Colorado

2.1 Number and Quantity

• 2.NBT.A Number & Operations in Base Ten: Understand place value.

  • 2.NBT.A.1 Understand that the two digits of a two-digit number represent amounts of tens and ones; e.g., 37 equals 3 tens and 7 ones.

    • Hundred chart (1-A.10)
    • Build and break apart two-digit numbers - with models (1-AA.5)
    • Place value models for two-digit numbers (1-AA.6)
    • Build and break apart two-digit numbers - without models (1-AA.7)

    • 2.NBT.A.1.a Understand the following as special cases: 10 can be thought of as a bundle or ten ones, called and ten, and the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, and nine tens.

      • Build and break apart multiples of ten (1-AA.3)

    • 2.NBT.A.1.b Decompose numbers less than 20 in more than one way.

      • Make and take apart teen numbers: tens and ones (1)
      • Make teen numbers: addition sentences (1)
      • Take apart teen numbers: addition sentences (1)
      • Make and take apart teen numbers: addition sentences (1)
      • Build and break apart teen numbers (1-AA.1)
      • Place value models up to 20 (1-AA.2)

  • 2.NBT.A.2 Count within 50.

    • Count on a chart - up to 50 (K-LL.1)
    • Counting review - up to 10 (1-A.1)
    • Counting review - up to 20 (1-A.3)
    • Count on ten frames - up to 40 (1-A.4)
    • Count blocks - up to 50 (K)

    • 2.NBT.A.2.a Skip count by fives and tens.

      • Skip-count by fives (1-C.2)
      • Skip-count by tens (1-C.3)
      • Sequences - count by fives up to 50 (K)

  • 2.NBT.A.3 Understand and represent numbers to 50 with objects, written representations, and/or numerals.

    • Writing numbers with digits and words - up to 40 (2)
    • Place value models - up to 50 (1)

  • 2.NBT.A.4 Compare two two-digit numbers less than or equal to 50 based on the meanings of the tens and ones digits.

    • Use place value to compare numbers up to 40 (1)
    • Compare numbers up to 40 using words (1)

• 2.NBT.B Number & Operations in Base Ten: Use place value understanding and properties of operations to add and subtract.

  • 2.NBT.B.5 Add and subtract within 20 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

