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Major Content Supporting Content Additional Content
Curriculum and Instruction – Office of Mathematics Quarter 1 Grade 2
Introduction
In 2014, the Shelby County Schools Board of Education adopted a set of ambitious, yet attainable goals for school and student performance. The District is committed to these goals, as further described in our strategic plan, Destination2025. By 2025,1. 80% of our students will graduate from high school college or career ready2. 90% of students will graduate on time3. 100% of our students who graduate college or career ready will enroll in a post-secondary opportunity
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In order to achieve these ambitious goals, we must collectively work to provide our students with high quality, college and career ready aligned instruction. The Tennessee State Standards provide a common set of expectations for what students will know and be able to do at the end of a grade. College and career readiness is rooted in the knowledge and skills students need to succeed in post-secondary study or careers. The TN State Standards represent three fundamental shifts in mathematics instruction: focus, coherence and rigor.
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Focus
The Standards call for a greater focus in mathematics. Rather than racing to cover topics in a mile-wide, inch-deep curriculum, the Standards require us to significantly narrow and deepen the way time and energy is spent in the math classroom. We focus deeply on the major work of each grade so that students can gain strong foundations: solid conceptual understanding, a high degree of procedural skill and fluency, and the ability to apply the math they know to solve problems inside and outside the math classroom. For grades K–8, each grade's time spent in instruction must meet or exceed the following percentages for the major work of the grade. 85% or more time spent in instruction in each grade Kindergarten, 1, and 2 align exclusively to the major work of the grade. 75% or more time spent in instruction in each grade 3, 4, and 5 align exclusively to the major work of the grade. Supporting Content - informaiont that supports the understanding and implementation of the major work of the grade.Additional Content - content that does not explicitly connect to the major work of the grade yet it is required for proficiency.
Coherence
Thinking across grades:The Standards are designed around coherent progressions from grade to grade. Learning is carefully connected across grades so that students can build new understanding on to foundations built in previous years. Each standard is not a new event, but an extension of previous learning. Linking to major topics:Instead of allowing additional or supporting topics to detract from the focus of the grade, these concepts serve the grade level focus. For example, instead of data displays as an end in themselves, they are an opportunity to do grade-level word problems.
Rigor
Conceptual understanding: The Standards call for conceptual understanding of key concepts, such as place value and ratios. Students must be able to access concepts from a number of perspectives so that they are able to see math as more than a set of mnemonics or discrete procedures. Procedural skill and fluency: The Standards call for speed and accuracy in calculation. Students are given opportunities to practice core functions such as single-digit multiplication so that they have access to more complex concepts and procedures.Application: The Standards call for students to use math flexibly for applications in problem-solving contexts. In content areas outside of math, particularly science, students are given the opportunity to use math to make meaning of and access content.
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The TN Mathematics StandardsThe Tennessee Mathematics Standards:https://www.tn.gov/education/article/mathematics-standards
Teachers can access the Tennessee State standards, which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level.
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Mathematical Practice StandardsMathematical Practice Standardshttps://drive.google.com/file/d/0B926oAMrdzI4RUpMd1pGdEJTYkE/view
Teachers can access the Mathematical Practice Standards, which are featured throughout this curriculum map. This link contains more a more detailed explanation of each practice along with implications for instructions.
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The Standards for Mathematical Practice describe varieties of expertise, habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students. These practices rest on important National Council of Teachers of Mathematics (NCTM) “processes and proficiencies” with
longstanding importance in mathematics education. Throughout the year, students should continue to develop proficiency with the eight Standards for Mathematical Practice.
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that, ultimately our students, can reach Destination 2025.
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Mathematical Practices
1. Make sense of problems and persevere in solving them
2. Reason abstractly and quatitatively
3. Construct viable arguments and
crituqe the reasoning of
others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of
structure
8. Look for and express regularity
in repeated reasoning
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To reach our collective student achievement goals, we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts.
Throughout this curriculum map, you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom. In addition to the resources embedded in the map, there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access:
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Purpose of Mathematics Curriculum Maps
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The Shelby County Schools curriculum maps are intended to guide planning, pacing, and sequencing, reinforcing the major work of the grade/subject. Curriculum maps are NOT meant to replace teacher preparation or judgment; however, it does serve as a resource for good first teaching and making instructional decisions based on best practices, and student learning needs and progress. Teachers should consistently use student data differentiate and scaffold instruction to meet the needs of students. The curriculum maps should be referenced each week as you plan your daily lessons, as well as daily when instructional support and resources are needed to adjust instruction based on the needs of your students. Additional Instructional Support
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The curriculum maps continue to provide references to enVision lessons that support covered standards. Since this resource was developed for previous TN State Standards, it was necessary to evaluate and provide additional resources to support teachers and students. The 2016-17 Curriculum Maps include the addition of the open resource curriculum that can be found at engageny.org. The curriculum and resources developed by Great Minds for engage ny have consistently been rated as “exemplifying quality” by districts and organizations across the country, meaning they are highly aligned to college and career standards and instructional shifts.
How to Use the MapsTennessee State Standards
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TN State Standards are located in the left column. Each content standard is identified as the following: Major Work, Supporting Content or Additional Content.; a key can be found at the bottom of the map. The major work of the grade should comprise 65-85% of your instructional time. Supporting Content are standards the supports student’s learning of the major work. Therefore, you will see supporting and additional standards taught in conjunction with major work It is the teachers' responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard.
