# Math - Kindergarten

OER Curriculum

These Open Educational Resources are comprehensive and coherent curricular materials that may be used to teach a course or grade level.

Engage NY
• Kindergarten Mathematics (Engage NY)
In order to assist educators with the implementation of the Common Core, the New York State Education Department provides curricular modules in Pre-K-Grade 12 English Language Arts and Mathematics that schools and districts can adopt or adapt for local purposes.
• Kindergarten Mathematics Module 1: Numbers to 10 Curriculum in A Story of Unit (Engage NY)
In Topics A and B, classification activities allow students to analyze and observe their world and articulate their observations. Reasoning and dialogue begin immediately. In Topics C, D, E, and F, students order, count, and write up to ten objects to answer "how many?" questions from linear, to array, to circular, and finally to scattered configurations wherein they must devise a path through the objects as they count. In Topics G and H, students use their understanding of relationships between numbers and know that each successive number name refers to a quantity that is one greater and that the number before is one less.
• Kindergarten Mathematics Module 2: Two-Dimensional and Three-Dimensional Shapes (Engage NY)
Module 2 explores two-dimensional and three-dimensional shapes. Students learn about flat and solid shapes independently as well as how they are related to each other and to shapes in their environment. Students begin to use position words when referring to and moving shapes. Students learn to use their words to distinguish between examples and non-examples of flat and solid shapes.
• Kindergarten Mathematics Module 3: Comparison of Length, Weight, Capacity, and Numbers to 10
After students observed, analyzed, and classified objects by shape into pre-determined categories in Module 2, they now compare and analyze length, weight, volume, and, finally, number in Module 3. The module supports students understanding of amounts and their developing number sense. The module culminates in a three-day exploration, one day devoted to each attribute: length, weight, and volume.
• Kindergarten Mathematics Module 4: Number Pairs, Addition and Subtraction to 10
Module 4 marks the next exciting step in math for kindergartners, addition and subtraction! They begin to harness their practiced counting abilities, knowledge of the value of numbers, and work with embedded numbers to reason about and solve addition and subtraction expressions and equations. In Topics A and B, decomposition and composition are taught simultaneously using the number bond model so that students begin to understand the relationship between parts and wholes before moving into formal work with addition and subtraction in the rest of the module.
• Kindergarten Mathematics Module 5: Numbers 10-20; Count to 100 by Ones and Tens
Up to this point in Grade K, students have worked intensively within 10 and have often counted to 30 using the Rekenrek during fluency practice. This work sets the stage for this module where students clarify the meaning of the 10 ones and some ones within a teen number and extend that understanding to count to 100.
• Kindergarten Mathematics Module 6: Analyzing, Comparing, and Composing Shapes
Kindergarten comes to a close with another opportunity for students to explore geometry in Module 6. Throughout the year, students have built an intuitive understanding of two- and three-dimensional figures by examining exemplars, variants, and non-examples. They have used geometry as a context for exploring numerals as well as comparing attributes and quantities. To wrap up the year, students further develop their spatial reasoning skills and begin laying the groundwork for an understanding of area through composition of geometric figures.
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Georgia Standards of Excellence Curriculum Frameworks
• Georgia Standards of Excellence Mathematics
GeorgiaStandards.Org (GSO) is a free, public website providing information and resources necessary to help meet the educational needs of students. The goal of this web site is to provide information that will enhance and support teaching and learning of Georgia standards.
• Kindergarten Unit 1: Counting With Friends (Georgia Standards)
In this unit, students will recognize and order numbers 0-20, count to tell the number of objects (to 20), compare numbers (to 10), and write the numbers 0-20.
• Kindergarten Unit 2: Comparing Numbers (Georgia Standards)
For numbers 11 to19, Kindergarten students choose, combine, and apply strategies for answering quantitative questions. This includes composing and decomposing numbers from 11 to 19 into ten ones and some further ones by writing and representing the numbers, counting and producing sets of given sizes, counting the number of objects in combined sets, or counting the number of objects that remain in a set after some are taken away. Objects, pictures, actions, and explanations are used to solve problems and represent thinking.
• Kindergarten Unit 3: Sophisticated Shapes (Georgia Standards)
Students describe their physical world using geometric ideas (e.g., shape, orientation, spatial relations) and vocabulary. They identify, name, and describe basic two-dimensional shapes, such as squares, triangles, circles, rectangles, and hexagons, presented in a variety of ways (e.g., with different sizes and orientations), as well as three-dimensional shapes such as cubes, cones, cylinders, and spheres. They use basic shapes and spatial reasoning to model objects in their environment and to construct more complex shapes.
• Kindergarten Unit 4: Measuring and Analyzing Data (Georgia Standards)
In this unit, students will describe and compare measurable attributes, classify objects and count the number of objects in each category.
• Kindergarten Unit 5: Investigating Addition and Subtraction (Georgia Standards)
For numbers 0 10, Kindergarten students choose, combine, and apply strategies for answering quantitative questions. This includes quickly recognizing the cardinalities of less sets of objects, counting and producing sets of given sizes, counting the number of objects in combined sets, or counting the number of objects that remain in a set after some are taken away. Objects, pictures, actions, and explanations are used to solve problems and represent thinking.
• Kindergarten Unit 6: Further Investigation of Addition and Subtraction (Georgia Standards)
For numbers 0 10, Kindergarten students choose, combine, and apply strategies for answering quantitative questions. This includes quickly recognizing the cardinalities of less sets of objects, counting and producing sets of given sizes, counting the number of objects in combined sets, or counting the number of objects that remain in a set after some are taken away. Objects, pictures, actions, and explanations are used to solve problems and represent thinking.
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