Mathematics, Science, and Technology Learning Standards
- Standard 1:
Analysis, Inquiry, and Design
Students will use mathematical analysis, scientific inquiry, and engineenng design, as appropuate, to pose questions, seek answers, and develop solubons.- Mathematical
Analysis
- Key
Idea 1 - Abstraction and symbolic representation are used
to communicate mathematically.
- Key
Idea 1 - Alternate - Symbolic representation is used to
communicate mathematically.
- Key
Idea 2 - Deductive and inductive reasoning are used to reach
mathematical conclusions.
- Key
Idea 3 - Critical thinking skills are used in the solution
of mathematical problems.
- Key
Idea 1 - Abstraction and symbolic representation are used
to communicate mathematically.
- Scientific
Inquiry
- Key
Idea 1
- The central purpose of scientific inquiry is to develop explanations
of natural phenomena in a continuing, creative process.
- Key
Idea 2 - Beyond the use of reasoning and consensus, scientific
inquiry involves the testing of proposed explanations involving
the use of conventional techniques and procedures and usually
requiring considerable ingenuity.
- Key
Idea 3 - The observations made while testing proposed explanations,
when analyzed using conventional and invented methods, provide
new insights into phenomena.
- Key
Idea 1
- The central purpose of scientific inquiry is to develop explanations
of natural phenomena in a continuing, creative process.
- Engineering
Design
- Key
Idea 1 - Engineering design is an iterative process involving
modeling and optimization finding the best solution within given
constraints which is used to develop technological solutions
to problems within given constraints.
- Key Idea 1 - Alternate - Engineering design is a repetitive process involving modeling and optimization, finding the best solution within given constraints which is used to develop technological solutions to problems within given constraints.
- Key
Idea 1 - Engineering design is an iterative process involving
modeling and optimization finding the best solution within given
constraints which is used to develop technological solutions
to problems within given constraints.
- Mathematical
Analysis
- Standard 2:
Information Systems
Students will access, generate, process and transfer informabon using appropriate technologies.- Information
Systems
- Key
Idea 1 - Information technology is used to retrieve, process,
and communicate information and as a tool to enhance learning.
- Key
Idea 2
- Knowledge of the impacts and limitations of information systems
is essential to its effective and ethical use.
- Key Idea 3 - Information technology can have positive and negative impacts on society, depending upon how it is used.
- Key
Idea 1 - Information technology is used to retrieve, process,
and communicate information and as a tool to enhance learning.
- Information
Systems
- Standard 3:
Mathematics
Students will understand mathemabcs and become mathemab cally confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability, and trigonometry.- Mathematical
Reasoning
- Key
Idea 1 - Students use mathematical reasoning to analyze
mathematical situations, make conjectures, gather evidence,
and construct an argument.
- Key
Idea 1 - Students use mathematical reasoning to analyze
mathematical situations, make conjectures, gather evidence,
and construct an argument.
- Number
and Numeration
- Key
Idea 1 - Alternate - Students use number sense and numeration
to communicate mathematically and use numbers in the development
of concrete mathematical ideas.
- Key
Idea 2
- Students use number sense and numeration to develop an understanding
of the multiple uses of numbers in the real world, the use of
numbers to communicate mathematically, and the use of numbers
in the development of mathematical ideas.
- Key
Idea 1 - Alternate - Students use number sense and numeration
to communicate mathematically and use numbers in the development
of concrete mathematical ideas.
- Operations
- Key
Idea 1 - Alternate - Students use mathematical operations
to understand mathematics.
- Key
Idea 3 - Students use mathematical operations and relationships
among them to understand mathematics.
- Key
Idea 1 - Alternate - Students use mathematical operations
to understand mathematics.
- Modeling/Multiple
Representation
- Key
Idea 4
- Students use mathematical modeling/multiple representation
to provide a means of presenting, interpreting, communicating,
and connecting mathematical information and relationships.
- Key
Idea 4
- Students use mathematical modeling/multiple representation
to provide a means of presenting, interpreting, communicating,
and connecting mathematical information and relationships.
- Measurement
- Key
Idea 1 - Alternate - Students use measurement in real-world
situations.
- Key
Idea 5 - Students use measurement in both metric and English
measure to provide a major link between the abstractions of
mathematics and the real world in order to describe and compare
objects and data.
- Key
Idea 1 - Alternate - Students use measurement in real-world
situations.
- Uncertainty
- Key
Idea 6 - Students use ideas of uncertainty to illustrate
that mathematics involves more than exactness when dealing with
everyday situations.
- Key
Idea 6 - Students use ideas of uncertainty to illustrate
that mathematics involves more than exactness when dealing with
everyday situations.
