Common Core Standards UMath X Address The Common Core Access & Professional Learning

Professional Learning - Topic 1: A “Smarter, not Harder” RtI Model: Build, Draw, Talk, Write then … OWN FRACTIONS Grades 2 to 6 This Session will: ●suggest models for whole class as well as for differentiated instruction to address RtI (Response to Intervention) for fraction and decimal content in a “smarter, not harder” approach. ●provide 3-part, tiered lessons to model an environment which attempts to accommodate all learners in a diverse learning environment. ●blend digital, paper and manipulatives in lessons modified to present content and instruction.

Professional Learning - Topic 2: A Tangy Mix of Amazing Proportions - Model Concept-Driven Lessons for RtI and STEM Gr 5 to Alg 1 This Session will: ●suggest models for whole class as well as for differentiated instruction to address RtI (Response to Intervention) and some STEM for ratio and proportion content in a “smarter, not harder” approach. ●provide 3-part, tiered lessons to model an environment which attempts to accommodate all learners in a diverse learning environment. ●blend digital, paper and manipulatives in lessons modified to present content and instruction. ●provide lessons in a wide range of topics including estimation, scale drawing, similar triangles, ratio tables and linear relations.

A Diverse Concept-Driven Learning Environment

2 Sources of Instruction ●Diverse, Digital Learning ●Browser Based ●K to Alg 1 Curriculum ●Understanding Math 10th version Frameworks for Learning ●3 Part Lessons ●Model Implementation of UMath X

Frameworks for Learning ● 3 Part Lessons ● Start - Work at it - Reflect UMath X - Diverse Learning

Instructional Scaffolding The UMath X Menu is converted into the CCSS Menu.

Frameworks(on paper) & Lessons (on computer).. 3 part outlines on 2 pages..on computer

Some Frameworks are Tiered (Modified to Accommodate Learning)

Tiered Frameworks… online”

( ( ACCESS to UMath X … use the URL below or URL assigned to you. ACCESS to Frameworks Go to CCSS Menu or to the URL below … Generic Login.. student (or personal login & password assigned to you) Generic Password.. studentpwd

Build it.. Draw it.. Talk it.. Write it.. then.. OWN IT! PD Topic 1: Modelling Fractions

( ( 2 Sources of Instruction Frameworks on Paper Lessons on Computer

Differentiated Instruction Introduction to Fractions Equivalent Fractions Decimals & Fractions Adding Fractions Tangrams & Fractions Multiplying Fractions ( Find Frameworks within UMath X for each of these 6 stations

A Sample of FRACTION Lessons (

A Tangy Mix of Amazing Proportionals 6th grade to Algebra 1 For Topic 2: Proportioality

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

FOR Access to UMath X Generic Login.. student Generic Password.. studentpwd ( FOR Access to FRAMEWORKS for Learning ( 2 Sources of Instruction Frameworks on Paper Lessons on Computer

Differentiated Instruction Ratio Tables Introduction Similar Triangles Slope Proportions Estimation Proportion Scale Drawing Ratio Tables Pet Store Ratios from Graphs bar..circle..dot Linear Relations ( Find frameworks within UMath X for each of these 7 stations.

( A Sample of Proportionality Lessons

Randomized Tests I want to see the question & learn from it.

Learn from the Test

Before Beginning … Set the Learning Environment - Teachers School Leaders ParentsCurriculum Students

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

Watch Less. Do More! Instructional Paradigm Shift Towards Diverse Learning

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

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.

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

Parent Expectations Go Deep to Understand Unpack the Math Teach in New Ways Lead to Understand Broad Ability Ranges Differentiate TEACHER is the KEY!!

Components to Increase Capacity to Teach Mathematics ●Teachers need to learn how to unpack familiar mathematical concepts into those elements that combine and lead to an understanding of the concept. ●Teachers require knowledge of what is an adequate explanation of a concept or justification of a procedure. ●Teachers require an understanding and exploration of solutions or methods that are different from their own. TEACHER is the KEY!!

Support Teachers Teach for understanding. Answers not sufficient Communicate to Parents Teachers do not provide all answers. Students “grapple”. The School Leader is Key!! Towards Diverse Learning

3 Steps Before 1st Class - Set the Environment ! ●Go to - see 2 Videos.. Navigation / Frameworks - then select tab “Training Documents” then select “Quickstart” ●Access to UMath X.. URL & login given to you or … ●Attend a UMath X - Professional Learning Options:1 - 3 hour handson session min personal Skype or Webinar 3 - request Google Slide - “UMath X - Address CCSS” ●Contact Rudy Neufeld - Sr Author/CEO … Neufeld Learning Call or