In 5th grade  Number and Operations are covered  in Base Ten and in Fractions.

We will focus on Fractions here.

5th grade math lessons begin to go into the topic of fractions with a bit more depth.  Here are what 5th grades learn on the topic of fractions:

1. Understanding the concept of a fraction as a part of a whole or a part of a set.
2. Identifying fractions using proper notation, including mixed numbers and improper fractions.
3. Compare fractions using symbols such as >, <, and =.
4. Adding and subtracting fractions with unlike denominators using the least common multiple.
5. Multiplying fractions.
6. Dividing fractions.
7. Simplify fractions to lowest terms.
8. Convert fractions to decimals and decimals to fractions.
9. Fraction use in real-world situations, such as measuring and cooking.

CCSS.MATH.CONTENT.5.NF.A.1| Use equivalent fractions as a strategy to add and subtract fractions.

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

Standard: 5.NF.A.1

CCSS.MATH.CONTENT.5.NF.A.2| Use equivalent fractions as a strategy to add and subtract fractions.

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

Standard: 5.NF.A.2

CCSS.MATH.CONTENT.5.NF.B.3| Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Standards: 5.NF.B.3

CCSS.MATH.CONTENT.5.NF.B.4| Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

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

Standards: 5.NF.B.4

CCSS.MATH.CONTENT.5.NF.B.5| Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Interpret multiplication as scaling (resizing) by:

1. Comparing the size of a product to the size of one factor.
2. Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number.
3. Explaining why multiplying a number by a fraction less than one results in a smaller number.

Standards: 5.NF.B.5

CCSS.MATH.CONTENT.5.NF.B.6| Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Standards: 5.NF.B.6

CCSS.MATH.CONTENT.5.NF.B.7| Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

Standards: 5.NF.B.7