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Common Core: Math
Topic: Common Core Learning Standards
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 In this first module of Grade 2, students make significant progress towards fluency with sums and differences within 20 (2.OA.2). Fluency, coupled with a fundamental grasp of place value, rests on...

 Now that students have practiced their kindergarten and Grade 1 skills, they are ready to become more ﬂuent with addition problems, such as 8 + 7 and 5 + 9, where they must cross the ten. In Lesson 3...

 Topic A begins with students exploring concepts about the ruler. In Lesson 1, they relate length to physical units, by measuring various objects with multiple centimeter cubes. Students create a...

 In Topic B, Lesson 4, students begin using centimeter rulers, meter sticks, and meter tapes to measure various objects. Through the practice of measuring various items and learning mental benchmarks...

 In Topic C, students use different length units to measure and compare lengths. In Lesson 6, they practice applying their knowledge of centimeters and meters to choose an appropriate measurement tool...

 In Topic D, students relate addition and subtraction to length. They apply their conceptual understanding to choose appropriate tools and strategies (e.g., the ruler as a number line, benchmarks for...

 When students gather on the carpet in a circle, the teacher pours out a box of 1000 straws. “How can we count these easily?” The students are led to suggest that bundles of 10 would make it much...

 In Topic B, students practice counting by ones and skipcounting by tens and hundreds. They start off with simple counting by ones and tens from 90 to 124 and 124 to 220. They then count by ones,...

 In Topic C, the teaching sequence opens with students counting on the place value chart by ones from 0 to 124, bundling larger units as possible (2.NBT.1a). Next, they represent various counts in...

 Further building their place value understanding, students count by $1 bills up to $124, repeating the process done in Lesson 6 with bundles. Using bills, however, presents a new option. A set of 10...

 In Topic E, students transition to the more abstract number disks that will be used through Grade 5 when modeling very large and very small numbers. The foundation has been carefully laid for this...

 Number disks make comparison of numbers very easy. More than and less than lead to the addition and subtraction in the next module. In Lesson 16, students compare using the symbols <, >, and =...

 The module closes with questions such as, “What number is 10 less than 402?” and “What number is 100 more than 98?” As students have been counting up and down throughout the module, these three...

 In Topic A, students build upon their understanding of the base ten system and their prior knowledge of place value strategies presented in Module 3. In Lesson 1, students relate 10 more and 10 less...

 In Topic B, students apply their understanding of place value strategies to the addition algorithm, moving from horizontal to vertical notation. Their understanding of vertical addition starts with...

 Topic C parallels Topic B, as students apply their understanding of place value strategies to the subtraction algorithm, moving from concrete to pictorial to abstract. It is important to note that...

 In Lesson 17 of Topic D, students extend the base ten understanding developed in Topic A to numbers within 200. Having worked with manipulatives to compose 10 ones as 1 ten, students relate this to...

 Topic E begins with an extension of mental math strategies learned in first grade, when students learned to subtract from the ten by using number bonds. In Lesson 23, they return to this strategy to...

 In Topic A, students practice the simplifying strategies they learned in Module 4, but with numbers up to 1,000. They will be asked to consider which strategy is most efficient for each problem they...

 Topic B in Module 5 is analogous to Topic B in Module 4, but while in Module 4 students composed ones and tens within 200, Module 5 expands upon this, finding students composing tens and hundreds...

 Topic C builds upon Module 4’s groundwork, now decomposing tens and hundreds within 1,000 (2.NBT.7). In Lesson 13, students model decompositions with number disks on their place value charts while...

 Links to: G3–M2 Place Value and Problem Solving with Units of Measure Topic D focuses on the application of the tools and concepts presented in Topics A through C. Students synthesize their...

 Topic A begins at the concrete level as students use objects to create equal groups, providing a foundation for the construction of arrays in Topic B. In Lesson 1, for example, students are given 12...

 Topic C naturally follows Topic B, where students composed and manipulated the rows and columns of an array. This topic is designed to deepen students’ understanding of spatial structuring as they...