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**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.**

**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 1 miles/ hour.**

**Identifying and showing proportional relationships**

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

**The Number System**

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

**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.

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

**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 = r 2 and C = d**

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

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

**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.**

**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.**

**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.**

**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.**

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

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