2nd grade Math Curriculum

2nd grade Math Units

Open any unit to see the full lesson path. The summaries below are rendered in static HTML for clear curriculum discovery.

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  1

  Unit 1

  Numbers to 1,000: place value and forms

  Students build strong number sense to 1,000 using place value, number names, and multiple representations. The unit blends daily practice with visual models and clear structure.

  Hundreds, tens, and onesStandard, expanded, and word formCount and skip-count within 1,000

  First steps

  1. 1Build 3-digit numbers
  2. 2Match numbers and models
  3. 3Write numbers from place value
  4. 4Compare 3-digit numbers
  5. 5Order numbers to 1,000
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  2

  Unit 2

  Compare, round, estimate, and use mental math

  Students compare numbers, use benchmarks, and develop flexible mental strategies. The unit supports reasonableness and efficient thinking before formal computation.

  Compare and order numbersRound and estimateMental math strategies

  First steps

  1. 1Use >, <, and =
  2. 2Order sets of numbers
  3. 3Compare to benchmarks
  4. 4Reason about number size
  5. 5Mixed comparison review
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  3

  Unit 3

  Addition within 100: facts, strategies, and fluency

  Students build addition fluency within 100 through fact strategies, regrouping, and problem solving. Lessons move from concrete models to efficient written methods.

  Addition facts and near factsAdd two-digit numbers within 100

  First steps

  1. 1Use doubles and near doubles
  2. 2Use make-ten facts
  3. 3Add tens and near tens
  4. 4Use fact family connections
  5. 5Fact strategy review
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  4

  Unit 4

  Subtraction within 100: strategies, regrouping, and fluency

  Students subtract within 100 using place value, related facts, and regrouping. The sequence emphasizes meaning and efficient methods with consistent review.

  Subtraction facts and related additionSubtract two-digit numbers within 100

  First steps

  1. 1Use related addition facts
  2. 2Count back and count up
  3. 3Subtract tens and near tens
  4. 4See subtraction as distance
  5. 5Subtraction fact review
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  5

  Unit 5

  Addition and subtraction within 1,000

  Students extend place-value methods to 3-digit numbers. They add and subtract with conceptual models, written methods, and reasonableness checks.

  Add 3-digit numbersSubtract 3-digit numbers

  First steps

  1. 1Add 3-digit numbers without regrouping
  2. 2Regroup ones when adding
  3. 3Regroup in more than one place
  4. 4Estimate before solving
  5. 5Solve 3-digit addition stories
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  6

  Unit 6

  Two-step word problems: addition, subtraction, and bar models

  Students solve one-step and two-step addition and subtraction problems using bar models, equations, and clear reasoning. This unit strengthens communication and mathematical reasoning.

  Use bar models for one-step problemsTwo-step addition and subtraction problems

  First steps

  1. 1Identify join, separate, and compare stories
  2. 2Draw simple bar models
  3. 3Solve one-step problems with bar models
  4. 4Write equations for stories
  5. 5Explain the model choice
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  7

  Unit 7

  Multiplication: equal groups, arrays, and repeated addition

  Students build the meaning of multiplication through equal groups, arrays, skip-counting, and repeated addition. The focus is conceptual and in-grade, not rote fact acceleration.

  Understand multiplication as equal groupsUse arrays and rows

  First steps

  1. 1Recognize equal groups
  2. 2Write repeated addition
  3. 3Connect groups to multiplication symbols
  4. 4Use skip-counting to multiply
  5. 5Solve equal-group stories
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  8

  Unit 8

  Division: sharing, grouping, and related facts

  Students build the meaning of division through fair sharing and making groups. The unit connects division to subtraction, multiplication, and real stories.

  Understand division as sharing and groupingConnect division and multiplication

  First steps

  1. 1Share equally
  2. 2Make equal groups
  3. 3Use repeated subtraction
  4. 4Match stories to division
  5. 5Solve sharing and grouping stories
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  9

  Unit 9

  Fractions: halves, thirds, fourths, and equal parts

  Students understand fractions as equal parts of a whole and as parts of sets. The emphasis is on visual reasoning, fair shares, and precise language.

