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Understand patterns, relations, and functions
- Represent, analyze, and generalize a variety of patterns with tables,
graphs, words, and, when possible, symbolic rules.
- Relate and compare different forms of representation for a
relationship.
- Identify functions as linear or nonlinear and contrast their properties
from tables, graphs, or equations.
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Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes |
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Use mathematical models to represent and understand quantitative relationships
- Model and solve contextualized problems using various
representations, such as graphs, tables, and equations.
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Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes |
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Analyze change in various contexts
- Use graphs to analyze the nature of changes in quantities in linear
relationships.
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Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes |
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Understand measurable attributes of objects and the units, systems,
and processes of measurement
- Understand both metric and customary systems of measurement.
- Understand relationships among units and convert from one unit to
another within the same system.
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Phase 1. Preliminary Activities
Phase 2. Design (graphics/layout)
Phase 3. Design Phase: Go/No Go
Phase 4. Car Construction
Phase 5. Collect Data
Phase 6. Trial Phase: Go/No Go
Phase 7. Trial Races
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail
Phase 12. Race-Ready Phase: Go/No Go
Phase 13. Design and Aesthetic Judging
Phase 14. A Day at the Races
Phase 15. Collect Data – complete database
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Apply appropriate techniques, tools, and formulas to determine
measurements
- Solve simple problems involving rates and derived measurements for
such attributes as velocity and density.
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Phase 1. Preliminary Activities
Phase 2. Design (graphics/layout)
Phase 3. Design Phase: Go/No Go
Phase 4. Car Construction
Phase 5. Collect Data
Phase 6. Trial Phase: Go/No Go
Phase 7. Trial Races
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail
Phase 12. Race-Ready Phase: Go/No Go
Phase 13. Design and Aesthetic Judging
Phase 14. A Day at the Races
Phase 15. Collect Data – complete database
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Formulate questions that can be addressed with data and collect,
organize, and display relevant data to answer them
- Formulate questions, design studies, and collect data about a
characteristic shared by two populations or different characteristics
within one population.
- Select, create, and use appropriate graphical representations of data.
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Phase 1. Preliminary Activities
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail
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Select and use appropriate statistical methods to analyze data
- Discuss and understand the correspondence between data sets and
their graphical representations.
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Phase 1. Preliminary Activities
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail |
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Develop and evaluate inferences and predictions that are based on data
- Use observations about differences between two or more samples to
make conjectures about the populations from which the samples
were taken.
- Make conjectures about possible relationships between two
characteristics of a sample on the basis of scatter plots of the data
and approximate lines of fit.
- Use conjectures to formulate new questions and plan new studies to
answer them.
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Phase 1. Preliminary Activities
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail |
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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
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Phase 1. Preliminary Activities
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail
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- 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
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Phase 1. Preliminary Activities
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail
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- Organize and consolidate mathematical thinking through
communication
- Communicate 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
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Phase 1. Preliminary Activities
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail
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- 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
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Phase 1. Preliminary Activities
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail
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- 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
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Phase 1. Preliminary Activities
Phase 8. Collect Data
Phase 9. Analyze Data
Phase 10. Propose Technical Changes
Phase 11. Design Modifications and Detail
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