
Using Logical Reasoning to Prove Conjectures about Circles
 Resource ID: GM1L19
 Grade Range: 9–12
 Subject: Math
Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

Creating Nets for ThreeDimensional Figures
 Resource ID: GM3L2A
 Grade Range: 7
 Subject: Math
Given nets for threedimensional figures, the student will apply the formulas for the total and lateral surface area of threedimensional figures to solve problems using appropriate units of measure.

Drawing Conclusions about ThreeDimensional Figures from Nets
 Resource ID: M7M3L16
 Grade Range: 7–8
 Subject: Math
Given a net for a threedimensional figure, the student will make conjectures and draw conclusions about the threedimensional figure formed by the given net.

Generalizing Geometric Properties of Ratios in Similar Figures
 Resource ID: GM2L3
 Grade Range: 9–12
 Subject: Math
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.

Determining Area: Sectors of Circles
 Resource ID: GM4L3
 Grade Range: 9–12
 Subject: Math
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.

Making Conjectures About Circles and Segments
 Resource ID: GM4L16
 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 and relationships among the resulting segments.

Determining Area: Regular Polygons and Circles
 Resource ID: GM4L1
 Grade Range: 9–12
 Subject: Math
The student will apply the formula for the area of regular polygons to solve problems.

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.

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.