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Concept A1.1

Data types & forms

Recognize that data can exist as quantitative, ordinal, categorical, and other values. Data also can be “nontraditional” forms such as graphical or other media.

Concept A1.1

Data types & forms

Recognize that data can exist as quantitative, ordinal, categorical, and other values. Data also can be “nontraditional” forms such as graphical or other media.

Dispositions & Responsibility
Concept A1.2

Data are produced by people

Recognize that data represent decisions about measurement and inclusion involving people who are and are not immediately present.

Concept A1.2

Data are produced by people

Recognize that data represent decisions about measurement and inclusion involving people who are and are not immediately present.

Dispositions & Responsibility
Concept A1.3

Variability of data

Recognize that variability is a foundational component of data.

Concept A1.3

Variability of data

Recognize that variability is a foundational component of data.

Dispositions & Responsibility
Concept A1.4

Data provides partial information

Recognize that data captures certain aspects of a model of a target phenomenon or set of objects in the world but does not represent it completely.

Concept A1.4

Data provides partial information

Recognize that data captures certain aspects of a model of a target phenomenon or set of objects in the world but does not represent it completely.

Dispositions & Responsibility
Concept A1.5

Data & AI

Recognize that data “fuels” AI, that AI can be compared to a function machine (math), algorithm (CS), or a prediction model (statistics) that relies on data to both operate and improve itself, and that AI tools can also be used to analyze complex data in research.

Concept A1.5

Data & AI

Recognize that data “fuels” AI, that AI can be compared to a function machine (math), algorithm (CS), or a prediction model (statistics) that relies on data to both operate and improve itself, and that AI tools can also be used to analyze complex data in research.

Dispositions & Responsibility
Concept A2.1

Data use risks & benefits

Recognize that data can pose risks but also benefits for individuals and groups, and understand its potential uses, limitations, and risks, including unintended consequences.

Concept A2.1

Data use risks & benefits

Recognize that data can pose risks but also benefits for individuals and groups, and understand its potential uses, limitations, and risks, including unintended consequences.

Dispositions & Responsibility
Concept A2.2

Biases in data

Recognize all data contains bias but data collection and analysis methods can increase or mitigate the effects of biases.

Concept A2.2

Biases in data

Recognize all data contains bias but data collection and analysis methods can increase or mitigate the effects of biases.

Dispositions & Responsibility
Concept A2.3

Power of data

Recognize data empowers discovery, decision-making, and advocacy across fields.

Concept A2.3

Power of data

Recognize data empowers discovery, decision-making, and advocacy across fields.

Dispositions & Responsibility
Concept A3.1

The investigative process

Recognize that making sense with data requires engaging with it in a particular way that includes combinations of the concepts and practices in the other four strands.

Concept A3.1

The investigative process

Recognize that making sense with data requires engaging with it in a particular way that includes combinations of the concepts and practices in the other four strands.

Dispositions & Responsibility
Concept A3.2

Iteration

Recognize that the investigative process is not linear but cyclic and iterative, with many of the phases repeating and looping back.

Concept A3.2

Iteration

Recognize that the investigative process is not linear but cyclic and iterative, with many of the phases repeating and looping back.

Dispositions & Responsibility
Concept A3.3

Dynamic inferences

Recognize that inferences from data are dynamic, evolving with new data and additional analysis.

Concept A3.3

Dynamic inferences

Recognize that inferences from data are dynamic, evolving with new data and additional analysis.

Dispositions & Responsibility
Concept A3.4

Apply context

Recognize that the context surrounding the data and the investigation shapes interpretation. Many fields (biology vs. psychology; economics vs. sociology) have created very different frameworks to organize problems. Considering multiple approaches may reveal useful insights from the same data.

Concept A3.4

Apply context

Recognize that the context surrounding the data and the investigation shapes interpretation. Many fields (biology vs. psychology; economics vs. sociology) have created very different frameworks to organize problems. Considering multiple approaches may reveal useful insights from the same data.

Dispositions & Responsibility
Concept A3.5

Student data agency

Cultivate the motivation to engage with data in all areas of life and understand how data impacts your own experiences.

Concept A3.5

Student data agency

Cultivate the motivation to engage with data in all areas of life and understand how data impacts your own experiences.

Dispositions & Responsibility
Concept B.1.1

Data cleaning

Identify and address data quality issues to ensure accuracy and reliability, progressing from simple error identification to using systematic approaches.

Concept B.1.1

Data cleaning

Identify and address data quality issues to ensure accuracy and reliability, progressing from simple error identification to using systematic approaches.

Creation & Curation
Concept B.1.2

Organizing & structure

Organize raw data into structured formats using categories, tables, and systematic recording methods.

Concept B.1.2

Organizing & structure

Organize raw data into structured formats using categories, tables, and systematic recording methods.

Creation & Curation
Concept B.1.3

Processing & transformation

Transform and manipulate data through sorting, grouping, filtering, and combining datasets.

Concept B.1.3

Processing & transformation

Transform and manipulate data through sorting, grouping, filtering, and combining datasets.

Creation & Curation
Concept B.1.4

Summarizing groups

Calculate and analyze group-level statistics from detailed data to reveal patterns and relationships.

Concept B.1.4

Summarizing groups

Calculate and analyze group-level statistics from detailed data to reveal patterns and relationships.

Creation & Curation
Concept B.2.1

Designing data-based investigations

Identify problems and formulate questions that guide meaningful data collection and analysis.

Concept B.2.1

Designing data-based investigations

Identify problems and formulate questions that guide meaningful data collection and analysis.

Creation & Curation
Concept B.2.2

Data creation techniques & methods

Explore various ways to generate data through simulations, sensors, and automated collection methods.

Concept B.2.2

Data creation techniques & methods

Explore various ways to generate data through simulations, sensors, and automated collection methods.

Creation & Curation
Concept B.2.3

Creating data collection plans

Develop systematic plans that specify what data to collect, how to collect it, and from what sources to answer investigation questions.

Concept B.2.3

Creating data collection plans

Develop systematic plans that specify what data to collect, how to collect it, and from what sources to answer investigation questions.

Creation & Curation
Concept B.2.4

Finding secondary data

Explore, locate, evaluate, and retrieve datasets collected by others to address research questions and data investigations.

Concept B.2.4

Finding secondary data

Explore, locate, evaluate, and retrieve datasets collected by others to address research questions and data investigations.

Creation & Curation
Concept B.3.1

Creating your own data

Collect, measure, and document data accurately using appropriate tools and methods.

