Common Core Math Standards & Product Recommendations

Counting and Cardinality K.CC

Know number names and the count sequence.

1. Count to 100 by ones and by tens.

• Consumable Hundreds Chart, 5-82710-00
• Hundred Boards and Manipulatives (Nemeth), 1-03107-00
• Hundred Boards and Manipulatives (UEB), 1-03106-00
• Number Line Device, 1-03480-01
• Images of 120 charts available from Tactile Graphics Image Library

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

• Consumable Hundreds Chart, 5-82710-00
• Hundred Boards and Manipulatives (Nemeth), 1-03107-00
• Hundred Boards and Manipulatives (UEB), 1-03106-00
• Images of 120 charts available from Tactile Graphics Image Library
• Number Line Device, 1-03480-01
• Consumable Number Lines, Large Print Set, 1-03012-00
• Consumable Number Lines, Braille/Tactile Set, 1-03013-00
• Desktop Stick-On Number Lines, 1-03481-00

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).

• Math Drill Cards in Braille and Large Print, Number & Math Signs (Nemeth), 1-03551-00
• Math Drill Cards in Braille and Large Print, Number & Math Signs (UEB), 1-03545-00
• Math Symbol Reference Booklets, Large Print Version, 7-87300-00
• Math Symbol Reference Booklets, Braille Version, 5-87300-00

Count to tell the number of objects.

4. Understand the relationship between numbers and quantities; connect counting to cardinality. a. 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 each number name with one and only one object. b. 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. c. Understand that each successive number name refers to a quantity that is one larger.

• Lots of Dots: Counting 1-2-3, 1-10001-01
• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00
• Quick Pick Counting, 1-03574-00
• Textured Sorting Circles and Shapes, 1-08834-00

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.

• Lots of Dots: Counting 1-2-3, 1-10001-01
• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00
• Quick Pick Counting, 1-03574-00
• Math Drill Cards in Braille and Large Print, Number & Math Signs (Nemeth), 1-03551-00
• Math Drill Cards in Braille and Large Print, Number & Math Signs (UEB), 1-03545-00
• Textured Sorting Circles and Shapes, 1-08834-00

Compare numbers.

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.

• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00
• Textured Sorting Circles and Shapes, 1-08834-00
• Small Work-Play Tray, Black, 1-03751-00
• Small Work-Play Tray, Yellow, 1-03660-00

7. Compare two numbers between 1 and 10 presented as written numerals.

• Math Drill Cards in Braille and Large Print, Number & Math Signs (Nemeth), 1-03551-00
• Math Drill Cards in Braille and Large Print, Number & Math Signs (UEB), 1-03545-00

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Operations and Algebraic Thinking K.OA

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

1. Represent addition and subtraction with objects, fingers, mental images, drawings2, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

• Math Drill Cards in Braille and Large Print, Number & Math Signs (Nemeth), 1-03551-00
• Math Drill Cards in Braille and Large Print, Number & Math Signs (UEB), 1-03545-00
• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00
• Textured Sorting Circles and Shapes, 1-08834-00
• DRAFTSMAN Tactile Drawing Board, 1-08857-00
• TactileDoodle, 1-08824-00
• Expanded Beginner’s Abacus Kit, 1-03181-00

2. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00
• DRAFTSMAN Tactile Drawing Board, 1-08857-00
• TactileDoodle, 1-08824-00
• Expanded Beginner’s Abacus Kit, 1-03181-00
• Tactile Algebra Tiles, 1-08410-00
• Consumable Number Lines, Large Print Set, 1-03012-00
• Consumable Number Lines, Braille/Tactile Set, 1-03013-00
• Desktop Stick-On Number Lines, 1-03481-00
• Number Line Device, 1-03480-01

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).

• Tactile Five and Ten Frames, 1-03567-00
• DRAFTSMAN Tactile Drawing Board, 1-08857-00
• TactileDoodle, 1-08824-00
• Math Drill Cards in Braille and Large Print, Number & Math Signs (Nemeth), 1-03551-00
• Math Drill Cards in Braille and Large Print, Number & Math Signs (UEB), 1-03545-00
• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00
• Textured Sorting Circles and Shapes, 1-08834-00
• Tactile Algebra Tiles, 1-08410-00

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.

