| 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, addition is an important mathematical concept that students continue to develop and apply. Here are some key components of addition covered in the grade 5 CCSS addition syllabus:
Fluency in Addition and Subtraction: Students are expected to have fluency in addition and subtraction within 1,000. They should be able to quickly and accurately add and subtract multi-digit numbers, including using strategies such as the standard algorithm.
Mental Math Strategies: Students learn and apply mental math strategies to add numbers. These strategies may include using place value, known number facts, and properties of operations to simplify calculations and make them more efficient.
Addition and Subtraction with Decimals: Grade 5 introduces the addition and subtraction of decimals. Students learn to align decimal points and add or subtract the digits accordingly. They also learn to estimate decimal sums and differences to check the reasonableness of their answers.
Problem Solving: Addition is applied to various problem-solving situations. Students learn to analyze word problems, identify the relevant information, and use addition 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 accuracy of their addition calculations. They learn to round numbers to appropriate place values and perform mental calculations to estimate sums before finding the exact answers.
Multi-step Problems: Grade 5 introduces multi-step word problems that require multiple addition operations. Students practice breaking down complex problems into smaller, manageable steps, applying addition at different stages, and integrating addition with other operations.
Number Patterns and Properties: Students explore number patterns and relationships. They learn about properties of addition, such as the commutative and associative properties, and apply them to simplify calculations and solve problems.
Addition and Subtraction of Fractions: Grade 5 extends addition to fractions with like denominators. Students learn to add and subtract fractions by combining or separating parts and understand the relationship between fractions and whole numbers.
Throughout grade 5, students are expected to develop a conceptual understanding of addition and apply it to solve a variety of mathematical problems. They are encouraged to use both mental strategies and written methods, explain their thinking, and communicate their solutions effectively.
Number bonding to 1000
Identify pairs of multiples of 10 that bond to 1000
Number bonding to 10,000
Identify pairs of multiples of 100 that bond to 10,000
Number bond to zero
Identify the 3 numbers in the lists that have a sum of zero
String of 4 numbers
Use mental calculations to bond four 2-digit numbers
String of 5 numbers
Use mental calculations to bond five 2-digit numbers
Strings of 6 numbers
Use mental calculations to bond six 2-digit numbers
Rounding up to add
Identify the correct adjustment to make after rounding up to add
Rounding down to add
Identify the adjustment to make after rounding down to add
Rounding up and down
Use rounding up and down to simplify these additions
Estimate to add: 2-digit numbers
Estimate by rounding 2-digit numbers to 1 significant figure and then adding
Estimate to add: 3-digit numbers
Estimate by rounding 3-digit numbers to 1 significant figure and then adding
Estimate to add: 4-digit numbers
Estimate by rounding pairs of 4-digit numbers to 1 significant figure and then adding
2 people buy some items
Use addition and/or multiplication to calculate how much the 2 people spend in total
3 people buy some items
Use addition and/or multiplication to calculate how much the 3 people spend in total
Total cost: 4 items
Use addition to find out how much the 4 items cost in total
Formal addition: 2-digits + 3-digits
Find the missing number for these formal 2-digit plus 3-digit columnar additions
Formal addition: 3-digit numbers
Find the missing number for each of these formal 3-digit plus 3-digit columnar additions
Decimal numbers
Choose the correct missing number for these formal decimal number additions
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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