core curriculum standards

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NEW JERSEY CORE CURRICULUM STANDARDS

K – 8

CROSS CONTENT

MATHEMATICS

SCIENCE

http://www.state.nj.us/njded/stass/index.html

CROSS-CONTENT WORKPLACE READINESS

STANDARDS AND PROGRESS INDICATORS

STANDARD 2 ALL STUDENTS WILL USE INFORMATION, TECHNOLOGY, AND OTHER TOOLS.

Cumulative Progress Indicators

All students will be able to:

1. Understand how technological systems function.

2. Select appropriate tools and technology for specific activities.

3. Demonstrate skills needed to effectively access and use technology-based materials through keyboarding, troubleshooting, and retrieving and managing information.

4. Develop, search, and manipulate databases.

5. Access technology-based communication and information systems.

Access and assess information on specific topics using both technological (e.g., computer, telephone, satellite) and print resources available in libraries or media centers.
Use technology and other tools to solve problems, collect data, and make decisions.

8. Use technology and other tools, including word-processing, spreadsheet and presentation programs, and print or graphic utilities, to produce products.

Use technology to present designs and results of investigations.
Discuss problems related to the increasing use of technologies.

STANDARD 3 ALL STUDENTS WILL USE CRITICAL THINKING, DECISION-MAKING, AND PROBLEM-SOLVING SKILLS.

Cumulative Progress Indicators

All students will be able to:

1. Recognize and define a problem, or clarify decisions to be made.

2. Use models, relationships, and observations to clarify problems and potential solutions.

3. Formulate questions and hypotheses.

4. Identify and access resources, sources of information, and services in the school and the community.

5. Use the library media center as a critical resource for inquiry and assessment of print and nonprint materials.

6. Plan experiments.

7. Conduct systematic observations.

8. Organize, synthesize, and evaluate information for appropriateness and completeness.

Identify patterns and investigate relationships.
Monitor and validate their own thinking.
Identify and evaluate the validity of alternative solutions.
Interpret and analyze data to draw conclusions.
Select and apply appropriate solutions to problem-solving and decision-making situations.
Evaluate the effectiveness of various solutions.
Apply problem-solving skills to original and creative/design projects.

STANDARD 4 ALL STUDENTS WILL DEMONSTRATE SELF-MANAGEMENT SKILLS.

Cumulative Progress Indicators

All students will be able to:

1. Set short and long term goals.

2. Work cooperatively with others to accomplish a task.

3. Evaluate their own actions and accomplishments.

5. Provide constructive criticism to others.

.9. Use time efficiently and effectively.

STANDARD 5 ALL STUDENTS WILL APPLY SAFETY PRINCIPLES,

Cumulative Progress Indicators

All students will be able to:

4. Demonstrate safe use of tools and equipment.

5. Identify and demonstrate the use of recommended safety and protective devices.

7. Identify and follow safety procedures for laboratory and other hands-on experiences.

MATHEMATICS

STANDARDS AND PROGRESS INDICATORS

STANDARD 4.1 ALL STUDENTS WILL DEVELOP THE ABILITY TO POSE AND SOLVE MATHEMATICAL PROBLEMS IN MATHEMATICS, OTHER DISCIPLINES, AND EVERYDAY EXPERIENCES.

Cumulative Progress Indicators

By the end of Grade 8, students:

10. Use discovery-oriented, inquiry-based, and problem-centered approaches to investigate and understand mathematical content appropriate to the middle grades.

11. Recognize, formulate, and solve problems arising from mathematical situations, everyday experiences, and applications to other disciplines.

12. Construct and use concrete, pictorial, symbolic, and graphical models to represent problem situations and effectively apply processes of mathematical modeling in mathematics and other areas.

STANDARD 4.2 ALL STUDENTS WILL COMMUNICATE MATHEMATICALLY THROUGH WRITTEN, ORAL, SYMBOLIC, AND VISUAL FORMS OF EXPRESSION.

Cumulative Progress Indicators

By the end of Grade 8, students:

Identify and explain key mathematical concepts and model situations using geometric and algebraic methods.
Use mathematical language and symbols to represent problem situations, and recognize the economy and power of mathematical symbolism and its role in the development of mathematics.

