Desmos, Equations, and Inequalities

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Kelly Remijan PD/Curriculum Specialist Illinois Mathematics & Science Academy (IMSA) Housekeeping Issues • This webinar will be recorded. • All participants should be muted with video turned off. • Please type questions in the chat box and they will be addressed following the presentation. • If you have more questions or need more help after the webinar: ▪ Email me at [email protected] to set up a FREE 1:1 Zoom help session ▪ Make an appt with IMSA’s “Ask a Specialist” experts ✓Sign up at: https://www.imsa.edu/educator-development/e-teaching-resources/ Who is IMSA? The Illinois Mathematics and Science Academy, or IMSA, is a three-year residential public secondary education institution in Aurora, Illinois, with an enrollment of approximately 650 students. Enrollment is generally offered to incoming sophomores, although younger students who have had the equivalent of one year of Algebra and a 9th grade science equivalent are eligible to apply. All applicants undergo a competitive admissions process. Due to its nature as a public institution, there are no charges related to tuition, room and board; however, there is an annual student fee which may be reduced or waived based on family income. IMSA has been consistently ranked by Newsweek as one of the top ten high schools in the country for math and science, and some of its graduates have moved on to become leaders in a variety of fields. It is the top-rated public high school in Illinois on Niche.com.

Mission: To ignite and nurture creative, ethical, scientific minds that advance the human condition.

Who is the IMSA Center for Teaching and Learning? IMSA offers professional development sessions on mathematics, science, technology, and pedagogy for pre-service and in-service educators and administrators. These professional development opportunities align with IMSA’s signature strategy of learning: Inquiry-Based, Problem- Centered, Competency-Driven and Integrative. Professional learning opportunities include events held at IMSA, sessions presented at conferences, and workshops delivered in schools across the state and beyond. Educator workshops can be customized to meet any school’s specific needs. Learning objectives for this webinar:

• Discover how equations and inequalities can be used to create flags in Desmos ✓ Learn how to insert, resize, and share an image ✓ Learn how to graph equations and inequalities ✓ Learn how to restrict domain and range https://digitalcommons.imsa.edu/pfs_tr/3

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM Go to Desmos.com & “Start Graphing”

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM Click and click “Image” to add a flag that you have already saved

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM Click the width and height and change as appropriate

Flag image resource: https://www.britannica.com/ topic/flag-of-the-Republic-of- the-Congo Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM This flag is now 12 x 18 which is consistent with its 2:3 aspect ratio

Flag image resource: Created/Presented By: https://www.britannica.co Kelly Remijan, PhD m/topic/flag-of-the- @Teachers4STEAM Republic-of-the-Congo Click to share the graph

Flag image resource: https://www.britannica.co m/topic/flag-of-the- Republic-of-the-Congo Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM Copy the link and share

Flag image resource: https://www.britannica. com/topic/flag-of-the- Republic-of-the-Congo Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM https://digitalcommons.imsa.edu/pfs_tr/3

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM Graphing Linear Equations

VIDEO

Created/Presented By: Kelly Remijan, PhD VIDEO @Teachers4STEAM Restricting DOMAIN & RANGE

VIDEO

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM VIDEO https://digitalcommons.imsa.edu/pfs_tr/3

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM https://digitalcommons.imsa.edu/pfs_tr/3

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM Graphing Inequalities with Restrictions

VIDEO

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM https://digitalcommons.imsa.edu/pfs_tr/3

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM Graphing Compound Inequalities with Restrictions

Flag Created in Desmos By: Kelly Remijan, PhD @Teachers4STEAM Traveling Beyond Africa… Replicating the Flag of Trinidad & Tobago

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM Traveling Beyond Africa… Replicating the Flag of Trinidad & Tobago

Flag image resource: https://www.britannica.com /topic/flag-of-the-Republic- of-the-Congo

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM Traveling Beyond Africa… Replicating the Flag of Trinidad & Tobago

Flag image resource: https://www.britannica.co m/topic/flag-of-the- Republic-of-the-Congo

Flag created in Desmos by Kelly Remijan Inspired By: Remijan, K.W. (Jan/Feb 2019). "STEAMing Up Linear Functions". Mathematics Teacher. 250-256. https://www.nctm.org/Publications/Mathematics- Teacher/2019/Vol112/Issue4/STEAMing-Up- Linear-Functions/ Traveling Beyond Africa… Replicating the Flag of Trinidad & Tobago

