1 / 17

JUNE 24, 2009 COHORT III, 2009-2010

REGIONAL EDUCATIONAL LAB ~ APPALACHIA. The Effects of Kentucky Virtual High School’s Algebra I Hybrid Course on Teaching Practices, Classroom Quality, and Student Learning ACT 5 ON-LINE DISCUSSION. JUNE 24, 2009 COHORT III, 2009-2010. Welcome and Introductions Equipment check-in Updates

minh
Télécharger la présentation

JUNE 24, 2009 COHORT III, 2009-2010

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. REGIONAL EDUCATIONAL LAB ~ APPALACHIA The Effects of Kentucky Virtual High School’s Algebra I Hybrid Course on Teaching Practices, Classroom Quality, and Student LearningACT 5 ON-LINE DISCUSSION JUNE 24, 2009 COHORT III, 2009-2010

  2. Welcome and Introductions Equipment check-in Updates “Linking Formative Assessment to Scaffolding” ACT 5 Discussion Mini-Lesson on Polynomials Next Steps – ACT 6 Wednesday, July 1, 2009 Agenda for ACT 5On-line Discussion

  3. “Linking Formative Assessment to Scaffolding”

  4. Breakout Rooms

  5. ACT 5- Solving Linear Inequalities HIGHLIGHTS REGARDING: • Content • Instructional Strategies • Reflections

  6. SCENE 1 – How Do I Teach This? Critical use of the NUMBER LINE for: • modeling solution(s), • representing Real Numbers in multiple ways, • increasing number sense or numeracy. -2 -1 0 1 2 3 4

  7. Instructional Strategies • Modeling using the number line with a geometric approach using Transformations • Inequality Applets to support KYVS: • http://www.ronblond.com/M11/LinIne/index.html • http://joemath.com/applets/abs/ • Other Applets to investigate: • http://www.decimalsquares.com/dsGames/

  8. Where in Scene 1: Accessing Prior Knowledge, Reflections Instructional Strategies for Promoting Mathematical Literacy: • Developing Vocabulary • Reading Mathematics Texts/Materials (Reading to Learn) • Writing to Learn • Writing to Demonstrate Learning • Engaging in Meaningful Conversations (Academic Dialogue) • Modeling (Multiple representations)

  9. Where in Scene 2: Accessing Prior Knowledge, Reflections Instructional Strategies for Promoting Mathematical Literacy: • Developing Vocabulary • Reading Mathematics Texts/Materials (Reading to Learn) • Writing to Learn • Writing to Demonstrate Learning • Engaging in Meaningful Conversations (Academic Dialogue) • Modeling (Multiple representations)

  10. Where in Scene 3: Accessing Prior Knowledge, Reflections Instructional Strategies for Promoting Mathematical Literacy: • Developing Vocabulary • Reading Mathematics Texts/Materials (Reading to Learn) • Writing to Learn • Writing to Demonstrate Learning • Engaging in Meaningful Conversations (Academic Dialogue) • Modeling (Multiple representations)

  11. Connections: KYVS Algebra to SpotLight on Algebra SPOTLIGHT ON ALGEBRA: ACT 5, Solving Linear Inequalities KYVS ALGEBRA I COURSE: Unit 2 & 3 • Lesson 5 – Sets, Intersections, Unions • Lesson 6 - Inequalities & their graphs • Lesson 7 - Using Inequalities • Lesson 8 - Solving equations using absolute value • Lesson 9 - More solving equations using absolute value • Lesson 14 – Parallel & Perpendicular Lines & linear inequalities

  12. Key Components For The Algebra I Blended Lessons • Learning Goals: Verbalizing these goals with students and connecting to the Program of Studies • Learning Cycle:Activating Prior Knowledge, New Learning, Reflections • Vocabulary: Critical to communicating understanding • Multiple Representations:NAGS where Numbers within the table of values, Algebra within the equation, Graph of the algebraic equation, Sentence to describe the mathematics

  13. (cont.) Key Components For The Algebra I Blended Lessons • How will students track key concepts and critical understandings in both the face-to-face instruction and the KYVS Algebra I Lessons? [Look at various tracking tools for Lesson 5-9 & 14. Is there a variety of scaffolded and open-ended questions?] • How will students transition from the face-to-face instruction to the virtual environment? • Are there check points along the way? What are they? • What kind(s) of closure will you use?

  14. Exponential Rules • Show examples of using exponents with numbers 23 = 2 x 2 x 2 34 = 3 x 3 x 3 x 3 • Since the exponent is the number of times the base is used as a factor, then: (a + b)2 = (a + b)·(a + b) by using the FOIL method (a + b)·(a + b) = a2        STEP 1 (a + b)·(a + b) = a2 + ab        STEP 2 (a + b)·(a + b) = a2 + ab + ba STEP 3 (a + b)·(a + b) = a2 + ab + ba + b2  STEP 4 (NOTE: ab is the same as ba by the Commutative Property) a2 + ab + ab + b2 = a2 + 2ab + b2

  15. Discussion: Multiplying Binomials • Use a matrix array to support/model the use of the Distributive Property. • Use tiles to create the area model display. • Make Connections amongst the approaches. • Take students through a numerical approach and discussion: (5 + 3)2 = 82 = 64 as compared to 52 + 32 = 25 + 9 = 34. A2 + AB + BA + B2 = A2 + 2AB + B2 is the simplified form.

  16. Websites to Remember • KYVS for SpotLight on Algebra and the KYVS Algebra I Course: http://www.kyvs.org • Horizon Wimba: http://67.202.209.114/ • Hybrid Algebra Wiki for sharing: http://hybridalgebra.wikispaces.com/

  17. Next Steps – ACT 6 • Wednesday, July 1, 2009, 9-11am EST • ACT 6 assignments: ► Investigate ACT 6, note findings in preparation for discussion. ► Investigate Content and Pedagogy Quizzes for ACT 6 – COURSE MATERIALS QUIZZES; work some of the questions that relate to Pedagogy and come prepared to discuss. Try at least five questions that interest you. ► Have graphing calculators and notes from ACT 6 ready ► Open Spotlight on Algebra and the KYVS Algebra I Course in separate tabs THANKS FOR JOINING IN TODAY’S DISCUSSION!

More Related