    • Add in any order (1-F.1)
    • Add by counting on - sums up to 10 (1-F.2)
    • Addition facts - sums up to 10 (1-G.1)
    • Take apart numbers in different ways - sums up to 10 (1-G.2)
    • Make a number using addition - sums up to 10 (1-G.3)
    • Ways to make a number - addition sentences up to 10 (1-G.4)
    • Subtract zero and all (1-I.9)
    • Subtract by counting back - up to 10 (1-J.1)
    • Subtract by counting on - up to 10 (1-J.2)
    • Relate addition and subtraction sentences - up to 10 (1-J.3)
    • Use addition to subtract - up to 10 (1-J.4)
    • Subtraction facts - up to 10 (1-K.1)
    • Make a number using subtraction - up to 10 (1-K.2)
    • Ways to make a number - subtraction sentences up to 10 (1-K.3)
    • Ways to subtract from a number - subtraction sentences up to 10 (1-K.4)
    • Fact families - up to 10 (1-M.1)
    • Add and subtract with 0 (1-M.2)
    • Addition and subtraction facts - up to 10 (1-M.3)
    • Sort addition and subtraction facts - up to 10 (1-M.4)
    • Related addition facts - sums up to 10 (1)
    • Related addition facts (1-P.1)
    • Add by counting on - sums up to 20 (1-P.3)
    • Add doubles - with models (1-P.4)
    • Add doubles (1-P.5)
    • Add using doubles plus one (1-P.7)
    • Add using doubles minus one (1-P.8)
    • Add near doubles (1-P.9)
    • Use ten frames to add (1-P.11)
    • Make ten to add (1-P.12)
    • Add three numbers - make ten (1-P.13)
    • Adding 1 (1-Q.1)
    • Adding 2 (1-Q.2)
    • Adding 3 (1-Q.3)
    • Adding 4 (1-Q.4)
    • Adding 5 (1-Q.5)
    • Adding 6 (1-Q.6)
    • Adding 7 (1-Q.7)
    • Adding 8 (1-Q.8)
    • Adding 9 (1-Q.9)
    • Adding 10 (1-Q.10)
    • Adding 0 (1-Q.11)
    • Addition facts - sums up to 20 (1-Q.12)
    • Sort addition facts - sums up to 20 (1-Q.13)
    • Make a number using addition - sums up to 20 (1-Q.14)
    • Related subtraction facts (1-S.1)
    • Relate addition and subtraction sentences - up to 20 (1-S.2)
    • Subtract by counting back - up to 20 (1-S.4)
    • Subtracting to and from 10 (1-S.5)
    • Use ten frames to subtract (1-S.6)
    • Use ten to subtract (1-S.7)
    • Use addition to subtract - up to 20 (1-S.8)
    • Subtract by counting on - up to 20 (1-S.9)
    • Count on and use ten to subtract - up to 20 (1-S.10)
    • Subtract doubles (1-S.11)
    • Subtracting 1 (1-T.1)
    • Subtracting 2 (1-T.2)
    • Subtracting 3 (1-T.3)
    • Subtracting 4 (1-T.4)
    • Subtracting 5 (1-T.5)
    • Subtracting 6 (1-T.6)
    • Subtracting 7 (1-T.7)
    • Subtracting 8 (1-T.8)
    • Subtracting 9 (1-T.9)
    • Subtracting 10 (1-T.10)
    • Subtracting 0 (1-T.11)
    • Subtraction facts - up to 20 (1-T.12)
    • Sort subtraction facts - up to 20 (1-T.13)
    • Make a number using subtraction - up to 20 (1-T.14)
    • Addition and subtraction facts - up to 20 (1-V.1)
    • Addition and subtraction - ways to make a number (1-V.2)
    • Fact families - up to 20 (1)
    • Add doubles with models - sums up to 10 (1)
    • Add doubles - sums up to 10 (1)
    • Subtract doubles - up to 10 (1)

  • 2.NBT.B.6 Add up to three two-digit numbers using strategies based on place value and properties of operations.

  • 2.NBT.B.7 Add and subtract within 50, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

    • Use models to add a two-digit and a one-digit number - without regrouping - sums to 40 (1)
    • Use models to add a two-digit and a one-digit number - with regrouping - sums to 40 (1)
    • Add a one-digit number to a two-digit number - with regrouping - sums to 40 (1)
    • Add a one-digit number to a two-digit number - without regrouping - sums to 40 (1)
    • Use models to add a multiple of ten and a two-digit number - up to 40 (1)
    • Use ten to add a multiple of ten and a two-digit number - up to 40 (1)
    • Add two-digit numbers without regrouping - sums to 40 (1)
    • Add two-digit numbers with regrouping - sums to 40 (1)
    • Use models to subtract a one-digit number from a two-digit number - without regrouping - up to 40 (1)
    • Use models to subtract a one-digit number from a two-digit number - with regrouping - up to 40 (1)
    • Subtract a one-digit number from a two-digit number - without regrouping - up to 40 (1)
    • Subtract a one-digit number from a two-digit number - with regrouping - up to 40 (1)
    • Subtract two two-digit numbers - without regrouping - up to 40 (1)
    • Subtract two two-digit numbers - with regrouping - up to 40 (1)
    • Add and subtract one-digit and two-digit numbers - up to 40 (1)

    • 2.NBT.B.7.a Relate the strategy to a written method.

    • 2.NBT.B.7.b Understand that in adding or subtracting two-digit numbers, one adds or subtracts tens and tens, ones and ones, and sometimes it is necessary to compose or decompose tens.

  • 2.NBT.B.8 Mentally add 1 or 10 to a given number 1-50, and mentally subtract 1 or 10 from a given number 1-50.

    • One or ten more/less - up to 50 (1)

  • 2.NBT.B.9 Demonstrate an understanding of the meanings of symbols in addition and subtraction situations, including the "+" sign (i.e., combine, plus, add), "–" sign (i.e., separate, subtract, take away), and "=" sign (equal).