- Patterns/Functions
- Key
Idea 1 - Alternate
- Students use mathematical patterns in a real-world situation.
- Key Idea 7 - Students use patterns and functions to develop mathematical power, appreciate the true beauty of mathematics, and construct generalizations that describe patterns simply and efficiently.
- Key
Idea 1 - Alternate
- Students use mathematical patterns in a real-world situation.
- Mathematical
Reasoning
- Standard 4:
Science
Students will understand and apply scientific concepts, principles, and theories pertaining to the physical sebting and living environment and recognize the historical development of ideas in science.- Physical
Setting
- Key
Idea 1
- The Earth and celestial phenomena can be described by principles
of relative motion and perspective.
- Key
Idea 2
- Many of the phenomena that we observe on Earth involve interactions
among components of air, water, and land.
- Key
Idea 3
- Matter is made up of particles whose properties determine
the observable characteristics of matter and its reactivity.
- Key
Idea 4 - Energy exists in many forms, and when these forms
change energy is conserved.
- Key
Idea 5 - Energy and matter interact through forces that
result in changes in motion.
- Key
Idea 1
- The Earth and celestial phenomena can be described by principles
of relative motion and perspective.
- The Living
Environment
- Key
Idea 1 - Living things are both similar to and different
from each other and nonliving things.
- Key
Idea 2 - Organisms inherit genetic information in a variety
of ways that result in continuity of structure and function
between parents and offspring.
- Key
Idea 2 - Alternate - Individual organisms and species change
over time.
- Key
Idea 3 - Individual organisms and species change over time.
- Key
Idea 3 - Alternate - The continuity of life is sustained
through reproduction and development.
- Key
Idea 4 - The continuity of life is sustained through reproduction
and development.
- Key
Idea 4 - Alternate - Organisms maintain a dynamic equilibrium
that sustains life.
- Key
Idea 5 - Organisms maintain a dynamic equilibrium that sustains
life.
- Key
Idea 5 - Alternate - Plants and animals depend on each other
and their physical environment.
- Key
Idea 6 - Plants and animals depend on each other and their
physical environment.
- Key
Idea 6 - Alternate - Human decisions and activities have
had a profound impact on the physical and living environment.
- Key Idea 7 - Human decisions and activities have had a profound impact on the physical and living environment.
- Key
Idea 1 - Living things are both similar to and different
from each other and nonliving things.
- Physical
Setting
- Standard 5:
Technology
Students will apply technological knowledge and skills to design, construct, use, and evaluate products and systems to satisfy human and environmental needs.- Engineering
Design
- Key
Idea 1 - Engineering design is an iterative process involving
modeling and optimization used to develop technological solutions
to problems within given constraints.
- Key
Idea 1 - Alternate
- Engineering design is a repetitive process involving modeling
and optimization, finding the best solution within given constraints
which is used to develop technological solutions to problems
within given constraints.
- Key
Idea 1 - Engineering design is an iterative process involving
modeling and optimization used to develop technological solutions
to problems within given constraints.
- Tools,
Resources, and Technological Processes
- Key
Idea 1 - Alternate
- Technological tools, materials and other resources should
be selected on the basis of safety, cost, availability, appropriateness
and environmental impact; technological processes change energy,
information and material resources into more useful forms.
- Key
Idea 2 - Technological tools, materials, and other resources
should be selected on the basis of safety, cost, availability,
appropriateness, and environmental impact; technological processes
change energy, information, and material resources into more
useful forms.
- Key
Idea 1 - Alternate
- Technological tools, materials and other resources should
be selected on the basis of safety, cost, availability, appropriateness
and environmental impact; technological processes change energy,
information and material resources into more useful forms.
- Computer
Technology
- Key
Idea 1 - Alternate - Computers, as tools for design, modeling,
information processing, communication, and system control, have
greatly increased human productivity and knowledge.
- Key
Idea 3 - Computers, as tools for design, modeling, information
processing, communication, and system control, have greatly
increased human productivity and knowledge.
- Key
Idea 1 - Alternate - Computers, as tools for design, modeling,
information processing, communication, and system control, have
greatly increased human productivity and knowledge.
- Technological
Systems
- Key
Idea 1 - Alternate - Technology can have positive and negative
impacts on individuals, society and the environment. Humans
have the capability and responsibility to constrain or promote
technological development.
- Key
Idea 4 - Technological systems are designed to achieve specific
results and produce outputs, such as products, structures, services,
energy, or other systems.
- History
and Evolution of Technology
- Key
Idea 5 - Technology has been the driving force in the evolution
of society from an agricultural to an industrial to an information
base.
