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Kindergarten Scope and Sequence for Math Math Number of
Instructional Days
September 11th to October 4th (15 Instructional Days)
Chapter 1: Numbers to 5 (Unit 1: Counting & Cardinality) 15
October 7th to October 30th (18 Instructional Days)
Chapter 2: Numbers to 10 (Unit 1: Counting & Cardinality) 18
October 31st to November 19th (12 Instructional Days)
Chapter 3: Order by Size, Length, or Weight (Unit 4: Measurement and Data) 12
November 20th to December 20th (21 Instructional Days)
Chapter 4: Counting & Numbers 0 to 10 (Unit 1: Counting & Cardinality)
21
January 2nd to January 9th (6 Instructional Days)
Chapter 5: Size & Position (Unit 1: Counting & Cardinality)
6
January 10th to January 31st (15 Instructional Days)
Chapter 6: Counting & Numbers to 20 (Unit 3: Numbers and Operations in Base Ten) 15
February 1st to February 19th (9 Instructional Days)
Chapter 7: Solid & Flat Shapes (Unit 5: Geometry) 9
February 20th to March 12th (16 Instructional Days)
Chapter 8: Numbers to 100 (Unit 1: Counting & Cardinality)
16
March 13th to March 27th (11 Instructional Days)
Chapter 9: Comparing Sets (Unit 1: Counting & Cardinality)
11
March 30th to April 7th (6 Instructional Days)
Chapter 12: Counting On and Counting Back (Unit 1: Counting & Cardinality)
6
April 8th to May 1st (12 Instructional Days)
Chapter 14: Number Facts (Unit 2: Operations and Algebraic Thinking) 12
May 4th to May 13th (7 Instructional Days)
Chapter 17: Addition Stories (Unit 2: Operations and Algebraic Thinking) 7
May 14th to May 15th (2 Instructional Days)
Chapter 15: Length & Height (Unit 4: Measurement and Data) 2
May 18th to May 19th (2 Instructional Days)
Chapter 19: Measurement (Unit 4: Measurement and Data) 2
May 20th to June 2nd (8 Instructional Days)
Chapter 18: Subtraction Stories (Unit 2: Operations and Algebraic Thinking) 8
June 3rd to June 9th (4 Instructional Days)
Chapter 16: Classifying & Sorting( Unit 4: Measurement and Data) 4
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Math Grade: Kindergarten Unit 1: Counting and Cardinality
In the Counting and Cardinality unit the students will be able to know number names and the count sequence, count to tell the number of objects, and compare numbers. Counting and Cardinality and Operations and Algebraic Thinking are about understanding and using numbers. Counting and Cardinality underlies Operations and Algebraic Thinking as well as Number and Operations in Base Ten. It begins with early counting and telling how many in one group of objects. Addition, subtraction, multiplication, and division grow from these early roots. From its very beginnings, this Progression involves important ideas that are neither trivial nor obvious; these ideas need to be taught, in ways that are interesting and engaging to young students.
NJ Student Learning Standards K.CC.A.1 Count to 100 by ones and by tens. K.CC.A.2 Count forward beginning from a given number within the known sequence (instead of having to begin at one). K.CC.A.3 Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects). K.CC.B.4 Understand the relationship between numbers and quantities; connect counting to cardinality. K.CC.B.4a When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. K.CC.B.4b Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. K.CC.B.4c Understand that each successive number name refers to a quantity that is one larger. K.CC.B.5 Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1-20, count out that many objects. K.CC.C.6 Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. K.CC.C.7 Compare two numbers between 1 and 10 presented as written numerals.
Enduring Understandings/Goals Essential Questions ● Counting involves one-to-one correspondence ● One can count by different amounts (ones, tens etc.) ● There is a relationship between the numbers and quantities. ● When counting, each object has one and only one number
name and each number name is paired with one and only one object (one-to-one correspondence).
● When counting, the last number name said tells the number of objects counted.
● The number of objects is the same regardless of the order in which they were counted.
● Each successive number name refers to a quantity that is one larger.
● “Greater than” means the amount is more; “less than” means the amount is less.
● Why do we count? ● How do we count? ● How can we compare two numbers?
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● A numeral stands for a number of concrete objects. Chapters Lessons Chapter 1: Numbers to 5 Lesson 1: All About 1 and 2
Lesson 2: Finding Matches Lesson 3: Not the Same but Different: All About 3 Lesson 4: Why is This Different? All About 4 Lesson 5: All About 5 Lesson 6: Spotting Small Differences
Chapter 2: Numbers to 10
Lesson 1: All About 6 Lesson 2: All About 7 Lesson 3: All About 8 Lesson 4: Numbers 0-9 Lesson 5: Pairing Sets with Numbers Lesson 6: Pairing One-to-One
Chapter 4: Counting & Numbers to 0 to 10
Lesson 1: Composing and Decomposing 5 Lesson 2: Counting and Ordering up to 10 Lesson 4: Same Numbers and More Lesson 5: Fewer Than Lesson 6: How Many in All?
