LESSON PLAN 1  of 1

 

Name:  Robert Duncan

 

Title of lesson: Introduction to Volume

 

Date of lesson:

 

Length of lesson:

             One 55 minute period

 

Description of the class: Geometry

                          Course Title: Geometry

                          Grade level: 9-10

 

Source of the lesson: Original

 

TEKS addressed:

(a) Basic understandings.

(1) Foundation concepts for high school mathematics

(2) Geometric thinking and spatial reasoning.

(3) Geometric figures and their properties

(5) Tools for geometric thinking

(6) Underlying mathematical processes.

(b) Geometric structure: knowledge and skills and performance descriptions.

(2) The student analyzes geometric relationships in order to make and verify conjectures. Following are performance descriptions.

(A) The student uses constructions to explore attributes of geometric figures and to make conjectures about geometric relationships.

(c) Geometric patterns: knowledge and skills and performance descriptions.

(1) The student uses numeric and geometric patterns to make generalizations about geometric properties, including properties of polygons, ratios in similar figures and solids, and angle relationships in polygons and circles.

(e) Congruence and the geometry of size: knowledge and skills and performance descriptions.

(1) The student extends measurement concepts to find area, perimeter, and volume in problem situations

(D) The student finds surface areas and volumes of prisms, pyramids, spheres, cones, and cylinders in problem situations.

(2) The student analyzes properties and describes relationships in geometric figures. Following are performance descriptions.

(D) The student analyzes the characteristics of three-dimensional figures and their component parts.

 

The Lesson:

I.                  Overview

Students will work in groups to create a modular origami cube, as well as smaller similar cubes.  Before and after constructing the cubes, the students make predictions and reason about how many of the smaller cubes (made from smaller pieces of paper) would fit inside the large cube

 

                          II.  Performance or learner outcomes

Understand the concept of volume and cubic units

                

III. Resources, materials and supplies needed

                 Attached origami diagram

                 Ruler

 

IV. Supplementary materials, handouts.

                
Five-E Organization

Teacher Does                                                      Student Does

Engage:

Learning Experience

 

       Students receive a new origami model to fold.  This modular design is somewhat complicated and may require teacher assistance to assemble

 

 

Student Activity

 

      Students work in groups to fold the design from the given diagram

 

                                                                                Evaluate

 

Explore:

Learning Experience(s)

 

Ask what kind of shape was made and what properties it has.  What is different about the smaller ones?  How many of the small cubes would fit inside the large cube?

 

 

Student Activity

 

  Students use the cubes they have made to examine and make conjectures about the volume.

     Evaluate

 

Explain:

Learning Experience(s)

[if and 8.5x11 sheet of paper is cute into an 8.5x8.5 square and the leftover 2.5x11 sheet is cut into 2.5x2.5 squares, 27 of the small cubes appear to be able to fit into the large one. This is due to the increase in thickness due to the folding of the paper]

Teacher explains why 27 small cubes fit into the large one and introduces the word volume

 

 

 

Student Activity

 

Students discuss and listen to the various arguments/reasons and definitions.

     Evaluate

 

Extend / Elaborate:

Learning Experience(s)

Show the link between cubic units and finding the volume of a cube.  What about finding the volume of something like a cylinder, which does not have straight sides.  Compare this with area of a square vs a circle.

 

Student Activity

Students use previously learned theories and methods to make conjectures about new information.

     Evaluate