Concept B.3.1

Creating your own data

Collect, measure, and document data accurately using appropriate tools and methods.

Creation & Curation
Concept B.3.2

Working with data created by others

Evaluate and interpret others' datasets by examining collection methods, context, and quality.

Concept B.3.2

Working with data created by others

Evaluate and interpret others' datasets by examining collection methods, context, and quality.

Creation & Curation
Concept B.3.3

Ethics of data collection & usage

Collect and use data ethically, considering privacy, fairness, and potential impacts.

Concept B.3.3

Ethics of data collection & usage

Collect and use data ethically, considering privacy, fairness, and potential impacts.

Creation & Curation
Concept B.4.1

Cleanliness

Work with datasets at increasing levels of cleanliness and identify how datasets need to be curated to address messiness issues.

Concept B.4.1

Cleanliness

Work with datasets at increasing levels of cleanliness and identify how datasets need to be curated to address messiness issues.

Creation & Curation
Concept B.4.2

Complexity of variables

Explore datasets containing various types of data and understand how each type serves different analytical purposes.

Concept B.4.2

Complexity of variables

Explore datasets containing various types of data and understand how each type serves different analytical purposes.

Creation & Curation
Concept B.4.3

Size

Work with datasets of increasing size in both number of observations and variables and arrange data in increasingly complex formats to facilitate meaningful analysis.

Concept B.4.3

Size

Work with datasets of increasing size in both number of observations and variables and arrange data in increasingly complex formats to facilitate meaningful analysis.

Creation & Curation
Concept B.4.4

Complexity of structure

Manipulate and combine data in increasingly complex ways to reveal new insights and patterns.

Concept B.4.4

Complexity of structure

Manipulate and combine data in increasingly complex ways to reveal new insights and patterns.

Creation & Curation
Concept C1.1

Measures of center

Analyze large datasets by measuring their central tendency while considering the context and distribution of the data.

Concept C1.1

Measures of center

Analyze large datasets by measuring their central tendency while considering the context and distribution of the data.

Analysis & Modeling Techniques
Concept C1.2

Measures of spread

Examine dataset variability by applying measures of spread to identify and quantify outliers.

Concept C1.2

Measures of spread

Examine dataset variability by applying measures of spread to identify and quantify outliers.

Analysis & Modeling Techniques
Concept C1.3

Shape

Identify the distribution of data points, including clusters, gaps, symmetry, skewness, and modes. Use these patterns to understand data spread and their impact on measures like the mean and median.

Concept C1.3

Shape

Identify the distribution of data points, including clusters, gaps, symmetry, skewness, and modes. Use these patterns to understand data spread and their impact on measures like the mean and median.

Analysis & Modeling Techniques
Concept C1.4

Frequency tables

Organize data into frequency tables based on shared characteristics. Summarize data using counts, fractions, relative frequencies, or proportions to enable comparisons and generalizations. Understand the implications of choices made when creating and interpreting frequency tables.

Concept C1.4

Frequency tables

Organize data into frequency tables based on shared characteristics. Summarize data using counts, fractions, relative frequencies, or proportions to enable comparisons and generalizations. Understand the implications of choices made when creating and interpreting frequency tables.

Analysis & Modeling Techniques
Concept C1.5

Missingness

Identify and describe missing data numerically and categorically. Distinguish between missing values and true zeros. Understand how missing data impacts relationships, patterns, and models in data interpretation.

Concept C1.5

Missingness

Identify and describe missing data numerically and categorically. Distinguish between missing values and true zeros. Understand how missing data impacts relationships, patterns, and models in data interpretation.

Analysis & Modeling Techniques
Concept C1.6

Metadata

Recognize metadata as information about data, including its source, type, and structure. Use metadata to organize, summarize, and analyze data effectively, supporting interpretation and decision-making.

Concept C1.6

Metadata

Recognize metadata as information about data, including its source, type, and structure. Use metadata to organize, summarize, and analyze data effectively, supporting interpretation and decision-making.

Analysis & Modeling Techniques
Concept C2.1

Comparing variables

Identify similarities and differences between variables and explore potential associations. Use distributions, numerical summaries, and simulations to compare groups based on numerical or categorical data.

Concept C2.1

Comparing variables

Identify similarities and differences between variables and explore potential associations. Use distributions, numerical summaries, and simulations to compare groups based on numerical or categorical data.

Analysis & Modeling Techniques
Concept C2.2

Understanding distributions

Represent data visually and numerically to describe how outcomes occur and compare groups. Use variability to interpret distribution shape, support statistical reasoning, and assess population estimates.

Concept C2.2

Understanding distributions

Represent data visually and numerically to describe how outcomes occur and compare groups. Use variability to interpret distribution shape, support statistical reasoning, and assess population estimates.

Analysis & Modeling Techniques
Concept C2.3

Defining relationships

Organize, visualize, and analyze data to identify patterns, trends, and associations. Use statistical measures and graphs to interpret relationships and make predictions.

Concept C2.3

Defining relationships

Organize, visualize, and analyze data to identify patterns, trends, and associations. Use statistical measures and graphs to interpret relationships and make predictions.

Analysis & Modeling Techniques
Concept C2.4

Analyzing non-traditional data

Examine data beyond numbers, including sounds, textures, and text. Categorize sensory inputs, track word frequencies, and analyze data from sensors and IoT devices to identify patterns and trends.

Concept C2.4

Analyzing non-traditional data

Examine data beyond numbers, including sounds, textures, and text. Categorize sensory inputs, track word frequencies, and analyze data from sensors and IoT devices to identify patterns and trends.

Analysis & Modeling Techniques
Concept C2.5

Machine learning

Use data to build decision trees, explore classification and clustering, and understand how machine learning optimizes predictions through algorithms like gradient descent.

Concept C2.5

Machine learning

Use data to build decision trees, explore classification and clustering, and understand how machine learning optimizes predictions through algorithms like gradient descent.

Analysis & Modeling Techniques
Concept C3.1

Describing variability

Identify differences within data by sorting, grouping, and organizing characteristics. Use statistical and simulation methods to represent and analyze variability, connecting it to real-world uncertainty and probabilistic processes.

Concept C3.1

Describing variability

Identify differences within data by sorting, grouping, and organizing characteristics. Use statistical and simulation methods to represent and analyze variability, connecting it to real-world uncertainty and probabilistic processes.