Chapter 5: Size and Position
Lesson 1: Big and Small Things Lesson 2: Does it Fit? Lesson 3: Positions Lesson 4: “Before” and “After”
Chapter 8: Numbers to 100
Lesson 1: Counting by 2’s Lesson 2: Counting by 5’s Lesson 3: Counting by 10’s to 100 Lesson 4: Numbers 20 to 49 Lesson 5: Numbers 50 to 79 Lesson 6: Numbers 80 to 100 Lesson 7: Numbers 1 to 100
Chapter 9: Comparing Sets
Lesson 1: Comparing Sets up to 10 Lesson 2: Comparing Sets of 11 to 20 Lesson 3: Comparing Sets to Find the Difference Lesson 4: Combining Sets
Chapter 12: Counting On and Counting Back
Lesson 1: Counting On to 10 Lesson 2: Counting Back Using Fingers Lesson 3: Finding Differences Using Fingers
Skills (Students will be able to…)
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● Multiples of ten. ● How to count. ● How to write the numerals 0 – 9. ● How to count a number of objects. ● The connection between counting and cardinality. ● One-to-one correspondence. ● Matching strategies to identify the number of objects in a group of up to 10 objects. ● Counting strategies to identify the number of objects in a group of up to 10 objects.
Evidence of Learning (Assessments) Accommodations and Modifications
Formative Assessments:
● Student Book ● Math Talk ● Cumulative Assessments ● Interview Assessments
Summative Assessments:
● Kindergarten Math in Focus Cumulative Assessments
Benchmark Assessments:
● Initial LinkIt Benchmark: September ● Mid-year LinkIt Benchmark: December ● End of year LinkIt Benchmark: Last week in April ● Beginning of the Year, Mid-Year and End-of-Year Math Assessments
Alternative Assessments:
● Kindergarten Math in Focus Interview Assessments ● Kindergarten Math in Focus Performance Based Assessments ● G & T Assessments:Sages-2 Screening Assessment for Gifted Elementary:
Mathematics/Science Language Arts/Social Studies ● Reasoning
Special Education
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Curricular Modifications and Guidance for Students Educated in Special Class Settings
Differentiation: ● Preview content and concepts ● Behavior management plan ● Highlight text ● Small group setting
High-Prep Differentiation: ● Alternative formative and summative assessments ● Guided Reading ● Personal agendas ● Project-based learning ● Problem-based learning ● Stations/centers ● Tiered activities/assignments ● Varying organizers for instructions
Low-Prep Differentiation: ● Clubbing activities ● Exploration by interest ● Flexible groupings
English Language Learners
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● Dyslexia Screener ● PRIM checklist ● Computational Skills Grade Placement Test
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Unit 1: Curriculum for ELL ● Subgroup Accommodations and Modifications ● Multi-language glossary ● Pupil edition in Spanish ● Vocabulary flash cards
Students at Risk for Failure
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications
Gifted and Talented
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Math in Focus or Big Ideas G & T Activities
Students with 504 Plans
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications
Core Instructional and Supplemental Materials Professional Resources:
Core Instructional, Supplemental, Instructional, and Intervention Resources
Core Professional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Kindergarten Math in Focus Manipulatives ● Big Books KA/KB ● Student Book KA/KB ● Extra Practice KA/KB
Core Instructional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Big Books KA/KB ● Student Book KA/KB ● Kindergarten Math in Focus Manipulatives ● Assessments K
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● Enrichment KA/KB ● Assessments K
Supplemental Professional Resources:
● Math in Focus Curriculum ● Denis Sheeran Training Resources ● http://www.corestandards.org/Math/Practice/ ● http://www.madisonpublicschools.org/page/231
Supplemental Resources:
● Extra Practice KA/KB ● Enrichment KA/KB ● Math Centers ● 3 Act Lessons ● Robert Kaplinsky Lessons ● Open Middle - Kinder: Counting & Cardinality ● Which One Doesn’t Belong? ● Solve Me Puzzles ● Estimation 180 ● Same or Different ● Visual Patterns ● Esti-Mysteries ● 51 Esti-Mysteries ● Splat Math
Intervention Resources:
● Extra Practice KA/KB ● Enrichment KA/KB ● iReady ● Linkit! ● IXL ● Big Ideas ● Classroom Manipulatives ● Online Manipulatives ● Content from previous grade levels ● Touch Math
Interdisciplinary Connections Integration of Technology through NJSLS
● Correlates to the Goods & Services and Black History units in Social Studies. ● Correlates to the Basic Needs of Living Things unit in Science.
8.1 Educational Technology 8.1.2.A.1 Identify the basic features of a digital device and explain its purpose 8.1.2.C.1 Engage in a variety of developmentally appropriate learning activities with students in other classes, schools, or countries using various media formats such as online collaborative tools, and social media. 8.1.2.E.2 Use digital tools and online resources to explore a problem or issue. 8.1.2.F.1 Use geographic mapping tools to plan and solve problems.
● Listen to books on CDs, tapes, videos or podcasts if available. ● Listen to books on websites (pbskids.org/lions/index.html, storylineonline.net,
storyit.com, Elementary Connections Page) ● Use document camera or overhead projector for shared reading of texts. ● Use virtual manipulatives ● Use Think Central ● Use IXL.com
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8.2 Technology Education, Engineering, Design, and Computational Thinking - Programming 8.1.2.A.3 Identify a system and the components that work together to accomplish its purpose. 8.2.2.B.3 Identify products or systems that are designed to meet human needs 8.2.2.D.1 Collaborate and apply a design process to solve a simple problem from everyday experiences. 8.2.2.E.1 List and demonstrate the steps to an everyday task.
