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Math curriculum

3rd grade Math Units, Skills, and Practice

This 3rd grade math curriculum is organized into 16 units, 21 skills, and 123 practice steps. Current topic coverage includes Place value, Add and subtract, Multiplication facts, and Division facts. Each unit includes guided lesson steps, skill practice, and a clear path to the next concept.

Curriculum Snapshot

Units
16
Skills
21
Steps
123
Questions
3705

3rd grade Math Units

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

  • 1

    Unit 1

    Place Value and Number Sense

    Students build strong number sense to 10,000 through reading, writing, comparing, ordering, and rounding whole numbers. The unit blends steady practice with visual place-value models and reasoning about how numbers are composed.

    Read and write numbers to 10,000Compare, order, and round whole numbers

    First steps

    1. 1Read standard form
    2. 2Write numbers from words
    3. 3Use expanded form
    4. 4Compose and decompose numbers
    5. 5Match numbers to models
  • 2

    Unit 2

    Addition and Subtraction Strategies

    Students develop fluency with three-digit addition and subtraction using place-value strategies, regrouping, and estimation. Practice includes mental math, models, and explanation of method choices.

    Add within 1,000Subtract within 1,000

    First steps

    1. 1Add with base-ten models
    2. 2Add with partial sums
    3. 3Add with regrouping
    4. 4Use mental addition strategies
    5. 5Estimate and check sums
  • 3

    Unit 3

    Multiplication Concepts and Facts

    Students build multiplication meaning through equal groups, arrays, repeated addition, and fact patterns. The unit emphasizes conceptual understanding first and then fluency across the multiplication facts.

    Model multiplication with equal groups and arraysDevelop multiplication fact fluency

    First steps

    1. 1Use equal groups
    2. 2Read and build arrays
    3. 3Connect repeated addition to multiplication
    4. 4Use the commutative property
    5. 5Find a missing factor
  • 4

    Unit 4

    Division Concepts and Facts

    Students understand division as sharing and grouping and connect division facts to multiplication facts. The unit develops fluency with related facts and builds flexibility with unknowns and remainders in context.

    Model division as sharing and groupingDevelop division fact fluency

    First steps

    1. 1Use fair sharing
    2. 2Use equal grouping
    3. 3Relate multiplication and division
    4. 4Use repeated subtraction and number lines
    5. 5Interpret remainders in context
  • 5

    Unit 5

    Multiplication and Division Word Problems

    Students apply multiplication and division to one-step and two-step situations involving equal groups, arrays, and comparisons. They explain their reasoning, choose operations, and check answers with related facts and estimation.

    Solve one-step multiplication and division problems

    First steps

    1. 1Choose multiplication or division
    2. 2Solve with drawings and equations
    3. 3Solve unknown-factor stories
    4. 4Solve multiplicative comparison problems
    5. 5Check and explain solutions
  • 6

    Unit 6

    Two-Step Word Problems with Addition and Subtraction

    Students solve grade-level two-step story problems using addition and subtraction with clear problem structure, visual models, and reasonableness checks. This unit ensures sustained practice with multi-step add/subtract reasoning across the year.

    Represent and solve two-step addition and subtraction problems

    First steps

    1. 1Find the two actions in a story
    2. 2Use bar models for two-step stories
    3. 3Solve using two equations
    4. 4Estimate and check two-step answers
    5. 5Solve two-step problems with missing parts
  • 7

    Unit 7

    Two-Step Word Problems with Multiplication

    Students solve two-step problems in which multiplication is essential, including multiplication followed by addition or subtraction. The unit focuses on representing structure, choosing efficient strategies, and explaining why multiplication is needed.

    Solve two-step problems dominated by multiplication

    First steps

    1. 1Multiply, then add
    2. 2Multiply, then subtract
    3. 3Use multiplicative comparison in two-step stories
    4. 4Solve two-step array and area stories
    5. 5Estimate and justify multiplication stories
  • 8

    Unit 8

    Fractions Foundations

    Students develop the idea of fractions as equal parts of a whole and as parts of a set. The unit emphasizes visual models, unit fractions, equivalent fractions, and comparison reasoning.

