6th grade

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Ratios, rates, & percentages

Ratios, rates, and percentages are some of the most useful math concepts in real life (and what is REAL life anyway, huh?). From baking recipes to sports, these concepts wiggle their way into our lives on a daily basis.
Intro to ratios
Ratio word problems
Intro to rates
Intro to percents
Percent-decimal conversions
Percent problems
Percent word problems

Arithmetic operations

The most fundamental branch of math is arithmetic operations. It consists of adding, subtracting, multiplying, and dividing numbers. We're willing to bet that doing these operations on whole numbers is a piece of cake, but now we'll mix those numbers up with decimals and fractions. We'll also introduce the idea exponents as they become much more important moving forward. So sharpen that pencil and relax in your chair, we're going for a ride!
Adding decimals
Subtracting decimals
Adding and subtracting decimals word problems
Multiplying decimals
Dividing whole numbers
Dividing decimals
Dividing fractions by fractions
Exponents
Order of operations

Negative numbers

Negative numbers are a necessary part of our understanding of mathematics and the world. The idea of anything "negative" is often seen as "bad." Negative numbers are not only good, but they're fun! Walk through this tutorial with us and we'll show you how they are defined, interpreted, and applied. Absolute value is a type of negative number that is expressed as a positive. Confused? Don't be. We got your back.
Intro to negative numbers
Negative decimals & fractions on the number line
Number opposites
Comparing negative numbers
Absolute value
Coordinate plane

Properties of numbers

Learn how to find the least common multiple (LCM) and greatest common factor (GCF).
Properties of numbers
Whole numbers & integers
Least common multiple
Greatest common factor

Variables & expressions introduction

Learn what variables are and practice using them in expressions. The major concepts covered in these tutorials are substitution, the distributive property, and combining like terms.
Intro to variables
Substitution & evaluating expressions
Expression value intuition
Evaluating expressions word problems
Writing algebraic expressions introduction
Writing basic algebraic expressions word problems

Equations & inequalities introduction

Learn about equations and inequalities that have variables in them. These tutorials focus on solving equations and understanding solutions to inequalities.
Algebraic equations basics
One-step equations intuition
One-step addition & subtraction equations
One-step multiplication and division equations
One-step equation word problems
Finding mistakes in one-step equations
Intro to inequalities with variables
Dependent and independent variables

Equivalent expressions

Learn how we can combine like terms and use the distributive property to create equivalent expressions.
The anatomy of expressions
Combining like terms
The distributive property
Equivalent expressions

Geometry

Learn how to find the area, volume, and surface area of all sorts of geometric shapes. Also work with shapes on the coordinate plane.
Areas of parallelograms
Areas of triangles
Area of trapezoids & composite figures
Geometric solids (3D shapes)
Volume with fractions
Surface area
Polygons on the coordinate plane

Data and statistics

In statistics, we try to make sense of the world by collecting, organizing, analyzing, and presenting large amounts of data. For example, you may survey your friends about what tv show is most popular, but the small sample size will not give you an accurate idea of what ALL 6th graders like to watch. To do this you must survey a cross section of students from all around the country and all backgrounds. The data can then be statistically analyzed to give a more accurate picture of what tv show is most popular. So let's dive into a discussion of statistics, including box and whisker plots, bar charts, pictographs, line graphs, and dot plots.
Dot plots & frequency tables
Statistical questions
Histograms
Mean and median
Mean and median challenge problems
Interquartile range (IQR)
Box plots
Mean absolute deviation (MAD)
Comparing data displays
Shape of data distributions

Staff picks

Intro to rates
Intro to exponents
Ordering negative numbers
Expression value intuition
Intro to equations

Review articles

Absolute value review
Ratio review
Terms, factors, and coefficients review
Exponents review
Graphing inequalities review

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Intro to ratios
Ratios show up everywhere in life—sports, finance, medicine, cooking, you name it! In this tutorial, we learn what ratios are and how to use them.
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Community questions
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