Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.

Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line.

Given a set of data, the student will be able to generate a scatterplot, determine whether the data are linear or non-linear, describe an association between the two variables, and use a trend line to make predictions for data with a linear association.

Given information in a geometric context, students will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Given a graph of two simultaneous equations, students will be able to interpret the intersection of the graphs as the solution to the two equations.

Given rotations, reflections, translations, and dilations, students will be able to develop algebraic representations for rotations, and generalize and then compare and contrast the properties of congruence transformations and non-congruence transformations.

Given a set of data with no more than 10 data points, students will be able to determine and use the mean absolute deviation to describe the spread of the data.

Given a population with known characteristics, students will be able to use a variety of methods to generate random samples of the same size in order to understand how a random sample is representative of a population.

Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.

Given a figure, the student will identify the scale factor used for a dilation, and use a dilation by a scale factor, including enlargements and reductions, to generate similar figures.

Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.

Given pictorial representations and problem situations of 2-dimensional figures or 3-dimensional figures, the student will use proportional reasoning to find a missing measurement.

Given a problem situation in verbal form, students will select and use an operation involving rational numbers in order to solve the problem.

Given real-life problems, the student will select an appropriate method and solve problems involving proportional relationships.

The student will investigate and develop the concept of dependent probability, including formalizing procedures related to dependent probability and applications of dependent probability.

Given concrete models and nets (2-dimensional models) of prisms, pyramids, and cylinders, the student will find and determine the lateral and total surface area.

Given problem situations, the student will determine if the solutions are reasonable.

Given application problems, the student will use appropriate tables, graphs, and algebraic equations to find and justify solutions to problems.

Given a problem situation, the student will analyze data presented in graphical or tabular form by evaluating the predictions and conclusions based on the information given.

Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.