From the 2015 AP Chemistry test free response 2d and 2e, a tutorial on Lewis electron-dot diagram and bond angles for ethanol. [6:20]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

I love graphic organizers. My students will increase their vocabularies by learning more 2D shape terms through the use of a graphic organizer.

Identifying 2D shapes in common objects and sorting according to shapes connects the real world to learning shape names and attributes.

Students practice creating rudimentary detail drawings. They learn how engineers communicate the technical information about their designs using the basic components of detail drawings. They practice creating their own drawings of a three-dimensional block and a special LEGO piece, and then make 3D sketches of an unknown object using only the information provided in its detail drawing.

Students watch a video and then attempt practice problems on how to complete a whole picture with some missing parts.

A free CK-12 account is required to view all materials.

Students watch a video and attempt practice problems on counting two dimensional shapes in a complex composite figure.

A free CK-12 account is required to view all materials.

Students watch a video and attempt practice problems on how to dientify various two dimensional shapes within a composite figure.

A free CK-12 account is required to view all materials.

Students watch a video and attempt practice problems on determining if there are straight lines in various two dimensional shapes.

A free CK-12 account is required to view all materials.

Students watch a video and attempt practice problems on matching equivalent 2D shapes.

A free CK-12 account is required to view all materials.

Students watch a video overview on lines, curves and vertices of two dimensional shapes.

A free CK-12 account is required to view all materials.

Students watch a video overview on various two dimensional shapes including rectangles, squares, circles and triangles.

A free CK-12 account is required to view all materials.

Students watch a video overview on the properties of rectangles, squares, circles and triangles.

A free CK-12 account is required to view all materials.

Explore surface areas and nets with 2D and 3D shapes.

A free CK-12 account is required to view all materials.

Cross-sections are one way that two-dimensional objects are connected to three-dimensional objects.

A free CK-12 account is required to view all materials.

Explore connections between a 2-dimensional net and a 3-dimensional box. Later in this section, use equations with variables to solve real world problems that use 2 and 3-dimensional objects.

A free CK-12 account is required to view all materials.

Zooming In On Figures

Unit Overview

Type of Unit: Concept; Project

Length of Unit: 18 days and 5 days for project

Prior Knowledge

Students should be able to:

Find the area of triangles and special quadrilaterals.
Use nets composed of triangles and rectangles in order to find the surface area of solids.
Find the volume of right rectangular prisms.
Solve proportions.

Lesson Flow

After an initial exploratory lesson that gets students thinking in general about geometry and its application in real-world contexts, the unit is divided into two concept development sections: the first focuses on two-dimensional (2-D) figures and measures, and the second looks at three-dimensional (3-D) figures and measures.
The first set of conceptual lessons looks at 2-D figures and area and length calculations. Students explore finding the area of polygons by deconstructing them into known figures. This exploration will lead to looking at regular polygons and deriving a general formula. The general formula for polygons leads to the formula for the area of a circle. Students will also investigate the ratio of circumference to diameter ( pi ). All of this will be applied toward looking at scale and the way that length and area are affected. All the lessons noted above will feature examples of real-world contexts.
The second set of conceptual development lessons focuses on 3-D figures and surface area and volume calculations. Students will revisit nets to arrive at a general formula for finding the surface area of any right prism. Students will extend their knowledge of area of polygons to surface area calculations as well as a general formula for the volume of any right prism. Students will explore the 3-D surface that results from a plane slicing through a rectangular prism or pyramid. Students will also explore 3-D figures composed of cubes, finding the surface area and volume by looking at 3-D views.
The unit ends with a unit examination and project presentations.

Students will continue to explore surface area, looking at more complex solids made up of cubes. Students will look at the 2-D views of these solids to see all of the surfaces and to find a shorter method to calculate the surface area.Key ConceptsThe 2-D views of 3-D figures (front top and side) show all of the surfaces of the figure (the area of the three views is doubled or the back, bottom, and other side) and so can be used to calculate surface area. The only exception is when surfaces are hidden or blocked and must be accounted for.GoalsExplore the relationship between 2-D views of figures and their surface area.Find the surface area of different solids.

Learn about the relationships between two- and three-dimensional objects with the Odd Squad. A new villain is on the loose, and he's flattening things around town. Olive and Otto are on the case!