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Common Core: Math
Topic: Common Core Learning Standards
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 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 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...

 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 B, students combine shapes to form composite shapes, which in turn get larger as they add yet more shapes. As students work toward the objectives within the topic, they informally explore...

 During Topic C, students build on their concrete work with composite shapes and begin naming equal parts of wholes, specifically halves and fourths (or quarters). Students more closely analyze the...

 Topic D builds on students’ knowledge of parts of circles to tell time. In Lesson 10, students count and color the parts on a partitioned circle, forming the base of a paper clock. Relating this 12...

 Topic D begins with students applying the Module 2 strategies of counting on and making ten to larger numbers, this time making a ten that is built on a structure of other tens. In Lesson 13,...

 As students begin working with larger numbers in word problems, representing each item and drawing it individually can become cumbersome. In previous work with problem types, the two parts have been...

 In Topic F, students begin adding like units within pairs of twodigit numbers. Lesson 23 focuses on taking interpretations of twodigit numbers a step further, having students interpret numbers such...

 In Module 5 students build on their exploration and knowledge of shapes from kindergarten. In Topic A, students identify the defining attributes of individual shapes. In Lesson 1, students use straws...

 Topic B adds a new level of precision to measurement by introducing the idea of a length unit. In Lesson 4, centimeter cubes are laid alongside the length of objects as students learn that the total...

 Topic C gives students a chance to explore the usefulness of measuring with similar units. The topic opens with Lesson 7, where students measure the same objects from Topic B using two different non...

 Topic D closes the module as students organize, represent, and interpret personally relevant data in Lesson 10 (1.MD.4). As students work as a class to collect, sort, and organize data into a graph,...

 Module 4 builds on students’ work with teen numbers to now work within 40. Working within 40 helps students focus on the units, tens and ones, which can be easily modeled pictorially and concretely...

 Topic B begins with Lesson 7, where students identify the greater or lesser of two given numbers. They first work with concrete materials whereby they build each quantity (1.NBT.2) and find the...