Seventh Grade Math

Students begin by extending and applying properties of operations to add, subtract, multiply, and divide rational numbers including converting between fraction and decimal forms in order to solve multi-step problems with rational numbers presented in different forms and including all four operations.  This work with operations of rational numbers acts as a transition into expressions and equations where students learn to add, subtract, factor, and expand linear expressions as well as solve two-step equations and inequalities all with rational coefficients with application to exploring angle relationships and geometric formulas (including the formulas for the circumference and area of circles; the area, surface area, and volume of right prisms composed of triangles and quadrilaterals).  Students then use the concepts learned to recognize and represent proportional relationships in various forms (tables, graphs, equations, etc.) with whole number and complex fraction unit rates.  This work with proportions leads to percent application problems (markups, mark downs, percent change, etc.) and problems involving scale drawings.  Lastly, students understand and apply probability models around simple and compound events and explore random sampling of populations so that they are able to draw inferences about a population and compare them.