options: Apply trigonometry to general triangles.

Prove theorems involving similarity.

Find arc lengths and areas of sectors of circles.

Apply geometric concepts in modeling situations.

Explain volume formulas and use them to solve problems.

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

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

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

Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.

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

Analyze, compare, create, and compose shapes.

Understand congruence in terms of rigid motions.

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

Prove geometric theorems.

Understand and apply the Pythagorean Theorem.

Define trigonometric ratios and solve problems involving right triangles.

Understand similarity in terms of similarity transformations.

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

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

Experiment with transformations in the plane.

Understand and apply theorems about circles.

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

Make geometric constructions.

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

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

Draw, construct, and describe geometrical figures and describe the relationships between them.
problem_activity: Problem 1
The three shapes below represent the bases of three different prisms. Each grid is 1 unit
$$\times$$
1 unit, and each prism has a height of 10 units.
[IMG]
What is the volume of each prism?
Problem 2
A triangular prism has the measurements shown below.
[IMG]
If the volume of the prism is 270 cubic inches, what is the height of the prism?
Problem 3
Investigate the relationship between the volume of a prism and a pyramid with the same base.
a.   Watch the YouTube video
Volume of Three Square Pyramids Fitting into a Cube
.
b.   What is the relationship between the volume of the prism and the volume of the pyramid?
c.   What formula can you use to find the volume of a pyramid?
d.   Find the volume of a rectangular pyramid with height 5 cm and base measuring 8 cm × 6 cm.


correct_option_index: 18