Math at the K–5 level is the foundation on which all future quantitative reasoning is built. Students begin by learning to recognize and count numbers, understand what quantities mean, and explore the world of shapes and time. From there, the curriculum expands steadily — place value unlocks two- and three-digit arithmetic, multiplication and division replace repeated addition, and fractions grow from simple halves to operations with unlike denominators. By Grade 5, students are working with decimals, applying the order of operations, plotting points on a coordinate plane, and calculating volume. Every concept introduced in kindergarten — number sense, grouping, spatial reasoning — echoes through all five grades, each year adding precision, complexity, and abstraction.

In kindergarten, children count objects, identify 2D shapes, and begin adding and subtracting within 10. Grade 1 introduces place value with tens and ones, extends addition and subtraction to 20, and brings in coins and measurement. Grade 2 formalizes two-digit operations, introduces skip counting, even and odd numbers, and an early look at multiplication. Grade 3 is where multiplication facts 0–10 and division facts take center stage, alongside fractions, area and perimeter, and multi-step word problems. Grade 4 tackles multi-digit multiplication, long division, equivalent fractions, decimals, and geometry concepts like angles and lines of symmetry. Grade 5 completes the journey with fraction multiplication and division, decimal operations, volume, PEMDAS, and coordinate plane graphing — setting students up for middle school math.

Grade-by-Grade Progression
Grade 1: First graders extend number work to place value with tens and ones, compare two-digit numbers, and solve addition and subtraction within 20 using word problems and fact families. New topics include counting coins, measuring lengths, and an introduction to fractions.
Grade 2: Second graders master two-digit addition and subtraction, deepen their understanding of place value, and begin skip counting by 2s, 5s, and 10s. They explore even and odd numbers, get an introduction to multiplication, work with fractions, tell time to the nearest five minutes, and read simple graphs and data.
Grade 3: Third grade is the pivot point for multiplication and division — students learn facts 0–10 and apply them to word problems, rounding, and three-digit operations. They advance their understanding of fractions, measure time to the minute, calculate perimeter and area, and analyze bar graphs and number patterns.
Grade 4: Fourth graders move into multi-digit multiplication and long division, work with equivalent fractions and fraction addition and subtraction, and are introduced to decimals. Geometry expands to include angles, lines, and symmetry, while measurement topics cover unit conversions, and number theory introduces factors and multiples.
Grade 5: Fifth graders complete elementary math by adding and subtracting fractions with unlike denominators, multiplying and dividing fractions, and operating with decimals. New concepts include volume, the order of operations (PEMDAS), coordinate plane graphing, powers of 10, measurement conversions, and classifying 2D shapes by their properties.
Kindergarten: Kindergartners build number sense by recognizing and counting numbers 0–20, representing quantities with objects, and exploring addition and subtraction within 10. They also identify 2D shapes, explore fractions as equal parts, and tell time to the hour.

Numbers & Counting

Kindergarten 12 Sheets FREE

Number recognition 0–10

Fun, free printable worksheets for kids to practice number recognition 0–10. Perfect for parents and teachers to downloa...

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Kindergarten 12 Sheets FREE

Count & represent objects 1–10

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Count to 20

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Number recognition 0–10

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Count & represent objects 1–10

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Count to 20

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Comparing Two-Digit Numbers

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Place Value: Tens and Ones

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Kindergarten 12 Sheets FREE

Count to 100

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Comparing Numbers More Less Equal

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Number Writing 0-20

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Ordinal Numbers

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Skip Counting Introduction

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Addition & Subtraction

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Addition within 10

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Subtraction within 10

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Addition within 20

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Addition within 10

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Subtraction within 10

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Addition within 20

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Word Problems: Add & Subtract Within 20

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Fact Families: Addition & Subtraction

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Subtraction Within 20

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Two-Digit Addition & Subtraction

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Adding Three Numbers

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Number Line Addition & Subtraction

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Number Bonds to 10

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Subtraction within 5 Fluency

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Multiplication & Division

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Multiplication facts ×0–5

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Division basic facts

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Multiplication facts ×0–5

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Division basic facts

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Introduction to Multiplication

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Multi-Digit Multiplication

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Long Division

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Multiplication Facts 0-10

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Division Facts 0-10

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Multiplication Word Problems

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Division Word Problems

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Properties of Multiplication

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Fractions

Geometry

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2D shapes & properties

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2D shapes & properties

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Coordinate Plane

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Classifying 2D Shapes

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2D and 3D Shapes

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Angles and Angle Measurement

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Lines and Symmetry

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Attributes of Shapes

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Classifying Triangles

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Classifying Quadrilaterals

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Positional Words

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3D Shapes Introduction

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Measurement

Data

Data & Probability

Fractions & Decimals

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Fractions (halves, thirds, quarters) intro

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Fractions (halves, thirds, quarters) intro

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Adding & Subtracting Fractions (Unlike Denominators)

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Multiplying & Dividing Fractions

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Decimal Operations

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Fractions: Halves, Thirds, and Fourths

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Equivalent Fractions & Comparing

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Adding & Subtracting Fractions

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Decimals and Place Value

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Understanding Fractions

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Mixed Numbers and Improper Fractions

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Multiplying Fractions by Whole Numbers

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Decimal Addition and Subtraction

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Comparing and Ordering Decimals

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Converting Fractions and Decimals

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Measurement & Data

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Time: hours & half-hours

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Time: hours & half-hours

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Counting Coins

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Measuring Lengths

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Grade 5 12 Sheets FREE

Volume of Rectangular Prisms

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Converting Measurements

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Line Plots with Fractions

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Grade 2 12 Sheets FREE

Telling Time

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Measuring Length

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Graphs and Data

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Measurement Conversions

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Grade 3 12 Sheets FREE

Time to the Minute

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Perimeter and Area

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Bar Graphs and Pictographs

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Grade 1 12 Sheets FREE

Data & Tally Charts

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Grade 2 12 Sheets FREE

Counting Money

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Weight & Capacity

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Number Lines

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Elapsed Time (Intro)

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Measurement & Geometry

Money & Financial Literacy

Number & Operations

Grade 5 12 Sheets FREE

Place Value & Powers of 10

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Place Value: Tens and Ones

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Skip Counting

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Even and Odd Numbers

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Grade 4 12 Sheets FREE

Factors and Multiples

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Place Value and Rounding

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Rounding to Nearest 10 and 100

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Three-Digit Addition & Subtraction

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Patterns and Number Sequences

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Estimation and Rounding

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Estimation Strategies

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Integers Introduction

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Ratios Introduction

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Number & Operations in Base Ten

Number Systems

Operations

Operations & Algebraic Thinking

Patterns & Sorting

Word Problems