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Common Core: Math
Topic: Common Core Learning Standards
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 Students begin by learning to tell and write time to the nearest minute using analog and digital clocks in Topic A (3.MD.1). They understand time as a continuous measurement through exploration with...

 Kilograms and grams are introduced in Topic B, measured on digital and spring scales. Students use manipulatives to build a kilogram and then decompose it to explore the relationship between the...

 More experienced with measurement and estimation using different units and tools, students further develop their skills by learning to round in Topic C (3.NBT.1). They measure, and then use place...

 In Topic A, students begin to conceptualize area as the amount of twodimensional surface that is contained within a plane figure. They come to understand that the space can be tiled with unit...

 In Topic B, students progress from using square tile manipulatives to drawing their own area models. Anticipating the final structure of an array, they complete rows and columns in figures such as...

 In Topic C, students manipulate rectangular arrays to concretely demonstrate the arithmetic properties in anticipation of the following lessons. They do this by cutting rectangular grids and...

 Topic D creates an opportunity for students to solve problems involving area (3.MD.7b). Students decompose and/or compose composite regions into nonoverlapping rectangles, find the area of each...

 Topic A begins with a lesson in which students generate categorical data, organize it, and then represent it in a variety of forms. Drawing on Grade 2 knowledge, students might initially use tally...

 In Topic B, students learn that intervals do not have to be whole numbers, but can also have fractional values that facilitate recording measurement data with greater precision. In Lesson 5, they...

 Students tessellate to bridge geometry experience with the study of perimeter in Topic C. They first decompose a quadrilateral and then rearrange the parts. They use the new shape to tile. ...

 Topic D utilizes the line plot, familiar from Module 6, to help students draw conclusions about perimeter and area measurements (3.MD.4). Early in the topic, students find different possible...

 In Topic E, students solve problems involving area and perimeter. After an initial lesson problem solving with perimeter, students apply this knowledge to create a robot composed of rectangles. ...

 Grade PreKindergarten Module 1 Topic A: Matching Objects In Topic A, children learn to match concrete objects with common attributes. By observing an object’s attributes, children can begin to...

 Grade PreKindergarten Module 1 Topic B: Sorting In Topic B, children sort objects into groups using given attributes such as color, shape, size, and texture. This topic lays the foundation for...

 Grade PreKindergarten Module 1 Topic C: How Many Questions with 1, 2, or 3 Objects In Topic C, students build on their knowledge of sorting objects and counting to 3 as they learn to answer how many...

 Grade PreKindergarten Module 1 Topic E: How Many Questions with 4 or 5 Objects Topics E and F mimic Topics C and D, extending children’s understanding of the number core to quantities of 4 and 5. ...

 In Topic A, students use correct vocabulary, tall or short, to describe length. Because PreKindergarten students entering school might describe most objects as big or small, Lesson 1 helps students...

 Topic B begins with children using correct vocabulary, heavy and light, to describe weight (again, as opposed to big and small). In Lesson 6, students choose an object from a prepared bin of heavy...

 In Topic C, the concept of volume and the vocabulary used to describe and compare it (i.e., big, small, more, and less) are discussed. This is perhaps the most familiar to young children, compared to...

 So far, PreKindergarten students have done a lot of onetoone counting, have compared measurable attributes, and have identified the first and last in a group of objects. Topic E brings these...

 In Modules 1 and 3 students did extensive work to develop understanding of numbers to 10. The first half of Module 4 was dedicated to comparison of measurement. Topic F brings together this work...

 In Topic G, students compare quantities using numerals by using the counting and matching strategies they have practiced throughout the module. Connecting both sets to a numeral and indirectly...

 Children have been working with the numerals 15 since Module 1 and the number 0 since Module 3. Throughout the year, they have had many opportunities to match a number of objects with a prewritten...

 Topic B marks an exciting point in PreK children’s math learning as they begin to explore addition of numbers to 5 through story problems. They build on the comparison work of Module 4, so that "...