# 6th Grade Math Posters

These posters are designed for your 6th grade math classes. Just print these great reminders out. Many teachers find that posting the topics of the week have helped their students improve quickly. We cover all the areas that are part of the math standards. We have a number of high-quality print outs available for you below. Make sure to print them at three-hundred or more dots per inch, if possible. We recommend you laminate all the posters so you can use them for a much longer time. It is helpful to post the topics as you cover them in class. |

### Ratios & Proportions

**The Concept of Ratios - 6.RP.A.1**

- Ratios Compare Things - The ratio of apples to oranges is 5:4 The ratio of cardinals to blue jays is 6:3
- Ratios In Words - Always put them in the same order as the question!

**Unit Rates and Ratios : The Relationship - 6.RP.A.2**

- Soda Prices - 5 large sodas cost $10.00 The ratio is 5:10.
- Oars to Canoes - Remember: Ratios keep the same proportion.

**Ratio and Rates Word Problems - 6.RP.A.3**

- Ratio Tables - Look at the ratios in the table. 3:6, 4:8, 5:10, 7:14. They all multiply the first number by 2 to get the second.
- Finding Equal Ratios - To find out, you can reduce, just like you do with fractions.

**Tape Diagrams / Bar Models - 6.RP.A.3**

- Tape Diagrams - Tape diagrams help you to model a problem. The parts of the tape represent the numbers.
- Ice Cream Cones - Use a tape diagram to model the problem.

**Unit Rates with Speed and Price Word Problems - 6.RP.A.3b**

- Kenny Drives Too Fast! - Kenny can drive his race car 200 miles in 2 hours. How long will it take him to go 800 miles?
- Tori's Bracelets - Tori makes bracelets to sell at the market. She earns $12.00 for every 4 bracelets she sells.

**Percentage as a Rate per Hundred - 6.RP.A.3c**

- Pie Slice - A percent is a part of a hundred.
- Back to School Word Problem - The shoe store had a back-to-school sale, with 20% off shoes.

**Find Percentages of Numbers - 6.RP.A.3c**

- Is Over Of - Use rates to find the whole number when given the percent.
- Friendly Dogs - 80 % of the dogs in the neighborhood are friendly.

**Ratios and Units of Measurement - 6.RP.A.3d**

- U.S. to Metric Conversions - Use these ratios to convert measurements.
- Miles to Kilometers - Mrs. Riley rode her bike for 3 miles. How many kilometers is that?

### The Number System

**Interpret and Compute Quotients of Fractions - 6.NS.A.1**

- Do the Flip! - That means you flip the second fraction upside down, and multiply by the new fraction.
- Reciprocals - Divide a fraction by a fraction.

**Fractions of Integers - 6.NS.A.1**

- Tapes to Visualize - Usually, when you divide, you get a lower number than what you started with.
- Candy for Halloween - Remember to multiply by the reciprocal, and expect the answer to be higher than the number you started with.

**Long Division of Large Numbers - 6.NS.B.2**

- Tips for Long Division - Remember to put the number of the answer above the correct digit in the number you’re dividing into.
- Steps for Long Division - Take one step at a time! There are 4 basic steps to repeat until the problem is solved.

**Basic Math Operations with Decimals - 6.NS.B.3**

- Add and Subtract with Decimals - To add and subtract with decimals, make sure you’ve got all your "ducks in a row".
- Multiply and Divide with Decimals - Count the total number of decimal places, and move the decimal that many spaces to the left in your answer.

**Addition of Decimals - 6.NS.B.3**

- Decimals as Fractions - A decimal is another way to show a fraction, or part of a whole number.
- Decimal Sums - Line them up and add them up!

**Adding and Subtracting Decimals and Fractions - 6.NS.B.3**

- Don't Forget Zeroes - When adding decimals, don't forget your old friend, zero!
- Subtracting Decimals - Line up your decimal points.

**Greatest Common Factor and Least Common Multiple - 6.NS.B.4**

- Greatest Common Factor - Factors are the numbers you can multiply together to get a certain number.
- Least Common Multiple - A multiple is what you get when you multiply a number by another.

**Factors of an Integer - 6.NS.B.4**

- Factors of a Number - Factors are the numbers you multiply to get a number.
- Factors and the Distributive Property - The distributive property says that: a (b + c)= ab + ac

**Prime Factorization and Factor Trees - 6.NS.B.4**

- Prime Factorization - Prime factors are all the factors of a number that are prime.
- Factor Trees - Factor trees help you to find the prime factors of a number. Keep factoring until you reach the prime factors.

**Understanding Positive and Negative Numbers - 6.NS.C.5**

- Positive and Negative Numbers - Positive Polly is always UP!! Negative Nellie is always DOWN!
- Positive and Negative Temperatures - Thermometer A: 15 degrees above zero-- positive 15, or +15.

