Objective(s) - students will be able
1. To discuss and provide examples of how materials are used in CDs And DVDs
2. To define and provide examples of flash drive functions
3. To define and provide examples of CDs And DVDs dimensions and the units used to measure them
4. To apply the concepts of function, independent and dependent variable to describe relationships between material models using multiple representations of functions
5. To classify the relationship between variables associated with material models
6. To pose questions about the performance of material models
7. Describe the difference between material models
8. Define material models
Prerequisite skills
Graphing two-variable data, evaluating expressions, translating verbal phrases and sentences to algebraic expressions and equations, solving equations, creating and interpreting tables and graphs on coordinate plane
Materials
Ruler or tape measure, scale, thermometer, timer
Worksheet or text with tables of different types of function, without the equations
Relevant Vocabulary, Terms and Symbols
Materials, dimensions, functions, mapping diagram, graphing, variables
Strategy
Students should be prompted to discuss different types of materials that are measured and observed. They should also discuss what types of instruments are used for the measurements. This discussion should result in defining dimensions. As a class, we list different units that are used to measure the dimensions of mass, transfer, molecular attributes, time and temperature. Review the definition of function. Use the student as function input metaphor - can’t go to two places at once. Encourage students to come up with measureable quantities and measurement units. Prepare a measurement activity that involves a simple linear function. Prepare tables of different types of functions related to Materials Models for review of function types. Prompt students to classify each table as a type of function. Describe natural pandemics and epidemics, the different types of Materials Models , and their characteristics. Use the case studies to provide an example of each type of flash drive to be studied. An overhead slide show would nicely show the attributes of the CDs And DVDs. Ask questions about the characteristics of Materials used in CDs And DVDs, i.e. “are these related? How is that so?” Provide encouragement and feedback.
Student tasks
Form small groups
List examples of quantities that we measure in the environment
Classify each type of quantity by its dimension, and give an example of units
Discuss how some comparative variables may be related
Find two quantities that have a functional relationship
Describe the functional relationship in words using “is a function of” and symbols using a = f(b)
Present one of your functions to the class, with both verbal and symbolic representations
Engage in measurement activity involving magnitude, time, and force, using ruler, clock, and scale any distance, rate, and time problem would suffice
Classify a function represented with a table as linear, quadratic or exponential
Answer elementary questions about the Material Models discussed, define terms
Questions
For each of the following pairs of associations, determine the dimension and possible units of each variable, and determine if there may be a functional relationship between the two.
Then identify the independent and dependent variables, and write a sentence that describes the relationship.
Mass and temperature
Material and Molecular properties
Time and temperature
Give examples of dimensions and units
What is the difference between a material and a method?
What questions can be asked about these events?
What type of experiments would create answers to these questions?