# Common Core State Standards: Kindergarten

## Mathematics Standards

- Counting and Cardinality
- Operations and Algebraic Thinking
- Number and Operations in Base Ten
- Measurement and Data
- Geometry

### Counting and Cardinality (K.CC)

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

**K.CC.A.1** Count to 100 by ones and by tens.

Existing Resources:

- Consumable Hundreds Chart – 5-82710-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Hundreds Board and Manipulatives – 1-03105-00
- Number Line Device – 1-03480-01

**K.CC.A.2** Count forward beginning from a given number within the known sequence (instead of having to begin at 1).

Existing Resources:

- Consumable Hundreds Chart – 5-82710-00
- Consumable Number Lines, Large Print Set – 1-03012-00; Braille/Tactile Set – 1-03013-00
- Desktop Stick-On Number Lines – 1-03481-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Hundreds Board and Manipulatives – 1-03105-00
- Number Line Device – 1-03480-01

**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).

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Math Drill Cards in Braille and Large Print, Number & Math Signs – 1-03551-00
- Nemeth Code Reference Sheet, Print – 7-87500-00; Braille – 5-87400-00
- Tactile Tokens – 61-421-090

#### Count to tell the number of objects.

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

- 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.
- 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.
- K.CC.B.4c Understand that each successive number name refers to a quantity that is one larger.

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- MathBuilders, Unit 1: Matching, Sorting, and Patterning, Large Print Kit – 7-03560-00; Braille Kit – 5-03560-00
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Quick Pick Counting – 1-03574-00
- Tactile Tokens – 61-421-090
- Textured Sorting Circles and Shapes – 1-08834-00

**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.

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- MathBuilders, Unit 1: Matching, Sorting, and Patterning, Large Print Kit – 7-03560-00; Braille Kit – 5-03560-00
- Math Drill Cards in Braille and Large Print, Number & Math Signs – 1-03551-00
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Quick Pick Counting – 1-03574-00
- Tactile Tokens – 61-421-090
- Textured Sorting Circles and Shapes – 1-08834-00

#### Compare numbers.

**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.

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Small Work-Play Tray, Black – 1-03751-00; Yellow – 1-03660-00
- Tactile Tokens – 61-421-090
- Textured Sorting Circles and Shapes – 1-08834-00

**K.CC.C.7** Compare two numbers between 1 and 10 presented as written numerals.

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Math Drill Cards in Braille and Large Print, Number & Math Signs – 1-03551-00

### Operations and Algebraic Thinking (K.OA)

#### Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

**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.

Existing Resources:

- DRAFTSMAN Tactile Drawing Board – 1-08857-00
- Expanded Beginner’s Abacus Kit – 1-03181-00
- EZeeCOUNT Abacus – 1-03185-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Math Drill Cards in Braille and Large Print, Number & Math Signs – 1-03551-00
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Tactile Tokens – 61-421-090
- Textured Sorting Circles and Shapes – 1-08834-00

**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.

Existing Resources:

- Consumable Number Lines, Large Print Set – 1-03012-00; Braille/Tactile Set – 1-03013-00
- Desktop Stick-On Number Lines – 1-03481-00
- DRAFTSMAN Tactile Drawing Board – 1-08857-00
- Expanded Beginner’s Abacus Kit – 1-03181-00
- EZeeCOUNT Abacus – 1-03185-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Number Line Device – 1-03480-01
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Tactile Tokens – 61-421-090
- Textured Sorting Circles and Shapes – 1-08834-00
- Tactile Algebra Tiles – 1-08410-00

**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).

Existing Resources:

- DRAFTSMAN Tactile Drawing Board – 1-08857-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Math Drill Cards in Braille and Large Print, Number & Math Signs – 1-03551-00
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Tactile Tokens – 61-421-090
- Textured Sorting Circles and Shapes – 1-08834-00
- Tactile Algebra Tiles – 1-08410-00

**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.

Existing Resources:

- Consumable Number Lines, Large Print Set – 1-03012-00; Braille/Tactile Set – 1-03013-00
- Desktop Stick-On Number Lines – 1-03481-00
- DRAFTSMAN Tactile Drawing Board – 1-08857-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Math Drill Cards in Braille and Large Print, Number & Math Signs – 1-03551-00
- Number Line Device – 1-03480-01
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Tactile Tokens – 61-421-090
- Textured Sorting Circles and Shapes – 1-08834-00
- Tactile Algebra Tiles – 1-08410-00

**K.OA.A.5** Fluently add and subtract within 5.

Existing Resources:

- Expanded Beginner’s Abacus Kit – 1-03181-00
- EZeeCOUNT Abacus – 1-03185-00
- Math Flash, CD-Rom – D19910-01; Digital Download – D19910-ED
- Quick Pick Math, Addition – 1-03570-00
- Quick Pick Math, Subtraction – 1-03571-00

