# Grade 6 Math Worksheets

Grade 6 is where we really start to do actual algebra. Not only solving for x, but using variables in the form of an expression. The main pre-algebra skill is to understand how to use variables to manipulate equations and expressions. Ratios and proportions really dominate the start of the year; although I have seen many teachers tackle the algebra portion of the curriculum first. Place value within a decimal setting are looked at often. This pivots to help students understand the relationship between a stated as a fraction, decimal, or percentage. Statistics is used heavily at this grade level, but mostly to understand data and the way it way be displayed. The year normally ends off with plotting ordered pairs on a coordinate graph. To enhance your learning environment, we also have 6th Grade Math Posters. Below you will find links to literally hundreds of printable worksheets and lessons for 6th graders.

### Ratios & Proportions Worksheets

- The Concept of Ratios (6.RP.A.1) - We introduce students to the concept of comparing one thing to another.
- Unit Rates and Ratios : The Relationship (6.RP.A.2) - We show how these two differ and relate.
- Ratio and Rates Word Problems (6.RP.A.3) - Word based problems that include rates and/or a ratio.
- Tape Diagrams / Bar Models (6.RP.A.3) - You will find these to be much more common on standard math assessments these days.
- Unit Rates with Speed and Price Word Problems (6.RP.A.3b) - These are specifically related to speed and pricing calculations.
- Percentage as a Rate per Hundred (6.RP.A.3c) - We show how rate and percentages are related and their proper usage.
- Find Percentages of Numbers (6.RP.A.3c) - A highly underrated skill in today's world.
- Ratios and Units of Measurement (6.RP.A.3d) -Converting measures between units is directly related to understanding ratios.
- Finding Percentages By Using Decimal Method (6.RP.A.3) - This relates decimals to percentages.
- Finding Percentages By Using Fraction Method (6.RP.A.3) - A less popular method, but helpful under the right conditions.
- Finding Percentages By Using Ratio Method (6.RP.A.3) - This is the most popular way of applying this.
- Finding the Percentage of a Decimal Value (6.RP.A.3) - We also include word and story problems for you to work with.
- How Much Greater Is The Percentage Value (6.RP.A.3) - This takes value comparisons to a new level by having you explain the degree in which something is greater than.

### The Number System Worksheets

- Interpret and Compute Quotients of Fractions (6.NS.A.1) - This is where we start to see the concept and usage of cross multiplication.
- Fractions of Integers (6.NS.A.1) - This is a helpful skill for personal finance.
- Long Division of Large Numbers (6.NS.B.2) - These values can get pretty cumbersome, if you don’t curtail your values.
- Basic Math Operations with Decimals (6.NS.B.3) - We go through the operations and usages with decimals.
- Addition of Decimals (6.NS.B.3) - The key here is to properly align your values before you begin.
- Adding and Subtracting Decimals and Fractions (6.NS.B.3) - I usually will yield to using decimal values, if I have my choice.
- Greatest Common Factor and Least Common Multiple (6.NS.B.4) - When you are trying simplify a fraction or series of fractions, we always come back to GCF and LCM.
- Factors of an Integer (6.NS.B.4) - This is a skill that applies to so many different areas of math.
- Prime Factorization and Factor Trees (6.NS.B.4) - These help you quickly find common factors between values.
- Understanding Positive and Negative Numbers (6.NS.C.5) - This is best explained with the help of a numbers line.
- Using Number Lines In Math (6.NS.C.5) - These are super helpful tools.
- Understand A Rational Number As A Point (6.NS.C.6a) - It should be explained that this applies to the value in linear terms.
- Understand Signs of Numbers in Ordered Pairs (6.NS.C.6b) - We make our way towards using the coordinate plane.
- Coordinate Graphing and Position (6.NS.C.6.C) - The best way to introduce this is with a healthy and friendly battleship game.
- Coordinate Planes (6.NS.C.6.C) - These are used in just about every type of navigation on Earth.
- Quadrants (6.NS.C.6.C) - We discuss the concept and uses of the four quadrant system.
- Inequalities and Numbers Lines (6.NS.C.7a) - Students often get tripped up on remembering whether an inequality diagram should be opened or closed.
- Ordering For Rational Numbers (6.NS.C.7b) - This is not as easy as it sounds.
- Working with Absolute Value (6.NS.C.7c) - When put in the context of the coordinate plane or a number line, absolute value has many uses.
- Absolute Value in Word Problems (6.NS.C.7d) - You will often only see word problems that relate to temperature across the Internet. We are much more creative than that.
- Using Graphs To Solve Real World Problems (6.NS.C.8) - This is what it is all about and why we put so much time into math.

