  # 4th Grade Math Common Core Standards

If your state participates in the Common Core initiative you may be wondering: What are the 4th grade math Common Core standards, and what tools are available to make sure your child is on track? In the article, we outline the common core 4th grade math standards. Author
Amber Watkins Published
November 7, 2023  # 4th Grade Common Core Standards

If your state participates in the Common Core initiative you may be wondering: What are the 4th grade math Common Core standards, and what tools are available to make sure your child is on track? In the article, we outline the common core 4th grade math standards. Author
Amber Watkins Published
Nov 7, 2023  # 4th Grade Common Core Standards

If your state participates in the Common Core initiative you may be wondering: What are the 4th grade math Common Core standards, and what tools are available to make sure your child is on track? In the article, we outline the common core 4th grade math standards. Author
Amber Watkins Published
Nov 7, 2023  Key takeaways

• Common Core 4th grade math standards aim to help your child become skilled in multiplying multi-digit numbers, understanding place values, using fractions, and analyzing data.
• Excellent online tools are available to supplement your child’s learning of these 4th grade math standards including online math worksheets, math games, and math apps.

The Common Core State Standards Initiative, commonly referred to as Common Core, was created to ensure students in varying states are receiving a standard math education. Although 4th grade math standards vary by state and school, the majority of the country has adopted Common Core.

As a parent, you may be wondering: “What are the 4th grade math Common Core standards and what tools are available to help my child master these objectives?” In this article, we outline the 4th grade math standards for Common Core with examples of each objective so you feel confident about where your child stands.

The Common Core Math Standards for fourth grade consist of five overarching standards with various math skills your 4th grader is expected to master under each. The five 4th grade Common Core math standards are as follows:

• Operations and Algebraic Thinking
• Numbers and Operations in Base 10
• Numbers and Operations- Fractions
• Measurement & Data
• Geometry

Let’s dive into these standards to better understand what they mean and what skills they entail.

## Common Core 4th Grade Math Standards ### Operations and Algebraic Thinking 1. Use the basic operations of Adding, Subtracting, Multiplying, and Dividing to solve problems.
2. Understand how factors and multiples work.

Factors are numbers multiplied together to get an answer. Multiples are skip counting by a certain number. The multiples of 5 are 5, 10, 15, 20, etc.

1. Analyze and create mathematical patterns.
This includes being able to see shapes and numbers in a sequence and continue the pattern, find

missing numbers as part of a sequence, and understanding how a sequence is made.

### Example Problems for Operations and Algebraic Thinking Basic Operations

Evaluate multiplication and Division equations

• What is 8 x 9?
• What is 44 / 11?

Multiplying and Dividing to solve word problems

Kimberly gets a new pack of seven baseball cards each week. She now has a total of 77 baseball cards in all. How many weeks has she been collecting baseball cards?

Factors and Multiples

Identify Factors

• What are the factors of 15?
• What are the factors of 21?

Prime and Composite Numbers

• Is 11 a prime or composite number?
• Is 14 a prime or composite number?

Find multiples of a chosen numbers

• What are the multiples of 4 up to 40?
• What are the multiples of 7 up to 56?

Analyze mathematical patterns

Analyze mathematical patterns with shapes

• Which shape comes next in this pattern

Analyze mathematical patterns with numbers

• What is the next number in the sequence: 3, 7, 11, 15, 19?

### Numbers and Operations in Base 10 1. Understands the value of each digit with the Base 10 math concept.

Base 10
describes each digit in a number as being worth ten times the number to its right. This helps your child understand the meaning of place values.

1. Can round multi-digit numbers to any place value: ones, tens, hundreds, thousands place.

2. Can compare multi-digit numbers using the greater than, less than, or equal to symbols: > , < , or = .

3. Understands place values in order to solve problems with multi-digit numbers.

Example Problems for Numbers and Operations in Base 10:

Understand Place values

Value of Digits

• In the number 205, what is the value of 2?
• In the number 628, what is the value of the 6?

Round Multi-digit Numbers

• Round 345 to the nearest tens place
• Round 4,502 to the nearest hundreds place.

Compare Multi-digit Numbers

• Compare the two numbers 624 _____ 654.

Solve Problems using Multi-digit Arithmetic

Add and Subtract Multi-digit whole numbers

• What is 249 + 167?
• What is 7,061 – 5,402?

Multiply up to four-digit Whole Numbers by a One-digit Whole Number

• What is 1029 x 5?

Multiply Two-digit Numbers

• What is 12 x 14?

Divide up to Four-digit Whole Numbers by One-digit Numbers

• What is 362 / 4?

### Numbers and Operations – Fractions 1. Understand fraction equivalence and fraction ordering.
2. Apply basic operations of whole numbers to fractions.
3. Convert fractions to decimals and compare them.

