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.

Given problem situations involving similar figures, the student will use ratios to solve the problems.

Given problem situations, the student will find the probability of the dependent and independent events.

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.

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

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

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 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.

Students will explore volume conjectures and solve problems by applying  the volume formulas to composite figures.