8. Analyze, evaluate, and explain mathematical arguments and conclusions presented by others.

STANDARD 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 DISCIPLINE AND IN LIFE.

Cumulative Progress Indicators

By the end of Grade 8, students:

8. Recognize and apply unifying concepts and processes which are woven throughout mathematics.

9. Use the process of mathematical modeling in mathematics and other disciplines, and demonstrate understanding of its methodology, strengths, and limitations.

10. Apply mathematics in their daily lives and in career-based contexts.

11. Recognize situations in other disciplines in which mathematical models may be applicable, and apply appropriate models, mathematical reasoning, and problem solving to those situations.

STANDARD 4.4 ALL STUDENTS WILL DEVELOP REASONING ABILITY AND WILL BECOME SELF-RELIANT, INDEPENDENT MATHEMATICAL THINKERS.

Cumulative Progress Indicators

By the end of Grade 8, students:

6. Make conjectures based on observation and information, and test mathematical conjectures and arguments.

STANDARD 4.5 ALL STUDENTS WILL REGULARLY AND ROUTINELY USE CALCULATORS, COMPUTERS, MANIPULATIVE,, AND OTHER MATHEMATICAL TOOLS TO ENHANCE MATHEMATICAL THINKING, UNDERSTANDING, AND POWER.

Cumulative Progress Indicators

By the end of Grade 8, students:

6.Use a variety of technologies to evaluate and validate problem solutions, and to investigate the properties of functions and their graphs.

7. Use computer spreadsheets and graphing programs to organize and display quantitative information and to investigate properties of functions.

STANDARD 4.9 ALL STUDENTS WILL DEVELOP AN UNDERSTANDING OF AND WILL USE MEASUREMENT TO DESCRIBE AND ANALYZE PHENOMENA.

Cumulative Progress Indicators

By the end of Grade 8, students:

7. Use estimated and actual measurements to describe and compare phenomena.

Read and interpret various scales, including those based on number lines and maps.
Determine the degree of accuracy needed in a given situation and choose units accordingly.

12. Explore situations involving quantities which cannot be measured directly or conveniently. 13. Convert measurement units from one form to another, and carry out calculations that involve various units of measurement.

STANDARD 4.12 ALL STUDENTS WILL DEVELOP AN UNDERSTANDING OF STATISTICS AND PROBABILITY AND WILL USE THEM TO DESCRIBE SETS OF DATA, MODEL SITUATIONS, AND SUPPORT APPROPRIATE INFERENCES AND ARGUMENTS.

Cumulative Progress Indicators

By the end of Grade 8, students:

Generate, collect, organize, and analyze data and represent this data in tables, charts, and graphs.
Select and use appropriate graphical representations and measures of central tendency (mean, mode and median) for sets of data.
Make inferences and formulate and evaluate arguments based on data analysis and data displays.
Use lines of best fit to interpolate and predict from data.

STANDARD 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.

Cumulative Progress Indicators

By the end of Grade 8, students:

5..Understand and use variables, expressions, equations, and inequalities.

Represent situations and number patterns with concrete materials, tables, graphs, verbal rules, and standard algebraic notation.

8. Analyze tables and graphs to identify properties and relationships.

11. Explore linear equations through the use of calculators, computers, and other technology.

Investigate inequalities and nonlinear equations informally.
Draw freehand sketches of, and interpret, graphs which model real phenomena.

STANDARD 4.14 ALL STUDENTS WILL APPLY THE CONCEPTS AND METHODS OF DISCRETE MATHEMATICS TO MODEL AND EXPLORE A VARIETY OF PRACTICAL SITUATIONS.

Cumulative Progress Indicators

By the end of Grade 8, students:

Explore methods for storing, processing, and communicating information.

