SWBAT convert quadratic equations from standard form to vertex form by completing the square.
4.2—SWBAT solve quadratic equations by completing the square.
4.3—SWBAT solve quadratic equations using the quadratic formula.
4.4—SWBAT calculate the discriminant of a quadratic equation.
4.5—SWBAT use the discriminant to describe the number and type of solutions.
4.6—SWBAT define imaginary and complex numbers.
4.7—SWBAT add and subtract complex numbers.
4.8—SWBAT multiply complex numbers.
4.9—SWBAT divide complex numbers.
4.10—SWBAT solve quadratic equations with complex roots.
4.11—SWBAT solve real-world problems modeled by quadratic equations.
Depending on your needs you could use the materials as-is, pick and choose specific lessons, or use it as a resource to design your own curriculum and lessons. If you anticipate needing the whole curriculum, you can purchase all six units
together, which also includes a final exam and some introductory materials.
When I used this with my students, I bound (saddle stitch) each unit of the student note templates, 3-whole punched them, and gave them to students to put in a binder. Each day students filled wrote in their examples and notes and thus made an individual "text book". They loved it.
NOTE: The download includes a PDF and Word Document version of the curriculum. However, the PDF is the primary product. The Word document is provided as a convenience in case you would like to make edits, but was automatically generated from the PDF document and has some formatting quirks. The original documents were created in Microsoft Publisher. If you purchased this document and would like any of the original Publisher files, feel free to contact me directly.