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

Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.

Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.

Given similar figures, the student will use critical attributes to define similarity.

Given a problem situation, students will use experimental data or theoretical probability to make predictions and determine solutions to situations involving independent events.

Given problem situations that include given or collected data, the student will analyze the data and make inferences and convincing arguments based on the data.

Given problem situations involving rational numbers, the student will select and use appropriate methods to solve the problems.

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.

This activity provides an opportunity for students to explore the ratio of the circumference of its circle to the length of its diameter in order to generalize the ratio for pi.

Given nets for three-dimensional figures, the student will apply the formulas for the total and lateral surface area of three-dimensional figures to solve problems using appropriate units of measure.

Given problem situations, the student will select and use appropriate operations to solve problems and justify the choice of operations.

Given problem situations, the student will use addition, subtraction, multiplication, and division to solve problems involving positive and negative fractions and decimals.

Given problem situations, the student will graph data with a constant rate of change to demonstrate relationships in familiar concepts, such as scaling.