Content
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Weekly and daily objectives/learning targets should be included in your plans. These can be found under the column titled content. The enduring understandings will help clarify the “big picture” of the standard. The essential questions break that picture down into smaller questions and the learning targets/objectives provide specific outcomes for that standard(s). Best practices tell us that making objectives measureable increases student mastery.
Instructional Support and ResourcesDistrict and web-based resources have been provided in the Instructional Support and Resources column. The additional resources provided are supplementary and should be used as needed for content support and differentiation.In order to aid your planning, we have included a list of fluency activities for each lesson. It is
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expected that fluency practice will be a part of your daily instruction. (Note: Fluency practice is NOT intended to be speed drills, but rather an intentional sequence to support student automaticity. Conceptual understanding MUST underpin the work of fluency.
Grade 2 Quarter 1 Overview
Module 1: Sums and Differences to 100Module 2: Addition and Subtraction of Length Units
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Module 3: Place Value, Counting, and Compaison of Numbers to 1,000
Overview Module 1: Module 1 sets the foundation for students to master sums and differences to 20 (2.OA.2). Students subsequently apply these skills to fluently add one-digit to two-digit numbers at least through 100 using place value understanding, properties of operations, and the relationship between addition and subtraction ( 2.NBT.5). In
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Grade 1, students worked extensively with numbers to gain fluency with sums and differences within 10 (1.OA.5) and became proficient in counting on (a Level 2 strategy). They also began to make easier problems to add and subtract within 20 and 100 by making ten and taking from ten (Level 3 strategies) ( 1.OA.6, 1.NBT.4–
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6).1
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In Module 1, students advance from Grade 1’s subtraction of a multiple of ten to a new complexity, subtracting single-digit numbers from both multiples of ten (e.g., 40 – 9) and from any two-digit number within 100 (e.g., 41 – 9).
1See the Progression Documents “K, Counting and Cardinality” and “K-5, Operations and Algebraic Thinking” pp. 36 and 39, respectively. Shelby County Schools 2016/2017Revised 6/6/16
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40 – 9 = 31 / \30 10
10 – 9 = 130 + 1 = 31
41 – 9 = 32 / \31 10
10 – 9 = 131 + 1 = 32
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Topic A’s two lessons are devoted solely to the important practice of fluency, the first lesson working within 20 and the second extending the same fluencies to numbers within 100. Topic A reactivates students’ Kindergarten and Grade 1 learning as they energetically practice the following prerequisite skills for Level 3 decomposition and composition methods: 1. decompositions of numbers within ten2 (e.g., 0 + 7, 1 + 6, 2 + 5, and 3 + 4, all equal seven).2. partners to ten3(e.g., 10 and 0, 9 and 1, 8 and 2, 7 and 3, 6 and 4, 5 and 5, and “I know 8 needs 2 to make ten”).3. tens plus sums4 (e.g., 10 + 9, 10 + 8).
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For example, students quickly remember make ten facts. They then immediately use those facts to solve problems with larger numbers (e.g., “I know 8 needs 2 to make 10, so 58 needs 2 to make 6 tens or sixty!”). Lessons 1 and 2 include Sprints that bring back automaticity with the tens plus sums, which are foundational for adding within 100 and expanded form (e.g., “I know 10 + 8 = 18, so 40 + 8 = 48”).
Topic B takes Grade 1’s work to a new level of fluency as students make easier problems to add and subtract within 100 by using the number system’s base ten structure. The topic begins with students using place value understanding to solve problems by adding and subtracting like units (e.g., “I know 8 – 5 = 3, so 87 – 50 = 37 because 8 tens – 5 tens = 3 tens. I know 78 – 5, too, because 8 ones – 5 ones = 3 ones. I used the same easier problem, 8 – 5 = 3, just with ones instead of tens!”). Students then practice making ten within 20 before generalizing that strategy to numbers within 100 (e.g., “I know 9 + 6 = 15, so 79 + 6 = 85, and 89 + 6 =
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95”).
The preceding lessons segue beautifully into the new concepts of Topic B, subtracting single-digit numbers from two-digit numbers greater than 20. In Lesson 6, students use the familiar take from ten strategy to subtract single-digit numbers from multiples of ten (e.g., 60 – 8, as shown below). In Lesson 7, students practice taking from ten within 20 when there is the complexity of some ones in the total (e.g., 13 – 8, as shown below). In Lesson 8, they then subtract single-digit numbers from 2-digit numbers within 100 when there are also some ones (e.g., 63 – 8, as shown below).
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Lesson 7 Lesson 8Lesson 6
13 – 8 = 5 / \3 10
10 – 8 = 2 3 + 2 = 5
60 – 8 = 52 / \50 10
10 – 8 = 250 + 2 = 52
63 – 8 = 55 /\53 10
10 – 8 = 2 53 + 2 = 55
Decompose and Subtract From Ten
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These strategies deepen place value understandings in preparation for Module 3 and the application of those understandings to addition and subtraction in Modules 4 and 5. Listen to how the language of make ten and take from ten is foundational to the work of later modules:
Module 3: “I have 10 tens, so I can make a hundred. It’s just like I can make a ten when I have 10 ones.” Module 5: “When I solve 263 – 48, I take a ten from 6 tens to make 5 tens and 13 ones. Now, I am ready to subtract in the ones place” (pictured to the right).