Analysis & Modeling Techniques
Concept C3.2

Comparing variability

Examine differences between groups by analyzing measures of spread, such as range and standard deviation. Utilize visualizations like box plots and apply statistical methods, including mean, median, and standard deviation, to compare datasets, assess variability, and uncover patterns in data distributions and models.

Concept C3.2

Comparing variability

Examine differences between groups by analyzing measures of spread, such as range and standard deviation. Utilize visualizations like box plots and apply statistical methods, including mean, median, and standard deviation, to compare datasets, assess variability, and uncover patterns in data distributions and models.

Analysis & Modeling Techniques
Concept C3.3

Understanding sources of variability

Recognize measurement errors and natural variability in data. Assess data quality, identify outliers, and refine models using statistical and contextual analysis.

Concept C3.3

Understanding sources of variability

Recognize measurement errors and natural variability in data. Assess data quality, identify outliers, and refine models using statistical and contextual analysis.

Analysis & Modeling Techniques
Concept C3.4

Variability in our computational world

Explore how AI model outputs vary based on training data, labeling, and bias. Understand how generative AI and pre-trained models use large datasets to make inferences and how variability in data impacts outcomes.

Concept C3.4

Variability in our computational world

Explore how AI model outputs vary based on training data, labeling, and bias. Understand how generative AI and pre-trained models use large datasets to make inferences and how variability in data impacts outcomes.

Analysis & Modeling Techniques
Concept C4.1

Tool application

Use digital tools to summarize data and create visualizations. Apply these tools to identify patterns, clean and prepare data, perform analysis, and build models for simulations to explore relationships and trends.

Concept C4.1

Tool application

Use digital tools to summarize data and create visualizations. Apply these tools to identify patterns, clean and prepare data, perform analysis, and build models for simulations to explore relationships and trends.

Analysis & Modeling Techniques
Concept C4.2

Tool ethics

Examine how digital tools influence access, privacy, and bias, shaping opportunities and challenges in technology use. Consider the broader ethical and societal impacts of AI, including its role in decision-making, accountability, and policy.

Concept C4.2

Tool ethics

Examine how digital tools influence access, privacy, and bias, shaping opportunities and challenges in technology use. Consider the broader ethical and societal impacts of AI, including its role in decision-making, accountability, and policy.

Analysis & Modeling Techniques
Concept C4.3

Tool evaluation

Assess the technical limitations of digital tools and compare no-code, low-code, and high-code solutions based on their capabilities and use cases.

Concept C4.3

Tool evaluation

Assess the technical limitations of digital tools and compare no-code, low-code, and high-code solutions based on their capabilities and use cases.

Analysis & Modeling Techniques
Concept C4.4

Tool selection

Choose the appropriate no-code, low-code, or high-code digital tool based on the task. Use multiple tools throughout the data investigation process and explore how digital tools are applied in the workforce.

Concept C4.4

Tool selection

Choose the appropriate no-code, low-code, or high-code digital tool based on the task. Use multiple tools throughout the data investigation process and explore how digital tools are applied in the workforce.

Analysis & Modeling Techniques
Concept C4.5

The role of code in data analysis

Explore how block coding and computer code automate and enhance data analysis. Understand how coding enables reproducible processes and compare its advantages and limitations to no-code and low-code tools.

Concept C4.5

The role of code in data analysis

Explore how block coding and computer code automate and enhance data analysis. Understand how coding enables reproducible processes and compare its advantages and limitations to no-code and low-code tools.

Analysis & Modeling Techniques
Concept C4.6

Tool accessibility for diverse learners

Understand how digital tools can support a broad range of diverse learners. Evaluate their effectiveness and impact, and explore inclusive data representations.

Concept C4.6

Tool accessibility for diverse learners

Understand how digital tools can support a broad range of diverse learners. Evaluate their effectiveness and impact, and explore inclusive data representations.

Analysis & Modeling Techniques
Concept C5.1

Understanding modeling

Analyze patterns and relationships in data using graphs, tables, and models. Explore tools like decision trees and neural networks, assess assumptions, and distinguish correlation from causation in real-world contexts.

Concept C5.1

Understanding modeling

Analyze patterns and relationships in data using graphs, tables, and models. Explore tools like decision trees and neural networks, assess assumptions, and distinguish correlation from causation in real-world contexts.

Analysis & Modeling Techniques
Concept C5.2

Creating models

Develop an understanding of patterns and relationships. Use data and technology to build and refine models. Advance these skills by constructing complex models that incorporate multiple variables, assess assumptions, and improve predictions.

Concept C5.2

Creating models

Develop an understanding of patterns and relationships. Use data and technology to build and refine models. Advance these skills by constructing complex models that incorporate multiple variables, assess assumptions, and improve predictions.

Analysis & Modeling Techniques
Concept D1.1

Probablistic language

When communicating with others, employ both plain-language and clear vocabulary to regularly describe degrees of uncertainty, both formally and informally as a thinking habit.

Concept D1.1

Probablistic language

When communicating with others, employ both plain-language and clear vocabulary to regularly describe degrees of uncertainty, both formally and informally as a thinking habit.

Interpreting Problems & Results
Concept D1.2

Priors & updates

When encountering new data, integrate probabilistic thinking into everyday situations by explicating prior assumptions and the impact of new data / evidence on those assumptions.

Concept D1.2

Priors & updates

When encountering new data, integrate probabilistic thinking into everyday situations by explicating prior assumptions and the impact of new data / evidence on those assumptions.

Interpreting Problems & Results
Concept D1.3

Expected value

When making a decision about uncertain outcomes in the future, integrate probabilistic thinking into everyday decisions by applying expected value (magnitude x probability) to appropriate situations.

Concept D1.3

Expected value

When making a decision about uncertain outcomes in the future, integrate probabilistic thinking into everyday decisions by applying expected value (magnitude x probability) to appropriate situations.

Interpreting Problems & Results
Concept D1.4

Explaning significance

Clearly describe the basic logic of statistical significance to others, differentiating between significance, the size of an effect, and the statistical power of an analysis. Recognize what statistical significance can reveal and cannot reveal about a phenomenon.

Concept D1.4

Explaning significance

Clearly describe the basic logic of statistical significance to others, differentiating between significance, the size of an effect, and the statistical power of an analysis. Recognize what statistical significance can reveal and cannot reveal about a phenomenon.

Interpreting Problems & Results
Concept D1.5

Sampling & simulation

Comfortably identify the purpose of sampling and simulation for making arguments about data, and employ techniques using software to differentiate a real-data result from random chance or “happenstance.”

