# Mathematics Standards for Colorado — Grade 2

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#### G21.1a

Use place value to read, write, count, compare, and represent numbers. (CCSS: 2.NBT) i. Represent the digits of a three-digit number as hundreds, tens, and ones.1 (CCSS: 2.NBT.1) ii. Count within 1000. (CCSS: 2.NBT.2) iii. Skip-count by 5s, 10s, and 100s. (CCSS: 2.NBT.2) iv. Read and write numbers to 1000 using base-ten numerals, number names, and expanded form. (CCSS: 2.NBT.3) v. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons. (CCSS: 2.NBT.4)

#### G21.1a.i

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

#### G21.1a.ii

Count within 1000. (CCSS: 2.NBT.2)

#### G21.1a.iii

Skip-count by 5s, 10s, and 100s. (CCSS: 2.NBT.2)

#### G21.1a.iv

Read and write numbers to 1000 using base-ten numerals, number names, and expanded form. (CCSS: 2.NBT.3)

#### G21.1a.v

Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons. (CCSS: 2.NBT.4)

#### G21.1b

Use place value understanding and properties of operations to add and subtract. (CCSS: 2.NBT) i. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. (CCSS: 2.NBT.5) ii. Add up to four two-digit numbers using strategies based on place value and properties of operations. (CCSS: 2.NBT.6) iii. Add and subtract within 1000, 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.2 (CCSS: 2.NBT.7) iv. Mentally add 10 or 100 to a given number 100900, and mentally subtract 10 or 100 from a given number 100900. (CCSS: 2.NBT.8) v. Explain why addition and subtraction strategies work, using place value and the properties of operations. (CCSS: 2.NBT.9)

#### G21.1b.i

Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. (CCSS: 2.NBT.5)

#### G21.1b.ii

Add up to four two-digit numbers using strategies based on place value and properties of operations. (CCSS: 2.NBT.6)

#### G21.1b.iii

Add and subtract within 1000, 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.2 (CCSS: 2.NBT.7)

#### G21.1b.iv

Mentally add 10 or 100 to a given number 100900, and mentally subtract 10 or 100 from a given number 100900. (CCSS: 2.NBT.8)

#### G21.1b.v

Explain why addition and subtraction strategies work, using place value and the properties of operations. (CCSS: 2.NBT.9)

#### G21.2a

Represent and solve problems involving addition and subtraction. (CCSS: 2.OA) i. Use addition and subtraction within 100 to solve one- and two step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions.3 (CCSS: 2.OA.1) ii. Apply addition and subtraction concepts to financial decisionmaking (PFL)

#### G21.2a.i

Use addition and subtraction within 100 to solve one- and two step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions.3 (CCSS: 2.OA.1)

#### G21.2a.ii

Apply addition and subtraction concepts to financial decisionmaking (PFL)

#### G21.2b

Fluently add and subtract within 20 using mental strategies. (CCSS: 2.OA.2)

#### G21.2c

Know from memory all sums of two one-digit numbers. (CCSS: 2.OA.2)

#### G21.2d

Use equal groups of objects to gain foundations for multiplication. (CCSS: 2.OA) i. Determine whether a group of objects (up to 20) has an odd or even number of members.4 (CCSS: 2.OA.3) ii. Write an equation to express an even number as a sum of two equal addends. (CCSS: 2.OA.3) iii. Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns and write an equation to express the total as a sum of equal addends. (CCSS: 2.OA.4)

#### G21.2d.i

Determine whether a group of objects (up to 20) has an odd or even number of members.4 (CCSS: 2.OA.3)

#### G21.2d.ii

Write an equation to express an even number as a sum of two equal addends. (CCSS: 2.OA.3)

#### G21.2d.iii

Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns and write an equation to express the total as a sum of equal addends. (CCSS: 2.OA.4)

#### G23.1a

Represent and interpret data. (CCSS: 2.MD) i. Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units. (CCSS: 2.MD.9) ii. Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. (CCSS: 2.MD.10) iii. Solve simple put together, take-apart, and compare problems using information presented in picture and bar graphs. (CCSS: 2.MD.10)

#### G23.1a.i

Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns and write an equation to express the total as a sum of equal addends. (CCSS: 2.OA.4)

#### G23.1a.ii

Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. (CCSS: 2.MD.10)

#### G23.1a.iii

Solve simple put together, take-apart, and compare problems using information presented in picture and bar graphs. (CCSS: 2.MD.10)

#### G24.1a

Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. (CCSS: 2.G.1)

#### G24.1b

Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. (CCSS: 2.G.1)

#### G24.1c

Partition a rectangle into rows and columns of same-size squares and count to find the total number of them. (CCSS: 2.G.2)

#### G24.1d

Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. (CCSS: 2.G.3)

#### G24.1e

Recognize that equal shares of identical wholes need not have the same shape. (CCSS: 2.G.3)

#### G24.2a

Measure and estimate lengths in standard units. (CCSS: 2.MD) i. Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. (CCSS: 2.MD.1) ii. Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen. (CCSS: 2.MD.2) iii. Estimate lengths using units of inches, feet, centimeters, and meters. (CCSS: 2.MD.3) iv. Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit. (CCSS: 2.MD.4)

#### G24.2a.i

Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. (CCSS: 2.MD.1)

#### G24.2a.ii

Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen. (CCSS: 2.MD.2)

#### G24.2a.iii

Estimate lengths using units of inches, feet, centimeters, and meters. (CCSS: 2.MD.3)

#### G24.2a.iv

Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit. (CCSS: 2.MD.4)

#### G24.2b

Relate addition and subtraction to length. (CCSS: 2.MD) i. Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units1 and equations with a symbol for the unknown number to represent the problem. (CCSS: 2.MD.5) ii. Represent whole numbers as lengths from 0 on a number line2 diagram and represent whole-number sums and differences within 100 on a number line diagram. (CCSS: 2.MD.6)

#### G24.2b.i

Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units1 and equations with a symbol for the unknown number to represent the problem. (CCSS: 2.MD.5)

#### G24.2b.ii

Represent whole numbers as lengths from 0 on a number line2 diagram and represent whole-number sums and differences within 100 on a number line diagram. (CCSS: 2.MD.6)

#### G24.2c

Solve problems time and money. (CCSS: 2.MD) i. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. (CCSS: 2.MD.7) ii. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using \$ and symbols appropriately.3 (CCSS: 2.MD.8)

#### G24.2c.i

Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. (CCSS: 2.MD.7)

#### G24.2c.ii

Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using \$ and symbols appropriately.3 (CCSS: 2.MD.8)