South Carolina

DPSR Data, Probability, and Statistical Reasoning

• 2.DPSR.1 Create and answer survey questions, collect and analyze data, and communicate through multiple representations.

  • 2.DPSR.1.1 Create a survey question and collect data with up to four categories. Create tally charts, picture graphs, dot plots, and bar graphs with a single-unit scale to read the graph, answer questions, and draw conclusions. Limit to one-step add-to, take-from, part-part-whole, and comparison questions.

    • Which tally chart is correct? (2-FF.1)
    • Interpret tally charts (2-FF.2)
    • Create picture graphs (2-FF.3)
    • Interpret picture graphs (2-FF.4)
    • Create bar graphs (2-FF.7)
    • Interpret bar graphs II (2-FF.9)
    • Which bar graph is correct? (2-FF.10)

MGSR Measurement, Geometry, and Spatial Reasoning

• 2.MGSR.1 Describe, estimate, measure, and compare objects in real-world situations using units of length, weight, currency, and time.

  • 2.MGSR.1.1 Select and use appropriate tools to estimate and measure length of an object or distance to the nearest customary unit. Limit to inches, feet, and yards.

    • Measure using an inch ruler (2-GG.2)
    • Estimate lengths with inches and feet (2-GG.4)
    • Estimate lengths with inches, feet, and yards (2-GG.5)
    • Which customary unit of length is appropriate: inches, feet, or yards? (2-GG.8)
    • Choose the best measuring tool: customary units of length (2-GG.9)

  • 2.MGSR.1.2 Use analog and digital clocks to tell and record time in five-minute intervals, identifying AM and PM.

    • Match digital clocks and times (2-DD.1)
    • Match analog clocks and times (2-DD.2)
    • Match analog and digital clocks (2-DD.3)
    • Read clocks and write times: hour and half hour (2-DD.4)
    • Read clocks and write times (2-DD.5)
    • A.M. or P.M. (2-DD.6)

  • 2.MGSR.1.3 Determine the value of mixed sets of coins or bills in mathematical and real-world situations and record the value using a ¢ or $ symbol. Limit to pennies, nickels, dimes, and quarters up to a dollar; one-dollar bills, five-dollar bills, ten-dollar bills, and twenty-dollar bills up to $100, and add-to or take-from problem types.

    • Count money up to $1 (2-AA.5)
    • Add money up to $1 (2-BB.1)
    • Add money up to $1: word problems (2-BB.2)
    • Subtract money up to $1 (2-BB.3)
    • Subtract money up to $1: word problems (2-BB.4)
    • Add and subtract money up to $1 (2-BB.5)
    • Add and subtract money up to $1: word problems (2-BB.6)
    • Count money up to $100 - bills (2-CC.4)

• 2.MGSR.2 Analyze, describe, and manipulate shapes to make sense of their relationships in mathematical and real-world situations.

  • 2.MGSR.2.1 Identify and describe a given shape in everyday situations to include two-dimensional shapes and three-dimensional shapes. Limit to triangle, quadrilateral, pentagon, hexagon, octagon, circle, cone, cube, cylinder, rectangular prism, square pyramid, and sphere.

    • Name the three-dimensional shape (2-JJ.3)
    • Identify faces of three-dimensional shapes (2-JJ.6)
    • Identify shapes traced from solids (2-JJ.7)
    • Three-dimensional shapes in the real world I (2-JJ.9)
    • Three-dimensional shapes in the real world II (2-JJ.10)
    • Name polygons: up to 8 sides (2)
    • Classify polygons: up to 8 sides (2)

  • 2.MGSR.2.2 Classify shapes as polygons or non-polygons and defend that determination based on their attributes.

    • Curved parts (2)
    • Open and closed shapes (2)
    • Is it a polygon? (2)

  • 2.MGSR.2.3 Classify two-dimensional shapes as triangles or quadrilaterals and justify each classification.

    • Identify triangles and quadrilaterals (2)

NR Numerical Reasoning

• 2.NR.1 Represent multi-digit numbers in a variety of ways to build place value understanding.

  • 2.NR.1.1 Read, write, and represent numbers up to 999 using concrete models, drawings, standard form, base ten language, and equations in expanded form.

    • Spell word names for numbers up to 20 (2-D.1)
    • Writing numbers up to 100 in words - convert words to digits (2-D.2)
    • Writing numbers up to 100 in words - convert digits to words (2-D.3)
    • Writing numbers up to 1,000 in words - convert words to digits (2-D.4)
    • Writing numbers up to 1,000 in words - convert digits to words (2-D.5)
    • Place value models - up to hundreds (2-L.2)
    • Convert from expanded form - up to hundreds (2-L.14)

  • 2.NR.1.2 Represent and explain that whole numbers 1 through 999 are organized into groups of hundreds, tens, and ones, and a digit has a different value depending on its placement.

