CCGPS Mathematics Unit-by-Unit Grade Level Webinar Analytic Geometry Unit 5: Quadratic Function September 17, 2013 Session will be begin at 8:00 am While you are waiting, please do the following: Configure your microphone and speakers by going to: Tools – Audio – Audio setup wizard Document downloads: When you are prompted to download a document, please choose or create the folder to which the document should be saved, so that you may retrieve it later.

CCGPS Mathematics Unit-by-Unit Grade Level Webinar Analytic Geometry Unit 5: Quadratic Functions September 17, 2013 James Pratt – Brooke Kline – Secondary Mathematics Specialists These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.

The big idea of Unit 5 Incorporating SMPs into quadratic functions Resources Welcome!

Number of Standards in Unit 5 My HS math teachers are collaboratively planning this week and are having some serious panic attacks with this unit (AG Unit 5). Their general consensus is that this unit is an entire course in and of itself considering that these students have little or no experience at all with quadratics. Wiki/ Questions

Complex numbers and quadratics Complex numbers are in Unit 4 and Quadratics are in Unit 5 of Analytic Geometry. Does this seem backwards? Wiki/ Questions

Which of the following could be the function of a real variable x whose graph is shown below? Explain. Adapted from Illustrative Mathematics F-IF Which Function?

What’s the big idea? Interpret the structure of expressions. Write expressions in equivalent forms to solve problems Create equations that describe numbers or relationships Solve equations and inequalities in one variable Solve systems of equations Interpret functions that arise in applications in terms of the context Analyze functions using different representations Build a function that models a relationship between two quantities Build new functions from existing functions Construct and compare linear, quadratic, and exponential models and solve problems

What’s the big idea? Standards for Mathematical Practice

What’s the big idea? SMP 1 – Make sense of problems and persevere in solving them SMP 2 – Reason abstractly and quantitatively

Mathematical Understanding? understand-mathematics/

understand-mathematics/ Procedural skill and fluency Conceptual understanding The ability to apply mathematics Mathematical Understanding?

Coherence and Focus K-9th  Algebraic expressions  Properties of operations  Rational and irrational numbers  Radicals and integer exponents with numerical expressions 11th-12th  Polynomial identities and equations  Polynomial, square root, and cube root functions

Examples & Explanations Adapted from Illustrative Mathematics A-SSE Profit of a Company

Examples & Explanations Adapted from Illustrative Mathematics A-SSE Profit of a Company

Examples & Explanations Adapted from Illustrative Mathematics A-REI Two Squares are Equal

Examples & Explanations Adapted from Illustrative Mathematics F-IF, A-REI Springboard Dive

Examples & Explanations Adapted from Illustrative Mathematics F-IF, A-REI Springboard Dive

Examples & Explanations Adapted from Illustrative Mathematics F-IF, A-REI Springboard Dive

Examples & Explanations Adapted from Illustrative Mathematics F-IF, A-REI Springboard Dive

Examples & Explanations Adapted from Illustrative Mathematics F-IF, A-REI Springboard Dive

Examples & Explanations Adapted from Illustrative Mathematics F-IF, Throwing Baseballs How long is each baseball airborne?

Examples & Explanations Adapted from Illustrative Mathematics F-IF, Throwing Baseballs

Examples & Explanations Adapted from Illustrative Mathematics F-IF, Throwing Baseballs

Adapted from Illustrative Mathematics F-IF Which Function?

Assessment – Released Items We have posted a set of released […] EOCT items to the GaDOE website. In addition to the item booklet itself, you will find commentary and field test performance data. […] The items are posted on the EOCT webpage, under the link 'EOCT Resources.' A direct link to this webpage is provided below. Please scroll down the page and look under the heading 'Other Documents and Resources.' […] Resources.aspxhttp:// Resources.aspx ~ Dr. Melissa Fincher, Associate Superintendent for Assessment and Accountability (excerpt from an sent to K-12 Assessment Directors from Dr. Fincher)

Assessment – Released Items

A % B % C % D %

Resource List The following list is provided as a sample of available resources and is for informational purposes only. It is your responsibility to investigate them to determine their value and appropriateness for your district. GaDOE does not endorse or recommend the purchase of or use of any particular resource.

CCGPS Resources  SEDL videos - or  Illustrative Mathematics -  Mathematics Vision Project -  Dana Center's CCSS Toolbox -  Common Core Standards -  Tools for the Common Core Standards -  LearnZillion - Assessment Resources  MAP -  Illustrative Mathematics -  CCSS Toolbox: PARCC Prototyping Project -  Smarter Balanced -  PARCC -  Online Assessment System - Resources

Professional Learning Resources  Inside Mathematics-  Annenberg Learner -  Edutopia –  Teaching Channel -  Ontario Ministry of Education -  Achieve - Blogs  Dan Meyer –  Robert Kaplinsky - Books  Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8

Feedback James Pratt – Brooke Kline –

Thank You! Please visit to share your feedback, ask questions, and share your ideas and resources! Please visit to join the 9-12 Mathematics listserve. Follow us on Brooke Kline Program Specialist (6 ‐ 12) James Pratt Program Specialist (6-12) These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.