In Kindergarten, instructional time should focus on two critical areas: (1) representing and comparing whole numbers, initially with sets of objects; (2) describing shapes and space. More learning time in Kindergarten should be devoted to number than to other topics.

1. Students use numbers, including written numerals, to represent quantities and to solve quantitative problems, such as counting objects in a set; counting out a given number of objects; comparing sets or numerals; and modeling simple joining and separating situations with sets of objects, or eventually with equations such as 5 + 2 = 7 and 7 – 2 = 5. (Kindergarten students should see addition and subtraction equations, and student writing of equations in kindergarten is encouraged, but it is not required.) Students choose, combine, and apply effective strategies for answering quantitative questions, including quickly recognizing the cardinalities of small 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.

2. 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 mapping out of first six weeks of school instruction:

CCSS.Math.Content.K.CC.A.1 Count to 10 by ones and by tens. EDM Lessons: 1.4, 1.12, 1.14, 2.6, 2.9, 3.5, 3.6, 3.9, 3.15, 4.2, 4.6, 6.5, 7.2, 7.7, 7.8, 7.11, 8.1

CCSS.Math.Content.K.CC.A.2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). EDM Lessons: 1.12, 2.10, 3.6, 4.2, 4.6, 7.2, 7.7, 7.8, 8.1

CCSS.Math.Content.K.CC.A.3 Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects). EDM Lessons: 1.5, 1.6, 1.12, 1.14, 1.16, 2.7, 2.12, 3.1, 3.3, 3.5, 3.6, 3.9, 4.12, 4.16, 7.10. 8.6, 8.9
Dice Roll Addition Game: good for tracing numbers also: http://www.illustrativemathematics.org/illustrations/1224

Count to tell the number of objects.

CCSS.Math.Content.K.CC.B.4 Understand the relationship between numbers and quantities; connect counting to cardinality.

CCSS.Math.Content.K.CC.B.4a When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. EDM Lessons: 1.3, 1.5, 1.6, 1.12, 1.14, 1.16, 2.6, 2.9, 2.11, 2.12, 3.3, 3.5, 3.8, 3.9, 3.13, 3.16, 4.6, 4.8, 4.12, 5.1 (story sequencing), 5.8 (counting by 5s exposure), 7.2, 7.7, 8.1

CCSS.Math.Content.K.CC.B.4b Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. EDM Lessons: 1.3, 1.5, 1.6, 1.12, 1.14, 1.16, 2.6, 2.9, 2.11, 2.12, 3.3, 3.5, 3.8, 3.9, 3.13, 3.16, 4.6, 4.8, 4.12, 7.2, 7.7, 8.1

CCSS.Math.Content.K.CC.B.4c Understand that each successive number name refers to a quantity that is one larger. EDM Lessons: 1.3, 1.5, 1.6, 1.12, 1.14, 1.16, 2.6, 2.8 (focus on counting with exposure to coin names, coins are used as manipulative), 2.9, 2.12, 3.13, 8.5

CCSS.Math.Content.K.CC.B.5 Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects. ED.6M Lessons: 1.5, 1.14, 1.16, 2.6, 2.9, 2.10, 3.13, 7.2, 7.7, 8.1

Compare numbers.

CCSS.Math.Content.K.CC.C.6 Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. EDM Lessons: 1.6, 1.8, 1.11, 1.14, 1.16, 2.10, 3.14, 3.16, 4.2, 7.13

CCSS.Math.Content.K.CC.C.7 Compare two numbers between 1 and 10 presented as written numerals. EDM Lessons: 3.6 (monster squeeze), 4.2 (top-it), 5.6 (compare feet sizes with numbers), 7.13 (review activities), 7.14, 7.16, 8.4

Operations & Algebraic Thinking

Understand addition, and understand subtraction.