    • Write addition and subtraction sentences (2-Q.9)

2.2 Algebra and Functions

• 2.OA.A Operations & Algebraic Thinking: Represent and solve problems involving addition and subtraction.

  • 2.OA.A.1 Use addition and subtraction within 20 to solve one-and two-step word problems involving situations or adding to, taking from, putting together, taking apart, and comparing by using objects, drawings, or other written methods.

    • Subtraction sentences for "take apart" word problems - up to 10 (1-L.6)
    • Comparison word problems up to 10: what is the larger amount? (1-N.7)
    • Comparison word problems up to 10: what is the smaller amount? (1-N.8)
    • Comparison word problems up to 10 (1-N.9)
    • Word problems with change unknown - up to 10 (1-O.5)
    • Word problems with start unknown - up to 10 (1-O.6)
    • Word problems with one addend unknown - up to 10 (1-O.7)
    • Word problems with both addends unknown - up to 10 (1-O.8)
    • Word problems involving addition and subtraction - up to 10 (1-O.9)
    • Match word problems to addition and subtraction sentences - up to 10 (1-O.10)
    • Addition word problems with models - sums up to 20 (1-R.1)
    • Addition word problems - sums up to 20 (1-R.2)
    • Addition sentences for word problems - sums up to 20 (1-R.3)
    • Subtraction word problems with models - up to 20 (1-U.1)
    • Subtraction word problems - up to 20 (1-U.2)
    • Subtraction sentences for word problems - up to 20 (1-U.3)
    • Comparison word problems up to 20: how many more or fewer? (1-W.1)
    • Comparison word problems up to 20: what is the larger amount? (1-W.2)
    • Comparison word problems up to 20: what is the smaller amount? (1-W.3)
    • Comparison word problems up to 20: part 1 (1-W.4)
    • Comparison word problems up to 20: part 2 (1-W.5)
    • Word problems with sum or difference unknown - up to 20 (1-X.1)
    • Addition and subtraction sentences for word problems - up to 20 (1-X.2)
    • Word problems with change unknown - up to 20 (1-X.3)
    • Word problems with start unknown - up to 20 (1-X.5)
    • Word problems with one addend unknown - up to 20 (1-X.7)
    • Word problems with both addends unknown - up to 20 (1-X.9)
    • Use models to solve word problems involving addition and subtraction - up to 20 (1-X.10)
    • Word problems involving addition and subtraction without comparisons - up to 20 (1-X.11)
    • Word problems involving addition and subtraction - up to 20 (1-X.13)
    • Match word problems to addition and subtraction sentences - up to 20 (1-X.15)
    • Two-step addition and subtraction word problems - up to 20 (2-K.6)

• 2.OA.B Operations & Algebraic Thinking: Add and subtract within 20.

  • 2.OA.B.2 Add and subtract within 10 using mental strategies.

    • Vertical addition - sums up to 10 (K)
    • Vertical subtraction - numbers up to 10 (K)
    • Addition and subtraction - ways to make a number up to 10 (1)
    • Add by counting on - sums up to 10 (1-F.2)
    • Addition facts - sums up to 10 (1-G.1)
    • Subtract by counting back - up to 10 (1-J.1)
    • Subtract by counting on - up to 10 (1-J.2)
    • Sort addition and subtraction facts - up to 10 (1-M.4)
    • Addition and subtraction sentences to 10: which is true? (1-Y.1)
    • Complete the addition sentence - sums up to 10 (1-Z.1)
    • Add one-digit numbers - sums to 10 (2-G.1)
    • Subtract one-digit numbers - up to 10 (2-I.1)
    • Add in any order (2-Y.1)
    • Ways to make a number using addition - sums to 10 (2)
    • Add doubles - sums up to 10 (1)
    • Add using doubles plus one - sums up to 10 (1)
    • Addition sentences to 10: which is true? (1)
    • Add three numbers - sums less than 10 (1)
    • Ways to make a number using subtraction - up to 10 (2)
    • Subtract doubles - up to 10 (1)

• 2.OA.C Operations & Algebraic Thinking: Work with equal groups of objects to gain foundations for multiplication.