### Number and Operations in Base Ten (K.NBT)

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

**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 (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

Existing Resources:

- Consumable Hundreds Chart – 5-82710-00
- DRAFTSMAN Tactile Drawing Board – 1-08857-00
- Expanded Beginner’s Abacus Kit – 1-03181-00
- EZeeCOUNT Abacus – 1-03185-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Hundreds Board and Manipulatives – 1-03105-00
- Nemeth Code Reference Sheet, Print – 7-87500-00; Braille– 5-87400-00
- Tactile Tokens – 61-421-090
- Textured Sorting Circles and Shapes – 1-08834-00

### Measurement and Data (K.MD)

#### Describe and compare measurable attributes.

**K.MD.A.1** Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- MathBuilders, Unit 5: Measurement and Estimation, Large Print Kit – 7-03562-00; Braille Kit – 5-03562-00
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Sensory Cylinder Set – 1-03670-00

**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.*

Existing Resources:

- Chang Tactual Diagramming Kit – 1-03130-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- MathBuilders, Unit 1: Matching, Sorting, and Patterning, Large Print Kit – 7-03560-00; Braille Kit – 5-03560-00
- MathBuilders, Unit 5: Measurement and Estimation, Large Print Kit – 7-03562-00; Braille Kit – 5-03562-00
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Sensory Cylinder Set – 1-03670-00
- Shape Board – 1-03710-01
- Textured Sorting Circles and Shapes – 1-08834-00

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

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

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Shape Board – 1-03710-01
- Textured Sorting Circles and Shapes – 1-08834-00

### Geometry (K.G)

#### Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

**K.G.A.1** Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as *above*, *below*, *beside*, *in front of*, *behind*, and *next to*.

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Goin’ on a Bear Hunt – 6-77903-00
- MathBuilders, Unit 6: Geometry, Large Print Kit – 7-03563-00; Braille Kit – 5-03563-00
- Splish the Fish – 6-77902-00
- Tactile Treasures – 1-08842-01

**K.G.A.2** Correctly name shapes regardless of their orientations or overall size.

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Geometric Forms – 1-03410-00
- Geometro, GS16 Mini Set – 1-03022-00
- MathBuilders, Unit 6: Geometry, Large Print Kit – 7-03563-00; Braille Kit – 5-03563-00
- Picture Maker Accessories: Geometric Textured Shapes – 1-08838-01
- Plexiglas Blocks – 1-08663-00
- Shape Board – 1-03710-01
- Tactile Treasures – 1-08842-01

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

Existing Resources:

- Student Workbook Kit for Geometro – 1-03021-00
- Geometro GS 10 Cylinder and Cone – 1-03030-00
- Geometric Forms – 1-03410-00
- Geometro, GS16 Mini Set – 1-03022-00
- Giant Textured Beads with Pattern Matching Cards – 1-03778-00
- MathBuilders, Unit 6: Geometry, Large Print Kit – 7-03563-00; Braille Kit – 5-03563-00
- Picture Maker Accessories: Geometric Textured Shapes – 1-08838-01

#### Analyze, compare, create, and compose shapes.

**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).

Existing Resources:

- Student Workbook Kit for Geometro – 1-03021-00
- Geometro GS 10 Cylinder and Cone – 1-03030-00
- Chang Tactual Diagramming Kit – 1-03130-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Geometric Forms – 1-03410-00
- Geometro, GS16 Mini Set – 1-03022-00
- MathBuilders, Unit 6: Geometry, Large Print Kit – 7-03563-00; Braille Kit – 5-03563-00
- Picture Maker Accessories: Geometric Textured Shapes – 1-08838-01
- Shape Board – 1-03710-01
- Tactile Treasures – 1-08842-01
- Textured Sorting Circles and Shapes – 1-08834-00

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

Existing Resources:

- DRAFTSMAN Tactile Drawing Board – 1-08857-00
- FOCUS in Mathematics, Print Kit – 1-08280-01, Braille Kit – 1-08281-01
- Gumdrop Tree – 6-77502-03
- Picture Maker Accessories: Geometric Textured Shapes – 1-08838-01
- Puzzle Form Board Kit – 1-03721-00
- Tactile Tangrams Kit – 1-08439-00

**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?”*

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Graphic Art Tape – 1-08878-00
- MathBuilders, Unit 6: Geometry, Large Print Kit – 7-03563-00; Braille Kit – 5-03563-00
- Picture Maker Accessories: Geometric Textured Shapes – 1-08838-01
- Puzzle Form Board Kit – 1-03721-00
- Tactile Tangrams Kit – 1-08439-00

## English Language Arts Standards

**Note:** APH product recommendations for the English Language Arts CCSS will be published in the future.