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7th Grade Skills in Math

Home > By Grade > 7th Grade Skills

The 7th Grade Skills below are based on the Common Core Standards For Mathematics. You can find out more about the Common Core Standards here.

You will also find a listing of related math resources (worksheets, charts, etc.) here.

Note: Math standards and curricula can vary by location or school. Check with your child’s school to determine what 7th grade math skills are expected in your location.

Ratios & Proportional Relationships

 

Calculating unit rates based on ratios that include fractions. e.g. if cyclist travels 1/4 of a mile in 1/6 of one hour there speed can be calculated as 1½ miles/ hour

Identifying and showing proportional relationships

View Related Worksheets and Resources (1 No.)

Solving ratio and percentage problems with multiple steps. e.g. percentage increase, interest rates, etc.

View Related Worksheets and Resources (7 No.)

 

The Number System

 
Adding and subtracting rational numbers. e.g. adding and subtracting with negative numbers. View Related Worksheets and Resources (9 No.)

Multiplying and dividing rational numbers. e.g. with negative numbers.

View Related Worksheets and Resources (2 No.)

Adding, subtracting, multiplying, and dividing with rational numbers to solve real-world problems.

 

Expressions & Equations

 

Adding, subtracting, factoring, and expanding linear expressions that include rational coefficients.

Recognizing that, if an expression is rewritten in a different form, it can better show the relationship between quantities. e.g. y + 0.25y = 1.25y shows that a 25% increase is the same as multiplying by 1.25.

Solving multi-step real-world problems involving positive and negative rational numbers in whole number, fractional, and/or decimal form and being able to mental estimate to determine if answers appear reasonable.

View Related Worksheets and Resources (12 No.)

Writing simple equations and inequalities to help solve real-world problems using variables to represent quantities.

View Related Worksheets and Resources (1 No.)

 

Geometry

 

Calculating full dimensions from scale drawings and redrawing these at a bigger or smaller scale.

Drawing figures from specified attributes including by hand, with a straight edge, with a protractor, and with other technology.

Describing the 2-D shapes that are generated by slicing through 3-D shapes in a plane.

Recalling and using the formulas for the area and the circumference of a circle. i.e. A = Πr2 and C = Πd

View Related Worksheets and Resources (3 No.)

Finding missing angles in a figure by writing and solving equations using knowledge of supplementary, complementary, and adjacent angles.

View Related Worksheets and Resources (5 No.)

Solving real-world problems that include calculating area, volume, and surface area a 2-D and 3-D objects.

View Related Worksheets and Resources (1 No.)

 

Statistics & Probability

 

Recognizing that statistics use a representative sample of the population to make generalizations about the whole population and knowing that randomly picked samples are usually best for this purpose.

Reasoning about an unknown characteristic by examining a random sample of data. e.g. predicting the mean age of the siblings of an entire class from a random sample of students.

Assessing the visual overlap of two numeric data sets with similar variability and expressing the difference in centers as a multiple of a measure of variability.

Using measures of center and of variability from random samples to compare two populations. e.g. find whether sentences in non-fiction books are longer or shorter than those in fiction books.

View Related Worksheets and Resources (1 No.)

Recognizing how a scale of 0 to 1 can be used to indicate the likelihood an event happening. e.g. the closer to 0 the less likely an event is, the closer to 1 the more likely an event is, and 1/2 (or 0.5) indicates that the chance of the event happening are the same as the chance of it not happening.

View Related Worksheets and Resources (3 No.)

Gauge the probability of an event by making observations and collecting and analyzing data to predict the number of times the event is likely to happen. e.g. if a dice is thrown 60 times, predict the number 4 will be thrown around 10 times.

View Related Worksheets and Resources (1 No.)

Finding the probability of an event by generating and using a probability model, comparing forecast and actual frequencies, and explaining reasons for any differences.

Finding the probability of compound events occurring.

View Related Worksheets and Resources (1 No.)

Browse for skills and worksheets at other grade levels by clicking in the table below.

Grade K 1 2 3 4 5 6 7 8
Skills click for kindergarten skills click for first grade skills click for second grade skills click for third grade skills click for fourth grade skills click for fifth grade skills click for sixth grade skills   click for eighth grade skills
Worksheets Click for kindergarten worksheets Click for first grade worksheets Click for second grade worksheets Click for third grade worksheets Click for fourth grade worksheets Click for fifth grade worksheets Click for sixth grade worksheets Click for seventh grade worksheets Click for eighth grade worksheets

 

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