options: Make geometric constructions.

Apply trigonometry to general triangles.

Prove theorems involving similarity.

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

Understand and apply theorems about circles.

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

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

Apply geometric concepts in modeling situations.

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.

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

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

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

Explain volume formulas and use them to solve problems.

Prove geometric theorems.

Use coordinates to prove simple geometric theorems algebraically.

Experiment with transformations in the plane.

Find arc lengths and areas of sectors of circles.

Reason with shapes and their attributes.

Understand similarity in terms of similarity transformations.

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

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

Understand congruence in terms of rigid motions.

Define trigonometric ratios and solve problems involving right triangles.

Understand and apply the Pythagorean Theorem.

Analyze, compare, create, and compose shapes.

Draw, construct, and describe geometrical figures and describe the relationships between them.
problem_activity: Problem 1
Subway has a giant sub. They cut it into eight pieces, as shown below.
[IMG]
Is this a fair share of the sub? If so, how much of the sub is each piece? If not, how would you make the share more fair?
Problem 2
Your teacher will give you some paper strips. Each strip represents 1. Fold each strip so that the parts represent each of the following:
a.   Halves
b.   Fourths
c.   Eighths
d.   Thirds
e.   Sixths
Problem 3
a.   Partition the rectangle into equal-sized parts. Shade one of the parts.
[IMG]
b.   Trade rectangles with a partner. If the whole rectangle is 1, what number represents the shaded part? Explain your reasoning.


correct_option_index: 18