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4th Grade Math Curriculum
By the fourth grade, students now have a good grasp on basic math concepts, such as addition, subtraction, measurement, and shapes. This year, students will begin to combine their knowledge of the four operations to solve multi-step problems. They’ll also touch on more advanced geometry concepts, as well as decimals and advanced place value.
4th Grade Math – 55 Objectives
Learning objectives are clear statements of what your child should know or be able to do by the end of a lesson. These objectives show exactly what your child is working toward, and show how we break up a big subject into manageable, trackable steps.
Numeracy: Whole Numbers
- Interpret numbers up to 7-digits when written in digits, word form, or expanded form
- Compare 7-digit numbers
- Understand the purpose and place commas in numbers with 4+ digits
- Identify and list multiples; explain the difference between factors and multiples
- Identify and list the factors of a given number up to 100
- Understand the difference between prime and composite numbers; identify examples of each up to 100
Numeracy: Place Value
- Place value of numbers from the millions place to hundredths place
- Rounding numbers to any place up to the millions
- Understand that place values are 10 or 100 times bigger or 1/10 or 1/100 times smaller.
- Decimal place value to the hundredths
Numeracy: Fractions and Decimals
- Simplify fractions to lowest terms
- Use understanding of equivalent fractions to find common denominators
- Compare and order fractions; for fractions with unlike denominators, use strategies such as finding benchmark fractions or finding a common denominator
- Interpret fractions greater than 1 as improper fractions or mixed numbers and be able to convert between the two forms
- Converting between fractions and decimals, ie 6/10 = .6 and 14/100 = .14
- Ordering and comparing fractions and decimals
Operations: Simple Addition/Subtraction
- Add whole numbers to the millions, including regrouping
- Subtract whole numbers to the millions, including regrouping
- Adding and subtracting fractions, including those with unlike denominators and fractions greater than 1
- Adding and subtracting decimals to the hundredths
Operations: Simple Multiplication/Division
- Solve for missing factors, dividends, or divisors in multiplication and division problems
- Multi-digit multiplication, up to 2-digit by 2-digit and 4-digit by 1-digit using the standard algorithm, partial products, and/or the distributive property
- Multiplying fractions by whole numbers and fractions by fractions
- Long division with up to a 4-digit dividend and a 1-digit divisor, including division with remainders represented as fractions or decimals
- Represent remainders as fractions or decimals
Geometry: Shapes and Their Properties
- Identify and name polygons by their sides, up to a 10-sided decagon
- Classify polygons as regular or irregular
- Recognize and use hatch marks to note when sides or angles have the same measure
- Classify triangles by side length: scalene, isosceles, equilateral
- Classify triangles by angle measurement: acute, right, obtuse
- Identify and describe quadrilaterals based on sides and angles: square, rectangle, trapezoid, rhombus, kite, parallelogram
- Identify the number of lines of symmetry (if any) in complex shapes
- Create and extend growing and repeating patterns using geometric shapes
Geometry: Perimeter
- Calculate perimeter of a polygon or find a missing side length
Geometry: Area
- Calculate the area of a composite shape by finding the area of square/rectangular parts
Geometry: Plane Geometry
- Define and identify points, lines, line segments and rays
- Identify whether a pair of lines is parallel, perpendicular, or neither
Geometry: Angles
- Measure angles with a protractor
- Define and describe the differences between acute, right, obtuse, and straight angles
Measurement, Data and Probability: Measurement
- Recall the names and sizes of length units: inches, feet, yards, and miles
- Recall the names and sizes of volume units: fluid ounces, cups, pints, quarts, and gallons
- Recall the names and sizes of weight units: ounces, pounds, tons
- Convert between customary measurement units using multiplication and division
- Recall the names of metric units: meter for length, liter for volume, and gram for mass
- Recall common metric prefixes and their meanings: kilo- and centi-
- Convert between metric units using multiplication and division
Measurement, Data and Probability: Representing and Interpreting Data
- Read data from a bar graph
- Read data from a frequency chart
- Read data from a line plot
- Read data from a single-line graph
- Determine the appropriate scale for a graph or chart
Measurement, Data and Probability: Money
- Solve word problems that involve adding and subtracting dollar amounts
- Represent dollar amounts as decimals $_.__
Relationships Between Values: Functions
- First introduction of an input/output table, in context with converting measurements
- Use pattern recognition to identify and extend the rule/pattern in a table
Course Information
4th Grade Math Curriculum (Math Level E)
In fourth grade, students build on previously learned skills to tackle more complex problems, especially multi-step multiplication and long division word problems.
Our fourth grade math curriculum covers key topics like two-digit multiplication, long division, and working with both decimals and improper fractions. Students explore measurement more deeply, using units like centimeters, inches, ounces, and pounds. They’ll also dive into geometry by learning about lines, angles, area, and perimeter — laying the foundation for more advanced geometry in 5th and middle school grades.
4th Grade Math Sample Lesson
4th Grade Math Activity PDF
Our courses also come with printable PDF extension activities, perfect for hands-on practice away from the screen. Prefer not to print? Select courses also offer full-course workbooks, giving your student a ready-made, all-in-one resource for extra practice and review.
Miacademy’s Online 4th Grade Homeschool Curriculum
At Miacademy, we make fourth grade math skills fun! Our curriculum supports student learning with clear explanations and hands-on practice. We emphasize understanding over rote memorization, guiding learners through new topics like multi-digit multiplication, fractions, and geometry step by step. By building on what they already know, students gain confidence and a stronger number sense as they explore more advanced skills.
Whether you homeschool full time or are looking to supplement a public school education, we’re here to support you! Wondering if Miacademy’s fourth grade homeschool curriculum is a good fit for your student? Start a chat with one of our friendly customer service agents below! They’ll be happy to help you with any questions you may have.
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