Given a conditional statement, the student will determine its validity and the validity of the converse, inverse and contrapositive.

Given the relationship(s) among a set of angles, the student investigates the patterns and makes conjectures about the geometric relationships, including angles formed by parallel lines cut by a transversal.

Students will investigate patterns and make conjectures about geometric relationships.

Given a conditional statement, the student will write its converse, inverse, and contrapositive.

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.

Students will practice identifying the converse, inverse, and contrapositive of conditional statements.

Given statements about a geometric relationship, the student will distinguish between the undefined terms, definitions, postulates, conjectures, and theorems to prove the statements are true.

Given examples of mathematics in the real world, the student will use properties of transformations and their composites to describe and perform transformations of figures in a plane.

The student will investigate patterns to make conjectures.

Given numerical and/or geometric patterns that represent geometric properties of polygons, the student will develop algebraic expressions that represent the geometric properties.

Given numerical and/or geometric patterns that represent geometric properties of angle relationships in polygons, the student will investigate patterns to make conjectures about interior and exterior angles of polygons.

Given characteristics of two lines, such as slopes and equations, the student will determine whether the lines are parallel, perpendicular, or neither.

Given a verbal and/or pictorial description of the intersection of a plane with various three-dimensional geometric figures, the student will describe and/or draw the intersection.

Given information about composite fiugres, the student will determine the area of composite 2-dimensional figures comprised of a combination of triangles and  parallelograms using appropriate units of measure.

Given a problem situation involving sectors of circles, the student will use proportional reasoning to solve the problem.

Given a problem involving cones or cylinders, the student will find the surface area using appropriate units of measure.