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Note that mastery of sums and differences within 100 is not to be expected in Module 1 but rather by Module 8. Because the amount of practice required by each student to achieve mastery prior to Grade 3 will vary, a motivating, differentiated fluency program needs to be established in these first 2 weeks to set the tone for the year.
In Grade 2 Module 1, Application Problems begin in Topic B. They contextualize learning as students apply strategies to solving simple add to, take from, put together/take apart problem types using the Read-Draw-Write, or RDW, process (2.OA.1). Application Problems may precede the Concept Development to act as the lead-in, allowing students to discover through problem-solving the logic and usefulness of a strategy before it is formally presented. Or, problems may follow the Concept Development so that students connect and apply new learning to real-world situations. At the beginning of Grade 2, problem-solving may begin more as a
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guided activity, with the goal being to move students to independent problem-solving, wherein they reason through the relationships embedded within the problem and choose an appropriate strategy to solve (MP.5).
Module 2: In this 12-day Grade 2 module, students engage in activities designed to deepen their conceptual understanding of measurement and to relate addition and subtraction to length. Their work in Module 2 is exclusively with metric units in order to support place value concepts. Customary units are introduced in Module 7.
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Topic A opens with students exploring concepts related to the centimeter ruler. In the first lesson, they are guided to connect measurement with physical units as they find the total number of length units by laying multiple copies of centimeter cubes (physical units) end to end along various objects. Through this, students discover that to get an accurate measurement, there must be no gaps or overlaps between consecutive length units.
Next, students measure by iterating with one physical unit, using the mark and advance technique, also known as mark and move forward. Students then repeat the process by laying both multiple copies and a single cube along a centimeter ruler. This helps students create a mental benchmark for the centimeter. It also helps them realize that the distance between 0 and 1 on the ruler indicates the amount of space already covered. Hence 0, not 1, marks the beginning of the
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total length. Students use this understanding to create their own centimeter rulers using a centimeter cube and the mark and advance technique. Topic A ends with students using their unit rulers to measure lengths (2.MD.1), thereby connecting measurement with a ruler.
Students build skill in measuring using centimeter rulers and meter sticks in Topic B. They learn to see that a length unit is not a cube, or a portion of a ruler (which has width), but is a segment of a line. By measuring a variety of objects, students build a bank of known measurements or benchmark lengths, such as a doorknob being a meter from the floor, or the width of a finger being a centimeter. Then, students learn to estimate length using knowledge of previously measured objects and
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benchmarks. This enables students to internalize the mental rulers5 of a centimeter or meter, empowering them to mentally iterate units relevant to measuring a given length (2.MD.3). The knowledge and experience signal that students are determining which tool is appropriate to make certain measurements (2.MD.1).
In Topic C, students measure and compare to determine how much longer one object is than another (2.MD.4). They also measure objects twice using different length units, both standard and non-standard, thereby developing their understanding of how the total measurement relates to the size of the length unit ( 2.MD.2). Repeated experience and explicit comparisons help students recognize that the smaller the length unit, the larger the number of units, and the larger the length unit, the smaller the number of units.
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The module culminates as students relate addition and subtraction to length. They apply their conceptual understanding to choose appropriate tools and strategies, such as the ruler as a number line, benchmarks for estimation, and tape diagrams for comparison, to solve word problems (2.MD.5, 2.MD.6). The problems progress from concrete (i.e., measuring objects and using the ruler as a number line to add and subtract) to abstract (e.g., representing lengths with tape diagrams to solve start unknown and two-step problems).
Module 3: In Module 2, students added and subtracted measurement units within 100 (2.MD.5, 2.MD.6), a meaningful application of their work from Module 1 (2.NBT.5) and a powerful bridge to the base ten units of Grade 2.
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In this 25-day Grade 2 module, students expand their skill with and understanding of units by bundling ones, tens, and hundreds up to a thousand with straws. Unlike the length of 10 centimeters in Module 2, these bundles are discrete sets. One unit can be grabbed and counted just like a banana―1 hundred, 2 hundred, 3 hundred, etc. (2.NBT.1). A number in Grade 1 generally consisted of two different units, tens and ones. Now, in Grade 2, a number generally consists of three units: hundreds, tens, and ones (2.NBT.1). The bundled units are organized by separating them largest to smallest, ordered from left to right. Over the course of the module, instruction moves from physical bundles that show the proportionality of the units to non-proportional place value disks and to numerals on the place value chart (2.NBT.3).
Furthermore, in this module instruction includes a great deal of counting: by ones, tens, and hundreds (2.NBT.2). Counting up using the centimeter tape or a
5 See the Progression Document “Geometric Measurement,” page 14. Shelby County Schools 2016/2017Revised 6/6/16
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classroom number line shows movement from left to right as the numbers increase. Counting up on the place value chart shows movement from right to left as the numbers increase. For example, as 10 ones are renamed as 1 ten, the larger unit is housed in the place directly to the left. The goal is for students to move back and forth fluidly between these two models, the number line and the place value chart, using them to either to rename units and compare numbers (2.NBT.4).
