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

Explain volume formulas and use them to solve problems.

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

Analyze, compare, create, and compose shapes.

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

Define trigonometric ratios and solve problems involving right triangles.

Prove theorems involving similarity.

Understand congruence in terms of rigid motions.

Apply geometric concepts in modeling situations.

Find arc lengths and areas of sectors of circles.

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

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

Understand similarity in terms of similarity transformations.

Understand and apply the Pythagorean Theorem.

Experiment with transformations in the plane.

Make geometric constructions.

Use coordinates to prove simple geometric theorems algebraically.

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

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

Prove geometric theorems.

Reason with shapes and their attributes.

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

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

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

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

Apply trigonometry to general triangles.

Understand and apply theorems about circles.
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: 20