Seventh-Grade Mathematics Standards

seventh-grade-mathIn 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: interest
    Amount A after t years with a principal P and a per annum interest rate r, compounded n times per year.
    interest

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.
    fractions

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: perimeter
  2. Solve equations that include both missing variables and fractions or decimals.
    fractions

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
    Scale factor: scale
    Area of rectangle: scale

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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