Integration of 21st Century Themes Media Literacy Integration
Learning and Innovation Skills: Critical Thinking & Problem Solving
● Reason Effectively ● Use Systems Thinking ● Making Judgements and Decisions ● Solve Problems
Communication and Collaboration ● Communicate Clearly
Life and Career Skills Initiative and Self Direction
● Manage Goals and Time ● Work Independently ● Be Self-directed Learners
● Have students practice skills using IXL ● Students create problems on the tablets and share them with classmates ● Kahn Academy ● Brain Pop
Career Education Global Perspectives
9.1 Personal Finance Literacy 9.1.4.A.1 Explain the difference between a career and a job and identify various jobs in the community and the related earnings. 9.1.4.B.1 Differentiate between financial wants and needs 9.2 Career Awareness, Exploration, and Preparation 9.2.4.A.2 Identify various life roles and civic and work-related activities in the school, home, and community. 9.2.4.A.4 Explain why knowledge and skills acquired in the elementary grades lay the foundation for future academic and career success.
● National Hispanic-Latino Month ● National Disability Employment Awareness Month ● International Dot Day (September 16) ● Week of Respect ● Red Ribbon Week ● National Italian American Heritage Month ● National American Indian Heritage Month ● Black History Month ● Kindness Month ● National Women’s History Month ● National Irish-American Heritage Month ● Asian Pacific American Heritage Month ● Older Americans’ Month ● Jewish American Heritage Month
Math Grade: Kindergarten
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Unit 2: Operations and Algebraic Thinking In the Operations and Algebraic Thinking unit the students will be able to understand addition as putting together and adding to, and subtraction as taking apart and taking from.
The Progression in Operations and Algebraic Thinking deals with the basic operations—the kinds of quantitative relationships they model and consequently the kinds of problems they can be used to solve as well as their mathematical properties and relationships. Although most of the standards organized under the OA heading involve whole numbers, the importance of the Progression is much more general because it describes concepts, properties, and representations that extend to other number systems, to measures, and to algebra.
The generality of the concepts involved in Operations and Algebraic Thinking means that students’ work in this area should be designed to help them extend arithmetic beyond whole numbers and understand and apply expressions and equations in later grades.
Addition and subtraction are the first operations studied. Initially, the meaning of addition is separate from the meaning of sub- traction, and students build relationships between addition and subtraction over time. Subtraction comes to be understood as reversing the actions involved in addition and as finding an unknown addend. Likewise, the meaning of multiplication is initially separate from the meaning of division, and students gradually perceive relationships between division and multiplication analogous to those between addition and subtraction, understanding division as reversing the actions involved in multiplication and finding an unknown product.
NJ Student Learning Standards K.OA.A.1 Represent addition and subtraction up to 10 with objects, fingers, mental images, drawings, sounds (e.g., claps, acting out situations, verbal explanations, expressions, or equations). K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. K.OA.A.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1). K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. K.OA.A.5 Demonstrate fluency for addition and subtraction within 5.
Enduring Understandings/Goals Essential Questions Students will understand that…
● Numbers can be decomposed. ● Making a sum of 10 will be important to make work easier. ● Objects, mental images, drawings, sound, acting out situations, verbal explanations,
expressions, or equations can help one understand problems and find solutions.
● Why do we need to add and subtract? ● What happens when we put groups together or add to a group? ● What happens when we take apart groups or take away from a group?
Chapters Lessons Chapter 14: Number Facts Lesson 1: Number Facts to 10
Lesson 2: Combining Sets Lesson 3: Composing and Decomposing Numbers to 20 Lesson 4: Counting On
Chapter 17: Addition Stories Lesson 1: Writing Addition Sentences and Representing Addition Stories Lesson 2: Addition Facts to 5
Chapter 18: Subtraction Stories
Lesson 1: Writing Subtraction Sentences and Representing Addition Stories Lesson 2: Comparing Sets
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Lesson 3: Subtraction Facts to 5 Skills (Students will be able to…)
● Addition and subtraction can be represented in multiple ways. ● Numbers can be decomposed.