In this module, the place value story has advanced. Along with changing 10 ones for 1 ten, students now also change 10 tens for 1 hundred. This changing leads to the use of counting strategies to solve word problems (2.OA.1). In the next module, this change leads to mental math and the formal algorithms for addition and subtraction. Comparison extends into finding 100 more and 100 less, 10 more and 10 less, etc. Just as in Grade 1, more and less translate into formal addition and subtraction at the onset of Module 4 (2.NBT.8).
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How is this module’s learning foundational to later grades? Understanding 3 tens or 3 units of 10 leads to an understanding of 3 fours or 3 units or groups of four (Grade 3 OA standards), 3 fourths or 3 units of one-fourth (Grade 3 NF standards). Learning that 12 tens = 120 leads to an understanding of 12 tenths = 1.2, 4 thirds = 4/3 = 1 1/3, or even 4 threes = 12. Counting up and down by ones, tens, and hundreds with both the number line and place value chart is essential from Grade 3 forward for rounding and mental math (Grade 3 NBT standards) to meaningful understanding of all operations with base ten whole numbers (Grade 4 NBT standards) and to understanding place value’s extension into decimal fractions and operations (Grade 5 NBT standards).
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Focus Grade Level Standard Type of Rigor Foundational Standards2.OA.A.1 Conceptual Understanding & Application 1.NBT.C.4, 1.NBT.C.5, 1.NBT.C.6, 1.OA.A.12.OA.B.2 Procedural Skill & Fluency 1.OA.C.62.NBT.A.5 Procedural Skill & Fluency 1.NBT.C4, 1.NBT.C.5, 1.NBT.C.6, 2.OA.B.22.MD.A.1 Conceptual Understanding & Application 1.MD.A.22.MD.A.2 Conceptual Understanding & Application 2.MD.A.1, 2.MD.A.32.MD.A.3 Conceptual Understanding 2.MD.A.1
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2.MD.A.4 Application 2.MD.A.32.MD.B.5 Conceptual Understanding & Application 2.MD.A.42.MD.B.6 Conceptual Understanding Introductory Skill2.NBT.A.1 Conceptual Understanding 1.NBT.B.2, 2.NBT.A.22.NBT.A.2 Procedural Skill & Fluency Introductory Skill2.NBT.A.3 Procedural Skill & Fluency 2.NBT.A.12.NBT.A.4 Conceptual Understanding 2.NBT.A.1
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Fluency NCTM Position
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Procedural fluency is a critical component of mathematical proficiency. Procedural fluency is the ability to apply procedures accurately, efficiently, and flexibly; to transfer procedures to different problems and contexts; to build or modify procedures from other procedures; and to recognize when one strategy or procedure is more appropriate to apply than another. To develop procedural fluency, students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures. Students need opportunities to justify both informal strategies and commonly used procedures mathematically, to support and justify their choices of appropriate procedures, and to strengthen their understanding and skill through distributed practice.
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Fluency is designed to promote automaticity by engaging students in daily practice. Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems. The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways. Therefore, it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps. Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency.
The fluency standard for 2nd grade listed below should be incorporated throughout your instruction over the course of the school year. The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding.
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2.OA.B.2 Fluently add and subtract within 20 using mental strategies. 2.NBT.B.5 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
Note: Fluency is only one of the three required aspects of rigor. Each of these components have equal importance in a mathematics curriculum.
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1. https://www.engageny.org/ 2. http://www.corestandards.org/ 3. http://www.nctm.org/ 4. http://achievethecore.org/
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES
Sums and Differences to 100 (Allow 2 ½ weeks for instruction, review and assessment)
Domain: Operations and Algebraic ThinkingCluster 2.OA.A: Represent and solve problems involving addition and subtraction.
Enduring Understandings Addition and subtraction are related Strategies can by applied to solve
addition/subtraction problems
Additional InformationWe encourage teachers to start the year with grade level content. Please see the overview for more information on what students should
Vocabulary:Make a ten
Familiar Terms and Symbols:Addend, a ten, count on, expression, like
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES 2.OA.A.1 Use addition and subtraction
within 100 to solve one and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Essential Questions How can we write related addition and
subtraction facts? What strategy do you use when you
add/subtract? Why?
be coming in with. Allow the first two days to develop classroom math routines and habits that will contribute to student’s future success in mathematics. Please refer to the Frist Week Lesson Guide for suggestions/example of Number Talks, Quick Writes, Accountable Talk Moves/Stems, and Mathematical Discussions/Math Messages, which are
units, make ten and take from ten, number sentence, number bond, one part, partners to 10, say ten counting, ten plus facts, total
Fluency Practice:Please see engageny full module download for suggested fluency pacing and activities.
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES
Cluster 2.OA.B: Add and subtract within 20
2.OA.B.2 Fluently add and subtract within 20 using mental strategies.
Domain: Numbers Base Ten
Objectives/Learning Targets Lesson 1: I can practice making ten and
adding to ten. (2.OA.B.2) Lesson 2: I can practice making the next
ten and adding to a multiple of ten. (2.OA.B.2)
designed to allow students to develop expertise with the eight Mathematical Practices early in the school year.
Engageny Module1: Sums and Differences to 100Topic A: Foundations for Fluency with
Lesson 1: Ten Frame Flash Happy Counting the Say Ten Way Sprint: Add a Ten and Some Ones Target Practice: Within 10 Pairs to Ten with Number Bonds
Lesson 2: The Value of Tens and Ones
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESCluster: Use place value understanding and properties of operations to add and subtract.