  Equal parts of shapesFractions of sets and fair sharing

  First steps

  1. 1Recognize equal and unequal parts
  2. 2Name halves, thirds, and fourths
  3. 3Shade a fraction of a shape
  4. 4Partition shapes into equal parts
  5. 5Review fractions of shapes
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  10

  Unit 10

  Measurement: length, capacity, mass, and comparison

  Students measure and compare using common units and appropriate tools. They also solve practical measurement problems using estimation and data.

  Measure length with common unitsCapacity, mass, and other attributes

  First steps

  1. 1Measure length with a ruler or unit tool
  2. 2Estimate length
  3. 3Compare lengths
  4. 4Find how much longer or shorter
  5. 5Solve length stories
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  11

  Unit 11

  Time and money: clocks, coins, and real-world problems

  Students tell time to five minutes, use A.M. and P.M., and solve simple elapsed time situations. They also count mixed coins to one dollar, find equivalent amounts, decide if they have enough money, and make change in simple contexts.

  Tell time to five minutesCount money to one dollarAdd, subtract, and make change with money

  First steps

  1. 1Review hour and half hour
  2. 2Read clocks to five minutes
  3. 3Use A.M. and P.M.
  4. 4Match analog and digital times
  5. 5Find simple elapsed time
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  12

  Unit 12

  Geometry: shapes, lines, angles, and composing figures

  Students describe, sort, build, and combine 2D and 3D shapes. They also notice lines, curves, and angle counts in simple figures.

  Describe 2D and 3D shapesCompose and decompose shapes

  First steps

  1. 1Name common 2D shapes
  2. 2Name common 3D shapes
  3. 3Recognize straight lines and curves
  4. 4Count corners and simple angles
  5. 5Sort shapes by attributes
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  13

  Unit 13

  Data, graphs, probability, patterns, and unknowns

  Students represent and interpret data, explore beginner probability, extend patterns, and solve equations with unknowns. The unit highlights connections among representations, operations, and reasoning.

  Read and make data displaysPatterns, equality, unknowns, and chance

  First steps

  1. 1Read picture graphs
  2. 2Read bar graphs
  3. 3Read simple line plots
  4. 4Answer graph comparison questions
  5. 5Represent data in a graph
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  14

  Unit 14

  Mixed operations: one- and two-step problem solving

  Students choose among addition, subtraction, multiplication meaning, and division meaning to solve mixed story problems. The unit includes required two-step structures and reasoning with one- and two-digit numbers.

  Choose the correct operation in one-step storiesTwo-step mixed-operation problems

  First steps

  1. 1Sort stories by operation
  2. 2Solve mixed one-step problems
  3. 3Use models to support operation choice
  4. 4Check reasonableness in mixed problems
  5. 5Explain why the operation fits
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  15

  Unit 15

  Extension: mastery challenges in number sense and operations

  Students deepen Grade 2 understanding through richer problem structures, larger within-grade numbers, and flexible strategy choices. The focus remains within Grade 2 standards while increasing complexity and independence.

  Flexible strategies with place value and computation

  First steps

  1. 1Choose the most efficient strategy
  2. 2Use more than one representation
  3. 3Judge reasonableness of solutions
  4. 4Solve challenging within-grade stories
  5. 5Justify a strategy choice
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  16

  Unit 16

  Year-end synthesis: integrated problem solving and communication

  Students synthesize Grade 2 ideas across number, operations, measurement, geometry, data, time, money, and fractions. Tasks emphasize explanation, model choice, and strategic thinking with in-grade rigor.

  Integrated multi-topic problem solving

  First steps

  1. 1Use graph data in multi-step problems
  2. 2Use money and time in the same story
  3. 3Use fractions with shape reasoning
  4. 4Use measurement with addition and subtraction
  5. 5Check and explain integrated solutions