5th grade Fractions

Fractions syllabus for 5th grade

In the Common Core State Standards (CCSS) for grade 5, the topic of fractions is a significant component of the mathematics curriculum. Students build upon their understanding from earlier grades and delve deeper into various aspects of fractions. Here are the key components of the math curriculum for fractions in grade 5 CCSS:

Understanding Fractions: Students develop a conceptual understanding of fractions as numbers representing parts of a whole or a quantity. They explore the relationship between the numerator and denominator and the meaning of fractions in real-world contexts.
Equivalent Fractions: Students learn about equivalent fractions and how different fractions can represent the same value. They practice finding equivalent fractions by multiplying or dividing both the numerator and denominator by the same number.
Comparing and Ordering Fractions: Students develop skills in comparing and ordering fractions. They use various strategies, such as finding a common denominator or converting fractions to decimals, to determine which fraction is greater or lesser.
Adding and Subtracting Fractions: Students extend their understanding of fractions to addition and subtraction. They learn to add and subtract fractions with like denominators and explore strategies for finding a common denominator when the fractions have different denominators. They may also work with mixed numbers and improper fractions.
Multiplying and Dividing Fractions: Students learn to multiply and divide fractions. They multiply fractions by fractions, fractions by whole numbers, and whole numbers by fractions. They also divide fractions by fractions and fractions by whole numbers. Visual models, such as area models or number lines, are used to support understanding.
Fraction Operations with Whole Numbers: Students explore fraction operations with whole numbers. They learn to convert mixed numbers to improper fractions and vice versa and apply addition, subtraction, multiplication, and division operations involving fractions and whole numbers.
Problem Solving: Fractions are applied to solve various real-life and mathematical problems. Students analyze word problems, identify the relevant information, and determine the appropriate fraction operation to find solutions. They also practice explaining their reasoning and justifying their answers.
Estimation: Students develop their estimation skills and use them to check the reasonableness of their fraction calculations. They learn to make quick approximations and use mental calculations to estimate fraction sums, differences, products, and quotients.

Throughout grade 5, students are expected to develop a deep understanding of fractions and apply their knowledge in various mathematical contexts. They work on fluency, problem-solving skills, estimation, and communication, fostering a solid foundation in fractions and their applications.

Fractions topics by sub-category

5th grade → Fractions → Compare fractions

Compare fractions: equivalence

Choose which two fractions are equivalent from groups of three fractions

Which fraction is biggest

Choose the fraction which is the biggest

Which fraction is smallest

Choose the fraction which is the smallest

Half of a fraction

Chose the fraction that is half the size of the given fraction

Double a fraction

Choose the fraction that is double the size of the given fraction

5th grade → Fractions → Order fractions

Order fractions: ascending

Find the list of fractions that is in correct ascending order

Order fractions: descending

Find the list of fractions that is in correct descending order from largest to smallest

5th grade → Fractions → Fractions of a quantity

Unit fractions of a quantity

Use division to find unit fraction multiples of quantities

Three eighths of a quantity

Choose the correct answer for ⅜ of a quantity

Five eighths of a quantity

Choose the correct answer for ⅝ of a quantity

Five ninths of a quantity

Choose the correct answer for 5/9 of a quantity

Missing fraction problems

Calculate the missing fraction that completes these multiplication sums

5th grade → Fractions → Convert fractions

Mixed to top-heavy

Convert mixed fractions to improper (top-heavy) fractions

Top-heavy to mixed fractions

Convert these top-heavy fractions to mixed fractions

Simplify fractions: cancel zeros

Cancel zeros top and bottom to simplify each fraction

Simplify fractions: halve even numbers

Halve even numbers top and bottom to simplify the fractions

Simplify fractions: common factors

Divide top and bottom by a common factor to simplify the fractions

5th grade → Fractions → Add fractions

Add fractions: same denominator

Add fractions where no change is required to the denominators

Add equivalent fractions

Add these fractions by making the denominators the same using common factors

Add fractions using LCD

Use a lowest common denominator (LCD) to add these pairs of fractions

Add mixed fractions

Convert these mixed fractions to top-heavy fractions and then add them together

5th grade → Fractions → Subtract fractions

Subtract same denominator fractions

Calculate the fraction subtractions where no change is required to the denominators

Subtract equivalent fractions

Subtract these equivalent fractions by matching denominators using common factors

Subtract fractions using LCD

Convert one fraction using a lowest common denominator (LCD) in order to subtract the fractions

Subtract mixed fractions

Use borrowing or other methods to subtract mixed fractions

5th grade → Fractions → Multiply fractions

Multiply proper fractions

Multiply proper fractions by multiplying across the numerators and denominators and simplifying

Multiply fractions: cross cancel first

Multiply fractions by cancelling numbers first using the BOW TIE method - simplify your answers

5th grade → Fractions → Divide proper fractions

Divide proper fractions by whole numbers

Use the flip method for dividing by a fraction to expand the question and identify the answer

5th grade → Fractions → Reverse fraction of quantity

From fractional amount to original amount

Work backwards from a fractional amount to find the whole amount

5th grade → Fractions → Fractions and decimals

Equivalent sizes

Identify the decimal that is the same size as the fraction

Decimals greater than fraction

Identify the decimals that are greater than the given fraction

5th grade → Fractions → Word problems

Capacity & volume problems

Solve problems involving capacity and volume identifying the correct answer using fractions

Counting * Comparing numbers * Pattern * Place value * Addition * Subtraction * Add + Subtract * Multiplication * Division * Multiply + Divide * Fractions * Decimals * Ratio + proportion * Measurements * Shapes * Position + Direction * Statistics * Algebra *