options: Find arc lengths and areas of sectors of circles.

Experiment with transformations in the plane.

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

Prove geometric theorems.

Reason with shapes and their attributes.

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

Define trigonometric ratios and solve problems involving right triangles.

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

Prove theorems involving similarity.

Analyze, compare, create, and compose shapes.

Understand similarity in terms of similarity transformations.

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

Understand and apply the Pythagorean Theorem.

Use coordinates to prove simple geometric theorems algebraically.

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

Apply geometric concepts in modeling situations.

Apply trigonometry to general triangles.

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

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

Make geometric constructions.

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

Understand congruence in terms of rigid motions.

Explain volume formulas and use them to solve problems.

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

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

Understand and apply theorems about circles.

Classify two-dimensional figures into categories based on their properties.
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: 20