CCGPS Mathematics Unit-by-Unit Grade Level Webinar Accelerated Analytic Geometry B/Advanced Algebra Unit 6: Polynomial Functions September 5, 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 Accelerated Analytic Geometry B/Advanced Algebra Unit 6: Polynomial Functions September 5, 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 6 Incorporating SMPs into polynomial functions Resources Welcome!

I’ve noticed that many of the standards are the same from previous units and courses, do we have to teach them again? Wiki/ Questions

Trina has a conjecture: “Pick any two integers, Look at the sum of their squares, the difference of their squares, and twice the product of the two integers you chose. Those three numbers are the sides of a right triangle.” Is Trina’s conjecture true? Adapted from Illustrative Mathematics A-APR Trina’s Triangles

“Pick any two integers, Look at the sum of their squares, the difference of their squares, and twice the product of the two integers you chose. Those three numbers are the sides of a right triangle.” Is the conjecture true, if so prove it, if not modify it to be true and show it is true. Adapted from Illustrative Mathematics A-APR Trina’s Triangles

What’s the big idea? Use complex numbers in polynomial identities and equations. Interpret the structure of expressions. Write expressions in equivalent forms to solve problems. Perform arithmetic operations on polynomials. Understand the relationship between zeros and factors of polynomials. Use polynomial identities to solve problems. Solve systems of equations. Represent and solve equations and inequalities graphically. Analyze functions using different representations.

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 SMP 3 – Construct viable arguments and critique the reasoning of others SMP 4 – Model with mathematics SMP 5 – Use appropriate tools strategically

Resources

Coherence and Focus K-9 th  Rewrite expressions  Linear functions  Quadratic functions 11th-12th  Solve and graph functions  Model with functions.

Examples & Explanations Adapted from Illustrative Mathematics A-APR Zeroes and factorization of a general polynomial

Examples & Explanations Adapted from Illustrative Mathematics A-APR Zeroes and factorization of a general polynomial

Examples & Explanations Adapted from Illustrative Mathematics A-APR Zeroes and factorization of a general polynomial

Examples & Explanations Susan has an ear infection. The doctor prescribes a course of antibiotics. Susan is told to take 250 mg doses of the antibiotic regularly every 12 hours for 10 days. Susan is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours. About 4% of the drug is still in the body. Adapted from Illustrative Mathematics A-SSE Course of Antibiotics

Examples & Explanations Susan has an ear infection. The doctor prescribes a course of antibiotics. Susan is told to take 250 mg doses of the antibiotic regularly every 12 hours for 10 days. Susan is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours. About 4% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose? Adapted from Illustrative Mathematics A-SSE Course of Antibiotics

Examples & Explanations Adapted from Illustrative Mathematics A-SSE Course of Antibiotics

Examples & Explanations Adapted from Illustrative Mathematics A-SSE Course of Antibiotics

Examples & Explanations Adapted from Illustrative Mathematics A-SSE Course of Antibiotics

Examples & Explanations Adapted from Illustrative Mathematics A-SSE Course of Antibiotics

Examples & Explanations Common Core State Standards Video Series: Grade: 9 – 12, Mathematics 9 – 12.N.CN.8

Trina has a conjecture: “Pick any two integers, Look at the sum of their squares, the difference of their squares, and twice the product of the two integers you chose. Those three numbers are the sides of a right triangle.” Is Trina’s conjecture true? Adapted from Illustrative Mathematics A-APR Trina’s Triangles

Adapted from Illustrative Mathematics A-APR Trina’s Triangles

Adapted from Illustrative Mathematics A-APR Trina’s Triangles

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)

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.