options: Use coordinates to prove simple geometric theorems algebraically.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Solve real-world and mathematical problems involving area, surface area, and volume.

Apply trigonometry to general triangles.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Reason with shapes and their attributes.

Make geometric constructions.

Apply geometric concepts in modeling situations.

Analyze, compare, create, and compose shapes.

Find arc lengths and areas of sectors of circles.

Graph points on the coordinate plane to solve real-world and mathematical problems.

Define trigonometric ratios and solve problems involving right triangles.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Draw, construct, and describe geometrical figures and describe the relationships between them.

Explain volume formulas and use them to solve problems.

Prove theorems involving similarity.

Visualize relationships between two-dimensional and three-dimensional objects.

Understand similarity in terms of similarity transformations.

Understand and apply theorems about circles.

Experiment with transformations in the plane.

Understand and apply the Pythagorean Theorem.

Prove geometric theorems.

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Translate between the geometric description and the equation for a conic section.

Classify two-dimensional figures into categories based on their properties.

Understand congruence in terms of rigid motions.
problem_activity: Task
A rectangular tank is $50\text{ cm}$ wide and $60\text{ cm}$ long.  It can hold up to $126$ $\ell$ of water when full.  If Amy fills $\frac23$ of the tank as shown, find the height of the water in centimeters. (Recall that $1$ $\ell = 1000\text{ cm}^3$.)
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correct_option_index: 2