# Mathematics Standards for Colorado — Grade 1

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#### G11.1a

Count to 120 (CCSS: 1.NBT.1) i. Count starting at any number less than 120. (CCSS: 1.NBT.1) ii. Within 120, read and write numerals and represent a number of objects with a written numeral. (CCSS: 1.NBT.1)

#### G11.1a.i

Count starting at any number less than 120. (CCSS: 1.NBT.1)

#### G11.1a.ii

Within 120, read and write numerals and represent a number of objects with a written numeral. (CCSS: 1.NBT.1)

#### G11.1b

Represent and use the digits of a two-digit number. (CCSS: 1.NBT.2) i. Represent the digits of a two-digit number as tens and ones.1 (CCSS: 1.NBT.2) ii. Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. (CCSS: 1.NBT.3) iii. Compare two sets of objects, including pennies, up to at least 25 using language such as 'three more or three fewer' (PFL)

#### G11.1b.i

Represent the digits of a two-digit number as tens and ones.1 (CCSS: 1.NBT.2)

#### G11.1b.ii

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

#### G11.1b.iii

Compare two sets of objects, including pennies, up to at least 25 using language such as 'three more or three fewer' (PFL)

#### G11.1c

Use place value and properties of operations to add and subtract. (CCSS: 1.NBT) i. Add within 100, including adding a two-digit number and a one-digit number and adding a two-digit number and a multiple of ten, using concrete models or drawings, and/or the relationship between addition and subtraction. (CCSS: 1.NBT.4) ii. Identify coins and find the value of a collection of two coins (PFL) iii. Mentally find 10 more or 10 less than any two-digit number, without counting; explain the reasoning used. (CCSS: 1.NBT.5) iv. 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. (CCSS: 1.NBT.6) v. Relate addition and subtraction strategies to a written method and explain the reasoning used. (CCSS: 1.NBT.4 and 1.NBT.6)

#### G11.1c.i

Add within 100, including adding a two-digit number and a one-digit number and adding a two-digit number and a multiple of ten, using concrete models or drawings, and/or the relationship between addition and subtraction. (CCSS: 1.NBT.4)

#### G11.1c.ii

Identify coins and find the value of a collection of two coins (PFL)

#### G11.1c.iii

Mentally find 10 more or 10 less than any two-digit number, without counting; explain the reasoning used. (CCSS: 1.NBT.5)

#### G11.1c.iv

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. (CCSS: 1.NBT.6)

#### G11.1c.v

Relate addition and subtraction strategies to a written method and explain the reasoning used. (CCSS: 1.NBT.4 and 1.NBT.6)

#### G11.2a

Represent and solve problems involving addition and subtraction. (CCSS: 1.OA) i. Use addition and subtraction within 20 to solve word problems.2 (CCSS: 1.OA.1) ii. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20.3 (CCSS: 1.OA.2)

#### G11.2a.i

Use addition and subtraction within 20 to solve word problems.2 (CCSS: 1.OA.1)

#### G11.2a.ii

Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20.3 (CCSS: 1.OA.2)

#### G11.2b

Apply properties of operations and the relationship between addition and subtraction. (CCSS: 1.OA) i. Apply properties of operations as strategies to add and subtract.4 (CCSS: 1.OA.3) ii. Relate subtraction to unknown-addend problem.5 (CCSS: 1.OA.4)

#### G11.2b.i

Apply properties of operations as strategies to add and subtract.4 (CCSS: 1.OA.3)

#### G11.2b.ii

Relate subtraction to unknown-addend problem.5 (CCSS: 1.OA.4)

#### G11.2c

Add and subtract within 20. (CCSS: 1.OA) i. Relate counting to addition and subtraction.6 (CCSS: 1.OA.5) ii. Add and subtract within 20 using multiple strategies.7 (CCSS: 1.OA.6) iii. Demonstrate fluency for addition and subtraction within 10. (CCSS: 1.OA.6)

#### G11.2c.i

Relate counting to addition and subtraction.6 (CCSS: 1.OA.5)

#### G11.2c.ii

Add and subtract within 20 using multiple strategies.7 (CCSS: 1.OA.6)

#### G11.2c.iii

Demonstrate fluency for addition and subtraction within 10. (CCSS: 1.OA.6)

#### G11.2d

Use addition and subtraction equations to show number relationships. (CCSS: 1.OA) i. Use the equal sign to demonstrate equality in number relationships.8 (CCSS: 1.OA.7) ii. Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.9 (CCSS: 1.OA.8)

#### G11.2d.i

Use the equal sign to demonstrate equality in number relationships.8 (CCSS: 1.OA.7)

#### G11.2d.ii

Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.9 (CCSS: 1.OA.8)

#### G13.1a

Represent and interpret data. (CCSS: 1.MD) i. Organize, represent, and interpret data with up to three categories. (CCSS: 1.MD.4) ii. 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. (CCSS: 1.MD.4)

#### G13.1a.i

Organize, represent, and interpret data with up to three categories. (CCSS: 1.MD.4)

#### G13.1a.ii

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. (CCSS: 1.MD.4)

#### G14.1a

Distinguish between defining attributes1 versus non-defining attributes.2 (CCSS: 1.G.1)

#### G14.1b

Build and draw shapes to possess defining attributes. (CCSS: 1.G.1)

#### G14.1c

Compose two-dimensional shapes3 or three-dimensional shapes4 to create a composite shape, and compose new shapes from the composite shape. (CCSS: 1.G.2)

#### G14.1d

Partition circles and rectangles into two and four equal shares. (CCSS: 1.G.3) i. Describe shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. (CCSS: 1.G.3) ii. Describe the whole as two of, or four of the equal shares.5 (CCSS: 1.G.3)

#### G14.1d.i

Describe shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. (CCSS: 1.G.3)

#### G14.1d.ii

Describe the whole as two of, or four of the equal shares.5 (CCSS: 1.G.3)

#### G14.2a

Measure lengths indirectly and by iterating length units. (CCSS: 1.MD) i. Order three objects by length; compare the lengths of two objects indirectly by using a third object. (CCSS: 1.MD.1) ii. Express the length of an object as a whole number of length units.6 (CCSS: 1.MD.2)

#### G14.2a.i

Order three objects by length; compare the lengths of two objects indirectly by using a third object. (CCSS: 1.MD.1)

#### G14.2a.ii

Express the length of an object as a whole number of length units.6 (CCSS: 1.MD.2)

#### G14.2b

Tell and write time. (CCSS: 1.MD) i. Tell and write time in hours and half-hours using analog and digital clocks. (CCSS: 1.MD.3)

#### G14.2b.i

Tell and write time in hours and half-hours using analog and digital clocks. (CCSS: 1.MD.3)