A CIESE Realtime Data Project

# CIESE -Navigational Vectors - Curriculum Standards

## Curriculum Standards

### National Science Education Standards

• As a result of the activities, all students should develop an understanding of properties and changes of properties in matter.
• As a result of the activities, all students should develop an understanding of transfer of energy.
• As a result of the activities, all students should develop an understanding about scientific inquiry.
• As a result of the activities, all students should develop an understanding of math in the study of science.

### New Jersey Core Curriculum Content Standards: Science

5.1 Science Practices
A. Understand Scientific Explanations:
Students understand core concepts and principles of science and use measurement and observation tools to assist in categorizing, representing, and interpreting the natural and designed world.
B. Generate Scientific Evidence Through Active Investigations: Students master the conceptual, mathematical, physical, and computational tools that need to be applied when constructing and evaluating claims.

### NCTM Curriculum and Evaluation Standards for School Mathematics

• Standard 1: Mathematics as Problem Solving
• Use problem-solving approaches to investigate and understand mathematical content
• Formulate problems from situations within and outside mathematics
• Verify and interpret results with respect to the original problem situation
• Generalize solutions and strategies to new problem situations
• Acquire confidence in using mathematics meaningfully
• Standard 2: Mathematics as Communication
• Model situations using oral, written, concrete, pictorial, graphical, and algebraic methods
• Reflect on and clarify their own thinking about mathematical ideas and situations
• Use the skills of reading, listening, and viewing to interpret and evaluate mathematical ideas
• Discuss mathematical ideas and make conjectures and convincing arguments
• Standard 3: Mathematics as Reasoning
• Understand and apply reasoning processes, with special attention to spatial reasoning and reasoning with proportions and graphs
• Make and evaluate mathematical conjectures and arguments
• Validate their own thinking
• Appreciate the pervasive use and power of reasoning as a part of mathematics
• Standard 4: Mathematical Connections
• Explore problems and describe results using graphical, numerical, physical, algebraic, and verbal mathematical models or representations
• Apply mathematical thinking and modeling to solve problems that arise in other disciplines, such as art, music, psychology, science, and business
• Value the role of mathematics in our culture and society
• Standard 5: Number and Number Relationships
• Represent numerical relationships in one- and two-dimensional graphs
• Standard 8: Patterns and Functions
• Describe, extend, analyze, and create a wide variety of patterns
• Describe and represent relationships with tables, graphs, and rules
• Analyze functional relationships to explain how a change in one quantity results in a change in another
• Use patterns and functions to represent and solve problems
• Standard 9: Algebra
• Understand the concepts of variable, expression, and equation
• Represent situations and number patterns with tables, graphs, verbal rules, and equations and explore the interrelationships of these representations
• Analyze tables and graphs to identify properties and relationships
• Apply algebraic methods to solve a variety of real-world and mathematical problems
• Standard 10: Statistics
• Systematically collect, organize, and describe data
• Construct, read, and interpret tables, charts, and graphs
• Make inferences and convincing arguments that are based on data analysis
• Evaluate arguments that are based on data analysis
• Develop an appreciation for statistical methods as powerful means for decision making
• Standard 13: Measurement
• Extend their understanding of the process of measurement
• Estimate, make, and use measurements to describe and compare phenomena
• Select appropriate units and tools to measure to the degree of accuracy required in a particular situation
• Understand the structure and use of systems of measurement

### National Educational Technology Standards (NETS)

• Standard 4: Technology Communication Tools
• Students use telecommunications to collaborate, publish, and interact with peers, experts, and other audiences.
• Standard 5: Technology Research Tools
• Students use technology to locate, evaluate, and collect information from a variety of sources.
• Students use technology tools to process data and report results.
• Standard 6: Technology Problem-solving and Decision-making Tools
• Students use technology resources for solving problems and making informed decisions.
Students employ technology in the development of strategies for solving problems in the real world.

### New Jersey Core Curriculum Content Standards: Mathematics

• 4.1: All Students Will Develop the Ability to Pose and Solve Mathematical Problems in Mathematics, Other Disciplines, and Everyday Experiences
• 4.2: All Students Will Communicate Mathematically through Written, Oral, Symbolic, and Visual Forms of Expression.
• 4.3: All Students Will Connect Mathematics to Other Learning by Understanding the Interrelationships of Mathematical Ideas and the Roles that Mathematics and Mathematical Modeling Play in Other Disciplines and in Life
• 4.4: All Students Will Develop Reasoning Ability and Will Become Self-Reliant, Independent Mathematical Thinkers.
• 4.5: All Students Will Regularly and Routinely Use Calculators, Computers, Manipulatives, and Other Mathematical Tools to Enhance Mathematical Thinking, Understanding, And Power.
• 4.9: All Students Will Develop an Understanding of and Will Use Measurement to Describe and Analyze Phenomena.
• 4.11: All Students Will Develop an Understanding of Patterns, Relationships, and Functions and Will Use Them to Represent and Explain Real-World Phenomena.
• 4.13: All Students Will Develop an Understanding of Algebraic Concepts and Processes and Will Use Them to Represent and Analyze Relationships among Variable Quantities and to Solve Problems.
• 4.16: All Students Will Demonstrate High Levels of Mathematical Thought through Experiences which Extend beyond Traditional Computation, Algebra, and Geometry.

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