4th grade (U.S.)

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.)
Community Questions

Addition and subtraction

Fourth grade is the time to really fine-tune your addition and subtraction skills to the point that you can add and subtract pretty much any multi-digit, whole number!

Multiplication and division

Let's continue on the multiplication and division adventure that was started in third grade. We'll think about multiplying and dividing with whole numbers and discover that sometimes we have a leftover, or a remainder, when we divide. These tutorials will also help you get comfortable with multiplying multi-digit numbers, long division, and solving word problems. Let's do this people!

Fractions

Learn how to do basic arithmetic with fractions (add, subtract, and multiply). Also learn about mixed numbers and equivalent fractions, and use this knowledge to compare fractions with unlike denominators.

Decimals

Learn what decimal numbers are, and see how decimals are related to fractions. Along the way, find decimals on the number line, convert between fractions and decimals, and compare decimals.

Measurement and data

When we measure anything, we do it in human-defined 'units'. Different units were defined in different places and for different scales. The two most common are U.S. customary units and metric units. Let's think about how to convert between and among them! We'll also continue thinking about perimeter and area!

Geometry

Finally, we're getting to geometry. We've been waiting for this and hope you have been, too. The foundation of all geometry is the line--so that's a great place to start. From there we'll move into angles, quadrilaterals, and triangles. Our goal here is to get familiar with the basic concepts, skills, and applications of geometry. So jump in and let's go for a ride!

Factors, multiples and patterns

We know that 3x2x5 = 30. So 2, 3, and 5 are factors of 30. 30 is a multiple of each of 3, 2, and 5. If a number only has itself and 1 as factors, then the number is "prime". Don't worry, this is explained in much more depth in the tutorials in this topic. We will also explore some mathematical patterns.

Place value and rounding

We've been exploring place for a while, thinking about ones, tens, and hundreds. But now we're ready to tackle all whole numbers, including numbers in the thousands, millions, and beyond!

Geometry

Finally, we're getting to geometry. We've been waiting for this and hope you have been, too. The foundation of all geometry is the line--so that's a great place to start. From there we'll move into angles, quadrilaterals, and triangles. Our goal here is to get familiar with the basic concepts, skills, and applications of geometry. So jump in and let's go for a ride!
Community Questions
All content in “Geometry”

Basic geometry: lines, line segments and rays

Let's draw points, lines, line segments, and rays. We'll also think about perpendicular and parallel lines and identify these in two-dimensional figures. Common Core Standard: 4.G.A.1

Angles

What is an angle and how do we label, measure and construct them? Great question. Luckily we have all your answers! To begin our journey towards understanding angles, we'll learn terms like vertex, acute, obtuse, circle arc, circumference, and protractor. These basic angle concepts will get you on the road to angle domination! Common Core Standards: 4.MD.C.5, 4.MD.C.5a, 4.MD.C.5b, 4.MD.C.6, 4.MD.C.7, 4.G.A.1

Interpreting and constructing angles

Now that we know what angles are, let's dig a bit deeper and classify them and understand their properties better. Acute, obtuse, right, adjacent--all are angles that we will be become familiar with. We'll all also examine how intersecting lines play a role. Lots of great stuff in this tutorial, so pull up a chair and get your angle on! Common Core Standards: 4.MD.C.7, 4.G.A.1

Line of symmetry

A line of symmetry for a two-dimensional figure is a line across the figure such that the figure can be folded along the line into matching parts. In this tutorial, we'll identify line-symmetric figures and draw lines of symmetry. Common Core Standard: 4.G.A.3

Classifying quadrilaterals

Quadrilateral come in many shapes and sizes. We've got squares, rectangles, rhombi, parallelograms, kites, trapezoids, and more! Let's analyze the properties of these shapes and come up with a system for classifying them.

Classifying triangles

Triangles can be classified in different ways. In this tutorial, we'll learn about scalene, isosceles, equilateral, acute, right, and obtuse triangles.