# Grade 4 Math Number and Operations Fractions

## 4th Grade Math Number and Operations with Fractions

In 4th grade  Number and Operations are covered  in Base Ten and in Fractions.

We will focus on Fractions Number and Operations here.

Students usually learn about fractions as part of their math lessons in the fourth grade. Students might learn about, among other things:

1. Knowing what fractions are and how they show how much of a whole they are.
2. Identifying and writing fractions (like 1/2 and 3/4) in the right way.
3. Using symbols (>, <, =) to compare fractions
4. Adding and taking away fractions with the same number of “denominators”
5. Putting fractions together with whole numbers
6. Using whole numbers to divide by fractions
7. Simplifying fractions
8. Changing fractions to decimals and decimals to fractions

Students also learn about mixed numbers (like 1 1/2) and improper fractions (like 5/2). In addition to learning about these ideas, students may also be asked to solve word problems and use their knowledge of fractions in real-world situations.

Here are the standards and some videos to explain the concepts.  I hope you find this helpful.

CCSS.MATH.CONTENT.4.NF.A.1| Extend understanding of fraction equivalence and ordering.

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Standards: 4.NF.A.1

CCSS.MATH.CONTENT.4.NF.A.2| Generalize place value understanding for multi-digit whole numbers.

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Standards: 4.NF.A.2

CCSS.MATH.CONTENT.4.NF.B.3| Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

Standards: 4.NF.B.3

CCSS.MATH.CONTENT.4.NF.B.4| Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

Standards: 4.NF.B.4

CCSS.MATH.CONTENT.4.NF.C.5| Understand decimal notation for fractions, and compare decimal fractions.

Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.

Standards: 4.NF.C.5

CCSS.MATH.CONTENT.4.NF.C.6| Understand decimal notation for fractions, and compare decimal fractions.

Use decimal notation for fractions with denominators 10 or 100.

Standards: 4.NF.C.6

CCSS.MATH.CONTENT.4.NF.C.7| Understand decimal notation for fractions, and compare decimal fractions.

Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model

Standards: 4.NF.C.7