Concept D1.5

Sampling & simulation

Comfortably identify the purpose of sampling and simulation for making arguments about data, and employ techniques using software to differentiate a real-data result from random chance or “happenstance.”

Interpreting Problems & Results
Concept D1.6

Correlation versus causation

Comfortably separate correlation from causation in a wide variety of situations, building a “first-reaction” thinking habit over time.

Concept D1.6

Correlation versus causation

Comfortably separate correlation from causation in a wide variety of situations, building a “first-reaction” thinking habit over time.

Interpreting Problems & Results
Concept D1.7

Randomization

When identifying a potential cause of a phenomenon, clearly describe the usefulness of randomization for constructing an argument with data.

Concept D1.7

Randomization

When identifying a potential cause of a phenomenon, clearly describe the usefulness of randomization for constructing an argument with data.

Interpreting Problems & Results
Concept D1.8

Multi-variable decision-making

Clearly describe how to leverage additional variables or additional outside data to make a logical argument, and identify potential risks of overdoing it.

Concept D1.8

Multi-variable decision-making

Clearly describe how to leverage additional variables or additional outside data to make a logical argument, and identify potential risks of overdoing it.

Interpreting Problems & Results
Concept D2.1

Verifiable questions & statements

Identify and create the type of questions that can be answered by data, and are eventually verifiable using a combination of modeling and experimentation.

Concept D2.1

Verifiable questions & statements

Identify and create the type of questions that can be answered by data, and are eventually verifiable using a combination of modeling and experimentation.

Interpreting Problems & Results
Concept D2.2

Iteration, validation, & multiple explanations

Regularly practice identifying alternative explanations for a result from data, both for interim steps and post-analysis conclusions.

Concept D2.2

Iteration, validation, & multiple explanations

Regularly practice identifying alternative explanations for a result from data, both for interim steps and post-analysis conclusions.

Interpreting Problems & Results
Concept D2.3

Uncertainty statements & limitations

Clearly explain the limitations and caveats of a conclusion from data, including the risks of extending the conclusion to another group or situation.

Concept D2.3

Uncertainty statements & limitations

Clearly explain the limitations and caveats of a conclusion from data, including the risks of extending the conclusion to another group or situation.

Interpreting Problems & Results
Concept D2.4

Relevant conclusions

Ensure that increasingly complex analysis steps remain useful for the original question, and that the method does not distract from the problem.

Concept D2.4

Relevant conclusions

Ensure that increasingly complex analysis steps remain useful for the original question, and that the method does not distract from the problem.

Interpreting Problems & Results
Concept D3.1

Application fitness

Regularly identify generalization issues, with frequent comparisons between significant real-world examples and a current analysis.

Concept D3.1

Application fitness

Regularly identify generalization issues, with frequent comparisons between significant real-world examples and a current analysis.

Interpreting Problems & Results
Concept D3.2

Sample versus population

Given a dataset, identify constraints and opportunities for what can be logically inferred about a broader population.

Concept D3.2

Sample versus population

Given a dataset, identify constraints and opportunities for what can be logically inferred about a broader population.

Interpreting Problems & Results
Concept D3.3

Sample size

When full information is hidden or inaccessible, recognize the logical relationship between a sufficient number of chances and a sufficiently large sample to reasonably represent something.

Concept D3.3

Sample size

When full information is hidden or inaccessible, recognize the logical relationship between a sufficient number of chances and a sufficiently large sample to reasonably represent something.

Interpreting Problems & Results
Concept D3.4

Sample bias

When information is completely hidden or unavailable, be aware of possible underlying issues in the sample and apply strategies to identify and address them.

Concept D3.4

Sample bias

When information is completely hidden or unavailable, be aware of possible underlying issues in the sample and apply strategies to identify and address them.

Interpreting Problems & Results
Concept D3.5

Extension Statements

Following an initial analysis, list and implement opportunities for increasing the strength of an argument, a generalization claim, or ideas for a new analysis. Explore risks of the same approaches as well.

Concept D3.5

Extension Statements

Following an initial analysis, list and implement opportunities for increasing the strength of an argument, a generalization claim, or ideas for a new analysis. Explore risks of the same approaches as well.

Interpreting Problems & Results
Concept D3.6

Subset effects

Recognize that important information may be hidden or may even change a major conclusion when data is filtered into categories and/or groups.

Concept D3.6

Subset effects

Recognize that important information may be hidden or may even change a major conclusion when data is filtered into categories and/or groups.

Interpreting Problems & Results
Concept D3.7

Meta-analysis & facts

Recognize the relationship between many trials, uncertainty, and whether a claim is a “fact.”

Concept D3.7

Meta-analysis & facts

Recognize the relationship between many trials, uncertainty, and whether a claim is a “fact.”

Interpreting Problems & Results
Concept E1.1

Sense-making with visualizations

Practice creating visualizations to summarize many things at once, relationships between things in one place, or exceedingly complex ideas in one place. Recognize that visuals can be more efficient or compelling than other forms of communication.

Concept E1.1

Sense-making with visualizations

Practice creating visualizations to summarize many things at once, relationships between things in one place, or exceedingly complex ideas in one place. Recognize that visuals can be more efficient or compelling than other forms of communication.

Visualization & Communication
Concept E1.2

Investigate with visualizations

Create data visualizations to directly support the analysis steps of data.

Concept E1.2

Investigate with visualizations

Create data visualizations to directly support the analysis steps of data.

Visualization & Communication
Concept E1.3

Clear design for user interpretation

Identify conventional components and best practices of data visualization from a user-centered or audience perspective.

Concept E1.3

Clear design for user interpretation

Identify conventional components and best practices of data visualization from a user-centered or audience perspective.

Visualization & Communication
Concept E1.4

Graphical literacy

Comfortably read graphs with accuracy and make sense of data visualizations by answering questions about how the data is represented with precision.

Concept E1.4

Graphical literacy

Comfortably read graphs with accuracy and make sense of data visualizations by answering questions about how the data is represented with precision.

Visualization & Communication
Concept E1.5

Representational fluency

Identify how layout (ordering, scale, and axes) choices increase clarity or potentially mislead an audience.

Concept E1.5

Representational fluency

Identify how layout (ordering, scale, and axes) choices increase clarity or potentially mislead an audience.

Visualization & Communication
Concept E1.6

Parallel visual-type construction

Align the type of data (numeric, categorical, string, other) to a visualization type designed for that use-case.

Concept E1.6

Parallel visual-type construction

Align the type of data (numeric, categorical, string, other) to a visualization type designed for that use-case.