Example Problems for Numbers and Operations-Fractions

Fraction Equivalence and Ordering

Equivalent Fraction Models

• Write two fractions that are equivalent to ¼.
• Write two fractions that are equivalent to ⅖.

Simplifying Fractions

• Simplify 2/12.
• ⅙
• Simplify 8/10.
• ⅘

Plotting Equivalent Fractions on Number Lines.

• Place ⅕ and 2/10 on a number line to show they are equivalent fractions.

Basic Operations with Fractions

Add Mixed Fractions with Like Denominators

• What is 2 ¼ + 3 2/4?
• What is 1 ½ + 8 ¼ ?

Add Fractions on a Number Line

• Add 3/7 + 2/7 using a number line.
• Add ⅝ + ⅜ using a number line.

Convert Improper Fractions to Mixed Numbers

• Write 11/3 as a mixed number.
• Write 7/2 as a mixed number.

Multiply Fractions by Whole Numbers

• Find the product of ¾ x 2.
• Find the product of 2/6 x 3.

Converting & Comparing Fractions

Converting Fractions to Decimals

• Write 1/10 as a decimal
• Write ¾ as a decimal

Converting Fractions to Percents

• Write ⅕ as a percentage
• Write ¼ as a percentage

### Measurement and Data 1. Solve math problems involving measurement and conversions.
2. Interpret and represent data on graphs and line plots.
3. Understand concepts with angles and that the measurement of different angles involves addition.

Example Problems for Measurement and Data

Solve problems involving Measurement

Understand Basic Units of Measurement

• How many ounces (oz) are in one pound (lb)?
• How many feet are in one yard?

Use the four operations (Adding, Subtracting, Multiplying, Dividing) to solve word problems measurement

• Alex drinks 2 liters of water each day. How many total ounces will he have had after one week?
• Blair walks was 4ft 8in last year. She grew 6 inches in one year. How many inches tall is she now?

Apply knowledge of Perimeter and Area to solve word problems

• Sally wants to put a fence around her garden. If her garden is 10 ft by 5 ft, how many feet of fencing will she need?
• Scott made a pen for his dog. It is 12 ft by 8 ft. How much room does the dog have to play?

Represent Data

Solve problems involving Line Plots

• How many families have two pets?

Understand Angles

Using addition to identify angle measures

• If two acute angles are put together to form an obtuse angle, what is the measurement of the obtuse angle?

### Geometry 1. Identify rays, lines, line segments, and angles and be able to draw examples of each.
2. Measure angles using a protractor and free hand.
3. Classify shapes by their angles, sides, and lines.

Example Problems for Geometry

Draw Lines and Angles

Identify Acute and Obtuse Angles

Draw Angles of Various Measurements using a Protractor

• Draw a right angle using a protractor.
• Draw an acute angle using a protractor.

Classify shapes by their characteristics

Draw rays, lines, line segments, and angles

• Draw an example of a ray.
• Draw an example of a line segment.

Identify symmetrical shapes

• Is a hexagon symmetrical?
• Is a triangle symmetrical?

## How do 4th Grade Math Standards Vary By State? The goal of Common Core is to establish a set of uniform math standards. Forty-two states currently follow 4th grade math common core standards. However, these eight states do not teach by these standards: Texas, Virginia, Nebraska, Alaska, South Carolina, Arizona, Oklahoma, and Indiana. Many of those states follow their own 4th grade math standards.

One notable state is Texas which uses TEKS- Texas Essential Knowledge and Skills which sets the standards for what students should learn in each grade.

## What Should Kids Know in Math by the End of 4th Grade? By the end of 4th grade, students should know how to multiply and divide multi-digit numbers, solve word problems with basic operations, simplify fractions, and understand the characteristics of lines and other shapes – 4th grade Common Core Math Standards cover each of these topics.

## Where Can You Practice 4th Grade Math Concepts? Students can practice math by using a math app like DoodleMath for access to high-quality math games and 4th grade math practice. Other ways to practice math include downloading free 4th grade math worksheets and playing online math games. A 4th grader should learn how to add and subtract fractions, multiply and divide multi-digit numbers, and understand the characteristics of lines and shapes in math.

Common core 4th grade math focuses on basic operations with whole numbers and fractions, word problems with multi-digit multiplication and division, geometry, and analyzing data. Lesson credits

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring elementary through college level math. "Knowing that my work in math education makes such an impact leaves me with an indescribable feeling of pride and joy!"

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring elementary through college level math. "Knowing that my work in math education makes such an impact leaves me with an indescribable feeling of pride and joy!"  # Are you a parent, teacher or student?

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