describe the volume formula V = Bh of a cylinder in terms of its base area and its height

TRY FOR FREE NOW

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