2.NBT.B.5 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
Sums and Differences within 100Lesson 1Lesson 2
Happy Counting the Say Ten Way Sprint: Add a Ten and Some Ones Target Practice: Within 10 Make the Next Ten
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Objectives/Learning Targets Lesson 3: I can add and subtract like
units (2. OA. A.1, 2.OA.B.2) Lesson 4: I can make a ten to add within
20. (2. OA. A.1, 2.OA.B.2, 2.NBT. 5) Lesson 5: I can make a ten to add within
100. (2. OA. A.1, 2.OA.B.2, 2.NBT. 5)
Topic B: Initiating Fluency with Addition and Subtraction Within 100Lesson 3Lesson 4Lesson 5Lesson 6
Lesson 3: Sprint: Related Facts
Lesson 4: Draw Tens and Ones Make Ten Make the Next Ten within 100 Take Out One
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES Lesson 6: I can subtract single-digit
numbers from multiples of 10 within 100. (2. OA. A.1, 2.OA.B.2, 2.NBT. 5)
Lesson 7: I can take from ten within 20. (2. OA. A.1, 2.OA.B.2, 2.NBT. 5)
Lesson 8: I can take from ten within 100. (2. OA. A.1, 2.OA.B.2, 2.NBT. 5)
Lesson 7Lesson 8
End of Module Assessment
Lesson 5: Happy Counting: Say Ten Way Put Together/Take Apart Make the Next Ten Within 100
Lesson 6: One or Two Less
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For supporting resources see the following enVision lessons:2-1 Adding 0,1,22-6 Making 10 to add 92-7 Making 10 to add 83-1 Subtracting 0,1,2
Take from Ten Take Out Ten
Lesson 7: Take Out Ten and Subtract
Lesson 8: Take from a Ten or Take from the
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3-3 Thinking Addition to 10 to Subtract ones Take Out Ten and Subtract
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Tasks:Addie's EquationBuilding Towards Fluency
Additional Resources:
Literature Connections
Envision Interactive Math Story p. 33 GThe Great Divide, Dayle Ann DoddsDouble the Ducks, Stuart MurphyJack the Builder, Stuart MurphyElevator Magic, Stuart MurphyShark Swimathon, Stuart Murphy
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Learn Zillion ResourcesAdd and Subtract Within 100 to Solve Word Problems (2.OA.A.1)Solve Addition and Subtraction Word Problems by Drawing Models (2.OA.A.1)Use Mental Strategies to Add and Subtract Within 20 (2.OA.B.2)
Monster Musical Chairs, Stuart MurphyAnimals on Board, Stuart MurphyMom and Dad are Palindromes, Mark ShulmanPanda Math, Ann NagdaDomino Addition, Lynette LongSplash, Ann JonasReady, Set, Hop, Stuart J. Murphy
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Add and Subtract Within 20 (2.OA.B.2)Add and Subtract Within 100 Using Place Value Strategies, Hundreds Charts and Properties of Operation (2.NBT.B.5)
I-Ready Lessons:
Cats Add Up! , Dianne Ochiltree
Other:Use this guide as you prepare to teach a module for additional guidance in planning, pacing, and suggestions for
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Subtraction in Comparison Situations Subtraction in Part-Part-Whole
Situations Addition and Subtraction Fact Families Review Addition and Subtraction Fact
Families
omissions.Pacing and Preparation Guide (Omissions)
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Relating Addition and Subtraction Facts
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Addition and Subtraction of Lengths Units (Allow 2 weeks for instruction, review and assessment)
Domain: Measurement and DataCluster 2.MD.A: Measure the length of an
object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks and measuring tapes.
Enduring Understandings Attributes are measureable. The lengths of objects are measurable in
different units.
Engage ny Module 2: Addition and Subtraction of Lengths UnitsTopic A: Understand Concepts About the
VocabularyBenchmark, endpoint, estimate, hash mark, meter, meter stick or strip, number line, overlap, ruler
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2.MD.A.1 Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.
2.MD.A.2 Measure the length of an object twice using length units of different lengths for the two measurements; describe how
Measurements need the same unit of measure in order to be compared.
Essential Questions How can you tell which attributes of an
object can be measured?
RulerLesson 1Lesson 2Lesson 3
For supporting resources see the following
Familiar Terms and Symbols:Centimeter, combine, compare, difference, height, length, length unit
Fluency Practice:Please see engageny full module download for suggested fluency pacing and activities.
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESthe two measurements relate to the size of the unit chosen
2.MD.A.3 Estimate lengths using units of inches, feet, centimeters, and meters.
2.MD. A.4 Measure to determine how much longer one object is than another,
What objects can be used to approximate standard units of inches, feet, yards, centimeters and meters?
How can you compare measurements?
Objectives/Learning Targets
enVision lessons:13-3 Measuring Length Using Nonstandard Units13-4a Inches
Lesson 1: Happy Counting 20-40 Two More Sprint: Before, Between, After
Lesson 2: Say Ten Counting Say Ten Counting to the Next Ten Make Ten to Add
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESexpressing the length difference in terms of a standard length unit.