- Key
Idea 1 - Alternate - Technology can have positive and negative
impacts on individuals, society and the environment. Humans
have the capability and responsibility to constrain or promote
technological development.
- Impacts
of Technology
- Key
Idea 1 - Alternate
- Technology can have positive and negative impacts on individuals,
society and the environment. Humans have the capability and
responsibility to constrain or promote technological development.
- Key
Idea 6
- Technology can have positive and negative impacts on individuals,
society, and the environment and humans have the capability
and responsibility to constrain or promote technological development.
- Key
Idea 1 - Alternate
- Technology can have positive and negative impacts on individuals,
society and the environment. Humans have the capability and
responsibility to constrain or promote technological development.
- Management
of Technology
- Key
Idea 1 - Alternate - Project management is essential to
ensuring that technological endeavors are profitable and that
products and systems are of high quality and built safely, on
schedule and within budget.
- Key Idea 7 - Project management is essential to ensuring that technological endeavors are profitable and that products and systems are of high quality and built safely, on schedule, and within budget.
- Key
Idea 1 - Alternate - Project management is essential to
ensuring that technological endeavors are profitable and that
products and systems are of high quality and built safely, on
schedule and within budget.
- Engineering
Design
- Standard 6:
Interconnectedness: Common Themes
Students will understand the relabonships and common themes that connect mathematics, science, and technology and apply the bhemes to these and other areas of learning.- Systems
Thinking
- Key
Idea 1 - Through systems thinking, people can recognize
the commonalities that exist among all systems and how parts
of a system interrelate and combine to perform specific functions.
- Key
Idea 1 - Through systems thinking, people can recognize
the commonalities that exist among all systems and how parts
of a system interrelate and combine to perform specific functions.
- Models
- Key
Idea 1 - Alternate - Models are simplified representations
of objects, structures or systems used in analysis, explanation,
interpretation or design.
- Key
Idea 2 - Models are simplified representations of objects,
structures, or systems used in analysis, explanation, interpretation,
or design.
- Key
Idea 1 - Alternate - Models are simplified representations
of objects, structures or systems used in analysis, explanation,
interpretation or design.
- Magnitude
and Scale
- Key
Idea 2 - Alternate
- The grouping of magnitudes of size, time, frequency and pressures
or other units of measurement into a series of relative order
provides a useful way to deal with the immense range and the
changes in scale that affect the behavior and design of systems.
- Key
Idea 3 - The grouping of magnitudes of size, time, frequency,
and pressures or other units of measurement into a series of
relative order provides a useful way to deal with the immense
range and the changes in scale that affect the behavior and
design of systems.
- Key
Idea 2 - Alternate
- The grouping of magnitudes of size, time, frequency and pressures
or other units of measurement into a series of relative order
provides a useful way to deal with the immense range and the
changes in scale that affect the behavior and design of systems.
- Equilibrium
and Stability
- Key
Idea 1 - Alternate
- Equilibrium is a state of stability due either to a lack of
changes (static equilibrium) or a balance between opposing forces
(dynamic equilibrium).
- Key
Idea 4 - Equilibrium is a state of stability due either
to a lack of changes (static equilibrium) or a balance between
opposing forces (dynamic equilibrium).
- Key
Idea 1 - Alternate
- Equilibrium is a state of stability due either to a lack of
changes (static equilibrium) or a balance between opposing forces
(dynamic equilibrium).
- Patterns
of Change
- Key
Idea 5
- Identifying patterns of change is necessary for making predictions
about future behavior and conditions.
- Key
Idea 5
- Identifying patterns of change is necessary for making predictions
about future behavior and conditions.
- Optimization
- Key Idea 6 -In order to arrive at the best solution that meets criteria within constraints, it is often necessary to make trade-offs.
- Systems
Thinking
- Standard 7:
Interdisciplinary Problem Solving
Students will apply the knowledge and thinking skills of mathematics, science, and technology to address real-life problems and make informed decisions.- Connections
- Key
Idea 1
- The knowledge and skills of mathematics, science, and technology
are used together to make informed decisions and solve problems,
especially those relating to issues of science/technology/society,
consumer decision making, design, and inquiry into phenomena.
- Key
Idea 1
- The knowledge and skills of mathematics, science, and technology
are used together to make informed decisions and solve problems,
especially those relating to issues of science/technology/society,
consumer decision making, design, and inquiry into phenomena.
- Strategies
- Key Idea 2 - Solving interdisciplinary problems involves a variety of skills and strategies, including effective work habits; gathering and processing information; generating and analyzing ideas; realizing ideas; making connections among the common themes of mathematics, science, and technology; and presenting results.
- Connections