Visualization & Communication
Concept E2.1

Connect narratives & data visualizations

Understand the relationship between a data visualization and its associated narrative.

Concept E2.1

Connect narratives & data visualizations

Understand the relationship between a data visualization and its associated narrative.

Visualization & Communication
Concept E2.2

Write data stories

Structure effective stories about data when complex jargon and technical ideas are involved.

Concept E2.2

Write data stories

Structure effective stories about data when complex jargon and technical ideas are involved.

Visualization & Communication
Concept E2.3

Adapt storytelling

Tailor storytelling for different audiences.

Concept E2.3

Adapt storytelling

Tailor storytelling for different audiences.

Visualization & Communication
Concept E3.1

Intent & authorship of analyses

Regularly interrogate the point of view of a data author, and transparently share your own.

Concept E3.1

Intent & authorship of analyses

Regularly interrogate the point of view of a data author, and transparently share your own.

Visualization & Communication
Concept E3.2

Advocacy with Data Arguments

Recognize how data can provide evidence for/persuade others toward positive change and how it can benefit society.

Concept E3.2

Advocacy with Data Arguments

Recognize how data can provide evidence for/persuade others toward positive change and how it can benefit society.

Visualization & Communication
Concept E3.3

Civic data practices

Engage in civic practice and dispositions through recognition of the role data plays in civic society.

Concept E3.3

Civic data practices

Engage in civic practice and dispositions through recognition of the role data plays in civic society.

Visualization & Communication
Concept E3.4

Impacts of technology use

Appreciate how AI and other data-driven technology may affect people and resources globally.

Concept E3.4

Impacts of technology use

Appreciate how AI and other data-driven technology may affect people and resources globally.

Visualization & Communication

Concept A1.1a

Grade 11-12: Data types & forms

Advanced Classes: Data types & forms

Recognize that multiple types of data can provide valuable insights into the same inquiry.

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11-12: Data types & forms

Recognize that data can exist as quantitative, ordinal, categorical, and other values. Data also can be “nontraditional” forms such as graphical or other media.

Concept A1.2a

Grade 11-12: Data are produced by people

Advanced Classes: Data are produced by people

Explore the origins of some standardized unit measurements (e.g., horsepower, mole, scores on AP exams).

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11-12: Data are produced by people

Recognize that data represent decisions about measurement and inclusion involving people who are and are not immediately present.

Concept A1.2b

Grade 11-12: Data are produced by people

Advanced Classes: Data are produced by people

Identify the risks and tradeoffs of using traditional measurements (e.g., IQ, BMI).

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11-12: Data are produced by people

Recognize that data represent decisions about measurement and inclusion involving people who are and are not immediately present.

Concept A1.3a

Grade 11-12: Variability of data

Advanced Classes: Variability of data

Explore different types of variability for making inferences (e.g., confidence intervals, various tests, classification models).

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11-12: Variability of data

Recognize that variability is a foundational component of data.

Concept A1.4a

Grade 11-12: Data provides partial information

Advanced Classes: Data provides partial information

Design and compare alternative data representations, justifying choices to address inherent uncertainty.

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11-12: Data provides partial information

Recognize that data captures certain aspects of a model of a target phenomenon or set of objects in the world but does not represent it completely.

Concept A1.5a

Grade 11-12: Data & AI

Advanced Classes: Data & AI

Identify and label a simple prediction algorithm or equation for a very basic AI prediction model. e.g., a basic AI model’s equation looks like: Prediction = (weight₁ × input₁) + (weight₂ × input₂), such as a college admission model might weight GPA (input₁) and test scores (input₂) to output an acceptance likelihood, and training involves automatically adjusting weights to match historical data.

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11-12: Data & AI

Recognize that data “fuels” AI, that AI can be compared to a function machine (math), algorithm (CS), or a prediction model (statistics) that relies on data to both operate and improve itself, and that AI tools can also be used to analyze complex data in research.

Concept A1.5b

Grade 11-12: Data & AI

Advanced Classes: Data & AI

Understand that algorithms use cost functions to measure errors and adjust predictions.

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11-12: Data & AI

Recognize that data “fuels” AI, that AI can be compared to a function machine (math), algorithm (CS), or a prediction model (statistics) that relies on data to both operate and improve itself, and that AI tools can also be used to analyze complex data in research.

Concept A1.5c

Grade 11-12: Data & AI

Advanced Classes: Data & AI

Recognize that some AI tools can be used to explore complex data with many variables.

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11-12: Data & AI

Recognize that data “fuels” AI, that AI can be compared to a function machine (math), algorithm (CS), or a prediction model (statistics) that relies on data to both operate and improve itself, and that AI tools can also be used to analyze complex data in research.

Concept A1.5d

Grade 11-12: Data & AI

Advanced Classes: Data & AI

Recognize the types of problems that are ideal for using an AI tool to analyze complex data.

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11-12: Data & AI

Recognize that data “fuels” AI, that AI can be compared to a function machine (math), algorithm (CS), or a prediction model (statistics) that relies on data to both operate and improve itself, and that AI tools can also be used to analyze complex data in research.

Concept A2.1a

Grade 11-12: Data use risks & benefits

Advanced Classes: Data use risks & benefits

Recognize that data risk can change based on time, circumstance, and purpose.

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11-12: Data use risks & benefits

Recognize that data can pose risks but also benefits for individuals and groups, and understand its potential uses, limitations, and risks, including unintended consequences.

Concept A2.1b

Grade 11-12: Data use risks & benefits

Advanced Classes: Data use risks & benefits

Identify data benefits that can appear well into the future and in unexpected ways.

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11-12: Data use risks & benefits

Recognize that data can pose risks but also benefits for individuals and groups, and understand its potential uses, limitations, and risks, including unintended consequences.

Concept A2.2a

Grade 11-12: Biases in data

Advanced Classes: Biases in data

Propose multiple perspectives on data to mitigate inherent biases.

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11-12: Biases in data

Recognize all data contains bias but data collection and analysis methods can increase or mitigate the effects of biases.

Concept A2.2b

Grade 11-12: Biases in data

Advanced Classes: Biases in data

Understand the difference between implicit and explicit bias.

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11-12: Biases in data

Recognize all data contains bias but data collection and analysis methods can increase or mitigate the effects of biases.

Concept A2.3a

Grade 11-12: Power of data

Advanced Classes: Power of data

Use data to support arguments, design solutions, or challenge inequities.

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11-12: Power of data

Recognize data empowers discovery, decision-making, and advocacy across fields.

