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.

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 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 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.

Given a problem situation, the student will compare and order integers, percents, positive and negative fractions and decimals with or without a calculator.

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

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

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