Skip to content

What does a student learn in ?

This is the year math stretches into bigger numbers and finer parts. Students read and compare numbers up to a million, multiply larger numbers, and divide with remainders. They start working with fractions and decimals as real quantities, placing them on a number line and comparing their sizes. By spring, students can multiply a three-digit number by a one-digit number, find equivalent fractions like 1/2 and 2/4, and tell time that has passed between two clocks.

  • Place value
  • Multiplication and division
  • Fractions
  • Decimals
  • Area and volume
  • Elapsed time
  • Reading graphs
Source: Oklahoma Oklahoma Academic Standards
Year at a glance
How the year usually goes. Every school and district set their own curriculum, so treat this as a guide, not official pacing.
  1. 1

    Place value to a million

    Students stretch their understanding of big numbers up to one million. They read, write, and compare large numbers, and use place value to multiply or divide by 10, 100, and 1,000 in their heads.

  2. 2

    Multiplying and dividing bigger numbers

    Students get quick with times tables up to 12 and start multiplying and dividing larger numbers on paper. They also estimate to check if an answer makes sense and solve multi-step word problems.

  3. 3

    Fractions and decimals

    Students compare fractions, find equal fractions, and add and subtract fractions with the same bottom number. They also start working with decimals to the hundredths place, including money amounts.

  4. 4

    Shapes, angles, and measuring

    Students name and sort shapes like rectangles, rhombuses, and trapezoids. They measure angles with a protractor, find the area of shapes, and choose the right tool and units for length, weight, and volume.

  5. 5

    Patterns, time, and data

    Students find the rule behind a number pattern and solve for missing numbers in equations. They figure out elapsed time, convert between units like minutes and hours, and read information from tables and graphs.

Mastery Learning Standards
The required skills a student should display by the end of Grade 4.
Numbers & Operations
  • Compare and represent whole numbers up to 1,000,000 with an emphasis on place…

    4.N.1

    Reading, writing, and comparing numbers up to one million. Students use place value to show why one number is greater than, less than, or equal to another.

  • Read, write, discuss

    4.N.1.1

    Students read, write, and show numbers up to one million using digits, written words, and number lines.

  • Use place value to describe whole numbers between 1,000 and 1,000,000 in terms…

    4.N.1.2

    Students read and write large numbers, up to one million, three ways: in digits (304,500), in words, and broken apart by place value (300,000 + 4,000 + 500). Each position in a number, from ones to millions, carries a specific value.

  • Applying knowledge of place value, use mental strategies

    4.N.1.3

    Students multiply or divide a number by 10, 1,000, or more in their head, no pencil needed. They use what they know about place value to shift digits left or right instead of working through the problem on paper.

  • Use place value to compare and order whole numbers up to 1,000,000, using…

    4.N.1.4

    Students read two large numbers and decide which is bigger or smaller by looking at each digit's place, then write the comparison using words like "greater than" or symbols like > and <.

  • Solve real-world and mathematical problems using multiplication and division

    4.N.2

    Students use multiplication and division to solve everyday problems, like splitting a bill equally or figuring out how many chairs fill a room. The math is real, not just practice on a worksheet.

  • Demonstrate fluency with multiplication and division facts with factors up to…

    4.N.2.1

    Students practice multiplication and division facts up to 12 times 12 until the answers come quickly, without counting on fingers or pausing to think it through.

  • Multiply 3-digit by 1-digit and 2-digit by 2-digit whole numbers, using various…

    4.N.2.2

    Students multiply a 3-digit number by a single digit, and two 2-digit numbers together. They practice more than one method for finding the answer, including the standard step-by-step algorithm.

  • Estimate products of 3-digit by 1-digit and 2-digit by 2-digit whole number…

    4.N.2.3

    Students practice rounding numbers before multiplying to check whether an answer makes sense. For example, they might round 47 x 38 to 50 x 40 to quickly confirm their actual answer is in the right ballpark.

  • Apply and analyze models to solve multi-step problems requiring the use of…

    4.N.2.4

    Students solve word problems that take more than one step, mixing addition, subtraction, and multiplication of large numbers. They then check whether their answer makes sense given what the problem was actually asking.

  • Use strategies and algorithms

    4.N.2.5

    Students divide a three-digit number by a single-digit number, such as 144 divided by 6, using whatever method makes sense to them. Sometimes there is a remainder left over.

  • Represent and compare fractions and decimals in real-world and mathematical…

    4.N.3

    Students read, write, and compare fractions and decimals using everyday tools like number lines and place value charts. They learn how tenths and hundredths relate to each other and to whole numbers.

  • Represent and rename equivalent fractions using fraction models

    4.N.3.1

    Equivalent fractions name the same amount in different ways. Students use pictures, number lines, and fraction strips to show why one-half and two-fourths land in the same place.

  • Use benchmark fractions

    4.N.3.2

    Students place fractions on a number line by using familiar fractions like 1/4, 1/2, and 3/4 as landmarks. From those anchors, they figure out where less familiar fractions with smaller slices, like fifths or twelfths, belong.