Concept A2.3b

Grade 11-12: Power of data

Advanced Classes: Power of data

Investigate case studies where data advanced scientific, economic, or social progress.

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11-12: Power of data

Recognize data empowers discovery, decision-making, and advocacy across fields.

Concept A2.3c

Grade 11-12: Power of data

Advanced Classes: Power of data

Identify when data alone is insufficient and complementary methods are needed. e.g., Data may quantify the number of people affected by a policy, but personal testimonies are needed to illustrate its human impact

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11-12: Power of data

Recognize data empowers discovery, decision-making, and advocacy across fields.

Concept A3.1a

Grade 11-12: The investigative process

Advanced Classes: The investigative process

Conduct independent investigations to inform decisions, leveraging advanced tools and addressing uncertainty.

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11-12: The investigative process

Recognize that making sense with data requires engaging with it in a particular way that includes combinations of the concepts and practices in the other four strands.

Concept A3.1b

Grade 11-12: The investigative process

Advanced Classes: The investigative process

Compare investigative approaches across fields to critique strengths and limitations.

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11-12: The investigative process

Recognize that making sense with data requires engaging with it in a particular way that includes combinations of the concepts and practices in the other four strands.

Concept A3.2a

Grade 11-12: Iteration

Advanced Classes: Iteration

Propose new approaches for leveraging the investigative process to strengthen inferences and arguments.

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11-12: Iteration

Recognize that the investigative process is not linear but cyclic and iterative, with many of the phases repeating and looping back.

Concept A3.3a

Grade 11-12: Dynamic inferences

Advanced Classes: Dynamic inferences

Critically evaluate and update inferences as data scales or methods advance.

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11-12: Dynamic inferences

Recognize that inferences from data are dynamic, evolving with new data and additional analysis.

Concept A3.4a

Grade 11-12: Apply context

Advanced Classes: Apply context

Interpret data drawn from different fields and topics based on accepted norms within those fields.

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11-12: Apply context

Recognize that the context surrounding the data and the investigation shapes interpretation. Many fields (biology vs. psychology; economics vs. sociology) have created very different frameworks to organize problems. Considering multiple approaches may reveal useful insights from the same data.

Concept A3.4b

Grade 11-12: Apply context

Advanced Classes: Apply context

Compare multiple problem-solving approaches, and identify how those differences may compound over time and when repeated.

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11-12: Apply context

Recognize that the context surrounding the data and the investigation shapes interpretation. Many fields (biology vs. psychology; economics vs. sociology) have created very different frameworks to organize problems. Considering multiple approaches may reveal useful insights from the same data.

Concept A3.5a

Grade 11-12: Student data agency

Advanced Classes: Student data agency

Establish accountability by basing claims and decisions on relevant data.

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11-12: Student data agency

Cultivate the motivation to engage with data in all areas of life and understand how data impacts your own experiences.

Concept A3.5b

Grade 11-12: Student data agency

Advanced Classes: Student data agency

Explore career fields and their intersection with data collection, curation, storytelling, and societal impact.

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11-12: Student data agency

Cultivate the motivation to engage with data in all areas of life and understand how data impacts your own experiences.

Concept B.1.1a

Grade 11-12: Data cleaning

Advanced Classes: Data cleaning

Develop comprehensive data validation procedures, including automated checks.

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11-12: Data cleaning

Identify and address data quality issues to ensure accuracy and reliability, progressing from simple error identification to using systematic approaches.

Concept B.1.1b

Grade 11-12: Data cleaning

Advanced Classes: Data cleaning

Implement verification protocols for complex datasets with multiple dependencies.

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11-12: Data cleaning

Identify and address data quality issues to ensure accuracy and reliability, progressing from simple error identification to using systematic approaches.

Concept B.1.2a

Grade 11-12: Organizing & structure

Advanced Classes: Organizing & structure

Develop and implement data organization systems that accommodate both structured and unstructured data types.

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11-12: Organizing & structure

Organize raw data into structured formats using categories, tables, and systematic recording methods.

Concept B.1.2b

Grade 11-12: Organizing & structure

Advanced Classes: Organizing & structure

Create scalable data organization strategies that maintain data integrity while handling missing values, irregular structures, and evolving data requirements.

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11-12: Organizing & structure

Organize raw data into structured formats using categories, tables, and systematic recording methods.

Concept B.1.2c

Grade 11-12: Organizing & structure

Advanced Classes: Organizing & structure

Design and implement metadata documentation systems to track data lineage, transformations, and organizational structures.

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11-12: Organizing & structure

Organize raw data into structured formats using categories, tables, and systematic recording methods.

Concept B.1.3a

Grade 11-12: Processing & transformation

Advanced Classes: Processing & transformation

Use an identifying variable (e.g., index, case ID) to merge two separate datasets that have the same observation, but contain different variables to merge datasets together.

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11-12: Processing & transformation

Transform and manipulate data through sorting, grouping, filtering, and combining datasets.

Concept B.1.3b

Grade 11-12: Processing & transformation

Advanced Classes: Processing & transformation

Use appropriate procedures to join two datasets together that have different observations with the same variables measured.

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11-12: Processing & transformation

Transform and manipulate data through sorting, grouping, filtering, and combining datasets.

Concept B.1.4a

Grade 11-12: Summarizing groups

Advanced Classes: Summarizing groups

Use datasets with derived variables, based on other variables in the dataset.

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11-12: Summarizing groups

Calculate and analyze group-level statistics from detailed data to reveal patterns and relationships.

Concept B.2.1a

Grade 11-12: Designing data-based investigations

Advanced Classes: Designing data-based investigations

Construct data-based questions that address complex systems with multiple interacting variables, including consideration of confounding factors and effect modifiers.

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11-12: Designing data-based investigations

Identify problems and formulate questions that guide meaningful data collection and analysis.

Concept B.2.1b

Grade 11-12: Designing data-based investigations

Advanced Classes: Designing data-based investigations

Design research questions that incorporate multiple levels of analysis and account for both direct and indirect relationships between variables.

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11-12: Designing data-based investigations

Identify problems and formulate questions that guide meaningful data collection and analysis.

Concept B.2.1c

Grade 11-12: Designing data-based investigations

Advanced Classes: Designing data-based investigations

Formulate questions that address the validity and reliability of data collection methods, including considerations of systematic bias and measurement error.

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11-12: Designing data-based investigations

Identify problems and formulate questions that guide meaningful data collection and analysis.

