# 7th Grade Math Worksheets

At this level students start getting much more familiar with equations and the use of expressions. The heat is turned up on geometry as they start to introduce just a little bit of trigonometry too. Statistics and probability is the most noticeable advance at this level. We venture into the use of compound events. Many students find it to be challenging. Grade 7 Math Posters can be a super help too.

### Ratios & Proportional Relationships Worksheets

- Unit Rates and Ratios of Fractions (7.RP.A.1)- Unit rates are just a very specific ration that compares two values each with their own units of measure.
- Recognizing Proportional Relationships (7.RP.A.2a)- You can spot relationships that are proportional by proving that they have the same rate. It is helpful if you write them as fractions first.
- The Constant of Proportionality (7.RP.A.2b)- We use this section to help us identify and make decisions based on mathematically relationships.
- Proportional Relationships Word Problems (7.RP.A.2c)- We identify and use proportional relationships to answer story based problems.
- Equivalent Ratios (7.RP.A.2c)- Students learn how to identify and create ratios that are equal.
- Graphs of Proportional Relationships (7.RP.A.2d)- We visualize the relationships that exist between proportional values or systems.
- Multistep Ratio and Percent Word Problems (7.RP.A.3)- These are your more difficult problems. You will need to pay specific attention to detail.
- Percent Error and Percent Increase (7.RP.A.3)- While this seems like meaningless math, there are literally tens-of thousands of people that make their living calculating this value for businesses.
- Markups and Markdowns Word Problems (7.RP.A.3)- You can test your ability with this at department stores. Why do some stores have nothing, but sales.
- Gratuities and Commissions, Fees, and Tax (7.RP.A.3)- This comes in very handy when you are having dinner at a restaurant. At least when the check comes to the table.
- Calculating Interest (7.RP.A.3)- When we are in school, this just some simple math. When we become grown-ups, this is a vital math formula we all need to understand, so that we are financially sound.
- Consumer Math (7.RP.A.3)- The forms of math we use when buying and selling anything in a real world situation. If there is one form of math you should master, this is it.
- Adding and Subtracting Percents and Decimals (7.RP.A.3)- While this seems like an easy task, many students often to pay attention to place values enough.
- Compare Percentages and Decimals (7.RP.A.3)- These two are interchangeable, with the movement of two decimal places.
- Finding Percent of Fractions Word Problem (7.RP.A.3)- I would recommend spending a little extra time on this skill.
- Percentages and Numbers Lines (7.RP.A.3)- We relate various fractions and percentages to their position on a numbers line.
- Percentage Decrease of Integers (7.RP.A.3)- Spending time with markups and a markdowns is a nice complement to this topic.
- Percentage Word Problems (7.RP.A.3)- Word problems that move and shake in financial markets.

### The Number System Worksheets

- Addition and Subtraction of Integers (7.NS.A.1)- We do this across all types of different problems (number line displays, word problems, and straight operational math).
- Absolute Value and Basic Operations (7.NS.A.1c)- Within these problems students learn how to handle absolute values found within operations.
- Products of Mixed Numbers (7.NS.A.2a)- Basically a three-step process: a) convert all mixed number to improper fractions B) multiply numerators together and the same for the denominators C) write the value in the simplest form.
- Creating Reciprocals (7.NS.A.2a)- Learn how to make reciprocals of whole numbers and fractions.
- Understanding Division of Integers (7.NS.A.2b)- We look at all the different uses of division.
- Multiplication and Division of Rational Numbers (7.NS.A.2c)- We look at all the various of rational numbers and put them through this operation.
- Convert Rational Numbers to Decimals (7.NS.A.2d)- We use visual grids at time to bring this to life more for students.
- Advanced Real World Math Operations (7.NS.A.3)- These are problems that you will encounter daily when you graduate.