Evidence of Learning (Assessments) Accommodations and Modifications
Formative Assessments:
● Student Book ● Math Talk ● Cumulative Assessments ● Interview Assessments
Summative Assessments:
● Kindergarten Math in Focus Cumulative Assessments
Benchmark Assessments:
● Initial LinkIt Benchmark: September ● Mid-year LinkIt Benchmark: December ● End of year LinkIt Benchmark: Last week in April ● Beginning of the Year, Mid-Year and End-of-Year Math Assessments
Alternative Assessments:
● Kindergarten Math in Focus Interview Assessments ● Kindergarten Math in Focus Performance Based Assessments ● G & T Assessments:Sages-2 Screening Assessment for Gifted Elementary:
Mathematics/Science Language Arts/Social Studies ● Reasoning ● Dyslexia Screener ● PRIM checklist ● Computational Skills Grade Placement Test
Special Education
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Curricular Modifications and Guidance for Students Educated in Special Class Settings
Differentiation: ● Preview content and concepts ● Behavior management plan ● Highlight text ● Small group setting
High-Prep Differentiation: ● Alternative formative and summative assessments ● Guided Reading ● Personal agendas ● Project-based learning ● Problem-based learning ● Stations/centers ● Tiered activities/assignments ● Varying organizers for instructions
Low-Prep Differentiation: ● Clubbing activities ● Exploration by interest ● Flexible groupings
English Language Learners
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Unit 1: Curriculum for ELL ● Subgroup Accommodations and Modifications ● Multi-language glossary
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● Pupil edition in Spanish ● Vocabulary flash cards
Students at Risk for Failure
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications
Gifted and Talented
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Math in Focus or Big Ideas G & T Activities
Students with 504 Plans
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications
Core Instructional and Supplemental Materials Professional Resources:
Core Instructional, Supplemental, Instructional, and Intervention Resources
Core Professional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Kindergarten Math in Focus Manipulatives ● Big Books KA/KB ● Student Book KA/KB ● Extra Practice KA/KB ● Enrichment KA/KB ● Assessments K
Supplemental Professional Resources:
Core Instructional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Big Books KA/KB ● Student Book KA/KB ● Kindergarten Math in Focus Manipulatives ● Assessments K
Supplemental Resources:
● Extra Practice KA/KB ● Enrichment KA/KB
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● Math in Focus Curriculum ● Denis Sheeran Training Resources ● http://www.corestandards.org/Math/Practice/ ● http://www.madisonpublicschools.org/page/231
● Math Centers ● 3 Act Lessons ● Robert Kaplinsky Lessons ● Open Middle - Kinder: Operations and Algebraic Thinking ● Which One Doesn’t Belong? ● Solve Me Puzzles ● Estimation 180 ● Same or Different ● Visual Patterns ● Esti-Mysteries ● 51 Esti-Mysteries ● Splat Math
Intervention Resources:
● Extra Practice KA/KB ● Enrichment KA/KB ● iReady ● Linkit! ● IXL ● Big Ideas ● Classroom Manipulatives ● Online Manipulatives ● Content from previous grade levels ● Touch Math
Interdisciplinary Connections Integration of Technology through NJSLS
● Correlates to the Goods & Services unit in Social Studies. ● Correlates to the Pushes & Pulls unit in Science.
8.1 Educational Technology 8.1.2.A.7 Enter information into a database or spreadsheet and filter the information 8.1.2.B.1 Illustrate and communicate original ideas and stories using multiple digital tools and resources. 8.1.5.C.1 Engage in a variety of developmentally appropriate learning activities with students in other classes, schools, or countries using various media formats such as online collaborative tools, and social media. 8.1.2.E.2 Use digital tools and online resources to explore a problem or issue. 8.2 Technology Education, Engineering, Design, and Computational Thinking - Programming
● Listen to books on CDs, tapes, videos or podcasts if available. ● Listen to books on websites (pbskids.org/lions/index.html, storylineonline.net,
storyit.com, Elementary Connections Page) ● Use document camera or overhead projector for shared reading of texts. ● Use virtual manipulatives ● Use Think Central ● Use IXL.com
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8.2.2.A.5 Collaborate to design a solution to a problem affecting the community. 8.2.2.B.4 Identify how the ways people live and work has changed because of technology. 8.2.2.D.5 Identify how using a tool aids in reducing work. 8.2.2.E.5 Use appropriate terms in conversation (e.g., basic vocabulary words: input, output, the operating system, debug, and algorithm)
Integration of 21st Century Themes Media Literacy Integration
Learning and Innovation Skills: Critical Thinking & Problem Solving
● Reason Effectively ● Use Systems Thinking ● Making Judgements and Decisions ● Solve Problems
Communication and Collaboration ● Communicate Clearly
Life and Career Skills Initiative and Self Direction
● Manage Goals and Time ● Work Independently ● Be Self-directed Learners
● Have students practice skills using IXL ● Students create problems on the tablets and share them with classmates ● Kahn Academy ● Brain Pop
Career Education Global Perspectives
9.1 Personal Finance Literacy 9.1.4.A.3 Explain how income affects spending and take-home pay. 9.1.4.B.3 Explain what a budget is and why it is important. 9.1.4.C.5 Determine the relationships income, expenses, and lending. 9.2 Career Awareness, Exploration, and Preparation 9.2.4.A.1 Identify reasons why people work, different types of work, and how work can help a person achieve personal and professional goals. 9.2.4.A.4 Explain why knowledge and skills acquired in the elementary grades lay the foundation for future academic and career success.
● Asian Pacific American Heritage Month ● Older Americans’ Month ● Jewish American Heritage Month
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Math Grade: Kindergarten Unit 3: Numbers and Operations in Base Ten
In the Number and Operations in Base Ten unit the students will be able to work with numbers 11-19 to gain foundations for place value.
Students’ work in the base-ten system is intertwined with their work on counting and cardinality, and with the meanings and properties of addition, subtraction, multiplication, and division. Work in the base-ten system relies on these meanings and properties, but also contributes to deepening students’ understanding of them.
NJ Student Learning Standards K.NBT.A.1 Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (such as 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. Enduring Understandings/Goals Essential Questions
Students will understand that… ● Why do we compose and decompose numbers?
● Teen numbers (11-19) are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.
