a story of units
DESCRIPTION
A Story of Units. Grade K – Module 4. Session Objectives. Examine the development of mathematical understanding across the module by focusing on several lessons in Module 4. Lesson demonstration Opportunity for you to teach a lesson to your peers Observe and score an assessment - PowerPoint PPT PresentationTRANSCRIPT
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
NYS COMMON CORE MATHE MATICS CURRI CULUM A Story of Units
A Story of UnitsGrade K – Module 4
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Session Objectives
• Examine the development of mathematical understanding across the module by focusing on several lessons in Module 4.– Lesson demonstration– Opportunity for you to teach a lesson to your peers– Observe and score an assessment
• Introduce mathematical models and instructional strategies to support curriculum implementation.
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Agenda
Introduction to the ModuleLesson StudyAdministration of AssessmentsModule Review
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Curriculum Overview of A Story of Units
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Introduction to the Module
• Read the narrative in the Module Overview.
• Look at the objective chart.• Video/demonstration focuses on L1• You will have an opportunity to try key
lessons and share concepts from each topic
Module Overview
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Agenda
Introduction to the ModuleLesson StudyAdministration of AssessmentsModule Review
![Page 7: A Story of Units](https://reader036.vdocument.in/reader036/viewer/2022062501/56815ebe550346895dcd4246/html5/thumbnails/7.jpg)
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Demonstration Lesson
Lesson 1 objective:Model composition and decomposition of numbers to 5
using actions, objects, and drawings.
Lesson 1, Concept Development
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Demonstration Lesson
Lesson 1, Concept Development
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Number Bond Model
Module 4 – Topic A
Actions Objects Drawings Numbers
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Number Bond Flash
Lesson 7, Fluency
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Participant Demonstrations
11
TB, Lesson 10: AP, CDTC, Lesson 13: CD, SDTD, Lessons 19, 20, 22: Demonstrate subtraction strategies: break off, hide,
and cross off a partTE, Lesson 27: CD, SDTF, Lessons 29-31: Describe the progression of addition word problems in this
topic.TG, Lessons 33-36: Describe the progression of subtraction word problems in
this topic.TH, Lesson 37: CD and SD
Module 4
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Participant Demonstration Lesson
12
Lesson 10 objective: Model decompositions of 6-8 using linking cube sticks to see patterns. (Application Problem and Concept Development)
• How will decomposing numbers less than or equal to 10 in more than one way help students with Level 2 and 3 problem solving? (K.OA.3)
Module 4, Lesson 10
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Participant Demonstration Lesson
13
Lesson 13 objective: Represent decomposition and composition addition stories to 6 with drawing and equations with no unknown. (Concept Development and Debrief)
• How do math drawings and number bonds support the use of number sentences (equations) in this lesson?
Module 4, Lesson 13
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Participant Demonstration Lesson
14
Lessons 19, 20, 22: Demonstrate subtraction methods: break off, hide, and cross off a part
• How do these concrete methods help Kindergarteners understand the concept of subtraction?
Module 4, Topic D
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Participant Demonstration Lesson
15
Lesson 27: Model decompositions of 10 using a story situation, objects, and number bonds.
• Why do Kindergarteners need to be able to find the number that makes 10 with any number from 1 to 9? (K.OA.4)
Module 4, Lesson 27
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Core Fluency Practice Sets
Module 4, Topics F, G & H
• Daily practice for review and mastery of
the sums and differences with totals
through 5
• 5 sets (easy hard)
• 96 seconds (6/problem)
• Students move at own pace through
series
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Core Fluency Sprints
Module 4, Topics F, G & H
• Cover sums and differences with totals
through 5
• 4 sets (easy hard)
• Select one sprint for entire class
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Participant Demonstration Lesson
18
Lessons 29-31: Describe the progression of addition word problems in this topic.
• How does the progression of word problems adhere to the OA Progressions Table 2: Addition and subtraction situations by grade level? (K.OA.2)
Module 4, Topic F
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Addition Situations by Grade Level
Operations and Algebraic Thinking Progressions Document, p. 9
Module 4, Topic F
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Participant Demonstration Lesson
20
Lessons 33-36: Describe the progression of subtraction word problems in this topic.
• How does the progression of word problems adhere to the OA Progressions Table 2: Addition and subtraction situations by grade level? (K.OA.2)
Module 4, Topic G
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Subtraction Situations by Grade Level
Operations and Algebraic Thinking Progressions Document, p. 9
Module 4, Topic G
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Participant Demonstration Lesson
22
Lesson 37: Add or subtract 0 to get the same number and relate to word problems wherein the same quantity that joins a set, separates.• How does working with the number path aid
students’ understanding of the additive identity?
• How does the number path assist students in understanding that addition and subtraction are inverse operations?
Module 4, Lesson 37
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Agenda
Introduction to the ModuleLesson StudyAdministration of AssessmentsModule Review
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Module Assessments
24
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Module Assessments
25
• What are your first impressions seeing this video?
• How do the questions here assess students’ mathematical understanding?
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Module Assessments: Rubrics
26
• Read the rubric for Module 4 Topic A.
• Where does this student fall on the progression toward mastery?
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Module Assessments: Reflection
27
• What skills or understanding has the student mastered?
• Where do the student’s misunderstandings lie?
• What can you do to support this student towards reaching mastery of this concept/standard?
Turn and talk with others at your table about your observations.
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Agenda
Introduction to the ModuleConcept DevelopmentAdministration of AssessmentsModule Review
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Biggest Takeaway
Turn and Talk:• What questions were answered for you?• What new questions have surfaced?
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
• Key Points• Numbers can be decomposed from wholes into parts in a
variety of ways. These decompositions can be represented with concrete, pictorial, or numerical number bonds.
• Using number bonds and drawings, story situations can be mathematized and subsequently represented as addition or subtraction equations.
• In the context of number bonds, addition and subtraction sentences, students formalize their understanding of part/whole relationships and begin to see the inverse relationship between addition and subtraction.