Flag created in Desmos by Kelly Remijan Inspired By: Remijan, K.W. (Jan/Feb 2019). "STEAMing Up Linear Functions". Mathematics Teacher. 250-256. https://www.nctm.org/Publications/Mathematics- Teacher/2019/Vol112/Issue4/STEAMing-Up-Linear- Functions/ Traveling Beyond Africa… Replicating the Flag of Trinidad & Tobago

Flag created in Desmos by Kelly Remijan Inspired By: Remijan, K.W. (Jan/Feb 2019). "STEAMing Up Linear Functions". Mathematics Teacher. 250-256. https://www.nctm.org/Publications/Mathematics- Teacher/2019/Vol112/Issue4/STEAMing-Up- Linear-Functions/ Graphing Beyond Lines…Circles Replicating the Flag of Bangladesh

Left Side of Flag: x = -4.5 Right Side of Flag: x =5.5 Bottom of Flag: y= -3 Top of Flag: y= 3 Circle: 푥2 + 푦2 = 4

Flag Math of Bangladesh- https://commons.wikimedia.org/wiki/File:Bangladesh_National_Flag_construct.svg Graphing Beyond Lines…Circles Replicating the Flag of Bangladesh

Flag Created in Desmos By: Kelly Remijan, PhD @Teachers4STEAM Graphing Beyond Lines……Circles Replicating the Flag of Bangladesh

Flag Created in Desmos By: Kelly Remijan, PhD @Teachers4STEAM Graphing Beyond Lines…Circles Replicating the Flag of Bangladesh

Flag Created in Desmos By: Kelly Remijan, PhD @Teachers4STEAM Lines and Absolute Value Graphs Replicating the Flag of Palestine

Replication of the flag of Palestine Created in Desmos By: Kelly Remijan, PhD @Teachers4STEAM Lines and Absolute Value Graphs Replicating the Flag of Israel

Flag Source: https://www.britannica.com/topic/flag-of-Israel Lines and Absolute Value Graphs Replicating the Flag of Israel

Created/Presented By: Kelly Remijan, PhD @Teachers4STEAM

Flag Source: https://www.britannica.com/topic/flag-of-Israel Lines and Absolute Value Graphs Replicating the Flag of Israel

Flag Source: https://www.britannic a.com/topic/flag-of- Israel

Replication of the Flag of Israel Created in Desmos By: Kelly Remijan, PhD @Teachers4STEAM Lines and Absolute Value Graphs Replicating the Flag of Israel

Replication of the Flag of Israel Created in Desmos By: Kelly Remijan, PhD @Teachers4STEAM Have students create their own flags using Desmos??

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A PDF of this presentation can be found NOW via the link shared within the chat box.

This webinar recording, PDF, and transcript will be posted online in a few days: https://digitalcommons.imsa.edu/covideos_19_webinars/

Your feedback is appreciated. Please complete a short online survey at: https://tinyurl.com/umdkyau Additional Resources:

1. Desmos www.desmos.com

2. Flags https://www.britannica.com/

3. What Country is It in Africa? (Handout) https://digitalcommons.imsa.edu/pfs_tr/3

4. STEAMing Up Linear Functions Remijan, K.W. (Jan/Feb 2019). "STEAMing Up Linear Functions". Mathematics Teacher. 250-256. https://www.nctm.org/Publications/Mathematics-Teacher/2019/Vol112/Issue4/STEAMing-Up-Linear-Functions/

5. Flag Math of Bangladesh https://commons.wikimedia.org/wiki/File:Bangladesh_National_Flag_construct.svg Please join us for another upcoming “19 Minute” Webinar: www.imsa.edu/educator-development/e-teaching-resources/

April 20th – Little STEAMers: Sorting for Prek Students

April 21st – Cutting the Content Cord: Where Do We Want Students to Be in the Fall?

April 22nd – Using a Tech Tool to Teach About the United Nations Sustainable Development Goals (UNSDGs) THANK YOU FOR ATTENDING!!

Kelly Remijan PD & Curriculum Specialist E-Mail: [email protected] Twitter: @Teachers4STEAM

Illinois Mathematics and Science Academy Center for Teaching & Learning www.imsa.edu/educator-development/e-teaching-resources/