
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.

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.

Coordinate Geometry: Special Segments
 Resource ID: GM3L8
 Grade Range: 9–12
 Subject: Math
The student will derive and use the slope and midpoint formulas to verify geometric relationship that include parallelism and perpendicularity of lines. Then, the student will determine an equation of a line parallel or perpendicular to a given line.

Coordinate Geometry: Length and Distance
 Resource ID: GM3L9
 Grade Range: 9–12
 Subject: Math
Given coordinates of points, the student will use the distance formula to solve problems involving length and distance.

Coordinate Geometry: Slope
 Resource ID: GM3L10
 Grade Range: 9–12
 Subject: Math
Given coordinate points, the student will use slope formulas to solve problems.

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.