Oklahoma Academic Standards
OK.PA. Pre-Algebra (PA)
PA.GM. Geometry & Measurement (GM)
PA.GM.2. Calculate surface area and volume of three-dimensional figures.
PA.GM.2.2. Calculate the surface area of a cylinder, in terms of π and using approximations for π, using decomposition or nets. Use appropriate measurements such as cm^2.
PA.GM.2.4. Develop and use the formulas V = πr^2h and V = Bh to determine the volume of right cylinders, in terms of π and using approximations for π. Justify why base area (B) and height (h) are multiplied to find the volume of a right cylinder. Use appropriate measurements such as cm^3.
OK.G. Geometry (G)
G.RL. Geometry: Reasoning & Logic (G.RL)
G.RL.1. Use appropriate tools and logic to evaluate mathematical arguments.
G.RL.1.1. Understand the use of undefined terms, definitions, postulates, and theorems in logical arguments/proofs.
G.2D. Geometry: Two-Dimensional Shapes (G.2D)
G.2D.1. Discover, evaluate and analyze the relationships between lines, angles, and polygons to solve real-world and mathematical problems; express proofs in a form that clearly justifies the reasoning, such as two-column proofs, paragraph proofs, flow charts, or illustrations.
G.2D.1.6. Apply the properties of polygons to solve real-world and mathematical problems involving perimeter and area (e.g., triangles, special quadrilaterals, regular polygons up to 12 sides, composite figures).
G.C. Geometry: Circles (G.C)
G.C.1. Solve real-world and mathematical problems using the properties of circles.
G.C.1.1. Apply the properties of circles to solve problems involving circumference and area, approximate values and in terms of !, using algebraic and logical reasoning.
G.C.1.2. Apply the properties of circles and relationships among angles; arcs; and distances in a circle among radii, chords, secants and tangents to solve problems using algebraic and logical reasoning.
G.C.1.3. Recognize and write the radius r, center (h, k), and standard form of the equation of a circle (x − h)^2 + (y − k)^2 = r^2 with and without graphs.