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.
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.
Determining the Surface Area and Volume of Spheres
Given a problem involving spheres, the student will find the surface area and volume.
Determining the Surface Area and Volume of Composite Figures
Given a problem involving composite figures made from prisms, pyramids, spheres, cones, and/or cylinders, the student will find the surface area and volume of the composite figure.
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.
Making and Verifying Conjectures About Triangles
Given examples of triangles and their component parts, the student will use explorations and concrete models to verify and apply the Triangle Inequality theorem and find the sum of interior angles.
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.
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.
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.
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.
Using Geometric Concepts and Properties to Solve Problems
Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.
Using Proportional Relations to Find Missing Measurements of Two-Dimensional Figures
Given pictorial representations and problem situations of 2-dimensional figures or 3-dimensional figures, the student will use proportional reasoning to find a missing measurement.
Using Rational Numbers to Solve Problems
Given a problem situation in verbal form, students will select and use an operation involving rational numbers in order to solve the problem.
Selecting and Using Appropriate Forms of Rational Numbers
Given real-life problems, the student will select an appropriate method and solve problems involving proportional relationships.
Exploring Probability with Dependent Events
The student will investigate and develop the concept of dependent probability, including formalizing procedures related to dependent probability and applications of dependent probability.
Finding Lateral and Total Surface Area
Given concrete models and nets (2-dimensional models) of prisms, pyramids, and cylinders, the student will find and determine the lateral and total surface area.
Electromagnetic Forces
Given schematic diagrams, illustrations or descriptions, students will identify the relationship of electric and magnetic fields in applications such as generators, motors, and transformers.
Waves—Properties
Given diagrams, descriptions or illustrations, students will determine the properties of wave motion and wave propagation as they pass through different media.
Connecting Postulates, Definitions, and Theorems
The student will distinguish the difference between undefined terms, definitions, postulates, conjectures, and theorems.
Determining the Validity of Conditional Statements
Given a conditional statement, the student will determine its validity and the validity of the converse, inverse and contrapositive.