Common Core Standards

1. UMath X Common Core Standards Address PGCPS Summer School

2. 4 Step Plan ●Digital Learning Grounding Principles - UMath X - an example ●Model Blended Learning 3 part lessons - Build it, Draw it, Talk it, Write it … to OWN IT! ●ModelRtI with a “smarter, not harder” Approach Multi Sensory - Multi Entry - Tiered Approaches ●”Go Deep” - Unpack Content and Instruction K to Algebra1 (10th grade)

3. PART 1: Digital Learning Environment • Diverse, Digital Learning • Browser Based • K to Alg 1 Curriculum • Understanding Math - 10th version

4. Digital Learning Principles • move from concrete to pictorial to abstract • multiple representations of concepts • interactivity • a mistake is an opportunity to learn • pacing is controlled by the learner • support scaffolded learning Frameworks for Learning • 3 Part Lessons • Start - Work at it - Reflect

5. For a GLIMPSE, now LOG into UMath X Use any browser & Key in the URL … www.neufeldlearning.com/pgcpsss Teacher Username Login is … lastname Generic Password is … umathx (lastname is lower case) example is .. jones (corresponding student is .. example jones1 (password is lowercase and can be changed)

6. Try this path. Note the Digital Learning Principles

7. Try this path.

8. Try this path.

9. The UMath X Menu is converted into the CCSS Menu. Try this path… Try one of these paths. For each use 2 menus. .. UMath X & Common Core 3.NF.01.01 Fractions – The Meaning of Fractions – Introduction .. Think, Write, Say – Circles 7.RP.01.02c Fractions – Ratio and Proportions – Ratio Table – Ex 4

10. PART 2: Blended Learning Environment Frameworks for Learning • 3 Part Lessons to offer many approaches PART 1 PART 3 Audio - Click under first letter in sentence. Frameworks for Learning • 3 Part Lessons • Model Implementation of UMath X PART 2

11. Frameworks on PaperLessons on Computer (http://www.neufeldlearning.com/frameworks/) (http://www.neufeldlearning.com/pgcpsss/) Audio - Click under first letter in sentence. Try the path below .. 2 menus Also find the framework.

12. Blended Learning Access to UMath X Generic Login .. given … Generic Password .. umathx (http://www.neufeldlearning.com/pgcpsss/) Access to Frameworks (http://www.neufeldlearning.com/frameworks/) Try the path below .. 2 menus Find Framework 7.RP.01.02c Fractions – Ratio and Proportions – Ratio Table – Ex 4 (Framework: Ratio Tables – Pet Store)

13. (Modified to Accommodate Learning) PART 3: Model RtI withTiered Frameworks Example: Access CCSS Menu - 7.G.02.06 .. (next slide)

14. Example: Access CCSS Menu - 7.G.02.06 ..on computer .. 3 part outlines on 2 pages

15. Tiered Frameworks… online”

18. PART 4: “Go Deep”-Content / Instruction Build it .. Draw it .. Talk it .. Write it .. then .. OWN IT!

19. Differentiate Instruction Multiplying Fractions Introduction to Fractions Decimals & Fractions (http://www.neufeldlearning.com/frameworks/) Find Frameworks at for each of these 5 stations. Some frameworks are tiered. Within your group: • work though tiered framework • discuss content • discuss instruction Equivalent Fractions Adding Fractions (http://www.neufeldlearning.com/pgcpsss/)

20. (http://www.neufeldlearning.com/pgcpsss/) A Sample of FRACTION Lessons

21. PART 4: “Go Deep”-Content/Instruction A Tangy Mix of Amazing Proportions 6th grade to Algebra 1 rneufeld@neufeldlearning.com

22. This session will model ... • real world • concept-driven • tiered … learning to address ... PROPORTIONALITY

23. Differentiate Instruction Linear Relation Elastic /Walker Ratio TablesIntroduction Proportions Estimation Graphs with/without A Scale (http://www.neufeldlearning.com/frameworks/) Find Frameworks at for each of these 6 stations. Some frameworks are tiered. Within your group: • work though frameworks • discuss content • discuss instruction Similar Triangles Slope Proportion Scale Drawing (http://www.neufeldlearning.com/pgcpsss/)

24. A Sample of Proportionality Lessons (http://www.neufeldlearning.com/pgcpsss/)

25. Randomized Tests Students need to see question and answer & learn from them

26. Test for Understanding

37. Blended Learning involves all: Teachers SchoolLeaders Students Curriculum Parents

38. Change the Mindset Remember How ..to.. Understand Why

39. Blended Learning Watch Less. Do More! Instructional Paradigm Shift

40. “Active learning practices have a more significant impact on student performance than any other variable. Dr. Brigid Barron and Dr. Linda Darling-Hammond, Stanford University Teaching for Meaningful Learning: A Review of Research on Inquiry-Based and Cooperative Learning

41. Good Mathematics ... … is what you do when you don’t know answers. • more than “persevering” • more than “engaging” • is “productive” struggling … is … “GRAPPLING” ie … in competition with oneself.

42. Productive Math Talk Moves Revoicing Show me another way? Repeating How are these same/different? Reasoning What would you do if…? Adding On What else could you have done? Waiting Why did you…? Effective Questions Students articulate their own ideas and consider peer perspectives as a way to construct understandings.

43. The Teacher is the KEY Go Deep to Understand Unpack the Math Teach in New Ways Lead to Understand BroadAbility Ranges Differentiate Parent Expectations

44. Blended Learning - Leadership Support Teachers Teach for Understanding Answers are Important but Not Sufficient Communicate with Parents Teachers do not provide all answers. Students are encouraged to “Grapple”

45. In Preparation for the First Class • Access to UMath X .. URL & login given to you or www.neufeldlearning.com/pgcpsss … • Go to www.neufeldlearning.com - see 2 videos .. Navigation / Frameworks - then select tab “Training Documents” then select “Quickstart” • Professional Learning Options: 1 - 3 hour to 4 day handson session 2 - 1 hour personal Skype or Webinar 3 - http://www.neufeldlearning.com/files/UMathX-BlendedLearning-PGCPSSS.pptx • Contact R Neufeld - Sr Author/CEO … Neufeld Learning Sys 1 866 429 6284 - rneufeld@neufeldlearning.com Call or Email