The Means-Extremes property is used to solve proportions, which are then applied to the geometry of similar figures. Applications occur extensively throughout this chapter. Many of the application come from combining uses of the operations. The Distributive Property is used in applications involving discount and markup. By the end of this chapter, students are expected to be able to solve linear equations and inequalities with any kind of coefficients.
Students solve simple sentences involving addition with variables.
This chapter is very important for future work in geometry and trigonometry. The goal is for students to experience the satisfaction of solving a problem unlike any they have seen before. Subtraction is dealt with in equations, and the chapter concludes with work focusing on lines, angles, and the Triangle Sum Property. This chapter features two themes. The second theme is transformations.