Cluster 2.MD.D: Relate addition and subtraction to length
2.MD.D.5 Use addition and subtraction within 100 to solve word problems
Lesson 1: I can connect measurement with physical units by using multiple copies of the same physical unit to measure. (2.MD.A.1)
Lesson 2: I can use iteration with one physical unit to measure. (2.MD.A.1)
Lesson 3: I can apply concepts to create unit rulers and measure lengths using unit
Lesson 3: Happy Counting 40-60 Making 10 by Identifying the
Missing Part Sprint: Making 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESinvolving lengths that are given in the same units, e.g., by using drawings (such as drawings of rules) and equations with a symbol for the unknown number to represent the problem.
2.MD.D.6 Represent whole numbers as lengths from 0 on a number line diagram
rulers. (2.MD.A.1)
Objectives/Learning Targets Lesson 4: I can measure various objects
using centimeter rulers and meter sticks. (2.MD.A.1, 2.MD.A.3)
Topic B: Measure and Estimate Length Using Different Measurement Tools Lesson 4
Fluency Practice:Lesson 4: Related Facts on a Ruler Sprint: Related Facts
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESwith equally spaced points corresponding to the numbers 0,1,2,…, and represent whole-number sums and differences within 100 on a number line diagram
Lesson 5: I can develop estimation strategies by applying prior knowledge of length and using mental benchmarks. (2.MD.A.1, 2.MD.A.3)
Lesson 5
For supporting resources see the followingenVision lessons:13-5 Centimeters and Meters13-5a Centimeters
Lesson 5: Break Apart by Tens and Ones Take Out a Part
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Objectives/Learning Targets Lesson 6: I can measure and compare
lengths using centimeters and meters. (2.MD.A.1, 2.MD.A.2, 2.MD.A.4)
Topic C: Measure and Compare Lengths Using Different Length UnitsLesson 6Omit Lesson 7
Fluency Practice:Lesson 6: Happy Counting Sprint: Find the Longer Length
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For supporting resources see the followingenVision lessons:13-6C Comparing Lengths
Objectives/Learning Targets Lesson 8: I can solve addition and
subtraction word problems using the ruler
Topic D: Relate Addition and Subtraction to LengthLesson 8
Fluency Practice:Lesson 8: How Many More to Make a Meter? Sprint: Making a Meter
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as a number line. (2.MD.B.5, 2.MD.B.6) Lesson 9: I can measure lengths of
string using measurement tools, and use tape diagrams to represent and compare the lengths. (2.MD.B.5, 2.MD.B.6)
Lesson 10: I can apply conceptual understanding of measurement by solving
Lesson 9Lesson 10
End of Module Assessment
For supporting resources see the following
Lesson 9: Adding Multiples of 10 to Numbers Happy Counting by Centimeters
Lesson 10: Subtracting Multiples of 10 from Numbers
Take From Ten
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two-step word problems. (2.MD.B.5, 2.MD.B.6)
enVision lessons:13-6B Adding and Subtracting Measurement
Relate Subtraction to Addition Sprint: Relate Subtraction to
Addition
Tasks:Determining LengthHow Big is A Foot
Literature ConnectionsIf you Hopped Like a Frog, David SchwartzSuper Sand Castle Saturday, Stuart MurphyMeasuring Penny, Loreen Leedy
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Frog and Toad on the Number Line
Additional Resources:LearnZillion: Exploring Standard Units of Length
Hershey’s Weights and Measures, Jerry PallottaInchworm and a Half, Elinor PinczesInch by Inch, Leo LionniPigs in the Pantry Fun with Math and Cooking, Amy AxelrodActual Size, Steve Jenkins
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LearnZillion: Relating Addition and Subtraction Strategies to Length
I-Ready Lessons: Using a Ruler: Inches Using a Ruler: Centimeters
Other:Use this guide as you prepare to teach a module for additional guidance in planning, pacing, and suggestions for omissions.
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Measuring Lengths with a Ruler Understand Measurement with
Different Units Compare lengths Solve Problems Involving Length
Pacing and Preparation Guide (Omissions)
Place Value, Counting, and Comparison of Numbers to 1,000
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES(Allow 4 1/2 week for instruction, review and assessment)
Domain: Numbers and Operations Base TenCluster 2.NBT.A: Understand place value.
2.NBT.A.1 Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones.
Enduring Understandings The placement of any number written in
standard form has a meaning. Numbers can be compared using greater
than, less than, and equal to. Our number system is based on groups
Engageny Module 3: Place Value, Counting, and Comparison of Numbers to 1,000 Topic A: Forming Base Ten Units of Ten, a Hundred, and a Thousand Lesson 1
VocabularyBase ten numerals, expanded form, hundreds place, one thousand, place value or number disk, standard form, unit form, word form
Familiar Terms and Symbols=, <,>, altogether, bundling, grouping, how
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESUnderstand the special cases.
2.NBT.A.2 Count within 1000; skip count by 5s, 10s, and 100s.
2.NBT.A.3 Read and write numbers to 1000 using base ten numerals, number
of tens.
Essential Questions How do you know the value of a number? How can you find the number that is one
before or one after another number, or
Topic B: Understanding Place Value Units of One, Ten and a Hundred Lesson 2 Lesson 3
many more/less, how much more/less, more than, less than, number sentence, ones place, place value, renaming, changing, tens place, units of ones, hundreds, one thousand
Fluency Practice:Please see engageny full module download for suggested fluency pacing and activities.
