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By the 6th grade, you're starting to become a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
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Geometry
Here in 6th grade, we start to really understand the fundamentals of Euclidian Geometry. As we've said before, the world around you is built with geometric shapes. Heck, even YOU are built with geometric shapes! Having an appreciation and understanding of how we study, measure, and create these shapes helps us to improve our lives. In this group of tutorials we'll explore plotting points and interpreting the coordinate plane; and measuring area, volume, and surface area of geometric shapes--including different types of polygons.
All content in “Geometry”

Coordinate plane

We first explored the coordinate plane in the 5th grade, but that was only dealing with positive coordinates. Now we know all about negative numbers so why not have negative coordinates as well? Let's get cozy with the x and y axis, plotting ordered pairs, quadrants, and reflection points. We got it covered. Sit back, relax, and get ready to groove with us. Common Core Standards: 6.NS.C.6, 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8

Finding area

Let's now extend our understanding of area from triangles into more interesting shapes like quadrilaterals! We'll examine how to find the area of parallelograms, trapezoids, kites, and oddly shaped quadrilaterals. Finding the area of geometric shapes like these is a really important skill. Imagine buying carpet for your bedroom...or fertilizer for your lawn? You'll need to know the area of these shapes. There are lots of real life applications! Common Core Standard: 6.G.A.1

Volume and surface area

Ever wonder how a painter knows how much paint to buy to cover the exterior of your house? Or how much water you'll need to fill up your aquarium? Let's explore the volume and surface area of 3D shapes, such as rectangular prisms, rectangular triangles, and nets of ployhedra. These are fancy names for common shapes which you encounter all the time. Common Core Standards: 6.G.A.2, 6.G.A.4

Polygons in the coordinate plane

We've learned about polygons and have explored all four quadrants of the coordinate plane. Now, let's combine those skills to draw, measure, and solve problems with parallelograms and quadrilaterals in the coordinate plane. Common Core Standards: CC.6.G.A.3