4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.)
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# Fractions

In 3rd grade, you got a basic conceptual understanding of what a fraction is. Awesome. Now we dig deeper by comparing fractions and starting to perform operations on them. We also see how they relate to decimals. Some of the skills we'll cover here include visualizing equivalent fractions; comparing, adding (with like and unlike denominators), subtracting, and decomposing fractions; adding, subtracting and changing mixed numbers; changing improper fractions; multiplying whole numbers and fractions; and rewriting fractions as decimals.
All content in “Fractions”

## Equivalent fractions

Do you want 2/3 or 4/6 of this pizza? Doesn't matter because they are both the same fraction. This tutorial will help us explore this idea by really visualizing what equivalent fractions represent. We'll also throw some word problems at you to get you thinking about how to solve real-life equivalent fraction problems. Common Core Standard: 4.NF.A.1

## Comparing fractions

In this tutorial, we'll practice understanding fractions and how to best compare them to each other. Two ideas are important here: simplify the fractions and find the common denominator. Common Core Standard 4.NF.A.2

## Adding and subtracting fractions with common denominators

You've already got 1/4 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet-fudge-cake calls for 3/4 cups of sugar. How much sugar do you need to borrow from you robot neighbor? Adding and subtracting fractions is key. In this quick tutorial we'll focus on fractions with like denominators. Common Core Standards 4.NF.B.3, 4.NF.B.3a

## Word problems: Adding and subtracting fractions

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!

## Mixed numbers

We can often have fractions whose numerators are not less than the denominators (like 23/4 or 3/2 or even 6/6). These top-heavy friends are called improper fractions. Since they represent a whole or more (in absolute terms), they can also be expressed as a combination of a whole number and a "proper fraction" (one where the numerator is less than the denominator) which is called a "mixed number." They are both awesome ways of representing a number and getting acquainted with both (as this tutorial does) is super useful in life! Common Core Standard: 4.NF.B.3c

## Decomposing fractions

In this tutorial, we'll see that a fraction can be broken up (or decomposed) into a bunch of other fractions. You might see the world in a completely different way after this. Common Core Standard: 4.NF.B.3b

## Multiplying whole numbers and fractions

If I cut a pizza into eight equal slices, we already know that each slice is 1/8 of the pizza. But what fraction of the pizza have I eaten if I eat 3 slices? Well, what is 3 x 1/8? This tutorial will explain all! Common Core Standards: 4.NF.B.4, 4.NF.B.4a, 4.NF.B.4b , 4.NF.B.4c

## Decimals and fractions

Decimals and fractions are two different ways of representing the same number. In this tutorial, we'll explore converting between the two and thinking about what exactly decimals represent. Common Core Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.7

## Adding fractions with unlike denominators

We've already had some good practice adding fractions with like denominators. We'll now begin to explore adding fractions with unlike denominators. In particular, we'll think about adding fractions with denominators of 10 and 100. Later on, in 5th, grade we'll extend this to adding fractions of any denominator to fractions of any denominator.

## Rewriting fractions as decimals

We already know that the same quantity can be represented as a decimal or a fraction. In this tutorial, we'll begin to see how a fraction can be rewritten as a decimal. The trick is to make sure the fraction has been reduced or simplified as much as possible, then to convert the fraction so that you're dealing with tens or hundreds--a much friendlier environment for our decimal friends!