“Which comes first, creating or reasoning?”
description
Transcript of “Which comes first, creating or reasoning?”
![Page 1: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/1.jpg)
“Which comes first, creating or reasoning?”
Jenny Ray, Kentucky Department of EducationProfessional Growth and Effectiveness Specialist
![Page 2: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/2.jpg)
Professional Development Learning Targets
I can explain what it means to teach to the standards, as opposed to teaching the topics of the standards.
I can compare and make connections between the A-CED and A-REI standards.
![Page 3: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/3.jpg)
Two Minute Review A-CED and A-REI Standards
Please take one minute to re-familiarize yourself with the standards we will be considering in this session.
Highlight, underline, or use your own language in the margins to remind yourself of the ‘content’ of these specific standards: A-CED 2, 3, 4 and A-REI 5, 6
![Page 4: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/4.jpg)
Video of Teaching Solving Systems of Linear Equations
Make note of the standards that are being taught as you watch this 5-minute video clip:
![Page 5: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/5.jpg)
Five minutes to share your thoughts… Share your thoughts/insights on the standards
being taught with a table partner, then with others at your table.
Choose someone to share out from your table with the group.
![Page 6: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/6.jpg)
Working through a task… Everyone should have a copy of “Cash Box” from
Illustrative Mathematics. INDEPENDENTLY, please brainstorm what you
know and some solution strategies. (You will have time to work with others, but for now, please just work on your own.)
Now, share your ideas with a partner at your table. Begin to formulate a way to solve the problem.
Be ready to share with your group how you solved the problem.
![Page 7: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/7.jpg)
Whole Group Discussion What was different about this task and typical
problems that students solve when learning to solve systems of equations?
What was different about your experience as a learner, in this task, than perhaps how you learned to solve ‘word problems’ in high school?
What Standards for Mathematical Practice did you exemplify in your experience today?
![Page 8: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/8.jpg)
Modeling a Formative Assessment Lesson
Solving Linear Equations in Two Variables
![Page 9: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/9.jpg)
Notebooks and Pens
Read through the questions and try to answer them as carefully as you can.
Please work independently for 10 minutes.
![Page 10: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/10.jpg)
Cash Registers Task—Independent Work Count off 1-? Go to that numbered table to complete the
individual task. Spend about 10 minutes working through the task
on your own at your table. Do not discuss with others at your table, yet.
![Page 11: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/11.jpg)
Cash Registers—Small Groups Now, go back to your original seat and compare
your solution method with others at your table. Work together in your groups to produce an
answer together that is better than your individual ones.
![Page 12: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/12.jpg)
Comparing Different Approaches Examining Student Work Samples Whole-Class Discussion
![Page 13: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/13.jpg)
Improving Notebooks and Pens This would be the next lesson, if there is not time
during the original lesson. Look at your original responses and think about
what you have learned this lesson. Using what you have learned, try to improve your
work.
![Page 14: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/14.jpg)
Review the Targets
![Page 15: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/15.jpg)
Professional Development Learning Targets
I can explain what it means to teach to the standards, as opposed to teaching the topics of the standards.
I can compare and make connections between the A-CED and A-REI standards.
![Page 16: “Which comes first, creating or reasoning?”](https://reader036.fdocuments.in/reader036/viewer/2022062305/56816766550346895ddc47eb/html5/thumbnails/16.jpg)
RESOURCES www.Jennyray.net —You can find this PPT and
other resources on the Math Resources tab http://www.illustrativemathematics.org/ Also on
website, above, under the Math Links tab. This site offers many rich tasks that are correlated to CCSSM
http://map.mathshell.org/materials/lessons.php