
Making Conjectures About Circles and Angles
 Resource ID: GM4L16a
 Grade Range: 9–12
 Subject: Math
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.

Solving Problems With Similar Figures
 Resource ID: GM5L2
 Grade Range: 9–12
 Subject: Math
Given problem situations involving similar figures, the student will use ratios to solve the problems.

Determining the Validity of Conditional Statements
 Resource ID: GM1L6
 Grade Range: 9–12
 Subject: Math
Given a conditional statement, the student will determine its validity and the validity of the converse, inverse and contrapositive.

Making and Verifying Conjectures about Angles
 Resource ID: GM1L7
 Grade Range: 9–12
 Subject: Math
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.

Making and Verifying Conjectures about Lines
 Resource ID: GM1L8
 Grade Range: 9–12
 Subject: Math
Students will investigate patterns and make conjectures about geometric relationships.

Writing the Converse, Inverse, and Contrapositive
 Resource ID: GM1L5
 Grade Range: 9–12
 Subject: Math
Given a conditional statement, the student will write its converse, inverse, and contrapositive.

Making and Verifying Conjectures about ThreeDimensional Figures
 Resource ID: GM1L11
 Grade Range: 9–12
 Subject: Math
Students will explore volume conjectures and solve problems by applying the volume formulas to composite figures.

Constructing and Justifying Statements about Geometric Figures
 Resource ID: GM1L12
 Grade Range: 9–12
 Subject: Math
Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.

Using Counter Examples to Disprove Statements That Are False
 Resource ID: GM1L14
 Grade Range: 9–12
 Subject: Math
Given statements about a geometric relationship, the student will use counter examples to disprove statements that are false.

Using Inductive Reasoning to Formulate Conjectures
 Resource ID: GM1L15
 Grade Range: 9–12
 Subject: Math
Students will practice identifying the converse, inverse, and contrapositive of conditional statements.

Using Logical Reasoning to Prove Statements are True
 Resource ID: GM1L13
 Grade Range: 9–12
 Subject: Math
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.

Using Properties of Transformations
 Resource ID: GM2L6
 Grade Range: 9–12
 Subject: Math
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.

Developing Algebraic Expressions to Represent Geometric Properties
 Resource ID: GM2L1
 Grade Range: 9–12
 Subject: Math
The student will investigate patterns to make conjectures.

Developing Algebraic Expressions to Represent Geometric Properties of Polygons
 Resource ID: GM2L2
 Grade Range: 9–12
 Subject: Math
Given numerical and/or geometric patterns that represent geometric properties of polygons, the student will develop algebraic expressions that represent the geometric properties.

Developing Algebraic Expressions to Represent Geometric Properties of Angle Relationships in Polygons
 Resource ID: GM2L4
 Grade Range: 9–12
 Subject: Math
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.

Coordinate Geometry: Parallel and Perpendicular Lines
 Resource ID: GM3L7
 Grade Range: 9–12
 Subject: Math
Given characteristics of two lines, such as slopes and equations, the student will determine whether the lines are parallel, perpendicular, or neither.

Describing and Drawing Cross Sections
 Resource ID: GM3L1
 Grade Range: 9–12
 Subject: Math
Given a verbal and/or pictorial description of the intersection of a plane with various threedimensional geometric figures, the student will describe and/or draw the intersection.

Determining Area: Composite Figures
 Resource ID: GM4L2
 Grade Range: 9–12
 Subject: Math
Given information about composite fiugres, the student will determine the area of composite 2dimensional figures comprised of a combination of triangles and parallelograms using appropriate units of measure.

Determining Arc Length
 Resource ID: GM4L4
 Grade Range: 9–12
 Subject: Math
Given a problem situation involving sectors of circles, the student will use proportional reasoning to solve the problem.

Determining the Surface Area of Cones and Cylinders
 Resource ID: GM4L9
 Grade Range: 9–12
 Subject: Math
Given a problem involving cones or cylinders, the student will find the surface area using appropriate units of measure.