Rationale: This document provides examples of collaboration of Math and Technology classes in using math in real world applications, thru Trig functions to calculate altitude. This lesson also provided students a design problem that requires certain criteria and constraints in designing and building a straw rocket project.
STANDARDS ASSOCIATED WITH LESSON.
, 1.2 Students make sense of the variety of materials they read.
2.2 Students identify, analyze, and use patterns such as cycles and trends to
understand past and present events and predict possible future events.
2.3Students will identify and analyze systems and the ways their components work
together or affect each other.
1.16Students use computers and other types of technology to collect, organize, and
communicate information and ideas.
2.8Students understand various mathematical procedures and use them appropriately
and accurately.
2.20Students understand, analyze, and interpret historical events, conditions, trends,
and issues to develop historical perspective.
2.37Students demonstrate skills and work habits that lead to success in future
schooling and work.
CORE CONTENT ASSESSMENT:
RD-10-1.0.4 Students will interpret the meaning of jargon, dialect or specialized
vocabulary found in a passage.
RD-10-2.0.3 Students will apply the information contained in a passage to
accomplish a task/procedure or to answer questions about a passage.
SC-HS-1.2.1 Students will construct accurate and appropriate representations for
motion (visual, graphical and mathematical; Objects change their
motion only when a net force is applied. Newton’s Laws of motion are
used to describe the effects of forces on the motion of objects.
MA-HS-1.3.1 Students will solve real-world and mathematical problems to specified
accuracy involving addition, subtraction, multiplication and division.
MA-HS-1.4.1 Students will apply ratios to solve real-world problems.
MA-HS-5.1.1 Students will identify representations (tables, graphs, equations) in real-
world or mathematical problems.
SS-HS-5.1.2 Students will analyze how history is a series of connected events shaped
by multiple cause and effect relationships, tying past to present.
PL/VS CORE CONTENT ASSESSMENT:
PL-HS-4.2.1 Students will identify individual work habits/ethics (individual/team
responsibility willingness to learn, integrity, problem solving) and
explain their importance in the workplace.
TECHNOLOGICAL LITERACY STANDARDS:
STANDARD 1 – Students will develop an understanding of the characteristics and
scope of technology.
Benchmark J – The nature and development of technological knowledge and
processes are functions of the setting.
Benchmark K – The rate of technological development and diffusion is increasing
rapidly.
STANDARDS 2 – Students will develop an understanding of the core concepts of
technology.
Benchmark X – Systems, which are the building blocks of technology, are embedded
within larger technological, social, and environmental systems.
Benchmark Z – Selecting resources involves trade-offs between competing values,
such as availability, cost, desirability, and waste.
Benchmark AA – Requirements involve the identification of the criteria and
constraints of a product or system and the determination of how
they affect the final design and development.
Benchmark BB – Optimization is an ongoing process or methodology of designing or
making a product and is dependant on criteria and constraints.
Benchmark CC – New technologies creates new processes.
STANDARD 3 – Students will develop an understanding of the relationships among
technologies and the connections between technology and other fields
of study.
Benchmark G – Technology transfer occurs when a new user applies an existing
innovation developed for one purpose in a different function.
Benchmark H – Technological innovation often results when ideas, knowledge, or
skills are shared within a technology, among technologies, or across
other fields.
Benchmark I – Technological ideas are sometimes protected through the process of
patenting.
Benchmark J – Technological progress promotes the advancement of science and
mathematics.
STANDARD 4 – Students will develop an understanding of the culture, social,
economic, and political effects of technology.
Benchmark I – Making decisions about the use of technology involves weighing the
trade-offs between the positive and negative effects.
STANDARD 6 – Students will develop an understanding of the role of society in the
development and use of technology.
STANDARD 7 – Students will develop an understanding of the influence of
technology on history.
Benchmark G – Most technological development has been evolutionary, the result of
a series of refinements to a basic invention.
Benchmark H – The evolution of civilization has been directly affected by, and has in
turn affected, the development and use of tools and materials.
Benchmark J – Early in the history of technology, the development of many tools and
machines was based not on scientific knowledge but on technological
know-how.
STANDARD 8 – Students will develop an understanding of the attributes of design.
Benchmark H – The design process includes defining the problem, brainstorming,
researching and generating ideas, identifying criteria and specifying
constraints, exploring possibilities, selecting an approach, developing
a design proposal, making a model or prototype, testing and
evaluating the design using specifications, refining the design,
creating or making it, and communicating processes and results.
