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:
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
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