### Expressions and Equations Worksheets

- Simplifying Linear Expressions (7.EE.A.1)- Combining like terms are the key here.
- Rewriting Expressions (7.EE.A.2)- In most cases you will be creating expressions based on math sentences.
- Real Life Middle School Math Word Problems (7.EE.B.3)- These problem types are right up your alley in this grade level.
- Business Math (7.EE.B.3)- These skills are necessary to be part of most of the workforce.
- Double Step Algebra (7.EE.B.3)- Find the variables, combine like terms, and then get the variables to one side.
- Integer Word Problems (7.EE.B.3)- This is where we need to learn to understand negative values, such as representing a loss of some kind.
- Word Problems Leading to Equations (7.EE.B.4a)- Start by identifying the variables you are working with.
- Word Problems Leading to Inequalities (7.EE.B.4b)- Before write symbols, I recommend reading the problem thoroughly.
- Consecutive Integer Problems (7.EE.B.4a)- These really helps in many different forms of computer programming.

### Geometry

- Scale Drawings of Geometric Figures (7.G.A.1)- This way you draw things on a small piece of paper that can be represented in a real life scale.
- Drawing Geometric Shapes with Given Conditions (7.G.A.2)- This is what architects do all day long.
- Decomposing Three-dimensional Figures (7.G.A.3)- This is a complex skill and require that have a sound understanding of basic geometric shapes.
- Area and Circumference of a Circle (7.G.B.4)- Think about all the math that goes into creating all the balls for different sports across the world.
- Angles in a Multi-Step Problems (7.G.B.5)- You will need to be able to identify complement and supplementary angles.
- Complementary and Supplementary Angles (7.G.B.5)- It is a good idea to follow this topic up with the worksheet topic just above this.
- 2D and 3D Area, Volume and Surface Area - 7.G.B.6)- These are three measures that greatly differ based on the shape you are working with.

### Statistics & Probability

- Understanding Random Sampling (7.SP.A.1)- Making sure you are working in a random environment helps to validate all your math and the hypothesis you develop off of it.
- Making Inferences From Random Data (7.SP.A.2)- You will first have to organize the data and then make your conclusions based on it.
- Working With Assessing Overlapping Data Sets (7.SP.B.3)- This can save you from a great deal of confusion.
- Measures of Center and Variability (7.SP.B.4)- This will help you understand how to spot outliers.
- Likelihood of a Single Event (7.SP.C.5)- I think about this every time I buy a lottery ticket.
- Probability of a Chance Event (7.SP.C.6)- Like being struck by lightening or having an asteroid fall on your home.
- Creating Probability Models (7.SP.C.7)- This will help you make predictions to very important events.
- Probabilities of Compound Events (7.SP.C.8)- When you have a few things to take into account before calculating probability.
- Finding the Probability of Compound Events By Using Diagrams, Lists, and Tables - 7.SP.C.8c)- Guess which career path these gets you ready for?

### What do students learn in Grade 7 math class?

Children that are studying in 7th grade are sharp and have the ability to grasp many math operations. Students in 7th grade are taught to solve math problems that touch every sub topic tactfully. The math curriculum covers all math strands and is not limited to just arithmetic. The most important math standards for this curriculum include number sense and operations, algebra, geometry, and spatial sense, measurements, data analysis, and probability. For students to clearly understand these concepts, interactive activities should be introduced. Worksheets, learning games, and assessments all contribute to critical thinking and efficient problem solving. With the help of various learning tools, students take more interest and readily solve math questions.

### Traits of Highly Effective Grade 7 Math Students

This is a very intimidating grade level for students, especially those students who have not had much success with the subject of math in the past. There are number of habits that we see common amongst students that thrive at this level. The first trait we see commonly among successful students is patience. When you reach this level, the problems will require more reading and more thought. Make sure that you organize yourself and slowly progress through these problems and exercises. When you first begin working at this level, take your time and organize your thought process. It is even good to get in the habit of outlining how you solve problems. You will make many mistakes along the way and that is perfectly naturally and learning from them will help you get it right. Which leads us to the second common trait shared by successful students and that is persistence. You will get problems wrong, you may even botch entire concepts, but if you stick at it, you will eventually begin to fully understand what is expected of you. The only thing you can count on in math is that there is rarely only one way to come to the correct conclusion. Stick it out through those tougher exercises and make that a personal habit. The last trait we see common among highly effective students is self-recognition. Understanding which study technique works best for you to be successful is key. If something did not work for you, try a different method. Rinse and repeat that until you find a winning formula. Even after you find out what works, keep fine tuning it.