STANDARD 10 – Students will develop an understanding of the role
troubleshooting, research and development, invention and
innovations, and experimentation in problem solving.
Benchmark J – Technological problems must be researched before they can be
solved.
STANDARD 11 – Students will develop the abilities to apply the design process.
Benchmark M – Identify the design problem to solve and decide whether or not to
address it.
Benchmark N – Identify criteria and constraints and determine how these will affect
the design process.
Benchmark Q – Technological knowledge and processes are communicated using
symbols, measurement, conventions, icons, graphic images, and
languages that incorporate a variety of visual, auditory, and tactile
stimuli.
SCANS STANDARDS:
C5 Students will acquire and evaluate information.
C6 Students organizes and maintains information.
F4 Students will perform basic computations and approaches practical problems by
choosing appropriately from a variety of mathematical techniques.
KENTUCKY OCCUPATIONAL SKILLS STANDARDS:
AA-001 Students will read process information and follow instructions.
AD-002 Students will demonstrate the ability to learn new process steps.
AD-004 Students will read process instructions and implement appropriate steps.
EB-001 Students will assume responsibility for the personal safety of self and others.
EB-002 Students will maintain a clean and safe work environment.
EC-002 Students will apply a system of problem solving.
A&H and PL/CSDAILY LESSON PLAN & REFLECTION
Course / Introduction to Technology Systems
Unit# / 5
Day#7 / of:21
Teacher:Mr. Wombles
Date:
Class Period (s):6th Block
Connection(s) to Program Review
C&I: 2,3
F&SA: 1,2
Lesson Outline (Highlight Special Resources Needed)
OA:True or False
A scientific law has not been proven many times..
- 1.ATTENDANCE
2. Students will work on Start Straw Rocket Project
3
4.
Homework:
FORMATIVE ASSESSSMENTS
Assessment: Finish Homework Packet Unit 5 / SUMMATIVE ASSESSMENTS
OA
Assessment: Finish Homework Packet Unit 5
MARZANO’S RESEARCH-BASED INSTRUCTIONAL STRATEGIES (Check all used)
____Vocabulary (32) %ile) ___ Cues, Questions, Adv Org (23 %ile) ___Nonlinguistic Representation (27%ile)
____ Compare/Contrast (45 %ile) ___ Gen/Test Hypothesis (23 %ile pts) _X__ Cooperative Learning ( 27%)
_X__ Homework &Practice (28 %ile) _X__ Setting Goals and Feedback (23 %ile ) _X__ Summarizing & Note Taking (34%ile)
X__ Reinforcing effort and Giving Praise (29 %ile)
FOUNDATIONS OF TECHNOLOGY
RELATIONSHIPS AMONG TECHNOLOGIES
UNIT 5 HANDOUT
Pages 51 to 61:
- Define resource.
- List seven resources needed to create new technology.
- 5.
2. 6.
3. 7.
4.
3. Define skill.
4. How do imagination and skill relate to technology?
5. Define tool.
6. Define primary tools.
7. Define machine.
8. List the six simple machines that were used to change direction, speed, or force.
- 4.
2. 5.
3. 6.
9. Define capital.
Pages 62 to 65:
10. Define system.
11. Define subsystem.
12. Why do people diagram plans?
13. Define an open-loop system.
- Define input.
15. Define input.
- Define process.
16. Define process.
17. Define output.
18. Define feedback.
- Define a closed-loop system.
Page 66 to 69
20. Define criteria.
21. Define constraint:
22. Define optimization.
23. Define trade-off.
24. Describe how maintenance and control are used to increase the life of some
products.
25. What effects do trade-offs have on product design?
Page 157 to 162:
26. Define hypothesis.
27. Define scientific theory.
- What is the first step in the scientific method?
29. Define scientific law
30. Why is calculating a robot’s ability to extend its arm important?
31. Why is it possible for a very large, heavy ship to float?
32. Do the TECH CONNECT MATHEMATICS problem on page 160. Show your
work!!!!!!
Page 163 to 167:
33. List the three subjects taught in the humanities.
- 3.
2.
