# Grade 1 — Common Core State Standards

## Mathematics Standards

### Operations and Algebraic Thinking (1.0A)

#### Represent and solve problems involving addition and subtraction.

**1.OA.A.1** Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Existing Resources:

- Feel ‘n Peel Stickers: UEB Basic Math Symbols 1-08893-00
- Feel ‘n Peel Stickers: Nemeth Basic Math Symbols 1-08892-00
- Addition and Subtraction Table Kit – 5-82699-00
- 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
- 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
- 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

**1.OA.A.2** Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Existing Resources:

- Feel ‘n Peel Stickers: UEB Basic Math Symbols 1-08893-00
- Feel ‘n Peel Stickers: Nemeth Basic Math Symbols 1-08892-00
- Addition and Subtraction Table Kit – 5-82699-00
- 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
- 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
- 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

#### Understand and apply properties of operations and the relationship between addition and subtraction.

**1.OA.B.3** Apply properties of operations as strategies to add and subtract. *Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)*

Existing Resources:

- Addition and Subtraction Table Kit – 5-82699-00
- 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
- 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 with Small Work-Play Tray, Black – 1-03751-00; Yellow – 1-03660-00
- Textured Sorting Circles and Shapes – 1-08834-00

**1.OA.B.4** Understand subtraction as an unknown-addend problem. *For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.*

Existing Resources:

- Addition and Subtraction Table Kit – 5-82699-00
- Consumable Number Lines, Large Print Set – 1-03012-00; Braille/Tactile Set – 1-03013-00
- Desktop Stick-On Number Lines – 1-03481-00
- 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

#### Add and subtract within 20.

**1.OA.C.5** Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

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
- Hundreds Board and Manipulatives – 1-03105-00
- Number Line Device – 1-03480-01

**1.OA.C.6** Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

Existing Resources:

- Addition and Subtraction Table Kit – 5-82699-00
- 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
- 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
- Math Flash, CD-Rom – D19910-01; Digital Download – D19910-ED
- Number Line Device – 1-03480-01
- Quick Pick Math, Addition – 1-03570-00
- Quick Pick Math, Subtraction – 1-03571-00
- Tactile Tokens – 61-421-090
- Math Robot™ for the iPhone – Works with your Apple® iPad® or iPad mini® running iOS 7® or later. Available on Quota at APH and at the App Store at itunes.apple.com/app/math-robot/id704570512

#### Work with addition and subtraction equations.

**1.OA.D.7** Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. *For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.*

Existing Resources:

- Feel ‘n Peel Stickers: UEB Basic Math Symbols 1-08893-00
- Feel ‘n Peel Stickers: Nemeth Basic Math Symbols 1-08892-00
- Addition and Subtraction Table Kit – 5-82699-00
- 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
- Tactile Tokens – 61-421-090

**1.OA.D.8** Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. *For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = ? – 3, 6 + 6 = ?.*

Existing Resources:

- Addition and Subtraction Table Kit – 5-82699-00
- Consumable Number Lines, Large Print Set – 1-03012-00; Braille/Tactile Set – 1-03013-00
- Desktop Stick-On Number Lines – 1-03481-00
- 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
- Nemeth Code Reference Sheet, Print – 7-87500-00; Braille – 5-87400-00
- 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

### Number and Operations in Base Ten (1.NBT)

#### Extend the counting sequence.

**1.NBT.A.1** Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.

Existing Resources:

- Consumable Hundreds Chart – 5-82710-00
- Hundreds Board and Manipulatives – 1-03105-00
- 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

#### Understand place value.

**1.NBT.B.2** Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:

- 1.NBT.B.2a 10 can be thought of as a bundle of ten ones—called a “ten.”
- 1.NBT.B.2b The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.
- 1.NBT.B.2c The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

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
- Nemeth Code Reference Sheet, Print – 7-87500-00; Braille – 5-87400-00

**1.NBT.B.3** Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.

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
- 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

#### Use place value understanding and properties of operations to add and subtract.

**1.NBT.C.4** Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.

Existing Resources:

- Consumable Hundreds Chart – 5-82710-00
- 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

**1.NBT.C.5** Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.

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
- Math Drill Cards in Braille and Large Print, Number & Math Signs – 1-03551-00

**1.NBT.C.6** Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Existing Resources:

- Consumable Hundreds Chart – 5-82710-00
- 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
- 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

### Measurement and Data (1.MD)

#### Measure lengths indirectly and by iterating length units.

**1.MD.A.1** Order three objects by length; compare the lengths of two objects indirectly by using a third object.

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

**1.MD.A.2** Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps. *Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps.*

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

#### Tell and write time.

**1.MD.B.3** Tell and write time in hours and half-hours using analog and digital clocks.

Existing Resources:

- Analog Clock Model – 1-03125-00
- Clock Face Sheets in Braille – 1-03111-00
- 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

#### Represent and interpret data.

**1.MD.C.4** Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.

Existing Resources:

- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- MathBuilders, Unit 8: Data Collection, Graphing, and Probability/Statistics, Large Print Kit – 7-03565-00; Braille Kit – 5-03565-00

### Geometry (1.G)

#### Reason with shapes and their attributes.

**1.G.A.1** Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.

Existing Resources:

- Chang Tactual Diagramming Kit – 1-03130-00
- DRAFTSMAN Tactile Drawing Board – 1-08857-00
- 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: Wheatley Tactile Diagramming Kit – 1-08838-00

**1.G.A.2** Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.

Existing Resources:

- Geometro GS 10 Cylinder and Cone – 1-03030-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Geometro, GS16 Mini Set – 1-03022-00
- Graphic Art Tape – 1-08878-00
- MathBuilders, Unit 6: Geometry, Large Print Kit – 7-03563-00; Braille Kit – 5-03563-00
- MathBuilders, Unit 7: Fractions, Mixed Numbers, and Decimals, Large Print Kit – 7-03564-00; Braille Kit – 5-03564-00
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00
- Puzzle Form Board Kit – 1-03721-00
- Tactile Tangrams Kit – 1-08439-00

**1.G.A.3** Partition circles and rectangles into two and four equal shares, describe the shares using the words *halves*, *fourths*, and *quarters*, and use the phrases *half of*, *fourth of*, and *quarter of*. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

Existing Resources:

- DRAFTSMAN Tactile Drawing Board – 1-08857-00
- FOCUS in Mathematics, Print Kit – 1-08280-01; Braille Kit – 1-08281-01
- Graphic Art Tape – 1-08878-00
- MathBuilders, Unit 7: Fractions, Mixed Numbers, and Decimals, Large Print Kit – 7-03564-00; Braille Kit – 5-03564-00
- Picture Maker: Wheatley Tactile Diagramming Kit – 1-08838-00

## English Language Arts Standards

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