# 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.

- Students use technology resources for solving problems and making informed decisions.

### 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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