| Topic icon key | ||
eq | Equation | Each item in the topic is in the form of an equation |
id | Identify | Each item in the topic is a thing |
mi | Missing item | Each item in the topic is a statement with a missing term |
10 | Number of items | There are 10 items in this topic |
8 | Extended items | Additional questions for games and tests in this topic |
Our math topics for 5th grade learners are designed to follow closely the Common Core standards for math for 5th grade pupils.
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.
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
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
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
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
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
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
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
Divide proper fractions by whole numbers
Use the flip method for dividing by a fraction to expand the question and identify the answer
From fractional amount to original amount
Work backwards from a fractional amount to find the whole amount
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
Capacity & volume problems
Solve problems involving capacity and volume identifying the correct answer using fractions
A topic is selected at the beginning of a session at Free Math Games and will be remembered when you move between games or activities. The math for the topic is carefully constructed to match the elementary math level commonly taught in US schools. This means that you as an elementary pupil should see similar math problems to those you are seeing at school (if you are at school) for any particular subject. Please let us know if that is not the case.
See the help box below for instructions on choosing a topic here at Free Math Games.
UXO * Duck shoot * The frog flies * Pong * Cat and mouse * The beetle and the bee
Rock fall * Four in a row * Sow grow * Choose or lose * Mix and match
Click on the "1. Start" button in the top navigation bar - that brings you to this elementary level topic selection page. On the topic selection page you will see that the topics are divided up:
Since you are currently within the elementary section of Free Math Games you will see the elementary topics. The elementary grades will have loaded. Choose your grade. The broad categories available will load. Click on a category to see the available sub-categories and topics.
For example, if you choose fifth grade, then the category: "Fractions" you will be offered a choice of fraction sub-categories and topics suitable for Grade 5. Click on each sub-category to view the available topics.
When you click on the name of a topic, the topic will load into the lesson page (once a topic has loaded it will be available for all activities and will not have to be downloaded again) and the lesson start page will be displayed. You can choose to do the lesson or jump immediately to the games using that topic.
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