Understanding the differences between rotations and revolutions.
How to define a rotation and what information is necessary to perform a rotation.
Understanding and calculating rotational speed.
Understanding rotational inertia.
How to calculate the volume of a sphere.
How to find the vertex and axis of symmetry of a parabola.
How to define rotational symmetry and identify the degree of rotational symmetry of common regular polygons.
How to find the volume of any pyramid.
How to calculate the volume of any cylinder.
How to compare the volume of a cone and a cylinder and how to calculate the volume of a cone given the radius and height.
How to find the volume of any prism, right or oblique using a general formula.
How to reflect the graph of y = f(x) across the y-axis.
How to identify if two solids are similar and how to convert 1D ratios to surface area and volume ratios.
How to determine if the graph of a polar equation is symmetric about the x-axis.
How to describe the effect of a reflection, how to describe the effect of the ordered pair rules (x,y) -> (-x, y),(x,y) -> (x, -y), (x,y) -> (y, x).
How to use the method of substitution when the antiderivatives involve e^x or ln[x].
Vocabulary and formulas for surface area and volume of common solids
Understanding how density relates the volume and mass of a substance.
How substances behave when their volume is compressed.