Transcript Unwrapping the math bundles

UNWRAPPING THE MATH BUNDLES
Paul Perskin
[email protected]
CFN 204
DIANE FOLEY, NETWORK LEADER
Agenda
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Citywide Instructional Expectations
What’s available?
Overview of what’s included in the tasks
A Closer Look
Getting it out to your staff
Why the push for rigorous tasks?
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To use as a vehicle for examining student work,
developing a shared understanding of success as
defined by the new standards, and determining
how to adjust teacher practice to support student
development along the continuum of college and
career readiness.
The goal is that, through the work of implementing a
task, teachers will begin to adjust their curriculum
and instruction to help all students move toward the
higher expectations of the Common Core.
Rigorous Curriculum and Tasks
for All Students
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The expectation is that we:
 Engage
all students in at least one math task aligned to
strategically selected Common Core standards. These
tasks should be embedded in Common Core-aligned
curricula and include multiple entry points for all
learners, including students with disabilities and English
language learners.
CITYWIDE INSTRUCTIONAL
EXPECTATIONS FOR 2011-12
Standards of Practice
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Model with mathematics*
 Mathematically proficient students can apply the
mathematics they know to solve problems arising in
everyday life, society, and the workplace.
Construct viable arguments and critique the
reasoning of others
 The ability to clearly construct and analyze
mathematical arguments, evaluating and
articulating the reasoning behind claims
What is currently
accesible?
Grade Band
Pre-K - K
Please note that all grades have a Common Core Aligned Task
posted. Additionally, general guidance on supporting ELLs
in ELA/Literacy and Mathematics and general guidance on
supporting Students with Disabilities.
Math Task
Pre-K: How many little seeds?
Kindergarten: Books on Shelves
1-2
Grade 1: Nina’s numbers
Grade 2: Singing Songs
3-5
Grade 3: Wild Turkeys
Grade 4: Farmer Fred
Grade 5: Stuffed With Pizza
6-8
Grade 6: Ratios & Proportional Reasoning
Grade 7: Proportional Reasoning
Grade 8: Expressions & Equations
Where did these tasks originate?
NYC educators and national experts worked
throughout the 2010-2011 school year to
develop Common Core-Aligned Tasks
embedded in a unit of study.
 To access these tasks, go to the:
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 DOE
Homepage (schools.nyc.gov)
 Academics
 Common Core Library
 See Student Work.
What do the bundles contain?
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Unit Overview
Task Details
Task Name
 Grade
 Subject
 Depth of Knowledge
 Task Description
 Standards Assessed
 Standards for Mathematical Practice
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UDL Principles
Rubric
Annotated Student Work
Instructional Supports
Instructional Supports
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Each Common Core Aligned Task is accompanied
by a variety of instructional supports to assist
educators in integrating the tasks into instruction.
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Some materials include:
Culminating performance tasks
 Guidance around use of Universal Design for Learning*
(UDL) principles for each task
 Rubrics and/or scoring guides
 Annotated student work ranging across levels
 Unit outlines developed using the Understanding by
Design (UBD) framework, aligned to CCLS Standards
 Additional assessments and learning activities (e.g. initial,
formative assessments)
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How will schools use these tasks?
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Schools may choose to:
 use
all or portions of the materials provided to fulfill
the 2011-12 Instructional Expectations or to provide
guidance when looking at student work or creating their
own tasks and units.
Grade 4: Farmer Fred
Take a few minutes to
read over the first two
pages of Grade 4, which
include the Unit
Overview and the Table
of Contents
 With the other
participants at your
table, discuss what
stands out to you?
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Grade 3
Wild Turkeys
Annotated Student Work
Annotated Student Work,
continued
Unit Outline
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The grade 3 task has a unit outline which contains
11 tasks that build algebraic thinking eventually
leading to the culminating task: Wild Turkeys
How can teachers use this information?
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Teachers may use this CC Aligned Task as it is
described, integrate parts of it into a currently
exisiting curriculum unit, or use it as a model or
checklist for a currently existing unit on a different
topic.
More importantly, how does this help your school
and your teachers?
Grade 7
Proportional Reasoning
Grade 7 Math:
Proportional Reasoning
Table of Contents
Assessment with Student Work
Benchmark Paper
Benchmark Papers with Rubrics
Assessment with Student Work
Benchmark Paper
Instructional Supports
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These instructional supports include three arcs of
related lessons: a sequence of high-level instructional
tasks that address the set of targeted Common Core
State Standards for Mathematical Content and
Common Core State Standards Standards for
Mathematical Practice assessed in the first
performance-based assessment related to Ratios and
Proportional Relationships.
The tasks are designed to support student learning in
preparation for Assessment #1. Each of the high-level
instructional tasks are accompanied by a lesson guide.
Proportional Reasoning Tasks
Grade 7, ARC # 1
Proportional Reasoning Tasks
Grade 7, ARC # 1, cont.
Lesson Guides
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The lesson guides provide teachers with the
mathematical goals of the lesson, as well as
possible student solution paths, errors and
misconceptions for engaging students in rigorous
teaching and learning.
Teachers may choose to use them to support their
planning and instruction while teaching the arcs of
lessons.
Questions to ponder
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Does your current curriculum have tasks,
lessons and assessments aligned with the
Common Core?
If not, what assistance will we need to
give our teachers to help them align the
tasks and lessons they already have in
place?
Supporting implementation of citywide
instructional expectations
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Identify teachers to help lead with this process.
Analyze tasks to identify gaps.
In teams, look closely at resulting student work to
continue the cycle of inquiry, making future
instructional adjustments and communicating lessons
learned to other school staff .