• Tactile Five and Ten Frames, 1-03567-00
• Number Line Device, 1-03480-01
• Consumable Number Lines, Large Print Set, 1-03012-00
• Consumable Number Lines, Braille/Tactile Set, 1-03013-00
• Desktop Stick-On Number Lines, 1-03481-00
• DRAFTSMAN Tactile Drawing Board, 1-08857-00
• TactileDoodle, 1-08824-00
• Math Drill Cards in Braille and Large Print, Number & Math Signs (Nemeth), 1-03551-00
• Math Drill Cards in Braille and Large Print, Number & Math Signs (UEB), 1-03545-00
• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00
• Textured Sorting Circles and Shapes, 1-08834-00
• Tactile Algebra Tiles, 1-08410-00

5. Fluently add and subtract within 5.

• Tactile Five and Ten Frames, 1-03567-00
• Expanded Beginner’s Abacus Kit, 1-03181-00
• Quick Pick Math, Addition, 1-03570-00
• Quick Pick Math, Subtraction, 1-03571-00
• Math Flash for Android Devices, D-30070-AP
• Math Robot, D-30000-AP

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Number and Operations in Base Ten K.NBT

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

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.

• Consumable Hundreds Chart, 5-82710-00
• DRAFTSMAN Tactile Drawing Board, 1-08857-00
• TactileDoodle, 1-08824-00
• Expanded Beginner’s Abacus Kit, 1-03181-00
• Hundred Boards and Manipulatives (Nemeth), 1-03107-00
• Hundred Boards and Manipulatives (UEB), 1-03106-00
• Math Symbol Reference Booklets, Large Print Version, 7-87300-00
• Math Symbol Reference Booklets, Braille Version, 5-87300-00
• Textured Sorting Circles and Shapes, 1-08834-00

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Measurement and Data K.MD

Describe and compare measurable attributes.

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

• Textured Sorting Circles and Shapes, 1-08834-00
• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00
• StackUps: Spatial Reasoning Using Cubes and Isometric Drawings, 1-08960-00

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.

• Textured Sorting Circles and Shapes, 1-08834-00
• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00

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

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

• Textured Sorting Circles and Shapes, 1-08834-00
• Picture Maker: Wheatley Tactile Diagramming Kit, 1-08838-00
• Tactile Algebra Tiles, 1-08410-00

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Geometry K.G

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

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.

• Goin’ on a Bear Hunt, 6-77903-00
• Splish the Fish, 6-77902-00
• Tactile Treasures, 1-08842-01

2. Correctly name shapes regardless of their orientations or overall size.

• Geometro: GS22 Medium Set, 1-03023-00
• Geometro: GS10 Cylinder and Cone, 1-03030-00
• Geometric Drawing Stencils, 1-08807-00
• Picture Maker Geometric Textured Shapes, 1-08838-01
• Textured Sorting Circles and Shapes, 1-08834-00
• Plexiglas Blocks, 1-08663-00
• Tactile Treasures, 1-08842-01
• Memory Puzzles: Shapes, 1-08001-00

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

• Student Workbook Kit for Geometro, 1-03021-00
• Geometro: GS22 Medium Set, 1-03023-00
• Geometro: GS10 Cylinder and Cone, 1-03030-00
• Picture Maker Geometric Textured Shapes, 1-08838-01
• Memory Puzzles: Shapes, 1-08001-00

Analyze, compare, create, and compose shapes.

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).

• Tactile Treasures, 1-08842-01
• Student Workbook Kit for Geometro, 1-03021-00
• Geometro: GS22 Medium Set, 1-03023-00
• Geometro: GS10 Cylinder and Cone, 1-03030-00
• Picture Maker Geometric Textured Shapes, 1-08838-01
• Textured Sorting Circles and Shapes, 1-08834-00
• Geometric Drawing Stencils, 1-08807-00

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

• DRAFTSMAN Tactile Drawing Board, 1-08857-00
• TactileDoodle, 1-08824-00
• Graph Benders, 1-03400-00
• Geometric Drawing Stencils, 1-08807-00
• Picture Maker Geometric Textured Shapes, 1-08838-01
• Tactile Tangrams Kit, 1-08439-00

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

• Graph Benders, 1-03400-00
• Geometric Drawing Stencils, 1-08807-00
• Picture Maker Geometric Textured Shapes, 1-08838-01
• Graphic Art Tape, 1-08878-00
• Tactile Tangrams Kit, 1-08439-00