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2nd Grade Math Standards
2.1.1 Compare and represent whole numbers up to 1000 with an emphasis on place value and equality.
2.1.1.1 Read, write and represent whole numbers up to 1000. Representations may include numerals, addition, subtraction, multiplication, words, pictures, tally marks, number lines and manipulatives, such as bundles of sticks and base 10 blocks.
Counting and number patterns: Number lines - up to 100 (Second grade - A.4)
Counting and number patterns: Number lines - up to 1,000 (Second grade - A.11)
Counting and number patterns: Counting patterns - up to 1,000 (Second grade - A.12)
Names of numbers: Writing numbers up to 100 in words (Second grade - C.3)
Names of numbers: Writing numbers up to 1,000 in words (Second grade - C.4)
2.1.1.2 Use place value to describe whole numbers between 10 and 1000 in terms of hundreds, tens and ones. Know that 100 is 10 tens, and 1000 is 10 hundreds.
Place values: Place value models - tens and ones (Second grade - M.1)
Place values: Place value models - up to hundreds (Second grade - M.2)
Place values: Place value models - up to thousands (Second grade - M.3)
Place values: Value of underlined digit - tens and ones (Second grade - M.4)
Place values: Value of underlined digit - up to hundreds (Second grade - M.5)
Place values: Value of underlined digit - up to thousands (Second grade - M.6)
Place values: Regrouping tens and ones I (Second grade - M.7)
Place values: Regrouping tens and ones II (Second grade - M.8)
Place values: Convert to/from a number - tens and ones (Second grade - M.9)
Place values: Convert to/from a number - up to hundreds (Second grade - M.10)
Place values: Convert to/from a number - up to thousands (Second grade - M.11)
Place values: Convert between place values - up to thousands (Second grade - M.12)
Place values: Identify the digit in the ones, tens, hundreds, or thousands place (Second grade - M.15)
2.1.1.3 Find 10 more or 10 less than a given three-digit number. Find 100 more or 100 less than a given three-digit number.
Counting and number patterns: Hundreds chart (Second grade - A.5)
2.1.1.4 Round numbers up to the nearest 10 and 100 and round numbers down to the nearest 10 and 100.
Estimation and rounding: Estimate to the nearest ten (Second grade - N.1)
Estimation and rounding: Round to the nearest ten (Second grade - N.2)
Estimation and rounding: Round to the nearest ten or hundred (Second grade - N.3)
Estimation and rounding: Round to the nearest ten, hundred, or thousand (Second grade - N.4)
2.1.1.5 Compare and order whole numbers up to 1000.
Comparing and ordering: Comparing numbers up to 100 (Second grade - B.1)
Comparing and ordering: Inequalities with addition and subtraction - up to 100 (Second grade - B.2)
Comparing and ordering: Comparing numbers up to 1,000 (Second grade - B.3)
Comparing and ordering: Put numbers up to 100 in order (Second grade - B.4)
Comparing and ordering: Put numbers up to 1,000 in order (Second grade - B.5)
Comparing and ordering: Greatest and least - word problems - up to 100 (Second grade - B.6)
Comparing and ordering: Greatest and least - word problems - up to 1,000 (Second grade - B.7)
2.1.2 Demonstrate mastery of addition and subtraction basic facts; add and subtract one- and two-digit numbers in real-world and mathematical problems.
2.1.2.1 Use strategies to generate addition and subtraction facts including making tens, fact families, doubles plus or minus one, counting on, counting back, and the commutative and associative properties. Use the relationship between addition and subtraction to generate basic facts.
Addition: Adding zero (First grade - B.7)
Addition: Adding doubles (First grade - B.8)
Addition: Related addition facts (First grade - B.15)
Subtraction: Subtracting zero and all (First grade - D.8)
Subtraction: Subtracting doubles (First grade - D.9)
Subtraction: Related subtraction facts (First grade - D.14)
Addition - one digit: Addition input/output tables - sums to 20 (Second grade - E.7)
Addition - one digit: Add zero (Second grade - E.8)
Subtraction - one digit: Subtraction input/output tables - up to 18 (Second grade - F.7)
Subtraction - one digit: Subtract zero/all (Second grade - F.8)
Addition - two digits: Add multiples of 10 (Second grade - G.1)
Addition - two digits: Addition input/output tables - up to two digits (Second grade - G.7)
Addition - two digits: Ways to make a number using addition (Second grade - G.8)
Subtraction - two digits: Subtract multiples of 10 (Second grade - H.1)
Subtraction - two digits: Subtraction input/output tables - up to two digits (Second grade - H.7)
Subtraction - two digits: Ways to make a number using subtraction (Second grade - H.8)
Properties: Related addition facts (Second grade - K.1)
Properties: Related subtraction facts (Second grade - K.2)
Properties: Fact families (Second grade - K.3)
