ccgps mathematics 8 th grade update webinar unit 1: transformations, congruence, and similarity...

CCGPS Mathematics8th Grade Update Webinar

Unit 1: Transformations, Congruence, and SimilarityAugust 9, 2013

James Pratt – jpratt@doe.k12.ga.us Brooke Kline – bkline@doe.k12.ga.usSecondary Mathematics Specialists

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These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.

What are update webinars?

• Update on the work of the 2013 Resource Revision Team Overall revisions Unit 1 revisions

• Addressing areas of concern • Resources

2013 Resource Revision Teams

2013 8th Grade Resource Revision Team

8th Grade CCGPS Unit Revisions

WebinarOverview of

Comprehensive Course Guide&

Unit 1

8th Grade Math Resource Revision Team

Shelly Bydlinski - Glynn County School System

Mandy Campbell- Floyd County School System

Samantha Clay – Atlanta City Public Schools

Kim Conley - Lee County School System

Joe Hardy – Bibb County School System

Located on the 6-8 math section of www.georgiastandards.org

Designed to provide clarification of CCGPS Mathematics Standards

Organized to link together many sources of information pertinent to CCGPS 8th Grade Math

8th Grade Comprehensive Course Overview

Begin at www.georgiastandards.org

Select the CCGPS ELA/Math Tab

Direct Link to Page

Select the Mathematics option under Browse CCGPS

Select the 6-8 option in the Mathematics section

Select the Grade 6 option

Direct Link to Page

Select the Comprehensive Course Guide

This is your Comprehensive Course Guide

Click on blue hyperlink to access The Flipbooks offer clarification Very Large File (slow loading)

Flipbooks

8th Grade Standards

Standard Specific Information

Task DescriptionsScaffolding Task - Tasks that build up to the learning task. Learning Task - Constructing understanding through deep/rich contextualized problem solving tasks. Practice Task - Tasks that provide students opportunities to practice skills and concepts. Performance Task - Tasks which may be a formative or summative assessment that checks for student understanding/misunderstanding and or progress toward the standard/learning goals at different points during a unit of instruction. Culminating Task - Designed to require students to use several concepts learned during the unit to answer a new or unique situation. Allows students to give evidence of their own understanding toward the mastery of the standard and requires them to extend their chain of mathematical reasoning. Achieve CCSS- CTE - Designed to demonstrate how the Common Core and Career and Technical Classroom Tasks - Education knowledge and skills can be integrated. The tasks provide teachers with realistic applications that combine mathematics and CTE content. Short Cycle Task - Designed to exemplify the performance targets that the standards imply. The tasks, with the associated guidance, equip teachers to monitor overall progress in their students’ mathematics. Formative Assessment Lesson (FAL) - Lessons that support teachers in formative assessment which both reveal and develop students’ understanding of key mathematical ideas and applications. These lessons enable teachers and students to monitor in more detail their progress towards the targets of the standards.

Formative Assessment Lessons (FALs)

Formative Assessment Lessons (FALs)

• Formative Assessment Lessons (“Classroom Challenges”)

• Developed by the Shell Center

• Embedded in the FY14 Units, also available at http://map.mathshell.org.uk/materials/lessons.php

• Intended to guide instructional decisions for the rest of the unit

• Not intended to be graded, but for feedback

• Very beneficial to addressing student misconceptions

• Additional FALs are in the editing process.

Short Cycle Tasks

• Also from the Shell Center (Mathematics Assessment Project web site: http://map.mathshell.org.uk/materials/lessons.php)

• Go to the “Tasks” tab: Short assessments with rubrics

“Mathematical skills and practices might be assessed partly in isolation, partly under scaffolded conditions, and partly when students face substantial problems without scaffolded support. We call tasks that assess these three different types of performance novice, apprentice, and expert tasks respectively”

For the FALs click on this tab

For the Short Cycle Tasks click on this tab

Make sure to choose the Correct grade level

Internet Resources

• Webinar Information

• General Resources

• Problem-Based Learning

• Assessment and Instructional Support Resources

Examples of Resources

Unit 1Transformations, Congruence, and

Similarity

Slight change of format

Included Standards for Mathematical Practices for each Task

Suggestions sent by teacher from all over the United States via email and the wiki

Observations made from personal experiences

Overall Changes in the Unit

Selected Terms and Symbols

Note: In the Teacher’s Edition (found in the Learning Village), the

Task Table includes hyperlinks to the FALs and Short Cycle Task. The link is also found on the task page within

the unit.

A new section has been included in each task to list the appropriate

Standards for Mathematical Practices (SMPs).

The standards are hyperlinked to the CCGPS document which can also be found at www.georgiastandards.org

Common Misconceptions have been identified for each task to assist teachers in guiding the

students to success.

Differentiation need I say more….YAY!!!!!

Use the Wiki to share information with other teachers and to ask questions.

This is a living document. Please share anything you may have to enhance this or any unit. The Wiki is the teacher community page to share anything you have.

The DOE CCGPS tab is static, viewable for anyone. Teacher pages and any updates or additional resources, including hot links, are only available through Learning Village.

Things to Remember

Your comments are greatly appreciated:

http://ccgpsmathematics6-8.wikispaces.com/home

Feedback

Areas of Concern

SEDL CCGPS Support Video: MCC8.G.2

http://secc.sedl.org/common_core_videos/index.php?action=view&id=781

Areas of ConcernThe two triangles in the picture below are congruent.

a. Give a sequence of rotations, translations, and/or reflections which take ∆PRQ to ∆ABC.

b. Is it possible to show the congruence in part (a) using only translations and rotations?

