5th grade (U.S.)

Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.)
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Arithmetic operations

Let's begin our journey together in 5th grade with good ole fashioned arithmetic. Don't assume that this has to be boring...not at all! We're going to have fun as we learn about and practice adding, subtracting, multiplying, and dividing whole numbers and decimals. We know you're probably pretty comfortable with basic arithmetic, so we'll try to challenge you a little more in these tutorials!


Learn to add, subtract, multiply, and divide fractions and mixed numbers.

Place value and decimals

To really understand how decimal numbers work, we need a deep understanding of place value. The big picture goal of these tutorials is to connect decimal place value to the idea of multiplying by 10.

Measurement and data

If you think about it, we measure almost everything: time, distance, size, weight, volume, etc. Every THING can be measured. The question is, what unit of measurement is used and how is that unit constructed, compared, and converted? This last part is what we explore in these tutorials.


We're going to stick our toes into the proverbial waters of geometry! For those of you that are visual learners you'll love this topic. We'll examine all kinds of lines and shapes in the 1st, 2nd, and 3rd dimensions. Topics we'll cover include the coordinate plane, plotting points, quadrilaterals, parallelograms, trapezoids, and rhombi (plural for a rhombus). Start your engines!

Algebraic thinking

Arithmetic is fun, but algebra is a blast! Look, nothing is easy the first time you try it so don't get discouraged. These tutorials will give you some straightforward explanations and examples to get you started down the road of algebraic thinking. We'll practice writing and evaluating numerical expressions, as well as seeing, interpreting, and graphing patterns and relationships between numbers. We're laying the foundation for lots of good learning ahead!


Learn to add, subtract, multiply, and divide fractions and mixed numbers.
Community Questions
All content in “Fractions”

Multiplication as scaling

Learn to see multiplication as a way to grow (scale up) and shrink (scale down) other numbers.