    Understand fractions of a whole and of a set

    First steps

    1. 1Recognize equal parts
    2. 2Name unit fractions
    3. 3Find fractions of a set
    4. 4Place fractions on a number line
    5. 5Find simple equivalent fractions
  • 9

    Unit 9

    Measurement with Time, Money, and Metric Units

    Students solve practical measurement problems involving length, mass, liquid volume, time, and money. The unit includes reading clocks to the nearest minute, elapsed time, coins and bills, making change, and money word problems.

    Read time and solve elapsed time problemsMeasure and solve with standard metric and customary units

    First steps

    1. 1Read clocks to the nearest minute
    2. 2Connect analog and digital time
    3. 3Find start time, end time, and duration
    4. 4Solve two-step time stories
    5. 5Use coins and bills to make amounts
  • 10

    Unit 10

    Area and Perimeter Foundations

    Students explore area as covering and perimeter as distance around a shape. The unit links arrays, multiplication, addition, and geometric measurement to build both conceptual and procedural understanding.

    Find area with square units and arrays

    First steps

    1. 1Understand area as covering
    2. 2Use rows and columns to find area
    3. 3Use repeated addition for area
    4. 4Find perimeter by counting side lengths
    5. 5Compare area and perimeter
  • 11

    Unit 11

    Geometry with Shapes, Angles, and Coordinate Readiness

    Students classify shapes by attributes, explore right angles and turns, and build first-quadrant coordinate readiness. The unit connects shape properties, spatial reasoning, and mathematical language.

    Classify polygons and quadrilaterals

    First steps

    1. 1Identify polygons
    2. 2Sort quadrilaterals by attributes
    3. 3Recognize and compare right angles
    4. 4Understand angles as turns
    5. 5Read and plot points in the first quadrant
  • 12

    Unit 12

    Data, Patterns, Probability, and Decimal Connections

    Students interpret graphs and line plots, explore probability language, study numeric patterns, and make introductory connections to tenths and hundredths through models. This unit strengthens representation, comparison, and mathematical connections across strands.

    Represent and interpret data

    First steps

    1. 1Read picture graphs and bar graphs
    2. 2Read line plots with whole, half, and quarter units
    3. 3Ask and answer questions from data
    4. 4Use arithmetic patterns and rules
    5. 5Use simple probability language
  • 13

    Unit 13

    Mixed Operations and Problem Solving

    Students integrate place value, the four operations, measurement, and data in mixed contexts. The unit emphasizes multistep reasoning, operation choice, estimation, mathematical communication, and checking for reasonableness.

    Solve mixed-operation multistep problems

    First steps

    1. 1Choose operations in mixed stories
    2. 2Solve mixed problems in measurement and grouping contexts
    3. 3Use estimation to check multistep answers
    4. 4Explain and justify a solution path
    5. 5Mixed review across all operations
  • 14

    Unit 14

    Two-Step Word Problems with Division

    Students solve two-step problems in which division is essential, including division followed by addition or subtraction and mixed measurement/grouping situations. The unit ensures strong end-of-year coverage of division-centered multistep reasoning.

    Solve two-step problems dominated by division

    First steps

    1. 1Divide, then add
    2. 2Divide, then subtract
    3. 3Solve two-step division in measurement contexts
    4. 4Distinguish division-centered two-step stories
    5. 5Estimate and check two-step division answers
  • 15

    Unit 15

    Stretch: Fraction and Area Connections

    Students deepen understanding by connecting fractions, area models, equivalent fractions, and decimal representations. The work remains in-grade but asks for stronger explanation, comparison, and synthesis across representations.

    Connect fractions, area models, and decimal parts

    First steps

    1. 1Use grids to show equivalent fractions
    2. 2Connect tenths fractions to decimals
    3. 3Compare fractions using shared models
    4. 4Solve area and fraction synthesis stories
    5. 5Justify equivalence and comparison
  • 16

    Unit 16

    Mastery Challenge: Multistep Reasoning and Synthesis

    Students tackle richer in-grade problems that combine operations, data, geometry, measurement, fractions, and estimation. The focus is on sustained reasoning, communication, and strategic choice rather than new content.

    Solve high-rigor synthesis problems

    First steps

    1. 1Plan with diagrams, tables, and equations
    2. 2Reason across measurement, data, and operations
    3. 3Use estimation and error analysis
    4. 4Communicate a complete solution
    5. 5Year-end mixed review