34. How did Johannes Gutenburg influence both the language arts and technology?
35. Define Information Age.
36. Between what years do some people say the Information Age started?
37. What was ARPANET and what did it evolve into?
38. What is a shadowing program?
- What force does Newton’s third law of motion involve?
RECALL QUESTIONS
PAGE 61
- What seven resources do we need to create new technology?
1) People 5) Time
2) Information 6) Materials
3) Tools and Machines 7) Energy
4) Capital
- How do imagination and skill relate to technology?
Find solutions to problems. Skills to turn solutions to problems into working.
- Name the six simple machines that are used to change direction, speed, or force.
1) Wheel and Axle 4) Inclined Plane
2) Pulley 5) Wedge
3) Lever 6) Screw
TERMS TO LEARN
PAGE 52
- Capital – Accumulated wealth, which may be money, credit, or property.
2. Machine – A tool with a power system that takes advantage of certain scientific
laws that enable the tool to work better.
3. Primary Tool – A basic tool that is hand held and muscle powered.
- Resource – Something that supplies help or aid to a system; can be a source of
information, capital, supply, or support.
5. Skill – The combination of knowledge and practice that enables a person to do
something well.
6. Tool – An instrument or apparatus that increases a person’s ability to do work.
RECALL QUESTIONS
PAGE 65
- What are systems and subsystems?
System is a group of parts that work together in an organized way to complete a
task.
Subsystem is a system that is part of another, larger system.
- Why do people diagram plans?
It helps people understand how any system operates.
- What is an open-loop system?
A system with no way of controlling or measuring its product.
- What is a closed-loop system?
A system that has a way of controlling or measuring its product.
TERMS TO LEARN
PAGE 62
- Closed-loop System – A system that has a way of controlling or measuring its
product.
- Feedback – The part of a closed-loop system that provides control or
measurement.
- Input – What ever is put into a system.
4. Open-loop System – A system with no way of controlling or measuring its
product.
5. Output – What a system produces.
6. Process – The conversion of a system’s input into useful products.
7. Subsystem – A system that is part of another, larger system.
- System – A group of parts that work together in an organized way to complete a
task.
RECALL QUESTIONS
PAGE 69
- What do we mean by criteria and constraints?
Criteria is standards that a product must fulfill in order to be accepted.
Constraints is a restriction on a product.
- What is optimization?
Optimization is creating the most effective and functional product, system, or
process.
- Describe how maintenance and control are used to increase the life of some
products.
The larger and more complex a system is, the harder it is to keep it working properly and control the way it functions. Therefore systems require maintenance
to keep them working and some systems are built with control elements that keep watch over the system and report any problems. Prompt maintenance then prevents system failures.
- What are trade-offs and what effect do they have on product design?
Trade-offs are compromises in which you give up one thing in order to gain something else. Many trade-offs involve cost, therefore you choose components that will perform the needed operations at the most reasonable price and you choose the least expensive materials and the most economical processes.
TERMS TO LEARN
PAGE 66
- Constraints – A restriction on a product.
- Criteria – Standards that a product must fulfill in order to be accepted.
- Optimization – Creating the most effective and functional product, system, or
process.
- Trade-off – A compromise in which you give up one thing in order to gain
something else.
RECALL QUESTIONS
PAGE 162
- What is the difference between a hypothesis and a scientific law?
A hypothesis is the basis for further investigation.
A scientific law has already been proven many times.
- Why is calculating a robot’s ability to extend its arm important?
It helps determine where the robot can be used and for which task.
- Why is it possible for a very large, heavy ship to float?
Its density is less than the density of water.
TERMS TO LEARN
PAGE 158
- Hypothesis – An explanation for something that is used as the basis for further
investigation.
- Scientific Law – A theory that has been proven true so often that is accepted as
fact.
- Scientific Theory – Scientific conclusion carefully developed through
experimentation.
MATH PROBLEM
PAGE 160
$112,067.00 Cost to produce product
+$34,750.00 Cost of advertising
$146,750.00 Cost
Divided by
$39.95 Selling cost = 3,675 Amount to pay to pay expenses
RECALL QUESTIONS
PAGE 167
- Name at least three subjects included in the humanities.
1) Language Arts 4) Economics
2) Social Studies 5) Government
3) History 6) Art
- How did Johannes Gutenberg influence both language arts and technology?
He developed movable type, which increased the availability of books and created the need to learn to read and write, as information spread, the number of inventions increased.
- What was ARPANET?
