options: Explain volume formulas and use them to solve problems.

Apply trigonometry to general triangles.

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

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

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

Understand and apply theorems about circles.

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

Find arc lengths and areas of sectors of circles.

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

Understand congruence in terms of rigid motions.

Use coordinates to prove simple geometric theorems algebraically.

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

Define trigonometric ratios and solve problems involving right triangles.

Analyze, compare, create, and compose shapes.

Prove theorems involving similarity.

Experiment with transformations in the plane.

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

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

Apply geometric concepts in modeling situations.

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

Make geometric constructions.

Reason with shapes and their attributes.

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

Understand and apply the Pythagorean Theorem.

Understand similarity in terms of similarity transformations.

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

Prove geometric theorems.
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: 6