### Expressions and Equations Worksheets

- Evaluating Numerical Expressions with Exponents (6.EE.A.1) - The goal is to isolate the value that has an exponent and work with it early on in the problem.
- Making Words With Calculator Fun (6.EE.A.1) - Come on, this is fun! We had to make a place for it on our site.
- Comparing Exponents (6.EE.A.1) - We are really just considering the end values.
- PEMDAS with Fractions, Decimals, and Exponents (6.EE.1) - The order of operations is difficult enough, but when you throw in different forms of values it can get frustrating.
- Evaluating Written Expressions (6.EE.A.2a) - All you need to do is make sense and apply the expression.
- Using Tables and Data Charts With Expressions (6.EE.A.2a) - When used properly, they can have a great deal of influence of how we view or interpret data.
- Expressions That Use Math Terms (6.EE.A.2b) - We help break those expressions down and don’t get too tripped up on terms that we come across.
- Expressions Used In Word Problems (6.EE.A.2c) - These can come in handy with statistics and probability problems.
- Basic Operations and Generating Equivalent Expressions (6.EE.A.3) - We work through rewriting and reforming expressions.
- Creating and Identifying Equivalent Expressions (6.EE.A.3) - This is where the foundations of computer programming start appearing in the math curriculum.
- Solve One-Variable Equations and Inequalities (6.EE.A.4) - It is all about getting a value to a single side.
- Combine Like Terms and Expand Terms (6.EE.A.4) - This can really simplify your life.
- Solving Equations and Inequalities (6.EE.B.5) - Understanding the differences between equations and inequalities is helpful.
- Using Variables to Represent Numbers (6.EE.B.6) - We explain why we do this and then how to approach it.
- Solve Real-world Mathematical Problems With Expressions (6.EE.B.7) - Expressions can really make understanding complex systems an easy task.
- Single Step Algebra Equation Solving (6.EE.B.7) - As basic as it gets.
- Conditional Expressions (6.EE.B.7) - Only under certain conditions can this help you make a change.
- Missing Factors Multiplication (6.EE.B.7) - This helps you put the factors together in one.
- Solving Simple Equations With Fractions and Decimals (6.EE.B.7) - The same fundamentals apply regardless of the number format.
- Single Step Algebra Problems (Addition and Subtraction Based) (6.EE.B.7) - You basically just need to reverse the sign as you move it across to the other side.
- Single Step Algebra Problems (Division and Multiplication Based) (6.EE.B.7) - It is not a huge leap from the last worksheet series.
- Inequality Constraint or Condition Word Problems (6.EE.B.8) - We these we are trying to gauge the optimal condition.
- Using Variables to Represent Two Quantities (6.EE.C.9) - Students get confused when they first see two variables in any setting.

### Geometry Worksheets

- Area of Irregular Shapes (6.G.A.1) - This builds off of the concept of working fitting regular shapes into those odd shapes.
- Find The Volume Of A Right Rectangular Prism (6.G.A.2) - The measure of height is usually where students go wrong here.
- Polygons in the Coordinate Plane (6.G.A.3) - The applications of this type of math is infinite it today's world.
- Using Nets to Understand 3-D Figures (6.G.A.4) - This takes a good spatial memory.
- Finding the Area of Composite Shapes (6.G.A.4) - You will find multiple ways to approach these problems. Choose the form that seems to work best for you.

### Statistics & Probability Worksheets

- Statistical Variability in Data (6.SP.A.1) - This measure gives you an idea of how much the data dances around.
- Mean, Median, and Range From Data Displays (6.SP.A.2) - We are working here without hard data.
- Stem and Leaf Plots (Related to 6.SP.A.2 (Not specifically part of standard)) - This is a form that short hand notation that gives you another option for displaying data.
- The Measure of Center of Data Sets (6.SP.A.3) - How tightly compact is your data?
- Summarizing and Interpreting Data Sets (6.SP.A.3) - If you want to frame a good argument, this is where you want to present this.
- Understanding Data Displays (6.SP.B.4) - There are many different ways to show off data.
- Math Patterns on Number Lines (6.SP.B.4) - Have the ability to recognize patterns is the goal for this whole section.
- Summarizing Numerical Data Sets (6.SP.B.5a & b) - This helps you form an explanation for the values you are seeing.
- The Attributes of Data and Units of Measure (6.SP.B.5b) - Understanding how to approach data and units of value.
- Measures of Mean, Median, Mode, and Range (6.SP.B.5c) - The measures of central tendency.
- Interquartile Range (6.SP.B.5c) - This is a measure of the middle values of your data set.
- Mean Absolute Deviation (6.SP.B.5c) - How far from the average does your data span.
- Frequency and Data Distribution (6.SP.B.5d) - This lets you know how common a data piece is.

### What Math Skills Should Students Know Before They Reach Grade 6?

Understanding what students need to learn in grade 6 starts with building off of what they already have mastered. At this point students should have a solid understanding of their math operations. They should be able to find the product of larger numbers. They should have a solid foundation rooted in decimals. They should be able to compare and round decimals. They should be comfortable performing math operations with both decimals (to hundredths). When it comes to fractions, they should have mastered finding a common denominator in addition to adding, subtracting, and comparing fractional values. When evaluating data sets grade 6 students should be able to create and understand how to appraise bar and line graphs. I also find that there is some level of crossover from other subjects, they are very comfortable with Venn diagrams at this level. Their geometry skills are ready to be heightened, but they know their way around a protractor. They should also be able to sort geometric shapes and be able to classify triangles, quadrilaterals, and commonly studied polygons. These core skills will provide them the foundation required to move to more advanced skills that they will tackle in grade 6. The best advice we could give to students is to be conscious of math endurance. Having patience is a key habit with this material.