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

Analyze, compare, create, and compose shapes.

Define trigonometric ratios and solve problems involving right triangles.

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

Explain volume formulas and use them to solve problems.

Experiment with transformations in the plane.

Reason with shapes and their attributes.

Understand congruence in terms of rigid motions.

Apply geometric concepts in modeling situations.

Prove theorems involving similarity.

Make geometric constructions.

Apply trigonometry to general triangles.

Understand and apply the Pythagorean Theorem.

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

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

Use coordinates to prove simple geometric theorems algebraically.

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

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

Prove geometric theorems.

Understand and apply theorems about circles.

Understand similarity in terms of similarity transformations.

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

Find arc lengths and areas of sectors of circles.

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

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

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

Understand congruence and similarity using physical models, transparencies, or geometry software.
problem_activity: Problem 1
The images below are maps with different scales. What do you notice? What do you wonder?
[IMG]
[IMG]
Problem 2
The map below shows Boston Common and Boston Public Garden. Perla walked around the outside perimeter of the Common and the Public Garden. About how far did she walk?
[IMG]
Problem 3
On the map below,
$${{1\over4}}$$
inch represents one mile. Candler, Canton, and Oteen are three cities on the map.
[IMG]
a.   If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?
b.   If Candler and Oteen are
$${3 {1\over2}}$$
inches apart on the map, what is the actual distance between Candler and Oteen in miles?


correct_option_index: 3