Adapted from Illustrative Mathematics 8.G.2 Congruent Triangles

Areas of Concern

Adapted from Illustrative Mathematics 8.G.2 Congruent Triangles

Areas of Concern

Adapted from Illustrative Mathematics 8.G.2 Congruent Triangles

Areas of Concern

Adapted from Illustrative Mathematics 8.G.2 Congruent Segments

Line segments AB and CD have the same length. Describe a sequence of reflections that exhibits a congruence between them.

Areas of Concern

Adapted from Illustrative Mathematics 8.G.2 Congruent Segments

Areas of Concern

Adapted from Illustrative Mathematics 8.G.2 Congruent Segments

Areas of Concern

Adapted from Illustrative Mathematics 8.G.2 Congruent Segments

Areas of ConcernFor each vertex of the triangle in the form (x, y), create a second

image at the coordinates (½x, ½y). What is the result?

A: (4, 6) A’: (8, 12) A”: (2, 3) B: (7, 4) B’: (14, 8) B”: (3.5, 2)C: (4, 4) C’: (8, 8) C”: (2, 2)

C B

A

A’

B’C’

A”

B”C”

AssessmentJuly 22, 2013 – State School Superintendent Dr. John Barge and Gov. Nathan Deal announced today that Georgia is withdrawing from the Partnership for Assessment of Readiness for College and Careers (PARCC) test development consortium. Instead, the Georgia Department of Education (GaDOE) will work with educators across the state to create standardized tests aligned to Georgia’s current academic standards in mathematics and English language arts for elementary, middle and high school students. Additionally, Georgia will seek opportunities to collaborate with other states. The press release in its entirety can be found at: http://www.gadoe.org/External-Affairs-and-Policy/communications/Pages/PressReleaseDetails.aspx?PressView=default&pid=123

Assessment As GaDOE begins to build new assessments, please note that our Georgia assessments:will be aligned to the math and English language arts state standards;will be high-quality and rigorous;will be developed for students in grades 3 through 8 and high school;will be reviewed by Georgia teachers;will require less time to administer than the PARCC assessments;will be offered in both computer- and paper-based formats; andwill include a variety of item types, such as performance-based and multiple-choice items.The press release in its entirety can be found at: http://www.gadoe.org/External-Affairs-and-Policy/communications/Pages/PressReleaseDetails.aspx?PressView=default&pid=123

AssessmentWe will continue to work with Georgia educators, as we have in the past, to reconfigure and/or redevelop our state assessments to reflect the instructional focus and expectations inherent in our rigorous state standards in language arts and math. This is not a suspension of the implementation of the CCGPS in language arts and math.

~ Dr. John Barge(excerpt from a letter to state Superintendents from Dr. Barge)

• GaDOE Resources Fall 2011 CCGPS Standards for Mathematical Practices Webinars - https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx Spring 2012 CCGPS Mathematics Professional Learning Sessions on GPB - https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx 2012 – 2013 CCGPS Mathematics Unit-by-Unit Webinar Series - https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx Georgia Mathematics Teacher Forums - http://ccgpsmathematics6-8.wikispaces.com/ CCGPS Mathematics Frameworks and Comprehensive Course Overviews - https://www.georgiastandards.org/Common-Core/Pages/Math-6-8.aspx Mathematics Formative Assessment Lesson Videos - https://www.georgiastandards.org/Common-Core/Pages/Mathematics-Formative-Assessment-Lessons-Videos.aspx

Resources

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 - http://bit.ly/RwWTdc or http://bit.ly/yyhvtc Illustrative Mathematics - http://www.illustrativemathematics.org/ Dana Center's CCSS Toolbox - http://www.ccsstoolbox.com/ Common Core Standards - http://www.corestandards.org/ Tools for the Common Core Standards - http://commoncoretools.me/ Phil Daro talks about the Common Core Mathematics Standards - http://bit.ly/URwOFT LearnZillion - http://learnzillion.com/

• Assessment Resources Online Assessment System - http://bit.ly/OoyaK5 MAP - http://www.map.mathshell.org.uk/materials/index.php Illustrative Mathematics - http://illustrativemathematics.org/ CCSS Toolbox: PARCC Prototyping Project - http://www.ccsstoolbox.org/ Smarter Balanced - http://www.smarterbalanced.org/smarter-balanced-assessments/ PARCC - http://www.parcconline.org/

Resources

Resources• Professional Learning Resources

Inside Mathematics- http://www.insidemathematics.org/ Annenberg Learner - http://www.learner.org/index.html Edutopia – http://www.edutopia.org Teaching Channel - http://www.teachingchannel.org Ontario Ministry of Education - http://bit.ly/cGZlce Achieve - http://www.achieve.org/

• Blogs Dan Meyer – http://blog.mrmeyer.com/ Robert Kaplinsky - http://robertkaplinsky.com/

• Books Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8

Feedbackhttp://ccgpsmathematics6-8.wikispaces.com/

James Pratt – jpratt@doe.k12.ga.us Brooke Kline – bkline@doe.k12.ga.usSecondary Mathematics Specialists

Thank You! Please visit http://ccgpsmathematics6-8.wikispaces.com/ to share your feedback, ask

questions, and share your ideas and resources!Please visit https://www.georgiastandards.org/Common-Core/Pages/Math.aspx

to join the 6-8 Mathematics email listserve.Follow on Twitter!

Follow @GaDOEMath

Brooke KlineProgram Specialist (6‐12)

bkline@doe.k12.ga.us

James PrattProgram Specialist (6-12)

jpratt@doe.k12.ga.us

These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.