By the end of seventh grade students are adept at manipulating numbers and equations and understand the general principles at work. They understand and use factoring of numerator and denominators and properties of exponents. They know the Pythagorean Theorem and solve problems where they compute the length of an unknown side. Students know how to compute the surface area and volume of basic 3-D objects and understand how they change under a change in scale.
Students convert between different units of measurement.
They increase their facility with ratio and proportion and compute percentages of increase and decrease and simple compound interest. They graph linear functions and understand the idea of slope and its relation to ratio. Students use exponents, powers, and roots and use exponents in working with fractions. Understand negative whole number exponents. Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in terms of the situation represented by the graph Students interpret and evaluate expressions involving integer powers and simple roots.