options: Prove theorems involving similarity.

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

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

Apply geometric concepts in modeling situations.

Explain volume formulas and use them to solve problems.

Understand congruence in terms of rigid motions.

Understand similarity in terms of similarity transformations.

Understand and apply theorems about circles.

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

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

Understand and apply the Pythagorean Theorem.

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

Analyze, compare, create, and compose shapes.

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

Use coordinates to prove simple geometric theorems algebraically.

Find arc lengths and areas of sectors of circles.

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

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

Prove geometric theorems.

Make geometric constructions.

Experiment with transformations in the plane.

Define trigonometric ratios and solve problems involving right triangles.

Apply trigonometry to general triangles.

Reason with shapes and their attributes.

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

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

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
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: 23