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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!

Fractions

Hey...we know that fractions may not be your favorite thing. But these little guys already feel inferior to their whole number big brothers, so cut them some slack. Besides that, using fractions isn't too hard once you get the idea and start practicing. So let's go! In this group of tutorials you'll be adding, subtracting, multiplying, and dividing fractions, whole numbers, and mixed numbers.

Place value and decimals

Here begins our journey towards a thorough understanding of place value and decimals! Too often, students allow themselves to be intimated by decimals and fail to see that they are simply expressing a difference in the powers of ten. No worries! Just follow along with us. These tutorials and videos will lay the groundwork for later understanding of more complicated concepts. In addition to decimals, place value, and powers of 10, we'll look at regrouping, comparing and rounding decimals too.

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.

Geometry

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!
Fractions
Hey...we know that fractions may not be your favorite thing. But these little guys already feel inferior to their whole number big brothers, so cut them some slack. Besides that, using fractions isn't too hard once you get the idea and start practicing. So let's go! In this group of tutorials you'll be adding, subtracting, multiplying, and dividing fractions, whole numbers, and mixed numbers.
All content in “Fractions”

Adding and subtracting fractions

You've already got 2 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet fudge cake calls for 3 and 1/3 cups of sugar. How much sugar do you need to borrow from you robot neighbor? Adding and subtracting fractions with unlike denominators is key. It might be a good idea to look at the equivalent fractions tutorial before tackling this one. Common Core Standard: 5.NF.A.1

More adding and subtracting fractions, and mixed numbers

You know what a fraction is and are now eager to apply this knowledge to real-world situations? Well, you're about to see that adding and subtracting fractions is far more powerful (and fun) then you've ever dreamed possible. But wait...there's more! We'll also throw in some mixed number addition and subtraction. No extra charge! Common Core Standard: 5.NF.A.2

Multiplying fractions

We're about to have fraction fun! Life doesn't always happen in whole numbers. All around you are fractions that you will need to multiply--sometimes by whole numbers and other times by other fractions. This tutorial will give you a great conceptual and practical understanding of how and why you multiply fractions. Common Core Standards: 5.NF.B.4, 5.NF.B.4a, 5.NF.B.4b, 5.NF.B.5, 5.NF.B.5a, 5.NF.B.5b

Dividing fractions

This is one exciting tutorial. In it, we will understand that fractions can represent division (and the other way around). Then we will create fractions by dividing whole numbers and then start dividing the fractions themselves. We'll see that dividing by something is the exact same thing as multiplying by that thing's reciprocal! Common Core Standards: 5.NF.B.3, 5.NF.B.7, 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c