Students in 7th grade begin with the factors and multiples, including prime factorization and the use of the greatest common factor and the least common multiple. They learn about the real number system and its properties. Students build on their knowledge of algebraic notations, expressions and formulas. They continue developing skills of algebraic manipulation and solve simple equations and inequalities with one variable. Students apply rates, ratios, proportions, and percent of increase and decrease to real world situations. A unit of geometric concepts angles, triangles and quadrilaterals, follows. Students analyze number patterns and sequences. Analytic Geometry is introduced with coordinates and linear graphs. Students will analyze and solve for the measurements of both plane figures (perimeter and area) and solids (surface area and volume). They conclude the year by developing an understanding of statistical thinking by handling and analyzing data and determining the probability of simple events.