Given problems that include data, the student will generate different representations, such as a table, graph, equation, or verbal description.

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

Given problem situations that include pictorial representations of irrational numbers, the student will find the approximate value of the irrational numbers.

Given problem situations, the student will express numbers in scientific notation.

The student is expected to gather and record data & use data sets to determine functional relationships between quantities.

Given a coordinate plane, the student will graph dilations, reflections, and translations, and use those graphs to solve problems.

Given a coordinate plane or coordinate representations of a dilation, the student will graph dilations and use those graphs to solve problems.

Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.

Given data in the form of a graph, the student will use the graph to interpret solutions to problems.

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

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 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.

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

Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.

Given statements about a geometric relationship, the student will use counter examples to disprove statements that are false.