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Activity #1
Read and discuss your group’s mathematical practice.
Share out a summary of the mathematical practice and how you would incorporate this practice in your classroom.
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Activity #2
Work in your group to solve this word problem.
Chart your answer. SHOW ALL WORK
If 4 cookies are shared among 5 people, how much of a cookie would each person receive?
Now, if 5 people shared 4 cookies, but the first 3 cookies are cut in half and each person took half, how much of a cookie would each person receive?
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Instructional Shifts in Mathematics Focus Focus greatly where standards focus
Coherence Think across grades, link to major topics within grades
Fluency Deep Understanding Application Dual Intensity
Rigor: Requires fluency, application and deep understanding
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Critical Areas
In Kindergarten, instructional time should focus on two critical areas: (1) representing and comparing whole numbers, initially with sets of
objects; (2) describing shapes and space. More learning time in Kindergarten
should be devoted to number than to other topics.
In Grade 1, instructional time should focus on four critical areas: (1) developing understanding of addition, subtraction, and strategies
for addition and subtraction within 20; (2) developing understanding of whole number relationships and
place value, including grouping in tens and ones; (3) developing understanding of linear measurement and measuring
lengths as iterating length units; and (4) reasoning about attributes of, and composing and decomposing
geometric shapes.
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Critical Areas
In Grade 2, instructional time should focus on four critical areas: (1) extending understanding of base-ten notation; (2) building fluency with addition and subtraction; (3) using standard units of measure; and (4) describing and analyzing shapes.
In Grade 3, instructional time should focus on four critical areas: (1) developing understanding of multiplication and division and
strategies for multiplication and division within 100; (2) developing understanding of fractions, especially unit fractions
(fractions with numerator 1); (3) developing understanding of the structure of rectangular arrays
and of area; and (4) describing and analyzing two-dimensional shapes.
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Critical Areas
In Grade 4, instructional time should focus on three critical areas: (1) developing understanding and fluency with multi-digit
multiplication, and developing understanding of dividing to find quotients involving multi-digit dividends;
(2) developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers;
(3) understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry.
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Critical Areas
In Grade 5, instructional time should focus on three critical areas: (1) developing fluency with addition and subtraction of
fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions);
(2) extending division to 2-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations; and
(3) developing understanding of volume.
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Instructional Resources
Consumable textbook Standard Practice book Teacher’s Edition broken up into Critical
Areas (3-4) Grab and Go Math Boards Assessment books RTI books City Enhancements (Podcasts, PBA’s and
Enhanced TE)
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Teacher’s Edition
Not Scripted Table of Contents Chapter at a Glance Teaching for Depth Daily Classroom Management Review Prerequisite Skills Developing Math Language Show What you Know
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Lesson Overview
1 intro day built into unit 2 days for assessment for every unit 50 minute blocks Lesson At a Glance Differentiated Activities
Different from the RTI book – additional options
B= Buffet
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Parts of Lesson
Engage (hook) Teach and Talk Practice Problem Solving and Test Prep HOT problems Quick Check (If then statements) Sum It UP
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Assessments
2 baseline options: WE USE BEGINNING OF THE YEAR TEST
Middle of the Year and End of Year Tests Chapter Assessments
Form A and Form B- Push for Form B In consumable Text Book-Pre, Mid, Review,
and Test PBA- with rubric
One for each chapter and one for each critical area
Student samples with rubric for each level
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Technology – Plan/Engage/Learn ePlanner – quick glance of lesson
(objective CCLS, MP, scope and seq., view/print online resources)
Whiteboard Lessons: interactive; select elements; teacher notes
Animated Math Models: Learn, Do, Practice, Quiz G1-2 Curious George, G3-5 Carmen Sandiego
Games: G1-2 Curious George, G3-5 Carmen Sandiego
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Technology – Plan/Engage/Learn Online Readers: 3 levels iTools: virtual manipulatives with
feedback Online Assessment Mega Math: animated activities
with feedback PD Podcasts: 4 – 7 video segments
per strand
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Reflection
What were some challenges you had in implementing the common core standards in ELA last year?
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Instructional Shifts in ELA
Balancing Informational and Literary Texts
Knowledge in the Disciplines Staircase of Complexity Text-Based Answers Writing from Sources Academic Vocabulary
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4 Key Program Priorities
Quality Tests – 50/50 Quality Questions and Tasks Foundational Reading Skills Writing to Sources
Key elements of lesson align well to FFT
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Breakdown of Program
Units K-2
6 units (2 modules in each unit) 3-5
4 units (2 modules in each unit) Big Ideas supported in each unit Aligned with Science and SS
Anchor Texts Each unit has 2 anchor texts (one per
module)
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Breakdown of Program
Supporting Texts These texts may come as trade books or be in
the text collection book Text Collection
Primary sources, articles, etc. Sleuth
Whole/small group-close reading Reading and Writing Journal
Follows lesson Notebooks- Reading Response Journal & Writers
Journal
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Structure of Lesson
Whole Group Build Understanding
Teaching Point/Focus
First Read of the Lesson Explore text
Introduce text, essential questions, make predictions Read Aloud
Reading to get the gist Ask these questions
What did you read? What did you learn? What questions do you have?
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Structure of Lesson
Whole Group Second Read of the Lesson
Close reading These questions are to be used to guide discussions
Focused Reading Instruction Text Based Vocabulary
Vocabulary Routine (Daily) Context Clues Look it up Synonyms Compare and Contrast Discuss Word Use the word
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Structure of Lesson
Whole Group Text Based Conversations
Student centered discussions Team Talk
Reading Analysis Teaching the skills Teacher models Graphic Organizer
Independent Practice
Wrap Up Students can give each other feedback
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Structure of Lesson
Small Group Scaffold Instruction
Reading Analysis- On Level Close Reading Workshop- Below Level Extend Concepts- Enrichment
Conferencing Take anecdotal notes Meet with each group at least once a week
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Structure of Lesson
Whole Group Whole group writing component Uses the same text from reading lesson
through the lens of a writer How did the author?
Takes the reading skill and applies to writing EX: Character
Conventions Small Mini Grammar lesson Do before or after share- teacher discretion
Share
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Writing Workshop
Thursday and Friday writing that focuses on the writing process Drafts, conference notes, final drafts and
bulletin board work Monthly Writing Plan as a Grade using Scope and Sequence
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Assessments
Baseline Assessment Progress Monitoring
happening daily- if then statements Adjust groups
Next Generation Assessments End of Unit test Multiple choice, Short Response and
Extended Response PARCC Like tests
PBA’s 2 per unit
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Technology
Ready Gen website:http://www.pearsonschool.com/nycreadygenPassword protected materials: welcomenycTeacher Editions, scope sequence (save PDF)
Project student materialsUse PB tools for interactivity and optimal
viewingSleuth and Text CollectionsStudent Workbooks
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Extras
Homework Independent Reading done for homework with
leveled book Responses should address same skill from lesson
DEAR Time Last 20 min of day
Spelling Spelling lists by grade
First 10 days
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Observation Choices Made by 10/9
1 Formal 22 competencies
shown in lesson plan and artifacts
3 Informal Cannot be
rescheduled
6 Informal All 22
competencies MUST be shown by the end of the year
If they are not, more informal observations can be done
Option #1 Option #2
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