Concept B.2.2a

Grade 11-12: Data creation techniques & methods

Advanced Classes: Data creation techniques & methods

Design simulations (e.g., using an RNG or computer software) and underlying models to generate data specific to a problem of interest.

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11-12: Data creation techniques & methods

Explore various ways to generate data through simulations, sensors, and automated collection methods.

Concept B.2.2b

Grade 11-12: Data creation techniques & methods

Advanced Classes: Data creation techniques & methods

Identify optimal sensors or automated data collection methods for answering a data-based question or designing an experiment.

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11-12: Data creation techniques & methods

Explore various ways to generate data through simulations, sensors, and automated collection methods.

Concept B.2.2c

Grade 11-12: Data creation techniques & methods

Advanced Classes: Data creation techniques & methods

Distinguish between surveys, observational studies, and experiments.

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11-12: Data creation techniques & methods

Explore various ways to generate data through simulations, sensors, and automated collection methods.

Concept B.2.3a

Grade 11-12: Creating data collection plans

Advanced Classes: Creating data collection plans

Recognized how concerns about data privacy and human subjects may affect the collection and distribution of data.

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11-12: Creating data collection plans

Develop systematic plans that specify what data to collect, how to collect it, and from what sources to answer investigation questions.

Concept B.2.4a

Grade 11-12: Finding secondary data

Advanced Classes: Finding secondary data

Identify (and know you can request access to) non-publicly available datasets by contacting researchers, reading scientific literature, or communicating with public officials.

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11-12: Finding secondary data

Explore, locate, evaluate, and retrieve datasets collected by others to address research questions and data investigations.

Concept B.2.4b

Grade 11-12: Finding secondary data

Advanced Classes: Finding secondary data

Develop strategies for finding and accessing datasets that require special permissions, logins, or formal data requests.

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11-12: Finding secondary data

Explore, locate, evaluate, and retrieve datasets collected by others to address research questions and data investigations.

Concept B.2.4c

Grade 11-12: Finding secondary data

Advanced Classes: Finding secondary data

Evaluate and navigate licensing and citation requirements when using secondary data sources for research.

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11-12: Finding secondary data

Explore, locate, evaluate, and retrieve datasets collected by others to address research questions and data investigations.

Concept B.2.4d

Grade 11-12: Finding secondary data

Advanced Classes: Finding secondary data

Combine multiple secondary datasets to create more comprehensive or useful data for specific investigations.

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11-12: Finding secondary data

Explore, locate, evaluate, and retrieve datasets collected by others to address research questions and data investigations.

Concept B.3.1a

Grade 11-12: Creating your own data

Advanced Classes: Creating your own data

Evaluate and critique measurement validity, reliability, and bias in data collection methods, and design comprehensive datafication strategies that address ethical considerations and potential sources of measurement error.

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11-12: Creating your own data

Collect, measure, and document data accurately using appropriate tools and methods.

Concept B.3.2a

Grade 11-12: Working with data created by others

Advanced Classes: Working with data created by others

Work with data collected over time and consider how to aggregate appropriately.

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11-12: Working with data created by others

Evaluate and interpret others' datasets by examining collection methods, context, and quality.

Concept B.3.2b

Grade 11-12: Working with data created by others

Advanced Classes: Working with data created by others

Work with data collected over space and consider how to aggregate appropriately.

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11-12: Working with data created by others

Evaluate and interpret others' datasets by examining collection methods, context, and quality.

Concept B.3.2c

Grade 11-12: Working with data created by others

Advanced Classes: Working with data created by others

Create strategies for dealing with data that is constantly updated.

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11-12: Working with data created by others

Evaluate and interpret others' datasets by examining collection methods, context, and quality.

Concept B.3.3a

Grade 11-12: Ethics of data collection & usage

Advanced Classes: Ethics of data collection & usage

Develop data collection protocols that prevent bias, protect privacy, and ensure ethical representation across diverse populations.

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11-12: Ethics of data collection & usage

Collect and use data ethically, considering privacy, fairness, and potential impacts.

Concept B.3.3b

Grade 11-12: Ethics of data collection & usage

Advanced Classes: Ethics of data collection & usage

Apply validation techniques to prevent bias and ensure ethical use of secondary data, including AI tools.

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11-12: Ethics of data collection & usage

Collect and use data ethically, considering privacy, fairness, and potential impacts.

Concept B.4.1a

Grade 11-12: Cleanliness

Advanced Classes: Cleanliness

Apply advanced data cleaning techniques to handle complex data quality issues such as outliers, inconsistencies, and systematic errors.

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11-12: Cleanliness

Work with datasets at increasing levels of cleanliness and identify how datasets need to be curated to address messiness issues.

Concept B.4.1b

Grade 11-12: Cleanliness

Advanced Classes: Cleanliness

Develop and document reproducible data cleaning workflows that maintain data integrity.

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11-12: Cleanliness

Work with datasets at increasing levels of cleanliness and identify how datasets need to be curated to address messiness issues.

Concept B.4.1c

Grade 11-12: Cleanliness

Advanced Classes: Cleanliness

Evaluate and validate cleaned datasets using statistical methods and domain knowledge.

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11-12: Cleanliness

Work with datasets at increasing levels of cleanliness and identify how datasets need to be curated to address messiness issues.

Concept B.4.2a

Grade 11-12: Complexity of variables

Advanced Classes: Complexity of variables

Create and use expected value models to support data-based decision making.

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11-12: Complexity of variables

Explore datasets containing various types of data and understand how each type serves different analytical purposes.

Concept B.4.2b

Grade 11-12: Complexity of variables

Advanced Classes: Complexity of variables

Work with multiple datasets that combine multiple types of data and combine and transform the different types.

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11-12: Complexity of variables

Explore datasets containing various types of data and understand how each type serves different analytical purposes.

Concept B.4.2c

Grade 11-12: Complexity of variables

Advanced Classes: Complexity of variables

Work with complex derived variables and understand their calculation methods.

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11-12: Complexity of variables

Explore datasets containing various types of data and understand how each type serves different analytical purposes.

Concept B.4.3a

Grade 11-12: Size

Advanced Classes: Size

Work with very large datasets multiple thousands of observations.

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11-12: Size

Work with datasets of increasing size in both number of observations and variables and arrange data in increasingly complex formats to facilitate meaningful analysis.

Concept B.4.3b

Grade 11-12: Size

Advanced Classes: Size

Use selection, sampling, and transformation tools to navigate very large datasets.

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11-12: Size

Work with datasets of increasing size in both number of observations and variables and arrange data in increasingly complex formats to facilitate meaningful analysis.