Chapters Lessons Chapter 6: Counting & Numbers to 20
Lesson 1: All About 10 Lesson 2: Numbers 10 to 12 Lesson 3: Numbers 13 to 16 Lesson 4: Numbers 17 to 20 Lesson 5: Compare and Order
Skills (Students will be able to…) ● Composing and decomposing numbers into tens and ones will help solve problems
Evidence of Learning (Assessments) Accommodations and Modifications
Formative Assessments:
● Student Book ● Math Talk ● Cumulative Assessments ● Interview Assessments
Special Education
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Curricular Modifications and Guidance for Students Educated in Special Class Settings
Differentiation: ● Preview content and concepts
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Summative Assessments:
● Kindergarten Math in Focus Cumulative Assessments
Benchmark Assessments:
● Initial LinkIt Benchmark: September ● Mid-year LinkIt Benchmark: December ● End of year LinkIt Benchmark: Last week in April ● Beginning of the Year, Mid-Year and End-of-Year Math Assessments
Alternative Assessments:
● Kindergarten Math in Focus Interview Assessments ● Kindergarten Math in Focus Performance Based Assessments ● G & T Assessments:Sages-2 Screening Assessment for Gifted Elementary:
Mathematics/Science Language Arts/Social Studies ● Reasoning ● Dyslexia Screener ● PRIM checklist ● Computational Skills Grade Placement Test
● Behavior management plan ● Highlight text ● Small group setting
High-Prep Differentiation: ● Alternative formative and summative assessments ● Guided Reading ● Personal agendas ● Project-based learning ● Problem-based learning ● Stations/centers ● Tiered activities/assignments ● Varying organizers for instructions
Low-Prep Differentiation: ● Clubbing activities ● Exploration by interest ● Flexible groupings
English Language Learners
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Unit 1: Curriculum for ELL ● Subgroup Accommodations and Modifications ● Multi-language glossary ● Pupil edition in Spanish ● Vocabulary flash cards
Students at Risk for Failure
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications
Gifted and Talented
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Math in Focus or Big Ideas G & T Activities
Students with 504 Plans
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● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications
Core Instructional and Supplemental Materials Professional Resources:
Core Instructional, Supplemental, Instructional, and Intervention Resources
Core Professional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Kindergarten Math in Focus Manipulatives ● Big Books KA/KB ● Student Book KA/KB ● Extra Practice KA/KB ● Enrichment KA/KB ● Assessments K
Supplemental Professional Resources:
● Math in Focus Curriculum ● Denis Sheeran Training Resources ● http://www.corestandards.org/Math/Practice/ ● http://www.madisonpublicschools.org/page/231
Core Instructional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Big Books KA/KB ● Student Book KA/KB ● Kindergarten Math in Focus Manipulatives ● Assessments K
Supplemental Resources:
● Extra Practice KA/KB ● Enrichment KA/KB ● Math Centers ● 3 Act Lessons ● Robert Kaplinsky Lessons ● Open Middle - Kinder: Numbers and Operations in Base Ten ● Which One Doesn’t Belong? ● Solve Me Puzzles ● Estimation 180 ● Same or Different ● Visual Patterns ● Esti-Mysteries ● 51 Esti-Mysteries ● Splat Math
Intervention Resources:
● Extra Practice KA/KB ● Enrichment KA/KB ● iReady ● Linkit!
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● IXL ● Big Ideas ● Classroom Manipulatives ● Online Manipulatives ● Content from previous grade levels ● Touch Math
Interdisciplinary Connections Integration of Technology through NJSLS
● Correlates to the Citizenship unit in Social Studies. ● Correlates to the Basic Needs of Humans unit in Science.
8.1 Educational Technology 8.1.2.A.1 Identify the basic features of a digital device and explain its purpose. 8.1.2.A.2 Create a document using a word processing application. 8.1.2.C.1 Engage in a variety of developmentally appropriate learning activities with students in other classes, schools, or countries using various media formats such as online collaborative tools, and social media. 8.1.2.E.2 Use digital tools and online resources to explore a problem or issue. 8.2 Technology Education, Engineering, Design, and Computational Thinking - Programming 8.2.2.A.2 Describe how designed products and systems are useful at school, home and work. 8.2.2.B.1 Identify how technology impacts and improves life. 8.2.2.D.4 Identify the resources needed to create technological products or systems 8.2.2.E.1 List and demonstrate the steps to an everyday task.
● Listen to books on CDs, tapes, videos or podcasts if available. ● Listen to books on websites (pbskids.org/lions/index.html, storylineonline.net,
storyit.com, Elementary Connections Page) ● Use document camera or overhead projector for shared reading of texts. ● Use virtual manipulatives ● Use Think Central ● Use IXL.com
Integration of 21st Century Themes Media Literacy Integration
Learning and Innovation Skills: Critical Thinking & Problem Solving
● Reason Effectively ● Use Systems Thinking ● Making Judgements and Decisions ● Solve Problems
Communication and Collaboration ● Communicate Clearly
Life and Career Skills Initiative and Self Direction
● Manage Goals and Time ● Work Independently ● Be Self-directed Learners
● Have students practice skills using IXL ● Students create problems on the tablets and share them with classmates ● Kahn Academy ● Brain Pop
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Career Education Global Perspectives
9.1 Personal Finance Literacy 9.1.4.A.3 Explain how income affects spending and take-home pay. 9.1.4.B.3 Explain what a budget is and why it is important. 9.1.4.C.5 Determine the relationships income, expenses, and lending. 9.2 Career Awareness, Exploration, and Preparation 9.2.4.A.1 Identify reasons why people work, different types of work, and how work can help a person achieve personal and professional goals. 9.2.4.A.4 Explain why knowledge and skills acquired in the elementary grades lay the foundation for future academic and career success.
