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

Explain volume formulas and use them to solve problems.

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

Prove geometric theorems.

Prove theorems involving similarity.

Experiment with transformations in the plane.

Analyze, compare, create, and compose shapes.

Understand and apply the Pythagorean Theorem.

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

Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.

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

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

Find arc lengths and areas of sectors of circles.

Understand similarity in terms of similarity transformations.

Make geometric constructions.

Apply geometric concepts in modeling situations.

Apply trigonometry to general triangles.

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

Understand and apply theorems about circles.

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

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

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

Define trigonometric ratios and solve problems involving right triangles.

Understand congruence in terms of rigid motions.

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.
problem_activity: Problem 1
Someone sorted some shapes as shown below.
[IMG]
a.   What is similar about the two groups of figures? What term(s) can we use to describe all of the shapes?
b.   What is different about the two groups of shapes?
Problem 2
Decide whether each of the following statements are true or false. If it is false, rewrite the statement so that it is true.
a.   A trapezoid is always a quadrilateral.
b.   A quadrilateral is never a trapezoid.


correct_option_index: 20