| 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.
Here are the key components of the math curriculum for place value for ages 10 to 11:
Whole Numbers: Students deepen their understanding of place value with whole numbers. They extend their knowledge of place value to include larger numbers, up to millions or billions, and develop skills in reading, writing, and representing these numbers in various forms.
Decimal Place Value: Students explore place value in decimal numbers. They learn to understand the role of the decimal point and its significance in dividing numbers into whole number and fractional parts. They practice reading, writing, and comparing decimal numbers with up to three decimal places.
Expanded Form: Students learn to represent numbers in expanded form. They break down numbers into their constituent place value parts, emphasizing the value of each digit. For example, 578 would be written as 500 + 70 + 8 in expanded form.
Rounding: Students develop skills in rounding numbers to a given place value. They learn to round whole numbers and decimals to the nearest ten, hundred, or other specified place value. Rounding helps them estimate and make approximations in calculations.
Ordering and Comparing Numbers: Students continue to practice ordering and comparing numbers. They use their understanding of place value to determine which numbers are greater or lesser. They also learn to order and compare decimal numbers, taking into account their place value positions.
Estimation: Students further develop their estimation skills using place value. They learn to use mental calculations and rounding to estimate sums, differences, products, and quotients. Estimation helps them check the reasonableness of their calculations.
Problem Solving: Place value concepts are applied to solve a variety of real-life and mathematical problems. Students analyze word problems, identify the relevant information, and apply their understanding of place value to find solutions. They also practice explaining their reasoning and justifying their answers.
The curriculum aims to foster a deeper understanding of place value and its applications. By the age of 10 to 11, students are expected to have a solid foundation in place value concepts and be ready to apply their knowledge in more complex mathematical contexts involving whole numbers and decimals.
To 8-digits: tens place value
Identify the value of the tens digit in each of these numbers up to 8-digits long
To 8-digits: hundreds place value
Identify the value of the hundreds digit in each of these numbers up to 8-digits long
To 8-digits: thousands digit
Identify the value of the thousands digit in each of these numbers up to 8-digits long
8-digit numbers: millions place-value
Identify the value of the millions digit for each these numbers up to 8-digits long
Round numbers up to 10,000
Use place value to round numbers up to 10,000 to the the given degree of accuracy
Multiply by 10, 100, 1000, 10,000
What do you need to multiply the given number by to change the green digit to the specified place value?
Divide by 10, 100, 1000
What do you need to divide by to make the green digit 5 into a hundred?
Multiply by 100
What will the place value of the highlighted green digit be after multiplying by 100?
Multiply by 1000
What will the place value of the highlighted green digit be after multiplying by 1000?
Multiply by 0.1
What will the place value of the highlighted green digit be after multiplying by 0.1?
Dividing by 10
What will the place value of the highlighted green digit be after dividing by 10?
Dividing by 100
What will the place value of the highlighted green digit be after dividing by 100?
Dividing by 0.1
What will the place value of the highlighted green digit be after dividing by 0.1?
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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