● Black History Month ● Kindness Month
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Math Grade: Kindergarten Unit 4: Measurement and Data
In the Measurement and Data unit the students will be able to describe and compare measurable attributes and classify objects and count the number of objects in each category. Geometric measurement connects the two most critical domains of early mathematics, geometry and number, with each providing conceptual support to the other. Measurement is central to mathematics, to other areas of mathematics (e.g., laying a sensory and conceptual foundation for arithmetic with fractions), to other subject matter domains, especially science, and to activities in everyday life. For these reasons, measurement is a core component of the mathematics curriculum.
NJ Student Learning Standards K.MD.A.1 Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object. K.MD.A.2 Directly compare two objects with a measurable attribute in common, to see which object has "more of"/"less of" the attribute, and describe the difference. For example, directly compare the heights of two children and describe one child as taller/shorter. K.MD.B.2 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.1
Enduring Understandings/Goals Essential Questions Students will understand that…
● Measurable attributes are a way to compare objects. ● An object may have multiple measurable attributes. ● Multiple objects may have the same measurable attribute. ● Classifying objects helps to count total numbers. ● Objects can be described by their attributes. ● Objects can be sorted by their attributes.
● Why do we need to measure objects? ● What attributes are measurable? ● How do we compare objects? ● Why do we need to classify objects? ● How does sorting help us to count?
Chapters Lessons Chapter 3: Order by Size, Length, & Weight
Lesson 1: Ordering Things by Size Lesson 2: Comparing Size Lesson 3: Ordering Things by Length Lesson 4: Ordering Things by Weight
Chapter 15: Length & Height Lesson 1: Comparing Lengths Lesson 2: Comparing Lengths Using Nonstandard Units Lesson 3: Comparing Heights Using Nonstandard Units
Chapter 19: Measurement Lesson 1: Comparing Weights Using Nonstandard Units Lesson 2: Comparing Capacities Lesson 3: Comparing Events in Time
Chapter 16: Classifying & Sorting
Lesson 1: Classifying Things by One Attribute Lesson 2: Classifying and Sorting Things by Two Attributes
Skills (Students will be able to…)
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● The potential attributes are measurable. ● Words that compare attributes. ● Attributes that can be used to sort or classify objects.
Evidence of Learning (Assessments) Accommodations and Modifications
Formative Assessments:
● Student Book ● Math Talk ● Cumulative Assessments ● Interview Assessments
Summative Assessments:
● Kindergarten Math in Focus Cumulative Assessments
Benchmark Assessments:
● Initial LinkIt Benchmark: September ● Mid-year LinkIt Benchmark: December ● End of year LinkIt Benchmark: Last week in April ● Beginning of the Year, Mid-Year and End-of-Year Math Assessments
Alternative Assessments:
● Kindergarten Math in Focus Interview Assessments ● Kindergarten Math in Focus Performance Based Assessments ● G & T Assessments:Sages-2 Screening Assessment for Gifted Elementary:
Mathematics/Science Language Arts/Social Studies ● Reasoning ● Dyslexia Screener ● PRIM checklist ● Computational Skills Grade Placement Test
Special Education
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Curricular Modifications and Guidance for Students Educated in Special Class Settings
Differentiation: ● Preview content and concepts ● Behavior management plan ● Highlight text ● Small group setting
High-Prep Differentiation: ● Alternative formative and summative assessments ● Guided Reading ● Personal agendas ● Project-based learning ● Problem-based learning ● Stations/centers ● Tiered activities/assignments ● Varying organizers for instructions
Low-Prep Differentiation: ● Clubbing activities ● Exploration by interest ● Flexible groupings
English Language Learners
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Unit 1: Curriculum for ELL ● Subgroup Accommodations and Modifications ● Multi-language glossary
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● Pupil edition in Spanish ● Vocabulary flash cards
Students at Risk for Failure
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications
Gifted and Talented
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Math in Focus or Big Ideas G & T Activities
Students with 504 Plans
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications
Core Instructional and Supplemental Materials Professional Resources:
Core Instructional, Supplemental, Instructional, and Intervention Resources
Core Professional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Kindergarten Math in Focus Manipulatives ● Big Books KA/KB ● Student Book KA/KB ● Extra Practice KA/KB ● Enrichment KA/KB ● Assessments K
Core Instructional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Big Books KA/KB ● Student Book KA/KB ● Kindergarten Math in Focus Manipulatives ● Assessments K
Supplemental Resources:
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Supplemental Professional Resources:
● Math in Focus Curriculum ● Denis Sheeran Training Resources ● http://www.corestandards.org/Math/Practice/ ● http://www.madisonpublicschools.org/page/231
● Extra Practice KA/KB ● Enrichment KA/KB ● Math Centers ● 3 Act Lessons ● Robert Kaplinsky Lessons ● Open Middle - Kinder: Measurement and Data ● Which One Doesn’t Belong? ● Solve Me Puzzles ● Estimation 180 ● Same or Different ● Visual Patterns ● Esti-Mysteries ● 51 Esti-Mysteries ● Splat Math
Intervention Resources:
● Extra Practice KA/KB ● Enrichment KA/KB ● iReady ● Linkit! ● IXL ● Big Ideas ● Classroom Manipulatives ● Online Manipulatives ● Content from previous grade levels ● Touch Math
Interdisciplinary Connections Integration of Technology through NJSLS
● Correlates to Time concepts taught throughout all Social Studies units. ● Correlates to the Effects of the Sun and Pushes & Pulls units in Science.
