pre2.1 - Review graphing quadratic functions using transformations
2.1 Vertex Form of a Quadratic
2.2 Standard Form of a Quadratic
2.3 Factored Form of a Quadratic (Completed Class Notes)
Review for 2A Test (Answer Key)
pre2.4 Simplifying Radicals review worksheet
2.4 Complex Numbers and Operations (Completed Class Notes)
Quiz #4 Review (2.4, only) (Answer Key)
2.5 Completing the Square
2.6 The Quadratic Formula (Completed Class Notes)
Review for 2B Test
- Worksheet + ANSWER KEY
2.1 Vertex Form of a Quadratic
- Day 1: Identify vertex, axis of symmetry, and direction + Practice (Completed Class Notes)
- Day 2: Writing Equations (Completed Class Notes)
- Extra Notes/Practice: MathWarehouse - Standard and Vertex Form of Equations
2.2 Standard Form of a Quadratic
- Day 1: Identify vertex and axis of symmetry (Completed Class Notes)
- Day 2: Graphing in standard form, identifying maximums/minimums (Completed Class Notes)
- Quiz #3 Review (Answer Key - it's a bit fuzzy, sorry)
- Extra Stuff: There's a really cool DESMOS graph that allows you to explore what the values of a, b, and c do to a graph in standard form, and what they do to the AoS, the vertex, and the y-intercepts. Explore, play, ask yourself what's really going on. Click HERE to get started.
2.3 Factored Form of a Quadratic (Completed Class Notes)
- Review of Factoring (Answer Key)
- Correction: #29 (z+12)(z-3) -- Thanks, Nemo!!!
- Ms. Richardson has some helpful videos on her website where she explains the same concepts. Please visit her site HERE to see those videos
- Correction: #29 (z+12)(z-3) -- Thanks, Nemo!!!
- Extra Notes: Purple Math - Solving Quadratic Equations by Factoring
Review for 2A Test (Answer Key)
pre2.4 Simplifying Radicals review worksheet
- Soln: She always talked about cap sizes
2.4 Complex Numbers and Operations (Completed Class Notes)
- Practice problems Answer Key
- Correction: #4, x= 9i, -9i (Thanks to Eric P.!!)
- Interesting video: "Imaginary Numbers are Real," by Welch Labs. This is not exhaustive, by any means, but Mrs. Moore found it really informative.
- For a bit more detailed history, here's Part 2, Part 3, Part 4, Part 5, Part 6, Part 7, Part 8, Part 9. There are several more videos which might be explored in your IB classes or even Calculus, but it's all pretty interesting to see the how and why of what makes 'imaginary' numbers essential to our mathematics.
- HELPFUL VIDEOS:
- From Khan Academy: Simplifying imaginary numbers
- From patrickJMT: Adding and subtracting complex numbers
- From patrickJMT: Multiplying and dividing complex numbers
Quiz #4 Review (2.4, only) (Answer Key)
- Corrections:
- #1g.) -38 + 69i (Thanks, Vansh!)
- #1h.) -14 + 13i (Again, thanks to Vansh!)
- #1n.) 50 - 14i (Thanks, Tianren!)
2.5 Completing the Square
- Day 1: When a = 1 (Completed Class Notes)
- Helpful info and extra practice: Math is Fun - Completing the Square
- Helpful videos: patrickJMT - Completing the Square or patrickJMT - More Examples by CTS
- Practice Answer Key
- Day 2: When a is NOT 1 and Rewriting in vertex form (Completed Class Notes)
- Extra notes/practice: From Mesa CC - Solving Equations by CTS
- Extra notes: PurpleMath.com - Completing the square to find the vertex
- Extra notes: Virtual Nerd - Converting into Vertex Form
- Practice Answer Key
2.6 The Quadratic Formula (Completed Class Notes)
- Extra notes: MathBitsNotebook.com - Quadratic Formula
- "Helpful" video: Quadratic Formula song
- Practice Answer Key
Review for 2B Test