The first computer network.
COMPREHENSION CHECK
PAGE 169
- What is the first step in the scientific method?
Make observations and form questions.
- What is a scientific theory?
A conclusion carefully developed through experimentation.
- What force does Newton’s third law of motion involve?
Gravity or the attraction between objects or for every action there is opposite action.
- When did the Information Age begin?
Between 1844 and 1967.
- What is a shadowing program?
A school program in which students spend time in a work environment.
FOUNDATIONS OF TECHNOLOGY
RELATIONSHIPS AMONG TECHNOLOGIES
UNIT 5 TEST
____ 1. A source of information, capital, materials, equipment, or support is:
A. Capital C. Skill
B. Resource D. Input
____ 2. A combination of knowledge and practice that enables you do something well is:
A. Materials C. Skill
B. Tool D. Input
____ 3. An instrument or apparatus that increases your ability to do work is a:
A. Machine C. Pulley
B. Tool D. Primary Tool
____ 4. A basic tool that is hand held and muscle powered is a:
A. Wedge C. Pulley
B. Tool D. Primary Tool
____ 5. A tool with a power system that takes advantage of certain scientific laws that
enable the tool to work better is a:
A. Machine C. Pulley
B. Tool D. Primary Tool
____ 6. Accumulated wealth, which may be money, credit, or property is:
A. Capital C. Skill
B. Resource D. Input
____ 7. A group of parts that work together in an organized way to complete a task is
a(an):
A. Optimization C. System
B. Subsystem D. Machine
____ 8. A system that is part of another, larger system is a(an):
A. Optimization C. System
B. Subsystem D. Machine
____ 9. A system with no way of controlling or measuring its product is a(an):
A. Closed-Looped System B. Open-Looped System
____10. A system that has a way of controlling or measurement of its product is a(an):
A. Closed-Looped System B. Open-Looped System
____11. Standards that a product must fulfill in order to be accepted is:
A. Optimization C. Trade-offs
B. Criteria D. Constraints
____12. A restriction on a product is:
A. Optimization C. Trade-offs
B. Criteria D. Constraints
____13. Creating the most effective and functional product, system, or process is:
A. Optimization C. Trade-offs
B. Criteria D. Constraints
____14. A compromise in which you give up one thing in order to gain something else is:
A. Optimization C. Trade-offs
B. Criteria D. Constraints
____15. An explanation for something that is used as the basis for further investigation
is:
A. Scientific Theory C. Scientific Law
B. Hypothesis D. Criteria
____16. A scientific conclusion carefully developed through experimentation is:
A. Scientific Theory C. Scientific Law
B. Hypothesis D. Criteria
____17. A theory that has been proven true so often that it is accepted as fact is:
A. Scientific Theory C. Scientific Law
B. Hypothesis D. Criteria
18. List the seven resources needed to create new technology.
- 5.
- 6.
- 7.
4.
19. List the six simple machines used to change direction, speed, or force.
- 4.
- 5.
- 6.
STRAW ROCKET PROJECT
WORK SHEET
INTRODUCTION: In this unit we learned that modern technology is quite different
than the technologies used by primitive people. We learned that
modern technology depends heavily on science and mathematics
as well as other subjects. Scientist use technology as a tool for
scientific discovery. Mathematics is used to determine such things
as the flight characteristics of military airplanes and the operating
speed of computers.
In this activity, you will design and construct a straw rocket to test
certain scientific and mathematical information learned from
launching your rocket. These types of experiments are used in
building and launching real rockets. This will be an individual
project. This project is worth 204 points.
CRITERIA: The straw rocket must meet all requirements to be launched. The
straw rocket must not have any defects (squashed, bent, etc.) to be
launched.
CONSTRAINTS: Minimum straw length ten inches. Maximum length twenty inches.
The minimum fins allowed on rocket is two. The maximum fins
allowed on rocket is five.
Clay ball diameter for nose cone can be no larger than 2
centimeters.
MATERIALS NEEDED: Precision Straw
3 inch by 5 inch Index Card
Ball of Clay (2cm)
Scotch Tape
Ruler
Scissors
Pencil
PROCEDURES:Please read procedures carefully.
- Design your rocket by sketching several ideas you could use and
then choose one to construct. Remember the constraints.
- Determine the fin shape, number of fins, rocket length and nose
cone shape you want to use.