· Understand rational and irrational numbers
· Work with radicals and integer exponents
· For example, estimate the population of the United States as 3 x 108 and the population of the world as 7 x 109, and determine that the world population is more than 20 times larger.
· Understand the connection between proportional relationships, lines, and linear equations and be able to graph them
· Understand that the unit rate of a proportional relationship is the slope of the graph
· Use similar triangles to explain slope and understand y = mx + b
· Analyze and solve linear equations with one variable and pairs of simultaneous linear equations
· Define, solve, and compare functions
· Understand that a function is a rule and the ordered pairs are input and output
· Build and use functions to model relationships
· Understand congruence and similarity
· Understand, use, and apply the Pythagorean Theorem
· Investigate patterns of sets of data
· Construct and interpret scatter plots
· Solve problems involving volumes of cylinders, cones, and spheres
· Construct and interpret scatter plots