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

Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.

Given data in table form, the student will use the data table to interpret solutions to 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.

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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 a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.

Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.

Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.

Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.

The student will apply the formula for the area of regular polygons to solve problems.

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.