# The California Mathematics Content Standards

## Grade Seven Mathematics Content Standards

By the end of grade seven, students are adept at manipulating numbers and equations and
understand the general principles at work. Students understand and use factoring of
numerators and denominators and properties of exponents . They know the Pythagorean
theorem and solve problems in which they compute the length of an unknown side.
Students know how to compute the surface area and volume of basic three-dimensional
objects and understand how area and volume change with a change in scale. Students make
conversions between different units of measurement. They know and use different representations
of fractional numbers (fractions, decimals, and percents) and are proficient at
changing from one to another. They increase their facility with ratio and proportion ,
compute percents of increase and decrease, and compute simple and compound interest.
They graph linear functions and understand the idea of slope and its relation to ratio.