options: Prove geometric theorems.

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

Understand similarity in terms of similarity transformations.

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

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

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

Understand congruence in terms of rigid motions.

Find arc lengths and areas of sectors of circles.

Make geometric constructions.

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

Understand and apply the Pythagorean Theorem.

Apply geometric concepts in modeling situations.

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

Understand and apply theorems about circles.

Analyze, compare, create, and compose shapes.

Experiment with transformations in the plane.

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

Define trigonometric ratios and solve problems involving right triangles.

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

Apply trigonometry to general triangles.

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

Prove theorems involving similarity.

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

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

Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.

Explain volume formulas and use them to solve problems.
problem_activity: Problem 1
A carpenter is building a new wall for a house that he is renovating. He knows that there will be a door and a window in the wall. Around the door and window, he uses wooden board to create the wall. A blueprint of the wall is shown below.
[IMG]
How much wooden board, in square feet, does the carpenter need to build the wall?
Problem 2
Jamie is planning to cover a wall with red wallpaper. The dimensions of the wall are shown below.
[IMG]
a.   How many square feet of wallpaper are required to cover the wall?
b.   Wallpaper comes in long rectangular strips that are 24 inches wide. If Jamie lays the strips of wallpaper vertically, how many strips will she use and how long will each strip be? Explain.
c.   If Jamie lays the strips of wallpaper horizontally, can she cover the wall without wasting any wallpaper? Explain.
Problem 3
Find the area of the shaded region in square units. Show your reasoning.
[IMG]


correct_option_index: 9