**Understand A Rational Number As A Point - 6.NS.C.6a**

- On the Number Lines - All positive and negative numbers can be shown as points on a number line.
- Zero is its own Opposite! - There is no such thing as positive zero and negative zero, so zero is its own opposite!

**Understand Signs of Numbers in Ordered Pairs - 6.NS.C.6b**

- Ordered Pairs - Ordered pairs tell you where to plot a point on a coordinate plane.
- Ordered Pair Reflections - This happens when you have an ordered pair like (-2,9) and (2, 9).

**Coordinate Graphing and Position - 6.NS.C.6c**

- Numbers on a Number Line - Where is -7 1/2 on this number line?
- Pairs of Numbers in a Coordinate Plane - Then the y value, on the positive side: 5. Where they meet is the point.

**Inequalities and Numbers Lines - 6.NS.C.7a**

- Inequalities on a Number Line - How can -6 be less than 4?
- Negative Numbers on a Number Line - All the numbers to the right of it are greater.

**Ordering For Rational Numbers - 6.NS.C.7b**

- Ordering of Positive and Negative Numbers - A temperature of -10 degrees is lower than one at 10 degrees.
- Thermometers - A temperature of -20 degrees is lower than one at -5 degrees.

**Working with Absolute Value - 6.NS.C.7c**

- On a Number Line - Absolute value means the distance a number is from zero. It does not matter if it is positive or negative.
- The Absolute Value Symbol - The symbol for absolute value is two upright lines with a number in between.

**Absolute Value in Word Problems - 6.NS.C.7d**

- What's a Negative Balance - How much money does she need to put in the bank to avoid paying a fee for a negative balance?
- How Much Does Nathan Owe? - Nathan bought a beautiful ring for his Mom's birthday.

**Using Graphs To Solve Real World Problems - 6.NS.C.8**

- 4 Quadrants of a Coordinate Plane - Graph Points in all 4 Quadrants of a Coordinate Plane.
- Real-World Problems using a Coordinate Plane - What is the area of the rectangle?

### Expressions and Equations

**Evaluating Numerical Expressions with Exponents - 6.EE.A.1**

- Exponents - 5
^{3}is a "numerical expression". It's like an equation. - Numerical Expressions with Exponents - What is the value of 2
^{4}?

**Making Words With Calculator Fun - 6.EE.A.1**

- PEMDAS - The Order of Operations
- Evaluate Expressions - How do you solve this problem using the order of operations?

**Evaluating Written Expressions - 6.EE.A.2a**

- Writing Expressions - A variable is a letter that stands for a number.
- Using Variables in Word Problems - Write this as an expression with a variable.

**Using Tables and Data Charts With Expressions - 6.EE.A.2a**

- Multiplication in Algebraic Expressions - Since x is often used as a variable in place of a number.
- Using Parentheses - Nine less than a number, times 8?

**Expressions That Use Math Terms - 6.EE.A.2b**

- Parts of an Expression - Identify Parts
- Reading Expressions - 28 is the sum of the product of 4 and x and the product of 2 and 8.

**Geometric Expressions - Related to 6.EE.A.2c**

- Area of a Square - The area of a square is the square of its side.
- Area of a Cube - A cube has 6 sides. To find the area of all the sides, find the area of one side and multiply by 6.

**Generating Equivalent Expressions - 6.EE.A.3**

- Making Equivalent Expressions - To make an equivalent expression of 4(a + b), Multiply the 4 by both variables.
- Equivalent Expressions Tips - Tips for making equivalent expressions.

**Identifying Equivalent Expressions - 6.EE.A.3**

- Like Twins - Which expression is equivalent to 4(2x – 9) ?
- Factor It Out - Which expression is equivalent to 48x – 8?

**Solve One-Variable Equations and Inequalities - 6.EE.A.4**

- Vote For It! - Vote for the Equivalent Expressions!
- Combining Like Terms - If a variable has an exponent, it can only be added with the same variable and the same exponent.

**Combine and Expand Terms - 6.EE.A.4**

- Mix Them Together - When you combine like terms, you mix them together!
- Simplify by Expanding Terms - Multiply the 20 by both terms in parentheses.

**Solving Equations and Inequalities - 6.EE.B.5**

- Solving Equations - If you are given an answer to the equation, "plug it in" and see if it works.
- Solving Inequalities - The light socket.

**Using Variables to Represent Numbers - 6.EE.B.6**

- Sums and Differences - Kevin bought 5 model cars to add to his collection.
- Products and Quotients - Use a variable in a multiplication or division problem.

**Solve Real-world Mathematical Problems With Expressions - 6.EE.B.7**

- Real World Problems with Expressions - Professor Digger found a dinosaur bone that was 3 times larger than any he had found before.
- Steps for Solving Expressions - Determine which number you don’t know. (how many hours he worked, etc.)