    • Identify a digit up to the hundreds place (2-L.4)
    • Value of a digit - up to hundreds (2-L.6)
    • Convert to/from a number - up to hundreds (2-L.11)
    • Convert between place values - ones, tens, and hundreds (2-L.13)

  • 2.NR.1.3 Compose and decompose whole numbers from 1 through 999 in more than one way using hundreds, tens, and ones. Explain and demonstrate each composition or decomposition with the use of concrete models, drawings, and equations.

    • Regroup hundreds, tens, and ones - ways to make a number (2-L.16)

  • 2.NR.1.4 Apply place value reasoning to identify the number that is 10 more, 10 less, 100 more, and 100 less than a given three-digit number through 999.

    • Ten more or less (2)
    • Add 10 or 100 to a three-digit number (2-T.1)
    • Subtract 10 or 100 from a three-digit number (2-V.1)
    • Input/output tables - add and subtract by 10 (2)

• 2.NR.2 Explain the relationship between numbers and quantities.

  • 2.NR.2.1 Count forward and backward by ones, tens, and hundreds from any number within 999 and identify patterns in the sequence.

    • Skip-count by tens (2-C.3)
    • Count forward by tens - up to 1,000 (2-C.11)
    • Count forward and backward by ones, tens, and hundreds (2)

• 2.NR.3 Demonstrate the ability to compare quantities of objects and numerals representing quantities of objects.

  • 2.NR.3.1 Compare representations of whole numbers up to 999 and write a comparison statement using words and symbols. Limit to is equal to (=), is less than (<), and/or is greater than (>).

    • Compare numbers up to 1,000 using number lines (2-B.)
    • Comparing numbers up to 1,000 (2-B.3)

  • 2.NR.3.2 When given a two-digit number, identify which multiple of 10 the number is closest to.

    • Round to the nearest ten using a number line (2)

• 2.NR.4 Represent and compare partitioned shapes in multiple ways using part-whole relationships.

  • 2.NR.4.1 Partition in multiple ways squares, rectangles, and circles into two or four equal sized parts, and describe the parts using the words halves, fourths, a half of, and a fourth of (not quarters).

    • Identify halves (2-LL.2)
    • Identify fourths (2-LL.4)
    • Make halves (2-LL.6)
    • Make fourths (2-LL.8)
    • Make halves in different ways (2)
    • Make fourths in different ways (2)

  • 2.NR.4.2 Explain that when partitioning a square, rectangle, or circle into two or four equal parts, the parts become smaller as the number of parts increases.

    • Equal parts (2-LL.1)

PAFR Patterns, Algebra, and Functional Reasoning

• 2.PAFR.1 Understand and apply properties of operations and the relationship between addition and subtraction to solve problems.

  • 2.PAFR.1.1 Use a strategy to accurately find sums and differences of two-digit numbers within 100 and justify the sum or difference.

    • Break apart a two-digit number to add - sums to 100 (2-M.5)
    • Use compensation to add on a number line - up to two digits (2-M.6)
    • Use models to add two-digit numbers - without regrouping (2-M.8)
    • Use place value to add two-digit numbers - without regrouping (2-M.10)
    • Use place value to add two-digit numbers - with regrouping (2-M.11)
    • Break apart a two-digit number to subtract (2-O.5)
    • Use compensation to subtract on a number line - up to two digits (2-O.6)
    • Use compensation to subtract - up to two digits (2-O.7)
    • Use models to subtract two-digit numbers - without regrouping (2-O.9)
    • Use models to subtract two-digit numbers - with regrouping (2-O.10)
    • Use place value to subtract two-digit numbers - without regrouping (2-O.11)
    • Use place value to subtract two-digit numbers - with regrouping (2-O.12)
    • Estimate sums (2-Z.4)
    • Estimate differences (2-Z.5)

  • 2.PAFR.1.2 Determine and explain if an equation (within 20) is true using a variety of equation formats.

    • Which addition sentence is true? - sums to 20 (2-G.8)
    • Which subtraction sentence is true? - up to 20 (2-I.7)
    • Which addition or subtraction sentence is true? - up to 20 (2-J.5)

  • 2.PAFR.1.3 Solve one-step add-to, take-from, part-part-whole, and additive comparison real-world situations through 99 with the unknown in any position.