2.1.2.2 Demonstrate fluency with basic addition facts and related subtraction facts.
Addition - one digit: Review - add one-digit numbers - sums to 10 (Second grade - E.1)
Addition - one digit: Review - ways to make a number - sums to 10 (Second grade - E.2)
Addition - one digit: Review - writing addition sentences - sums to 10 (Second grade - E.3)
Addition - one digit: Add one-digit numbers (Second grade - E.4)
Addition - one digit: Addition with pictures - sums to 20 (Second grade - E.5)
Addition - one digit: Write addition sentences to describe pictures - sums to 20 (Second grade - E.6)
Subtraction - one digit: Review - subtract one-digit numbers - up to 10 (Second grade - F.1)
Subtraction - one digit: Review - ways to subtract - up to 10 (Second grade - F.2)
Subtraction - one digit: Review - writing subtraction sentences - up to 10 (Second grade - F.3)
Subtraction - one digit: Subtract a one-digit number from a two-digit number up to 18 (Second grade - F.4)
Subtraction - one digit: Subtraction with pictures (Second grade - F.5)
Subtraction - one digit: Write subtraction sentences to describe pictures - up to 18 (Second grade - F.6)
2.1.2.3 Estimate sums and differences up to 100.
Estimation and rounding: Estimate sums (Second grade - N.5)
2.1.2.4 Use mental strategies and algorithms based on knowledge of place value to add and subtract two-digit numbers. Strategies may include decomposition, expanded notation, and partial sums and differences.
Addition - two digits: Add a two-digit and a one-digit number - without regrouping (Second grade - G.2)
Addition - two digits: Add two two-digit numbers - without regrouping (Second grade - G.4)
Addition - two digits: Write addition sentences to describe pictures (Second grade - G.6)
Subtraction - two digits: Subtract a one-digit number from a two-digit number - without regrouping (Second grade - H.2)
Subtraction - two digits: Subtract two two-digit numbers - without regrouping (Second grade - H.4)
Subtraction - two digits: Write subtraction sentences to describe pictures - up to two digits (Second grade - H.6)
2.1.2.5 Solve real-world and mathematical addition and subtraction problems involving whole numbers with up to 2 digits.
Addition - one digit: Addition word problems - one digit (Second grade - E.9)
Subtraction - one digit: Subtraction word problems - up to 18 (Second grade - F.9)
Addition - two digits: Addition word problems - up to two digits (Second grade - G.9)
Subtraction - two digits: Subtraction word problems - up to two digits (Second grade - H.9)
2.1.2.6 Use addition and subtraction to create and obtain information from tables, bar graphs and tally charts.
Data and graphs: Interpret bar graphs (Second grade - R.2)
Data and graphs: Which bar graph is correct? (Second grade - R.3)
Data and graphs: Interpret line plots (Second grade - R.4)
Data and graphs: Interpret pictographs (Second grade - R.6)
Data and graphs: Interpret line graphs (Second grade - R.8)
Data and graphs: Which line graph is correct? (Second grade - R.9)
2.2 Algebra
2.2.1 Recognize, create, describe, and use patterns and rules to solve real-world and mathematical problems.
2.2.1.1 Identify, create and describe simple number patterns involving repeated addition or subtraction, skip counting and arrays of objects such as counters or tiles. Use patterns to solve problems in various contexts.
Counting and number patterns: Skip-counting (Second grade - A.1)
Counting and number patterns: Skip-counting sequences (Second grade - A.2)
Counting and number patterns: Counting patterns - up to 100 (Second grade - A.3)
Counting and number patterns: Skip-counting stories (Second grade - A.9)
Counting and number patterns: Skip-counting puzzles (Second grade - A.10)
Patterns: Repeating patterns (Second grade - D.1)
Patterns: Growing patterns (Second grade - D.2)
Patterns: Describe patterns (Second grade - D.3)
2.2.2 Use number sentences involving addition, subtraction and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentences.