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2.NBT.A.4 Compare two three-digit numbers based on meanings of the hundred, tens, and ones digits, using symbols to record the results of comparisons.
the number between two other numbers? How can you find the number that is
ten/100 before or below another number? How does understanding place value help
you compare three digit numbers?
For supporting resources see the followingenVision lessons:4-1 Models for Tens4-2 Models for Tens and Ones17-6a Skip Counting by 5, 10, 100 to 1,000
Lesson 1: Meter Strip Subtraction Skip Count Up and Down by Fives Happy Counting Skip-count by Tens
Lesson 2: Meter Strip Subtraction Measure and Compare
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Objectives/Learning Targets: Lesson 1: I can bundle and count ones,
tens, and hundreds to 1,000. (2.NBT.A.1) Lesson 2: I can count up and down
between 100 and 220 using ones and tens. (2.NBT.A.2) (Note: Use analog clock to proved a context for skip-
Skip-count Up and Down by Fives on the Clock
Counting with Ones, Tens, and Hundreds
Lesson 3: Sprint: differences to 10 with Teen NumbersMixed Counting with Ones, Tens,
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCEScounting by 5’s)
Lesson 3: I can count up and down between 90 and 1,000 using ones, tens, and hundreds. (2.NBT.A.2) (Note: Use analog clock to proved a context for skip-counting by 5’s)
and Hundreds from 0 to 1000
Objectives/Learning Targets: Topic C: Three-Digit Numbers in Unit, Fluency Practice:
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES Lesson 4: I can count up to 1,000 on the
place value chart. (2.NBT.A.3) Lesson 5: I can write base ten three-digit
number in unit form; show the value of each digit. (2.NBT.A.3)
Lesson 6: I can write base ten numbers in expanded form. (2.NBT.A.3)
Lesson 7: I can write, read, and relate
Standard, Expanded and Word FormsLesson 4Lesson 5Lesson 6Lesson 7
Lesson 4: Sprint: Adding to the Teens Exchange to Get to 50
Lesson 5: Exchange to Get 100 Meter Strip Addition: Using Two-
Digit Numbers with Totals in the
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESbase ten numbers in all forms. (2.NBT.A.3)
For supporting resources see the followingenVision lessons:4-3 Reading and Writing Numbers4-8 Number Patterns on a Hundred Chart17-5 Patterns with Numbers on a Hundreds Chart
Ones Place that are Less Than or Equal
to 12
Lesson 6: Meter Strip Addition: Using Two-Digit Numbers with Totals in the
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Ones that are Greater than 12 Unit Form Counting from 398-405 Think 10 to Add 9Lesson 7: Write Numbers in Expanded Form Sprint: Expanded Form Skip-Count up and down $10
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Between 45-125
Objectives/Learning Targets: Lesson 8: I can count the total value of
$1, $10, and $100 bills up to $1,000. (2.NBT.A.2)
Lesson 9: I can count from $10 to $1,000 on the place value chart and the empty
Topic D: Modeling Base Ten Numbers Within 1,000 with MoneyLesson 8Lesson 9Lesson 10
Fluency Practice:Lesson 8: Mixed Counting with Ones, Tens,
and Hundreds
Lesson 9: Count and Change Coins
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESnumber line. (2.NBT.A.2)
Lesson 10: I can explore $1,000. How many $10 bills can we change for a thousand dollar bill? .(2.NBT.A.2)
Mid Module Assessment
For supporting resources see the followingenVision lessons:4-8 Number Patterns on a Hundred Chart
Mixed Counting with Ones, Tens and Hundreds
Skip-count by twos beginning at 394
Lesson 10: Count and Change Coins
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17-5 Patterns with Numbers on a Hundred Chart
Sprint: More Expanded Form Skip-count by Tens
Objectives/Learning Targets: Lesson 11: I can count the total value of
ones, tens, and hundreds with place value disks. (2.NBT.A. 1, 2.NBT.A.3)
Topic E: Modeling Numbers Within 1,000 with Place Value DisksLesson 11Lesson 12
Fluency Practice:Lesson 11: Rekenrek Counting: Numbers in
Unit Form Sprint: Addition and Subtraction to
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES Lesson 12: I can change 10 ones for 1
ten, 10 tens for 1 hundred, and 10 hundreds for 1 thousand. (2.NBT.A. 1, 2.NBT.A.3)
Lesson 13: I can read and write numbers within 1,000 after modeling with place value disks. (2.NBT.A. 1, 2.NBT.A.3)
Lesson 14: I can model numbers with
Lesson 13Lesson 14Lesson 15
For supporting resources see the followingenVision lessons:
10Lesson 12: 10 More/10 Less Sprint: Sums to 10 with Ten
NumbersLesson 13: Sprint: Sprint-Place Value
Counting to 100
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESmore than 9 ones or 9 tens; write in expanded, unit, standard, and word forms. (2.NBT.A. 1, 2.NBT.A.3)
Lesson 15: I can explore a situation with more than 9 groups of ten. (2.NBT.A. 1, 2.NBT.A.3)
17-2 Counting Hundreds, Tens, and Ones17-3 Reading and Writing Numbers to 1,00017-4 Changing Numbers by Hundreds and Tens
100 More/100 Less How Many Tens/How Many
HundredsLesson 14: Sprint: Review of Subtraction in
the Teens Happy Counting Up and Down by
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Ones Crossing 100Lesson 15: Sprint: Expanded Notation Compare Numbers
