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

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

Prove geometric theorems.

Understand congruence in terms of rigid motions.

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

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

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

Explain volume formulas and use them to solve problems.

Define trigonometric ratios and solve problems involving right triangles.

Prove theorems involving similarity.

Understand similarity in terms of similarity transformations.

Apply geometric concepts in modeling situations.

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

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

Make geometric constructions.

Find arc lengths and areas of sectors of circles.

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

Reason with shapes and their attributes.

Experiment with transformations in the plane.

Understand and apply theorems about circles.

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

Analyze, compare, create, and compose shapes.

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

Apply trigonometry to general triangles.

Use coordinates to prove simple geometric theorems algebraically.

Understand and apply the Pythagorean Theorem.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
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: 20