• Resource ID: GM4L9
• Grade Range: 9–12
• Subject: Math

### Determining the Surface Area of Cones and Cylinders

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

• Resource ID: GM4L10
• Grade Range: 9–12
• Subject: Math

### Determining the Volume of Cones and Cylinders

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

• Resource ID: GM4L14
• Grade Range: 9–12
• Subject: Math

### Making Conjectures about Parallel and Perpendicular Lines

The student will verify theorems about angles formed by parallel lines cut by a transversal and apply these relationships to solve problems.

• Resource ID: GM4L7
• Grade Range: 9–12
• Subject: Math

### Determining the Surface Area of Prisms and Pyramids

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

• Resource ID: GM4L8
• Grade Range: 9–12
• Subject: Math

### Determining the Volume of Prisms and Pyramids

Given a problem involving prisms or pyramids, the student will find the volume using appropriate units of measure.

• Resource ID: GM4L18
• Grade Range: 9–12
• Subject: Math

### Making Conjectures About Congruence Transformations

Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional and rotational symmetry in a plane figure.

• Resource ID: GM4L15c
• Grade Range: 9–12
• Subject: Math

### Making Conjectures About Other Polygons

Given information about the properties of polygons, students will verify theorems about the relationships, including the sum of interior angles, and apply these relationships to solve problems.

• Resource ID: GM5L6b
• Grade Range: 9–12
• Subject: Math

### Investigating and Applying Dimension Changes: Area

The student will describe the effects of changing one or more dimensions on the area of a figure.

• Resource ID: GM4L19
• Grade Range: 9–12
• Subject: Math

### Applying Triangle Congruence Relationships

Given congruent triangles, the student will justify and apply triangle congruence relationships.

• Resource ID: GM5L1
• Grade Range: 9–12
• Subject: Math

### Making Conjectures About Similar Figures

Given problem situations involving similar figures, the student will use and extend similarity properties and transformations to explore and justify conjectures about the given figures.

• Resource ID: GM2L5
• Grade Range: 9–12
• Subject: Math

### Developing Algebraic Expressions to Represent Properties of Angles in Circles

Given numerical and/or geometric patterns that represent angle relationships in circles, the student will investigate inscribed angle relationships.

• Resource ID: GM5L3
• Grade Range: 9–12
• Subject: Math

### Applying Right Triangle Ratios

The student will apply and prove the definition of similar triangles and identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean.

• Resource ID: GM5L5
• Grade Range: 9–12
• Subject: Math

### Applying Pythagorean Triples

Given problem situations involving similar figures, the student will apply and justify triangle similarity relationships such as Pythagorean triples.

• Resource ID: GM5L6a
• Grade Range: 9–12
• Subject: Math

### Investigating and Applying Dimension Changes: Perimeter

Given problem situations involving similar figures, the student will describe the effect on perimeter when one or more dimensions of the figure are changed and apply this idea in solving problems.

• Resource ID: GM5L6c
• Grade Range: 9–12
• Subject: Math

### Investigating and Applying Dimension Changes: Volume

The student will describe the effects of changing one or more dimensions on the volume of a 3-dimensional figure.

• Resource ID: MATH_GEO_LOGIC
• Grade Range: 9–12
• Subject: Math

### Introduction to Logical Reasoning

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.

• Resource ID: MATH_GEO_PROB
• Grade Range: 9–12
• Subject: Math

### Introduction to Probability

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.

• Resource ID: M7M3L16
• Grade Range: 7–8
• Subject: Math

### Drawing Conclusions about Three-Dimensional Figures from Nets

Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.

• Resource ID: GM4L15b
• Grade Range: 9–12
• Subject: Math

### Making Conjectures About Quadrilaterals

Given examples of quadrilaterals and their component parts, the student will use explorations and concrete models to prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals.

• Resource ID: GM4L6
• Grade Range: 9–12
• Subject: Math

### Applying Geometric Probability

The student will find the area of polygons and circles. Then, the student will use probability to solve real-world problems.