
Introduction to Logical Reasoning
 Resource ID: MATH_GEO_LOGIC
 Grade Range: 9–12
 Subject: Math
This activity provides the opportunity to explore the validity of the converse, inverse, and contrapositive of statements. It also assists in recognizing the connections between biconditional statements and true conditional statements with a true converse.

Introduction to Probability
 Resource ID: MATH_GEO_PROB
 Grade Range: 9–12
 Subject: Math
This activity provides the opportunity to explore the difference between finding the probability of independent events and dependent events. It also addresses how to use a tree diagram when calculating conditional probabilities.

Connecting Postulates, Definitions, and Theorems
 Resource ID: GM1L1
 Grade Range: 9–12
 Subject: Math
The student will distinguish the difference between undefined terms, definitions, postulates, conjectures, and theorems. 
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.

Making and Verifying Conjectures about Polygons
 Resource ID: GM1L9
 Grade Range: 9–12
 Subject: Math
Students will investigate patterns and make conjectures about geometric relationships, including interior angles of polygons.

Making and Verifying Conjectures About Circles
 Resource ID: GM1L10
 Grade Range: 9–12
 Subject: Math
Given information about the relationship(s) witnin one circle or a set of circles, the student will explore special segments and angles of circles.

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.

Applying Pythagorean Triples to Solve Problems
 Resource ID: GM2L8
 Grade Range: 9–12
 Subject: Math
Given verbal and pictorial representations of problem situations, the student will apply patterns from right triangles whose sides are Pythagorean Triples to solve the problems.

Introduction to Coordinate Geometry
 Resource ID: GM3L6
 Grade Range: 9–12
 Subject: Math
The students will use multiple representations of undefined terms on a coordinate plane to solve problems.