8.1 Educational Technology 8.1.2.A.3 Compare the common uses of at least two different digital applications and identify the advantages and disadvantages of using each. 8.1.2.C.1 Engage in a variety of developmentally appropriate learning activities with students in other classes, schools, or countries using various media formats such as online collaborative tools, and social media. 8.1.2.E.2 Use digital tools and online resources to explore a problem or issue.
● Listen to books on CDs, tapes, videos or podcasts if available. ● Listen to books on websites (pbskids.org/lions/index.html, storylineonline.net,
storyit.com, Elementary Connections Page) ● Use document camera or overhead projector for shared reading of texts. ● Use virtual manipulatives ● Use Think Central ● Use IXL.com
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8.2 Technology Education, Engineering, Design, and Computational Thinking - Programming 8.2.2.A.1 Describe how designed products and systems are useful at school, home, and work. 8.2.2.C.1 Brainstorm ideas on how to solve a problem or design a product. 8.2.2.D.1 Collaborate and apply a design process to solve a simple problem from everyday experiences. 8.2.2.D.5 Identify how using a tool aids in reducing work. 8.2.2.E.1 List and demonstrate the steps to an everyday task.
Integration of 21st Century Themes Media Literacy Integration
Learning and Innovation Skills: Critical Thinking & Problem Solving
● Reason Effectively ● Use Systems Thinking ● Making Judgements and Decisions ● Solve Problems
Communication and Collaboration ● Communicate Clearly
Life and Career Skills Initiative and Self Direction
● Manage Goals and Time ● Work Independently ● Be Self-directed Learners
● Have students practice skills using IXL ● Students create problems on the tablets and share them with classmates ● Kahn Academy ● Brain Pop
Career Education Global Perspectives
9.1 Personal Finance Literacy 9.1.4.A.2 Identify potential sources of income. 9.1.4.B.3 Explain what a budget is and why it is important. 9.1.4.D.1 Determine ways to save. 9.1.4.E.2 Apply comparison shopping skills to purchasing decisions 9.2 Career Awareness, Exploration, and Preparation 9.2.4.A.1 Identify reasons why people work, different types of work, and how work can help a person achieve personal and professional goals. 9.2.4.A.4 Explain why knowledge and skills acquired in the elementary grades lay the foundation for future academic and career success.
● Red Ribbon Week ● National Italian American Heritage Month ● National American Indian Heritage Month ● Asian Pacific American Heritage Month ● Older Americans’ Month ● Jewish American Heritage Month
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Math Grade: Kindergarten Unit 5: Geometry
In the geometry unit the students will be able to identify and describe shapes and analyze, compare, create, and compose shapes. Like core knowledge of numbers, core geometrical knowledge appears to be a universal capability of the human mind. Geometric and spatial thinking are important in and of themselves, because they connect mathematics with the physical world, and play an important role in modeling phenomena whose origins are not necessarily physical, for example, as networks or graphs. They are also important because they support the development of number and arithmetic concepts and skills. Thus, geometry is essential for all grade levels for many reasons: its mathematical content, its roles in physical sciences, engineering, and many other subjects, and its strong aesthetic connections.
NJ Student Learning Standards K.G.A.1 Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. K.G.A.2 Correctly name shapes regardless of their orientations or overall size. K.G.A.3 Identify shapes as two-dimensional (lying in a plane, "flat") or three-dimensional ("solid"). K.G.B.4 Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/"corners") and other attributes (e.g., having sides of equal length). K.G.B.5 Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. K.G.B.6 Compose simple shapes to form larger shapes. For example, "Can you join these two triangles with full sides touching to make a rectangle?" Enduring Understandings/Goals Essential Questions
● Shapes have positions in the world relative to other things. ● Characteristics of shapes give it a name. ● Shapes in the world can be built with components such as
sticks and clay balls. ● Shapes in the world can be drawn. ● Composing other shapes can form shapes.
● What characteristics of a shape help us to name it? ● How does knowing the name of shapes help us? ● Why do we need to know positions of shapes? ● Why do we need to identify shapes? ● Why would we compose shapes?
Chapters Lessons Chapter 7: Solids & Flat Shapes
Lesson 1: Solid Shapes Lesson 2: Flat Shapes in Solid Shapes Lesson 3: Flat Shapes Lesson 4: Flat Shape Pictures Lesson 5: Shape Patterns
Skills (Students will be able to…) ● The characteristics of a square, circle, triangle, rectangle, hexagon, cube, cylinder, and sphere. ● The meaning of the words above, below, beside, in front of, behind, and next to. ● The characteristics of a square, circle, triangle, rectangle, hexagon, cube, cylinder, and sphere. ● Components/representations that can be used to model shapes in the world.