**Single Step Algebra Equation Solving - 6.EE.B.7**

- Algebra Equation Solving - Have you ever seen a balance scale? They only way to make it balance is to make it the same on both sides.
- Solving Algebra Equations - You have to get b by itself, so the 3 has to go!

**Conditional Expressions - 6.EE.B.7**

- Conditional Expressions - A conditional expression is a statement with an if. It only works if something else is true.
- The Conditional Steps - Follow the path to solving conditional expressions.

**Inequality Constraint or Condition Word Problems - 6.EE.B.8**

- Using Inequalities in Real World Problems - An inequality compares two things that are not equal. Billy and his Grandpa are not equal in age. Grandpa is 65.
- Graphing Inequalities - We can use a graph to show inequalities.

**Using Variables to Represent Two Quantities - 6.EE.C.9**

- Dependent and Independent Variables - We need to know how many dogs he walks to know how much money he makes.
- Which is Independent? - Represent how much money Maria earns.

### Geometry

**Finding the Area of Odd Shapes - 6.G.A.1**

- Find the Area of a Right Triangle - A right triangle is half of a rectangle.
- Area of an Equilateral Triangle - In an equilateral triangle all the sides are equal.

**Find The Volume Of A Right Rectangular Prism - 6.G.A.2**

- Volume of a Right Rectangular Prism - Volume is the amount of space inside a 3- dimensional object.
- The Area of a Rectangular Prisms - With the formula for the volume, you can find the volume of a rectangular container of any size.

**Polygons in the Coordinate Plane - 6.G.A.3**

- Draw Polygons on the Coordinate Plane - What is (-2, 2) on the coordinate plane?
- Which Axis? - What shape does it make?

**Using Nets to Understand 3-D Figures - 6.G.A.4**

- One, Two, and Three Dimensional Figures - One Dimension has only length.
- Terms for Three Dimensional Solids - Faces are flat surfaces.

**Finding the Area of Composite Shapes - 6.G.A.4**

- What is a Prism? - A prism is a 3-dimensional figure with two bases that are polygons.
- Using Nets to Understand 3D Figures - A net is a flattened out 3-D figure. Use your knowledge of the parts of a 3-D figure to put the net together in your mind.

### Statistics & Probability

**Statistical Variability in Data- - 6.SP.A.1**

- Asking Statistical Questions - A statistical question is one that has a variety of answers.
- Design a Statistical Question - It seems as if the students are not eating as much fruit at lunch as they used to.

**Mean, Median, and Range From Data Displays - 6.SP.A.2**

- Measures of Center - The median, or center, of a set of numbers is the one exactly in the middle.
- The Mean or Spread of Data - What is the mean, also called the spread?

**Sizing Up Data- Related to 6.SP.A.2**

- Range and Shape - What is the range, also called the overall spread of this data set?
- Shape of Distribution of Data - Graphed data make different shapes.

**The Measure of Center of Data Sets - 6.SP.A.3**

- Summarize Data Sets - Both measure the center of the data and summarize the set of numbers.
- How the Data is Spread - The center of Daisy's data is 37.

**Summarizing and Interpreting Data Sets - 6.SP.A.3**

- Dot Plots - Frankie took a survey of the kids in his class.
- Histograms - A histogram is different from a bar graph because it shows ranges.

**Understanding Data Displays - 6.SP.B.4**

- Quartiles - A quartile is a median of a half.
- Box Plot - make a number line that includes the lowest and highest numbers.

**Summarizing Numerical Data Sets - 6.SP.B.5a & b**

- Number of Observations - To determine the number of observations in a line plot, we count how many marks there are.
- Histograms - How do we determine the number of observations in the histogram?

**The Attributes of Data and Units of Measure - 6.SP.B.5b**

- Attributes of Line Plots - What is being measured on this line plot?
- Attributes of Histograms - What is being measured in the histogram?

**Measures of Mean, Median, Mode, and Range - 6.SP.B.5c**

- Mean, Median, and Mode - Mean: average of two or more numbers. Hint: this one is mean because it a takes longest to figure out!
- Absolute Mean Deviation - Mean Absolute Deviation (MAD): the average distance between each data point and the mean.

**Interquartile Range - 6.SP.B.5c**

- Interquartile Range - The Interquartile Range (IQR) is the difference between the upper and lower quartiles.
- MAD Dot Plots - Find the distance of each data value from 2.

**Mean Absolute Deviation - 6.SP.B.5c**

- Center of Data Measure - Mode: If the most often occurring number is the highest or lowest data value, it does not give a good picture of the center.
- Mean vs. MAD - IQR (Interquartile Range) is the difference between the upper and lower quartiles.

**Frequency and Data Distribution - 6.SP.B.5d**

- Patterns in Dot Plots - Clusters are data points grouped together.
- Patterns in Histograms - Symmetry means the two sides are the same.