options: Make geometric constructions.

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

Define trigonometric ratios and solve problems involving right triangles.

Understand congruence in terms of rigid motions.

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

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

Understand similarity in terms of similarity transformations.

Find arc lengths and areas of sectors of circles.

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

Understand and apply theorems about circles.

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

Analyze, compare, create, and compose shapes.

Prove geometric theorems.

Use coordinates to prove simple geometric theorems algebraically.

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

Apply geometric concepts in modeling situations.

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

Explain volume formulas and use them to solve problems.

Apply trigonometry to general triangles.

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

Prove theorems involving similarity.

Reason with shapes and their attributes.

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

Experiment with transformations in the plane.

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

Understand and apply the Pythagorean Theorem.

Understand congruence and similarity using physical models, transparencies, or geometry software.
problem_activity: Problem 1
The same image of a cat is shown at three different zoom levels on a computer.
[IMG]
What do you notice about what happens to the scale as you zoom in and out on the image?
Problem 2
Your computer shows you a map of Washington Park in Eugene, Oregon. The scale in the bottom right corner of the map tells us that the length of the bar represents 200 feet on the map.
[IMG]
Clicking a resizing button on the computer screen will result in an image of Washington Park, where the exact same-sized bar now represents 150 feet.
a.   Do you think the size of Washington Park under the 150 ft. scale will appear smaller or larger than it was under the 200 ft. scale?
b.   Draw an accurate picture/map of Washington Park under this new 150 ft. scale. Use the handout.
c.   Was your guess in part (a) correct? Can you explain why the size of the map changed as it did?


correct_option_index: 19