Lesson 2: "When Will I Ever Use Math"
 
Overview

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Lesson 1

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 Lesson 2

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Lesson 3

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Lesson 4
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Lesson 5
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Standards
 






WV State Standards:

Math: M.O.CM.3.2, M.O.CM.3.3, M.O.CM.5.2, M.O.CM.5.4, M.O.CM.5.5, M.O.CM.5.7, M.O.PS.5.1, M.O.PS.5.2, M.O.PS.5.4, M.O.PS.5.6, M.O.PS.5.9, M.O.PS.5.10, M.O.PS.5.11

Science: AES.2.7, AES.2.6, AB.1.1, AB.1.3, AB.3.1, AB.3.2, AB.3.3, AB.3.4, AB.5.5, AB.5.3, AB.5.2, AB.6.4

Technology: TEC.9-12.1.1, TEC.9-12.2.1, TEC.9-12.2.2, TEC.9-12.3.1, TEC.9-12.3.2, TEC.9-12.3.4, TEC.9-12.5.1

National Standards: 

Math: 1, 2, 3, 4, 7, 9

Science: 5, 6, 11, 12, 13

Technology: 1, 2, 3, 4, 5

Blooms Taxonomy: Knowledge, Comprehension, Application, Evaluation
21st Century Skills:
Creativity and Intellectual Curiosity
Critical Thinking and Systems Thinking
Problem Identification, Formulation, and Solution
Thinking and Problem Solving Skills
Communication Skills
Interpersonal and Collaborative Skills
Social Responsibility
Self Direction
Adaptability

Objective(s)

Students will:

  • be able to measure the samples
  • record data on a spreadsheet
  • analyze their data to determine a growth pattern for the samples
  • graph the data using a spreadsheet
  • form a hypothesis based on the growth rate of their samples

Time Required

One 90-minute class or block schedule or two 45-minute regular class periods

Pre-Requisite Skills

Students will need a basic foundation in ratio's and proportions

21st Century Tools (Technology Tools)

  • Computer with Internet access
  • Spreadsheet software with graphing ability

Procedure

  1. Students will measure the size of their samples using methods available.  Microscope, ruler or any other measuring device
  2. Students will create a spreadsheet that tracks the daily growth of their samples.
  3. Students will create a hypothesis based on their data.
  4. Students will generate a ratio/proportion that supports their hypothesis.
  5. They will then graph the data in the spreadsheet.

Differentiated Instruction

The advanced student should be able to understand and use the topics of straight line regression to predict the population of bacteria from known samples.  The student will need to understand how valuable the regression technique is for engineers.  If the relationship between the two variables (bacteria growth and time) are roughly linear, then the observed data can be used to generate a line of the form y = mx + b, and that either variable can be used to predict the other, even past the limits of the observation.

The engineer would use the regression technique to suggest that even though bacteria growth is relatively small in the first hours of exposure, and therefore easily controllable by a particular design (an inexpensive chemical wipe, for example), our regression line predicts that after two days, the growth of untreated bacteria would grow such that a new design is called for (an ultraviolet light exposure, for example).

Sample Student Products

Lesson 2: Data Collection Sheet
Lesson 2: Graph

Collaboration

Students can use this analysis to calculate a formula in their math class that would support a hypothesis.

Author's Comments

Some students will not be able to generate or word a hypothesis correctly.  They should be instructed how to do so prior to this lesson.

21st Century Assessment/Evaluation

Generation of the Data Collection Sheet and graph.

 
Copyright 2006 the EdVenture group
The EdVenture Group