﻿ List of 7th Grade Math Skills

# 7th Grade Skills in Math

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 their 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 (8 No.)

## The Number System

Adding and subtracting rational numbers. e.g. adding and subtracting with negative numbers. View Related Worksheets and Resources (12 No.)

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

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

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## 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.

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

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## 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

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

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

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## 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.

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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.

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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.

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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.

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

 Grade Resources Skills Kindergarten 1st 2nd 3rd 4th
 Grade Resources Skills 5th 6th 7th 8th