    • Addition word problems - sums to 20 (2-G.4)
    • Addition sentences for word problems - sums to 20 (2-G.5)
    • Subtraction word problems - up to 20 (2-I.3)
    • Subtraction sentences for word problems - up to 20 (2-I.4)
    • Comparison word problems - up to 20 (2-K.1)
    • Use models to solve addition and subtraction word problems - up to 20 (2-K.2)
    • Addition and subtraction word problems - up to 20 (2-K.3)
    • Write number sentences for word problems - up to 20 (2-K.4)
    • Match word problems to addition and subtraction sentences - up to 20 (2-K.5)
    • Solve word problems using guess-and-check - up to 20 (2-K.7)
    • Addition word problems - up to two digits (2-N.8)
    • Write the addition sentence - up to two digits (2-N.11)
    • Addition word problems - three numbers up to two digits each (2-N.16)
    • Addition word problems - four numbers up to two digits each (2-N.19)
    • Subtraction word problems - up to two digits (2-P.10)
    • Write the subtraction sentence - up to two digits (2-P.12)
    • Use models to solve addition and subtraction word problems - up to 100 (2-R.1)
    • Addition and subtraction word problems - up to 100 (2-R.2)
    • Customary units of length: word problems (2-GG.11)

  • 2.PAFR.1.4 For any number from 0 to 99, find the number that makes 100 when added to the given number.

    • Complete the addition sentence - make 100 (2)

  • 2.PAFR.1.5 Add and subtract number combinations flexibly and accurately within 20.

    • Add doubles (2-F.2)
    • Add doubles - complete the sentence (2-F.3)
    • Add near doubles (2-F.4)
    • Add by counting on - sums to 20 (2-F.6)
    • Make ten to add (2-F.7)
    • Add zero (2-F.8)
    • Add one-digit numbers - sums to 10 (2-G.1)
    • Add one-digit numbers - sums to 20 (2-G.2)
    • Sort addition facts - sums to 20 (2-G.3)
    • Complete the addition sentence - sums to 20 (2-G.6)
    • Which addition sentence is true? - sums to 20 (2-G.8)
    • Add three one-digit numbers (2-G.9)
    • Subtract doubles (2-H.1)
    • Subtract by counting back - up to 20 (2-H.3)
    • Use ten to subtract (2-H.4)
    • Subtract by counting on - up to 20 (2-H.5)
    • Count on and use ten to subtract - up to 20 (2-H.6)
    • Subtract zero or all (2-H.7)
    • Subtract one-digit numbers - up to 10 (2-I.1)
    • Subtract a one-digit number from a two-digit number up to 20 (2-I.2)
    • Complete the subtraction sentence - up to 20 (2-I.5)
    • Which subtraction sentence is true? - up to 20 (2-I.7)
    • Addition and subtraction - up to 20 (2-J.2)
    • Ways to make a number using addition and subtraction - up to 20 (2-J.3)
    • Which addition or subtraction sentence is true? - up to 20 (2-J.5)
    • Add in any order (2-Y.1)
    • Ways to make a number using addition - sums to 10 (2)
    • Ways to make a number using subtraction - up to 10 (2)

  • 2.PAFR.1.6 Apply the Associative Property of Addition to find the sum (through 20) of three addends and explain that the value can be found using various grouping strategies.

    • Add three one-digit numbers (2-G.9)

  • 2.PAFR.1.7 Determine the unknown number in addition and subtraction equations within 20, with the unknown in any position.

    • Complete the addition sentence - sums to 20 (2-G.6)
    • Complete the subtraction sentence - up to 20 (2-I.5)

  • 2.PAFR.1.8 Sort a collection of 20 or fewer objects into two groups to determine if the number of objects is even or odd.

    • Even or odd number of shapes - up to 20 (2-E.1)

  • 2.PAFR.1.9 Find the total number of objects arranged in equal groups or in a rectangular array and write an addition equation to express the total as a sum (up to 25) of equal addends.

    • Identify repeated addition for equal groups - sums to 25 (2-X.2)
    • Write addition sentences for equal groups - sums to 25 (2-X.3)
    • Identify repeated addition for arrays - sums to 25 (2-X.4)
    • Write addition sentences for arrays - sums to 25 (2-X.5)
    • Solve word problems using repeated addition - sums to 25 (2-X.6)
    • Write stories involving repeated addition - sums to 25 (2-X.7)
    • Identify repeated addition for arrays - sums to 10 (2)
    • Write addition sentences for arrays - sums to 10 (2)

• 2.PAFR.2 Recognize, describe, extend, and create patterns.

  • 2.PAFR.2.1 Describe, extend, and create a growing shape pattern with up to three terms within a sequence.

    • Growing patterns (2)
    • Find the next shape in a growing pattern (2)
    • Find the next row in a growing pattern (2)

  • 2.PAFR.2.2 Create, describe, and extend an appropriate one-step rule for number patterns using addition and subtraction within 100.

    • Write the addition or subtraction rule for an input/output table - up to 20 (2-J.6)
    • Write the addition or subtraction rule for an input/output table - up to 100 (2)