Objectives/Learning Targets: Lesson 16: I can compare two three-digit
numbers using <,>, and =. (2.NBT.A.4)
Topic F: Comparing Two Three-Digit NumbersLesson 16
Fluency Practice:Lesson 16: Sprint: Sums Crossing Ten
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES Lesson 17: I can compare two three-digit
numbers using <,>, and = when there are more than 9 ones or 9 tens. (2.NBT.A.4)
Lesson 18: I can order numbers in different form. (2.NBT.A.4)
Lesson 17Lesson 18For supporting resources see the followingenVision lessons:17-6 Comparing Numbers17-7 Before, After, and Between
Lesson 17: Sprint: Sums Crossing Ten (Sums and Differences to 20)
Lesson 18: Sprint: Sums Crossing Ten (Sums and Differences to 20)
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17-8 Ordering Numbers
Objectives/Learning Targets: Lesson 19: I can model and use
language to tell about 1 more and 1 less, 10 more and 10 less, and 100 more and
Topic G: Finding 1,10, and 100 More or Less than a NumberLesson 19Lesson 20
Fluency Practice:Lesson 19: Sprint: Differences
Lesson 20: Sprint: Differences
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES100 less. (2.NBT.A.2)
Lesson 20: I can model 1 more and 1 less, 10 more and 10 less, and 100 more and 100 less when changing the hundreds place. (2.NBT.A.2)
Lesson 21: I can complete a pattern counting up and down. (2.NBT.A.2)
Lesson 21
End of Module Assessment
For supporting resources see the followingenVision lessons:
Lesson 21: Sprint: Differences
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17-4 Changing Numbers by Hundreds and Tens17-9 Problem Solving: Look for a Pattern
Tasks:Boxes and Cartons of PencilsBundling and Unbundling
Literature ConnectionsEnvision Interactive Math Story p. 97 GAnimals on Board, Stuart MurphyThe Great Divide, Dayle Ann Dodds
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Counting StampsThe Largest Number Game
Additional Resources:LearnZillion: Understanding Three Digit Numbers
Double the Ducks, Stuart MurphyJack the Builder, Stuart MurphyElevator Magic, Stuart MurphyShark Swimathon, Stuart MurphyMonster Musical Chairs, Stuart MurphyMom and Dad are Palindromes, Mark ShulmanPanda Math, Ann Nagda
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TN STATE STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCESLearnZillion: Expressing and Comparing Three Digit Numbers Relating Skip Counting to Mental Addition and Subtraction
I-Ready Lessons: Place Value: Hundreds, Tens, Ones
Domino Addition, Lynette LongSplash, Ann JonasReady, Set, Hop, Stuart J. MurphyCats Add Up! , Dianne OchiltreeThe Case of the Missing Birthday, Joanne RocklinThe True Story of the Three Little Pigs, Jon Scieszka
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Place Value to 1,000 Place Value and Writing Numbers in
Standard Form Counting by Tens Counting by 5s Grouping Objects by 2s, 5s to 100
A Place for Zero, Angeline LoPrestiEarth Day – Hooray! , Stuart Murphy
Other:Use this guide as you prepare to teach a module for additional guidance in
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Number Words 0-120 Comparing and Ordering Numbers
1,000
planning, pacing, and suggestions for omissions.Pacing and Preparation Guide (Omissions)
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts. These resources were chosen as an accompaniment to
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modules taught within this quarter. Incorporated materials may assist educators with grouping, enrichment, remediation, and differentiation.NWEA MAP Resources: https://teach.mapnwea.org/assist/help_map/ApplicationHelp.htm#UsingTestResults/MAPReportsFinder.htm - Sign in and Click the Learning Continuum Tab – this resources will help as you plan for intervention, and differentiating small group instruction on the skill you are currently teaching. (Four Ways to Impact Teaching with the Learning Continuum)https://support.nwea.org/khanrit - These Khan Academy lessons are aligned to RIT scores.
Textbook ResourcesEngage NY/Eureka Math Teacher SupportenVision Math
TN /CCSSTNReady Math StandardsAchieve the Core
VideosMaking math fun with place value gamesKids Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction – Office of Mathematics Quarter 1 Grade 2
enVision Common Core Addendum Lessons TN Edutoolbox LearnZillionTN Early Grades Math Toolkit
Children’s LiteratureChildren's Literature on Number SenseChildren's Literature on Addition and SubtractionChildren's Literature on MoneyChildren's Literature on Counting Higher than 10
Interactive ManipulativesBase TenBase Ten BlocksAddition Chart
Additional SitesMath DictionaryInverse relationship of addition and subtractionAddition MachineAlien Addition
Shelby County Schools 2016/2017Revised 6/6/16
92 of 94
Major Content Supporting Content Additional Content
Curriculum and Instruction – Office of Mathematics Quarter 1 Grade 2
Marilyn Burns Math Literature List 2nd Grade Adding DoublesWrite a subtraction sentence based on the pictureAdd three or more one-digit numbersBalance addition equations one-digitPopup Addition GamePopup Subtraction GameRead and Write NumbersIllustrative Mathematics 2nd Grade
Shelby County Schools 2016/2017Revised 6/6/16
93 of 94