2.2.2.1 Understand how to interpret number sentences involving addition, subtraction and unknowns represented by letters. Use objects and number lines and create real-world situations to represent number sentences.
Addition - one digit: Complete the addition sentence - one digit (Second grade - E.10)
Addition - one digit: Write the addition sentence - one digit (Second grade - E.11)
Subtraction - one digit: Complete the subtraction sentence - up to 18 (Second grade - F.10)
Subtraction - one digit: Write the subtraction sentence - up to 18 (Second grade - F.11)
Addition - two digits: Complete the addition sentence - up to two digits (Second grade - G.10)
Addition - two digits: Write the addition sentence - up to two digits (Second grade - G.11)
Subtraction - two digits: Complete the subtraction sentence - up to two digits (Second grade - H.10)
Subtraction - two digits: Write the subtraction sentence - up to two digits (Second grade - H.11)
2.2.2.2 Use number sentences involving addition, subtraction, and unknowns to represent given problem situations. Use number sense and properties of addition and subtraction to find values for the unknowns that make the number sentences true.
Addition - one digit: Balance addition equations - one digit (Second grade - E.12)
Subtraction - one digit: Balance subtraction equations - up to 18 (Second grade - F.12)
Addition - two digits: Balance addition equations - up to two digits (Second grade - G.12)
Subtraction - two digits: Balance subtraction equations - up to two digits (Second grade - H.12)
Mixed operations: Addition and subtraction - ways to make a number - up to 20 (Second grade - L.2)
Mixed operations: Addition and subtraction - balance equations - up to 20 (Second grade - L.4)
Mixed operations: Which sign (+ or -) makes the number sentence true? (Second grade - L.11)
Mixed operations: Write addition and subtraction sentences (Second grade - L.12)
2.3 Geometry & Measurement
2.3.1 Identify, describe and compare basic shapes according to their geometric attributes.
2.3.1.1 Describe, compare, and classify two- and three-dimensional figures according to number and shape of faces, and the number of sides, edges and vertices (corners).
Geometry: Compare sides, vertices, edges, and faces (Second grade - T.2)
Geometry: Count sides, vertices, edges, and faces (Second grade - T.3)
2.3.1.2 Identify and name basic two- and three-dimensional shapes, such as squares, circles, triangles, rectangles, trapezoids, hexagons, cubes, rectangular prisms, cones, cylinders and spheres.
Geometry: Identify planar and solid shapes (Second grade - T.1)
2.3.2 Understand length as a measurable attribute; use tools to measure length.
2.3.2.1 Understand the relationship between the size of the unit of measurement and the number of units needed to measure the length of an object.
Measurement: Compare and convert customary units of volume (Second grade - S.6)
Measurement: Compare and convert metric units of volume (Second grade - S.11)
Measurement: Compare and convert metric units of weight (Second grade - S.12)
2.3.2.2 Demonstrate an understanding of the relationship between length and the numbers on a ruler by using a ruler to measure lengths to the nearest centimeter or inch.
Measurement: Which customary unit of length is appropriate? (Second grade - S.2)
Measurement: Choose the appropriate measuring tool (Second grade - S.13)
2.3.3 Use time and money in real-world and mathematical situations.
2.3.3.1 Tell time to the quarter-hour and distinguish between a.m. and p.m.
Time: Reading clocks (Second grade - Q.2)
Time: Time words: o'clock, half, quarter (Second grade - Q.3)
Time: Match clocks and times (Second grade - Q.4)
Time: Match analog and digital clocks (Second grade - Q.5)
Time: A.M. and P.M. (Second grade - Q.7)
Time: Compare clocks (Second grade - Q.8)
2.3.3.2 Identify pennies, nickels, dimes and quarters. Find the value of a group of coins and determine combinations of coins that equal a given amount.
Money: Identify names and values of common coins (Second grade - P.1)
Money: Identify names and values of all coins (Second grade - P.2)
Money: Count money - up to $1 (Second grade - P.3)
Money: Equivalent amounts of money - up to $1 (Second grade - P.5)
Money: Equivalent coins I (Second grade - P.6)
Money: Equivalent coins II (Second grade - P.7