SCIENCE

STANDARDS AND PROGRESS INDICATORS

STANDARD 5.1 ALL STUDENTS WILL LEARN TO IDENTIFY SYSTEMS OF INTERACTING COMPONENTS AND UNDERSTAND HOW THEIR INTERACTIONS COMBINE TO PRODUCE THE OVERALL BEHAVIOR OF THE SYSTEM. Cumulative Progress Indicators

By the end of Grade 8, students:

4. Describe components of a system and how they influence one another.

5. Recognize that most systems are components of larger systems and that the output of one component can become the input to other components.

STANDARD 5.2 ALL STUDENTS WILL DEVELOP PROBLEM-SOLVING, DECISION-MAKING, AND INQUIRY SKILLS REFLECTED BY FORMULATING USABLE QUESTIONS AND HYPOTHESES, PLANNING EXPERIMENTS, CONDUCTING SYSTEMATIC OBSERVATIONS, INTERPRETING AND ANALYZING DATA, DRAWING CONCLUSIONS, AND COMMUNICATING RESULTS.

Cumulative Progress Indicators

By the end of Grade 8, students:

6. Identify problems that can be solved by conducting experiments.

7. Design and conduct experiments incorporating the use of a control.

8. Collect and organize data to support the results of an experiment.

9. Communicate experimental findings using words, charts, graphs, pictures, and diagrams.

10. Evaluate the strengths and weaknesses of claims, arguments, and data.

11. Assess the risks and benefits associated with alternative actions.

STANDARD 5.4 ALL STUDENTS WILL DEVELOP AN UNDERSTANDING OF TECHNOLOGY AS AN APPLICATION OF SCIENTIFIC PRINCIPLES. By the end of Grade 8, students: 6. Describe how technology expands the ability of scientists and others to make measurements and observations.

9. Compare the advantages and disadvantages of alternative solutions to practical problems.

STANDARD 5.5 ALL STUDENTS WILL INTEGRATE MATHEMATICS AS A TOOL FOR

PROBLEM-SOLVING IN SCIENCE, AND AS A MEANS OF EXPRESSING AND/OR MODELING SCIENTIFIC THEORIES.

Cumulative Progress Indicators

By the end of Grade 8, students:

6. Express experimental data in several equivalent forms such as integers, fractions, decimals, and percents.

7. Infer mathematical relationships among variables using graphs, tables, and charts.

8. Express the output units of the calculation in terms of the input units.

9. Select appropriate measuring instruments based on the degree of precision needed.

10. Find the mean and median of a set of experimental data.

STANDARD 5.6 ALL STUDENTS WILL GAIN AN UNDERSTANDING OF THE STRUCTURE, CHARACTERISTICS, AND BASIC NEEDS OF ORGANISMS.

Cumulative Progress Indicators

By the end of Grade 8, sudents:

Explain how organisms are affected by different components of an ecosystem and the flow

of energy through it.

STANDARD 5.9 ALL STUDENTS WILL GAIN AN UNDERSTANDING OF NATURAL LAWS AS THEY APPLY TO MOTION, FORCES, AND ENERGY TRANSFORMATIONS. Cumulative Progress Indicators

By the end of Grade 8, students

11. Describe the various forms of energy, including heat, light, sound, chemical, nuclear,

mechanical, and electrical energy, and that energy can be transformed from one form to another.

STANDARD 5.10 ALL STUDENTS WILL GAIN AN UNDERSTANDING OF THE STRUCTURE, DYNAMICS, AND GEOPHYSICAL SYSTEMS OF THE EARTH.

Cumulative Progress Indicators

By the end of Grade 8, students:

10. Investigate the composition, cycling, and distribution of the world's oceans and other naturally occurring sources of water. STANDARD 5.12 ALL STUDENTS WILL DEVELOP AN UNDERSTANDING OF THE ENVIRONMENT AS A SYSTEM OF INTERDEPENDENT COMPONENTS AFFECTED BY HUMAN ACTIVITY AND NATURAL PHENOMENA.

Cumulative Progress Indicators

By the end of Grade 8, students:

4. Evaluate the impact of personal and societal activities on the local and global environment.

5. Compare and contrast practices that affect the use and management of natural resources.

6. Recognize that individuals and groups may have differing points of view on environmental issues.

7. Analyze the components of various ecosystems and the effects of those components on organisms.

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