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Common Core Standards UMath X
Address The Common Core Access & Professional Learning
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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.
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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.
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A Diverse Concept-Driven Learning Environment
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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
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Frameworks for Learning● 3 Part Lessons ● Start - Work at it - Reflect
UMath X - Diverse Learning
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Instructional Scaffolding
The UMath X Menu is converted into the CCSS Menu.
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Frameworks(on paper) & Lessons (on computer)
.. 3 part outlines on 2 pages
..on computer
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Some Frameworks are Tiered (Modified to Accommodate Learning)
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Tiered Frameworks… online”
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(http://www.neufeldlearning.com/frameworks/)
(http://www.neufeldlearning.com/preview)ACCESS to UMath X … use the URL below or URL assigned to you.
ACCESS to FrameworksGo to CCSS Menu or to the URL below …
Generic Login .. student (or personal login & password assigned to you)Generic Password .. studentpwd
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Build it .. Draw it .. Talk it .. Write it .. then .. OWN IT!
PD Topic 1: Modelling Fractions
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(http://www.neufeldlearning.com/frameworks/)
(http://www.neufeldlearning.com/preview/)
2 Sources of Instruction Frameworks on Paper Lessons on Computer
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Differentiated Instruction
Introduction to Fractions
Equivalent Fractions
Decimals & Fractions
Adding Fractions
Tangrams & Fractions
Multiplying Fractions
(http://www.neufeldlearning.com/preview/)
Find Frameworks within UMath X for each of these 6 stations
http://www.neufeldlearning.com/frameworks/)
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A Sample of FRACTION Lessons
(http://www.neufeldlearning.com/preview/)
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A Tangy Mix ofAmazing Proportionals
6th grade to
Algebra 1
For Topic 2: Proportioality
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This session will model ...● real world● concept-driven● tiered
… learning
to address ...
PROPORTIONALITY
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FOR Access to UMath XGeneric Login .. studentGeneric Password .. studentpwd
(http://www.neufeldlearning.com/preview/)
FOR Access to FRAMEWORKS for Learning
(http://www.neufeldlearning.com/frameworks/)
2 Sources of Instruction Frameworks on Paper Lessons on Computer
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Differentiated Instruction
Ratio Tables Introduction
Similar Triangles
Slope
ProportionsEstimation
ProportionScale Drawing
Ratio TablesPet Store
Ratios from Graphs
bar..circle..dot
Linear Relations
(http://www.neufeldlearning.com/preview/)
Find frameworks within UMath X for each of these 7 stations.
http://www.neufeldlearning.com/frameworks/)
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(http://www.neufeldlearning.com/preview/)
A Sample of Proportionality Lessons
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Randomized Tests
I want to see the question & learn from it.
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Learn from the Test
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Before Beginning …Set the Learning Environment -
Teachers SchoolLeaders
ParentsCurriculum
Students
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Change the Mindset
Remember How
Understand Why
..to..
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Watch Less.
Do More!
Instructional Paradigm Shift
Towards Diverse Learning
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“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 UniversityTeaching for Meaningful Learning: A Review of Research on Inquiry-Based and Cooperative Learning
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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.
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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 OnWaiting
Students articulate their own ideas and consider peer perspectives as a way to construct understandings.
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Parent Expectations
Go Deep to
Understand
Unpack the Math
Teach in New Ways
Lead to Understan
dBroad Ability Ranges
Differentiate
TEACHER is the KEY!!
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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!!
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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
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3 Steps Before 1st Class - Set the Environment !
● Go to www.neufeldlearning.com- see 2 Videos .. Navigation / Frameworks - then select tab “Training Documents” then select “Quickstart”
● Access to UMath X .. URL & login given to you or www.neufeldlearning.com/preview …
● Attend a UMath X - Professional LearningOptions:1 - 3 hour handson session
2 - 45 min personal Skype or Webinar3 - request Google Slide - “UMath X - Address CCSS”
● Contact Rudy Neufeld - Sr Author/CEO … Neufeld Learning
1 866 429 6284 - [email protected]
Call orEmail