# 8.6-8.9 Expressions, Equations and Relationships

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describe the volume formula V = Bh of a cylinder in terms of its base area and its height
model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas
use models and diagrams to explain the Pythagorean theorem
solve problems involving the volume of cylinders, cones, and spheres
use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders
use the Pythagorean Theorem and its converse to solve problems
determine the distance between two points on a coordinate plane using the Pythagorean Theorem
write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants
write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants
model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants
use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles
identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations

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