  • Use models to order and compare whole numbers and fractions less than and…

    4.N.3.3

    Students look at fractions on a number line or other model and decide which is larger or smaller, using words like "greater than" or symbols like < and >. Fractions can be less than one, equal to one, or greater than one.

  • Decompose a fraction into a sum of fractions with the same denominator in more…

    4.N.3.4

    Students break one fraction into smaller pieces that add back up to the same amount, like splitting 3/4 into 1/4 + 1/4 + 1/4 or into 2/4 + 1/4. They show this with drawings and number sentences.

  • Use models to add and subtract fractions with like denominators

    4.N.3.5

    Students add and subtract fractions that share the same bottom number, using drawings or fraction bars to show the work. For example, they find what 3/8 plus 4/8 equals by shading pieces of the same shape.

  • Represent tenths and hundredths with concrete and pictorial models, making…

    4.N.3.6

    Students show fractions like 3/10 or 47/100 using grids, number lines, or drawings, then connect those pictures to the decimal form (0.3 or 0.47).

  • Read and write decimals in standard, word

    4.N.3.7

    Decimals show parts of a whole, and students read and write them three ways: as a number (0.75), in words ("seventy-five hundredths"), and broken into place values (0.7 + 0.05). Money is a common example, so $0.75 counts.

  • Compare and order decimals and whole numbers using place value and various…

    4.N.3.8

    Students line up decimals and whole numbers from least to greatest (or greatest to least) by looking at place value. They use tools like number lines and grids to show why one number is bigger or smaller than another.

  • Compare and order benchmark fractions

    4.N.3.9

    Students sort and compare common fractions and their decimal equivalents, like 1/2 and 0.50, using number lines, pictures, and symbols to show which is smaller or larger.

  • Determine the value of bills and coins in order to solve monetary transactions

    4.N.4

    Students count a mix of bills and coins to figure out totals, make change, and solve everyday money problems.

  • Select the fewest number of coins for a given amount of money up to one dollar

    4.N.4.1

    Students figure out the smallest number of coins needed to make any amount up to a dollar. For example, 75 cents is three quarters, not a pile of pennies.

  • Given a total cost (dollars and coins up to twenty dollars) and amount paid

    4.N.4.2

    Students figure out how much change someone should get back after paying for something. They practice this with dollars and coins, for purchases up to twenty dollars.

Algebraic Reasoning & Algebra
  • Describe, create, and analyze multiple representations of patterns to solve…

    4.A.1

    Students look at a repeating pattern, like numbers on a chart or shapes in a row, and figure out the rule behind it. They use that rule to predict what comes next or solve a problem.

  • Create an input/output chart or table to represent or extend a numerical…

    4.A.1.1

    Students fill in a two-column chart where each number that goes in produces a matching number that comes out, following a rule. They use the chart to continue the pattern or solve a problem.

  • Describe the single operation rule for a pattern from an input/output table or…

    4.A.1.2

    Students look at a table of number pairs and figure out the one math operation (adding, subtracting, multiplying, or dividing) that turns every input number into its matching output number.

  • Construct models to show growth patterns involving geometric shapes and define…

    4.A.1.3

    Students build a sequence of shapes that grows by the same rule each time, then name that rule as one operation, like "add 3 squares each step."

  • Use multiplication and division with variables to create number sentences…

    4.A.2

    Students write multiplication or division equations that include an unknown, matching the equation to a situation described in words or a picture.

  • Use the relationships between multiplication and division with the properties…

    4.A.2.1

    Students figure out the missing number in a multiplication or division equation, like finding what goes in the box to make 6 x ? = 48 true. They use what they know about how multiplication and division work together to check their answer.

  • Solve for a variable in an equation involving addition, subtraction…

    4.A.2.2

    Students find the missing number in an equation like 6 x ? = 42 or 48 / ? = 8. They also match equations to diagrams and drawings that show the same math.

  • Determine the unknown addend or factor in equivalent and non-equivalent…

    4.A.2.3

    Students find the missing number that makes a math sentence true or false, like figuring out what goes in the blank to balance both sides of an equation or to make one side bigger than the other.

Geometry & Measurement
  • Name, describe, classify

    4.GM.1

    Students sort and build shapes like triangles, rectangles, and cubes by counting sides, corners, and faces. They also spot those shapes in everyday objects around them.

  • Identify points, lines, line segments, rays, angles, endpoints

    4.GM.1.1

    Students spot and name the basic building blocks of geometry: points, lines, rays, angles, and whether two lines run parallel or cross at a right angle. They find these in diagrams, shapes, and everyday objects.

  • Describe, classify, and construct quadrilaterals, including squares…

    4.GM.1.2

    Students sort and build four-sided shapes, squares, rectangles, trapezoids, and rhombuses, by looking at their sides and angles. They also spot those shapes in pictures and real objects.

  • Given two three-dimensional shapes, identify each shape

    4.GM.1.3

    Students look at two 3-D shapes, such as a cube and a pyramid, name each one, and then explain what they share and how they differ using features like faces, edges, and corners.

