# Seventh-Grade Mathematics Standards In seventh grade, students practice concepts such as equations and learn about pre-algebra. Here are some examples of what your daughter or son will learn over the year, questions to ask his or her teachers and tips for reinforcing math skills at home.

### Ratios and Proportional Relationships

1. Understand proportional relationships between numbers (slope) and graph them on the coordinate plane.
2. Solve real-life problems using percentages, rates and ratios.
Q: Suppose a bank offers an interest rate of 5% per annum (yearly) on a savings account that is compounded quarterly (4 times a year). A person deposits \$3,000 in the bank. How much money will be in the account at the end of one year?
A: Amount A after t years with a principal P and a per annum interest rate r, compounded n times per year. ### Number System

1. Work problems that involve positive and negative rational numbers.
2 + (-5) – (-3) = 2 – 5 + 3 = -3 + 3 = 0
2. Use addition, subtraction, multiplication and division to solve multistep problems that include fractions and decimals. ### Expressions and Equations

1. To solve word problems, write simple equations that represent a missing variable with x.
Q: Perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
A: 2. Solve equations that include both missing variables and fractions or decimals. ### Geometry

1. Understand scale and use it to find the area of two-dimensional objects and the surface area and volume of three-dimensional objects. Scale factor: Area of rectangle: ### Statistics and Probability

1. Learn about random and representative samples; use a random sample to draw a conclusion or make a comparison about a representative sample size.
Estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election on randomly sampled survey data.
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