CCSS.Math.Content.K.OA.A.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. EDM Lessons: 2.14 (number stories), 3.6, 3.8, 3.13, 4.1, 4.4 (addition symbol), 4.8, 4.11 (subtraction symbol), 4.15 (number stories), 5.8, 5.15 (intro to number grid), 6.9 (comparison number stories), 7.2, 7.3 (class number story book), 7.6, 7.12, 7.16, 8.4, 8.9, 8.10, 8.13, 8.14 (number stories with calculators, possible challenge for kids), project 3 (fun with games)

CCSS.Math.Content.K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. EDM Lessons: 2.14 (number stories), 3.6, 3.8, 4.4 (addition symbol), 4.8, 4.11 (subtraction symbol), 4.15 (number stories), 5.8, 5.15 (intro to number grid), 6.9 (comparison number stories), 7.2, 7.3 (class number story book), 7.6, 8.13, 8.14 (number stories with calculators, possible challenge for kids), project 3 (fun with games)

CCSS.Math.Content.K.OA.A.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1). EDM Lessons: 1.5, 1.6, 2.14 (number stories), 4.8, 5.8 (count by 5s), 5.15, 7.3 (class number story book), 7.6 (dice games), 7.9 (craft sticks), 7.15, 7.16, 8.9 (name collection), project 3 (fun with games) Dice Roll Addition Game: good for tracing numbers also: http://www.illustrativemathematics.org/illustrations/1224

CCSS.Math.Content.K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.

Work with numbers 11-19 to gain foundations for place value.

CCSS.Math.Content.K.NBT.A.1 Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (such as 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

Measurement & Data

Describe and compare measurable attributes.

CCSS.Math.Content.K.MD.A.1 Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object. EDM Lessons: 1.6, 1.13, 3.4 (pan balance), 3.7, 3.12, 3.14, 4.12, 4.13, 5.4 (words "higher," "lower" language), 5.6, 5.7, 5.11, 5.14, 6.3 (solid shape museum, during toy IB planner), 2.8, 1.11, 6.1, 6.2, 6.7, (talk about attributes of coins), 8.15, Project 5 (different attributes of 100 things for 100th day)

CCSS.Math.Content.K.MD.A.2 Directly compare two objects with a measurable attribute in common, to see which object has “more of”/“less of” the attribute, and describe the difference. For example, directly compare the heights of two children and describe one child as taller/shorter EDM Lessons: 1.1, 1.13, 3.4, 3.7, 3.12, 3.14, 4.12, 5.4, 5.6, 5.7, 5.11, 5.14, 6.3, 2.8, 1.11, 6.1, 6.2, 6.7, (talk about attributes of coins), 8.15, Project 5 (different attributes of 100 things for 100th day)

Classify objects and count the number of objects in each category.

CCSS.Math.Content.K.MD.B.3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.

CCSS.Math.Content.K.G.A.3 Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”).

Analyze, compare, create, and compose shapes.

CCSS.Math.Content.K.G.B.4 Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length). Alike or Different Game: Partner game to find/compare like and different attributes of two shapes: http://www.illustrativemathematics.org/illustrations/515

CCSS.Math.Content.K.G.B.5 Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.

CCSS.Math.Content.K.G.B.6 Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”

## Mathematics » Kindergarten » Introduction

In Kindergarten, instructional time should focus on two critical areas: (1) representing and comparing whole numbers, initially with sets of objects; (2) describing shapes and space. More learning time in Kindergarten should be devoted to number than to other topics.Kindergarten mapping out of first six weeks of school instruction:

Counting and Cardinality## Know number names and the count sequence.

2.12, 3.1, 3.3, 3.5, 3.6, 3.9, 4.12, 4.16, 7.10. 8.6, 8.92.7,Dice Roll Addition Game: good for tracing numbers also: http://www.illustrativemathematics.org/illustrations/1224

## Count to tell the number of objects.

## Compare numbers.

Operations & Algebraic Thinking## Understand addition, and understand subtraction.

Numbers and Operations in Base Ten## Work with numbers 11-19 to gain foundations for place value.

Measurement & Data## Describe and compare measurable attributes.

For example, directly compare the heights of two children and describe one child as taller/shorterEDM Lessons: 1.1, 1.13, 3.4, 3.7, 3.12, 3.14, 4.12, 5.4, 5.6, 5.7, 5.11, 5.14, 6.3, 2.8, 1.11, 6.1, 6.2, 6.7, (talk about attributes of coins), 8.15, Project 5 (different attributes of 100 things for 100th day)## Classify objects and count the number of objects in each category.

GeometryIdentify and describe shapes.above,below,beside,in front of,behind, andnext to. Shape Hunt part 1: http://www.illustrativemathematics.org/illustrations/675. Shape Hunt part 2, finding shapes in the real world: http://www.illustrativemathematics.org/illustrations/822 Shape Pattern Match: visual discrimination of shapes: http://www.illustrativemathematics.org/illustrations/706## Analyze, compare, create, and compose shapes.

For example, “Can you join these two triangles with full sides touching to make a rectangle?”