Students will solve problems (using appropriate technology).
Process Standards
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Build new mathematical knowledge through problem solving
Solve problems that arise in mathematics and in other contexts
Apply and adapt a variety of appropriate strategies to solve problems
Monitor and reflect on the process of mathematical problem solving
Students will solve engineering-based calculus problems (using appropriate technology)
Build new mathematical knowledge through problem solving.
Solve problems that arise in mathematics and in other contexts
Apply and adapt a variety of appropriate strategies to solve problems, such as considering realistic constraints relevant to the design of a system, component, or process.
Monitor and reflect on the process of mathematical problem solving and interpret problem solutions.
Students will use visual and written communication to express basic design elements and will communicate mathematically.
Organize and consolidate their mathematical thinking through communication
Communicate and use the language of mathematics to articulate their mathematical thinking coherently.
Present a technical design, using computer-generated model, for an assigned design project.
Students will describe the history of technological advancement and make connections among mathematical ideas and to other disciplines.
Recognize and use connections among mathematical and engineering ideas
Recognize and apply mathematics in contexts outside of mathematics.
Explain the impact of key persons and historical events and their impact on engineering and society
Describe the issues of necessity that have influenced innovation and technological development.
Students will represent mathematics in multiple ways
Create and use representations to organize, record, and communicate mathematical ideas
Select, apply, and translate among mathematical representations to solve problems.
Use representations to model and interpret physical, and mathematical phenomena.
Students will develop vocabulary and communication skills by reading text material and problem descriptions associated with engineering and technology education.
Reading in all curriculum areas.
Discussing articles or books
Building vocabulary knowledge
Students will explore and summarize the educational requirements and professional expectations associated with engineering career paths.
Students will solve problems (using appropriate technology).
Build new mathematical knowledge through problem solving
Solve problems that arise in mathematics and in other contexts
Apply and adapt a variety of appropriate strategies to solve problems. Monitor and reflect on the process of mathematical problem solving.
Students will reason and evaluate mathematical arguments.
Recognize reasoning and proof as fundamental aspects of mathematics
Make and investigate mathematical conjectures
Develop and evaluate mathematical arguments and proofs.
Select and use various types of reasoning and methods of proof.
Students will communicate mathematically.
Organize and consolidate their mathematical thinking through communication.
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
Analyze and evaluate the mathematical thinking and strategies of others.
Use the language of mathematics to express mathematical ideas precisely.
Students will make connections among mathematical ideas and to other disciplines.
Recognize and use connections among mathematical ideas.
Understand how mathematical ideas interconnect and build on one another to produce a coherent whole
Recognize and apply mathematics in contexts outside of mathematics.
Students will represent mathematics in multiple ways
Create and use representations to organize, record, and communicate mathematical ideas
Select, apply, and translate among mathematical representations to solve problems.
Use representations to model and interpret physical, social, and mathematical phenomena.
Students will solve problems (using appropriate technology).
Build new mathematical knowledge through problem solving.
Solve problems that arise in mathematics and in other contexts
Apply and adapt a variety of appropriate strategies to solve problems.
Monitor and reflect on the process of mathematical problem solving.
Students will reason and evaluate mathematical arguments.
Recognize reasoning and proof as fundamental aspects of mathematics.
Make and investigate mathematical conjecture.
Develop and evaluate mathematical arguments and proofs
Select and use various types of reasoning and methods of proof.
Students will communicate mathematically
Organize and consolidate their mathematical thinking through communication
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
Analyze and evaluate the mathematical thinking and strategies of others.
Use the language of mathematics to express mathematical ideas precisely
Students will make connections among mathematical ideas and to other disciplines.
Recognize and use connections among mathematical ideas.
Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.
Recognize and apply mathematics in contexts outside of mathematics.
Students will represent mathematics in multiple ways.
Create and use representations to organize, record, and communicate mathematical ideas
Select, apply, and translate among mathematical representations to solve problems.
Use representations to model and interpret physical, social, and mathematical phenomena.
Students will solve problems (using appropriate technology).
Build new mathematical knowledge through problem solving.
Solve problems that arise in mathematics and in other contexts.
Apply and adapt a variety of appropriate strategies to solve problems.
Monitor and reflect on the process of mathematical problem solving
Students will reason and evaluate mathematical arguments.
Recognize reasoning and proof as fundamental aspects of mathematics
Make and investigate mathematical conjectures
Develop and evaluate mathematical arguments and proofs.
Select and use various types of reasoning and methods of proof
Students will communicate mathematically.
Organize and consolidate their mathematical thinking through communication.
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
Analyze and evaluate the mathematical thinking and strategies of others.
Use the language of mathematics to express mathematical ideas precisely.
Students will make connections among mathematical ideas and to other disciplines.
Recognize and use connections among mathematical ideas.
Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.
Recognize and apply mathematics in contexts outside of mathematics.
Students will represent mathematics in multiple ways.
Create and use representations to organize, record, and communicate mathematical ideas.
Select, apply, and translate among mathematical representations to solve problems.
Use representations to model and interpret physical, social, and mathematical phenomena.
Students will solve problems (using appropriate technology).
Build new mathematical knowledge through problem solving.
Solve problems that arise in mathematics and in other contexts.
Apply and adapt a variety of appropriate strategies to solve problems
Monitor and reflect on the process of mathematical problem solving.
Students will reason and evaluate mathematical arguments.
Recognize reasoning and proof as fundamental aspects of mathematics.
Make and investigate mathematical conjecture.
Develop and evaluate mathematical arguments and proofs
Select and use various types of reasoning and methods of proof
Students will communicate mathematically
Organize and consolidate their mathematical thinking through communication.
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
Analyze and evaluate the mathematical thinking and strategies of others.
Use the language of mathematics to express mathematical ideas precisely
Students will make connections among mathematical ideas and to other disciplines.
Recognize and use connections among mathematical ideas.
Understand how mathematical ideas interconnect and build on one another to produce a coherent whole
Recognize and apply mathematics in contexts outside of mathematics.
Students will represent mathematics in multiple ways.
Create and use representations to organize, record, and communicate mathematical ideas.
Select, apply, and translate among mathematical representations to solve problems
Use representations to model and interpret physical, social, and mathematical phenomena.
Students will reason and evaluate mathematical arguments.
Recognize reasoning and proof as fundamental aspects of mathematics
Make and investigate mathematical conjecture
Develop and evaluate mathematical arguments and proofs.
Select and use various types of reasoning and methods of proof.
Students will communicate mathematically.
Organize and consolidate their mathematical thinking through communication
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others
Analyze and evaluate the mathematical thinking and strategies of others
Use the language of mathematics to express mathematical ideas precisely.
Students will make connections among mathematical ideas and to other disciplines.
Recognize and use connections among mathematical ideas
Understand how mathematical ideas interconnect and build on one another to produce a coherent whole
Recognize and apply mathematics in contexts outside of mathematics.
Students will represent mathematics in multiple ways
Create and use representations to organize, record, and communicate mathematical ideas
Select, apply, and translate among mathematical representations to solve problem
Use representations to model and interpret physical, social, and mathematical phenomena
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