  • Recognize and measure attributes in real-world and mathematical situations…

    4.GM.2

    Students use rulers, scales, and other measuring tools to find lengths, weights, and other attributes of real objects and shapes. The focus is on choosing the right tool and reading it correctly.

  • Measure angles in geometric figures and real-world objects with a protractor or…

    4.GM.2.1

    Students use a protractor to measure angles in shapes and real objects, reading the degree value where the lines meet the tool's scale.

  • Find the area of polygons by determining if they can be decomposed into…

    4.GM.2.2

    Students figure out the area of odd-shaped figures by breaking them into rectangles, finding each rectangle's area, then adding the parts together.

  • Develop the concept that the volume of rectangular prisms with whole-number…

    4.GM.2.3

    Students count how many small cubes stack and fit inside a box-shaped object to find its volume. Packing cubes into a rectangular container without gaps shows why volume is measured in cubic units like cm³.

  • Choose an appropriate instrument to measure the length of an object to the…

    4.GM.2.4

    Students pick the right measuring tool (a ruler, a tape measure) and use it to find how long something is, reading the result to the nearest centimeter or quarter inch.

  • Recognize and use the relationship between inches, feet

    4.GM.2.5

    Students practice converting between inches, feet, and yards to measure and compare real objects. They learn, for example, that 12 inches make a foot and 3 feet make a yard.

  • Recognize and use the relationship between millimeters, centimeters

    4.GM.2.6

    Students measure real objects using millimeters, centimeters, and meters, then convert between the three units to compare lengths. Think of measuring a paperclip in millimeters, a pencil in centimeters, and a hallway in meters.

  • Determine and justify the best use of customary and metric measurements in a…

    4.GM.2.7

    Students decide whether to measure something in cups or liters, ounces or grams, Fahrenheit or Celsius, and explain why that unit makes sense for the situation.

  • Determine elapsed time and convert between units of time

    4.GM.3

    Students figure out how much time has passed between two moments, like the start and end of a school day. They also convert between hours, minutes, and seconds.

  • Determine elapsed time

    4.GM.3.1

    Students figure out how much time has passed between a start time and an end time, like calculating how long a movie lasted or how many minutes are left until school gets out.

  • Convert one measure of time to another including seconds to minutes, minutes to…

    4.GM.3.2

    Students practice converting between units of time, such as turning 90 seconds into minutes or 2 days into hours. They use clocks, number lines, and other tools to make those conversions.

Data & Probability
  • Summarize, construct

    4.D.1

    Students collect and organize real data, such as survey results or measurements, then read graphs and tables to answer questions about what the numbers show.

  • Create and organize data on a frequency table or line plot marked with whole…

    4.D.1.1

    Students collect data and display it on a frequency table or line plot, using whole numbers and fractions on the scale. Labels and a title explain what the data shows.

  • Organize data sets to create tables, bar graphs, timelines

    4.D.1.2

    Students collect a set of numbers or facts and arrange them into a table, bar graph, timeline, or Venn diagram. The numbers can include simple fractions and decimals like 0.25 or one-half.

  • Solve one- and two-step problems by analyzing data in whole number, decimal

    4.D.1.3

    Students read a frequency table or line plot, then solve one or two math problems using the data shown. The numbers in the chart may include decimals or fractions.

Common Questions
  • What math should students be doing by the end of the year?

    By spring, students read and write numbers up to a million, multiply three-digit numbers by one-digit numbers, divide with remainders, and add fractions with the same bottom number. They also work with decimals to the hundredths place and tell time problems involving elapsed minutes and hours.

  • How can families help with multiplication facts at home?

    Practice times tables up to 12 for five minutes a day. Use flashcards, dice games, or quick quizzes in the car. Fluency with these facts makes longer multiplication and division problems much easier later in the year.

  • My child gets stuck on fractions. What helps?

    Use real objects. Cut a sandwich into fourths, fold paper into thirds, or measure ingredients with cups. Seeing that two fourths and one half cover the same space builds the idea of equivalent fractions faster than worksheets do.

  • How should place value be sequenced across the year?

    Start with reading and writing numbers up to a million in standard, word, and expanded form. Then move into comparing and ordering, followed by mental math for multiplying and dividing by 10, 100, and 1,000. Place value work should keep showing up when decimals come in later.

  • Which skills usually need the most reteaching?

    Long multiplication with regrouping, division with remainders, and comparing fractions with different bottom numbers tend to need extra rounds. Build in spiral review across units rather than treating these as one-and-done lessons.

  • How can families practice money and time in everyday life?

    Hand students the cash at the store and ask them to figure out the change from twenty dollars. At home, ask how many minutes until dinner, or how long a show lasts from start to finish. These count as real math practice.

  • How do I know students are ready for fifth grade math?

    Students should multiply and divide multi-digit numbers with confidence, compare fractions and decimals using models, find the area of rectangles, and solve two-step word problems. If they can explain their reasoning, not just get the answer, they are ready.

  • Do students need to memorize formulas for area and volume?

    Not as formulas first. Students should build rectangles from squares to see area, and stack cubes to see volume. Once that idea is solid, the formulas make sense as a shortcut rather than a rule to memorize.