  • 2.OA.C.3 Determine whether a group of objects (up to 10) has an odd or even number of members, e.g., by pairing objects or counting them by 2s.

    • Even or odd: up to 10 (K)

  • 2.OA.C.4 Use addition to find the total number of objects arranged within equal groups up to a total of 10.

    • Identify repeated addition for arrays - sums to 10 (2)
    • Write addition sentences for arrays - sums to 10 (2)

2.3 Data, Statistics, and Probability

• 2.MD.A Measurement & Data: Measure and estimate lengths in standard units.

  • 2.MD.A.1 Identify appropriate tools for measuring length, such as rules, yardsticks, meter sticks, and measuring tapes.

    • Choose the best measuring tool: customary units of length (2-GG.9)
    • Choose the best measuring tool: metric units of length (2-HH.6)

  • 2.MD.A.2 Measure the length of an object using a tool marked with whole-number standard units, such as a ruler marked only for whole inches.

    • Measure using an inch ruler (2-GG.2)
    • Measure using a centimeter ruler - up to 10 centimeters (2)

  • 2.MD.A.3 Estimate lengths using non-standard units.

  • 2.MD.A.4 Compare the lengths of two objects indirectly by using a third object.

• 2.MD.B Measurement & Data: Relate addition and subtraction to length.

  • 2.MD.B.5 Use addition and subtraction within 20 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers).

    • Customary units of length: word problems (1-EE.12)
    • Metric units of length: word problems (1-EE.14)
    • Compare lengths (1)

  • 2.MD.B.6 Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2…, and represent whole-number sums and differences within 20 on a number line diagram.

    • Number lines - up to 20 (K-GG.4)
    • Before, after, and between on a number line - up to 20 (K)
    • Addition sentences using number lines - sums to 20 (2-F.5)
    • Subtraction sentences using number lines - up to 20 (2-H.2)
    • Addition and subtraction sentences using number lines - up to 20 (2-J.1)

• 2.MD.C Measurement & Data: Work with time and money.

  • 2.MD.C.7 Tell time on analog and digital clocks to the nearest hour.

    • Read clocks and write times (K-XX.3)
    • Match analog and digital clocks: to the hour (1-FF.2)
    • Match analog clocks and times with words: to the hour (1-FF.3)
    • Match digital clocks and times (K)

  • 2.MD.C.8 Identify and sort coins (quarters, dimes, nickels, and pennies) and understand that money has value.

    • Coin names - penny through quarter (K-YY.1)
    • Coin values - penny through quarter (K-YY.2)

• 2.MD.D Measurement & Data: Represent and interpret data.

  • 2.MD.D.9 Generate measurement data by measuring lengths of several objects to the nearest whole unit.

    • Measure using an inch ruler (2-GG.2)
    • Measure using a centimeter ruler (2-HH.1)

    • 2.MD.D.9.a Match the measurement data to a given line plot, where the horizontal scale is marked off in whole-number units

      • Complete a line plot (2)

  • 2.MD.D.10 Create a picture graph to represent a data set with two categories.

2.4 Geometry

• 2.G.A Geometry: Reason with shapes and their attributes.

  • 2.G.A.1 Recognize and create circles, squares, rectangles, and triangles having specified attributes, such as a given number of angles or a given number of faces.

    • Count sides and vertices (2-II.1)
    • Identify circles, triangles, squares, and rectangles (1)
    • Select circles, triangles, squares, and rectangles (1)

  • 2.G.A.2 Partition a rectangle into up to 5 rows and up to 5 columns of same-size squares and count to find the total number of them.

    • Tile a rectangle with squares (2-KK.1)
    • Count the number of squares in a rectangle (2-KK.2)

  • 2.G.A.3 Partition circles and rectangles into two or four equal shares, describe the shares using the words halves and quarters, and describe the whole as two halves.

    • Equal parts - 2 and 4 equal parts (1-NN.1)
    • Identify halves (2-LL.2)
    • Identify fourths (2-LL.4)
    • Make halves (2-LL.6)
    • Make fourths (2-LL.8)