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Evidence of Learning (Assessments) Accommodations and Modifications
Formative Assessments:
● Student Book ● Math Talk ● Cumulative Assessments ● Interview Assessments
Summative Assessments:
● Kindergarten Math in Focus Cumulative Assessments
Benchmark Assessments:
● Initial LinkIt Benchmark: September ● Mid-year LinkIt Benchmark: December ● End of year LinkIt Benchmark: Last week in April ● Beginning of the Year, Mid-Year and End-of-Year Math Assessments
Alternative Assessments:
● Kindergarten Math in Focus Interview Assessments ● Kindergarten Math in Focus Performance Based Assessments ● G & T Assessments:Sages-2 Screening Assessment for Gifted Elementary:
Mathematics/Science Language Arts/Social Studies ● Reasoning ● Dyslexia Screener ● PRIM checklist ● Computational Skills Grade Placement Test
Special Education
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Curricular Modifications and Guidance for Students Educated in Special Class Settings
Differentiation: ● Preview content and concepts ● Behavior management plan ● Highlight text ● Small group setting
High-Prep Differentiation: ● Alternative formative and summative assessments ● Guided Reading ● Personal agendas ● Project-based learning ● Problem-based learning ● Stations/centers ● Tiered activities/assignments ● Varying organizers for instructions
Low-Prep Differentiation: ● Clubbing activities ● Exploration by interest ● Flexible groupings
English Language Learners
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Unit 1: Curriculum for ELL ● Subgroup Accommodations and Modifications ● Multi-language glossary ● Pupil edition in Spanish ● Vocabulary flash cards
Students at Risk for Failure
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
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● Subgroup Accommodations and Modifications
Gifted and Talented
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications ● Math in Focus or Big Ideas G & T Activities
Students with 504 Plans
● Differentiation for All Students (Special Needs, ESL, Gifted Learners, & Mainstream Learners)
● Subgroup Accommodations and Modifications
Core Instructional and Supplemental Materials Professional Resources:
Core Instructional, Supplemental, Instructional, and Intervention Resources
Core Professional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Kindergarten Math in Focus Manipulatives ● Big Books KA/KB ● Student Book KA/KB ● Extra Practice KA/KB ● Enrichment KA/KB ● Assessments K
Supplemental Professional Resources:
● Math in Focus Curriculum ● Denis Sheeran Training Resources ● http://www.corestandards.org/Math/Practice/ ● http://www.madisonpublicschools.org/page/231
Core Instructional Resources:
● Math in Focus Teacher’s Edition, Kindergarten ● Big Books KA/KB ● Student Book KA/KB ● Kindergarten Math in Focus Manipulatives ● Assessments K
Supplemental Resources:
● Extra Practice KA/KB ● Enrichment KA/KB ● Math Centers ● 3 Act Lessons ● Robert Kaplinsky Lessons ● Open Middle - Kinder: Geometry ● Which One Doesn’t Belong? ● Solve Me Puzzles ● Estimation 180
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● Same or Different ● Visual Patterns ● Esti-Mysteries ● 51 Esti-Mysteries ● Splat Math
Intervention Resources:
● Extra Practice KA/KB ● Enrichment KA/KB ● iReady ● Linkit! ● IXL ● Big Ideas ● Classroom Manipulatives ● Online Manipulatives ● Content from previous grade levels ● Touch Math
Interdisciplinary Connections Integration of Technology through NJSLS
● Correlates to the Goods & Services and Black History units in Social Studies.
8.1 Educational Technology 8.1.2.C.1 Engage in a variety of developmentally appropriate learning activities with students in other classes, schools, or countries using various media formats such as online collaborative tools, and social media. 8.1.2.F.1 Use geographic mapping tools to plan and solve problems. 8.2 Technology Education, Engineering, Design, and Computational Thinking - Programming 8.2.2.A.4 Choose a product to make and plan the tools and materials needed. 8.2.2.B.1 Demonstrate how reusing a product affects the local and global environment. 8.2.2.C.1 Brainstorm ideas on how to solve a problem or design a product. 8.2.2.D.1 Collaborate and apply a design process to solve a simple problem from everyday experiences. 8.2.2.D.5 Identify how using a tool aids in reducing work. 8.2.2.E.1 List and demonstrate the steps to an everyday task.
● Listen to books on CDs, tapes, videos or podcasts if available. ● Listen to books on websites (pbskids.org/lions/index.html, storylineonline.net,
storyit.com, Elementary Connections Page) ● Use document camera or overhead projector for shared reading of texts. ● Use virtual manipulatives ● Use Think Central ● Use IXL.com
Integration of 21st Century Themes Media Literacy Integration
Adopte March 2020
Table of Contents
Learning and Innovation Skills: Critical Thinking & Problem Solving
● Reason Effectively ● Use Systems Thinking ● Making Judgements and Decisions ● Solve Problems
Communication and Collaboration ● Communicate Clearly
Life and Career Skills Initiative and Self Direction
● Manage Goals and Time ● Work Independently ● Be Self-directed Learners
● Have students practice skills using IXL ● Students create problems on the tablets and share them with classmates ● Kahn Academy ● Brain Pop
Career Education Global Perspectives
9.1 Personal Finance Literacy 9.1.4.B.3 Explain what a budget is and why it is important. 9.1.4.D.1 Determine various ways to save. 9.2 Career Awareness, Exploration, and Preparation 9.2.4.A.1 Identify reasons why people work, different types of work, and how work can help a person achieve personal and professional goals. 9.2.4.A.4 Explain why knowledge and skills acquired in the elementary grades lay the foundation for future academic and career success.
● Black History Month ● Kindness Month
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