Concept B.4.4a

Grade 11-12: Complexity of structure

Advanced Classes: Complexity of structure

Design and implement data structures that can accommodate longitudinal data and multiple levels of aggregation.

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11-12: Complexity of structure

Manipulate and combine data in increasingly complex ways to reveal new insights and patterns.

Concept B.4.4b

Grade 11-12: Complexity of structure

Advanced Classes: Complexity of structure

Handle data aggregation across different observation structures and time scales.

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11-12: Complexity of structure

Manipulate and combine data in increasingly complex ways to reveal new insights and patterns.

Concept B.4.4c

Grade 11-12: Complexity of structure

Advanced Classes: Complexity of structure

Create flexible organizational systems that can handle both structured and unstructured data sources.

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11-12: Complexity of structure

Manipulate and combine data in increasingly complex ways to reveal new insights and patterns.

Concept B.4.4d

Grade 11-12: Complexity of structure

Advanced Classes: Complexity of structure

Develop documentation systems for complex data structures that track relationships and dependencies between variables.

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11-12: Complexity of structure

Manipulate and combine data in increasingly complex ways to reveal new insights and patterns.

Concept C1.1a

Grade 11-12: Measures of center

Advanced Classes: Measures of center

Explore the sensitivity of the mean to outliers compared to the median.

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11-12: Measures of center

Analyze large datasets by measuring their central tendency while considering the context and distribution of the data.

Concept C1.1b

Grade 11-12: Measures of center

Advanced Classes: Measures of center

Discuss instances when to use the mean or median based on the context and data distribution (e.g., skewed vs. symmetric distribution).

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11-12: Measures of center

Analyze large datasets by measuring their central tendency while considering the context and distribution of the data.

Concept C1.2a

Grade 11-12: Measures of spread

Advanced Classes: Measures of spread

Numerically operationalize the meaning of an "outlier" using standard deviation as a measure of variability and a modified boxplot.

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11-12: Measures of spread

Examine dataset variability by applying measures of spread to identify and quantify outliers.

Concept C1.3a

Grade 11-12: Shape

Advanced Classes: Shape

Explain how the shape of a distribution influences the relationship between measures of center. e.g., in symmetric distributions - the mean and median are close, in a right-skewed distribution - the mean is greater than the median, in a left-skewed distribution - the mean is less than the median

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11-12: Shape

Identify the distribution of data points, including clusters, gaps, symmetry, skewness, and modes. Use these patterns to understand data spread and their impact on measures like the mean and median.

Concept C1.4a

Grade 11-12: Frequency tables

Advanced Classes: Frequency tables

Discuss implications of choices made when generating a frequency table.

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11-12: Frequency tables

Organize data into frequency tables based on shared characteristics. Summarize data using counts, fractions, relative frequencies, or proportions to enable comparisons and generalizations. Understand the implications of choices made when creating and interpreting frequency tables.

Concept C1.5a

Grade 11-12: Missingness

Advanced Classes: Missingness

Describe how missing data affects analysis and resulting relationships, patterns, or models.

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11-12: Missingness

Identify and describe missing data numerically and categorically. Distinguish between missing values and true zeros. Understand how missing data impacts relationships, patterns, and models in data interpretation.

Concept C1.6a

Grade 11-12: Metadata

Advanced Classes: Metadata

Reasonably ideate on some potential modeling approaches when given the metadata (e.g., data and time, text, continuous, geolocation) for a dataset.

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11-12: Metadata

Recognize metadata as information about data, including its source, type, and structure. Use metadata to organize, summarize, and analyze data effectively, supporting interpretation and decision-making.

Concept C2.1a

Grade 11-12: Comparing variables

Advanced Classes: Comparing variables

Use simulations to investigate associations between two categorical variables and to compare groups.

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11-12: Comparing variables

Identify similarities and differences between variables and explore potential associations. Use distributions, numerical summaries, and simulations to compare groups based on numerical or categorical data.

Concept C2.2a

Grade 11-12: Understanding distributions

Advanced Classes: Understanding distributions

Use variability in distributions to engage in statistical reasoning.

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11-12: Understanding distributions

Represent data visually and numerically to describe how outcomes occur and compare groups. Use variability to interpret distribution shape, support statistical reasoning, and assess population estimates.

Concept C2.2b

Grade 11-12: Understanding distributions

Advanced Classes: Understanding distributions

Understand and interpret variability in sampling distributions and how it impacts population estimates.

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11-12: Understanding distributions

Represent data visually and numerically to describe how outcomes occur and compare groups. Use variability to interpret distribution shape, support statistical reasoning, and assess population estimates.

Concept C2.3a

Grade 11-12: Defining relationships

Advanced Classes: Defining relationships

Conduct linear regression analysis to find the best-fit.

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11-12: Defining relationships

Organize, visualize, and analyze data to identify patterns, trends, and associations. Use statistical measures and graphs to interpret relationships and make predictions.

Concept C2.3b

Grade 11-12: Defining relationships

Advanced Classes: Defining relationships

Construct prediction intervals and confidence intervals to determine plausible values of a predicted observation or a population characteristic.

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11-12: Defining relationships

Organize, visualize, and analyze data to identify patterns, trends, and associations. Use statistical measures and graphs to interpret relationships and make predictions.

Concept C2.4a

Grade 11-12: Analyzing non-traditional data

Advanced Classes: Analyzing non-traditional data

Generate a word cloud of a given text after standardizing (e.g., all lower case), stemming, and removing stop words.

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11-12: Analyzing non-traditional data

Examine data beyond numbers, including sounds, textures, and text. Categorize sensory inputs, track word frequencies, and analyze data from sensors and IoT devices to identify patterns and trends.

Concept C2.5a

Grade 11-12: Machine learning

Advanced Classes: Machine learning

Explore how gradient descent optimizes loss functions and powers machine learning applications like neural networks.

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11-12: Machine learning

Use data to build decision trees, explore classification and clustering, and understand how machine learning optimizes predictions through algorithms like gradient descent.

Concept C3.1a

Grade 11-12: Describing variability

Advanced Classes: Describing variability

Apply statistical or simulation methods to model variability to explore uncertainty in real-world situations.

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11-12: Describing variability

Identify differences within data by sorting, grouping, and organizing characteristics. Use statistical and simulation methods to represent and analyze variability, connecting it to real-world uncertainty and probabilistic processes.

Concept C3.2a

Grade 11-12: Comparing variability

Advanced Classes: Comparing variability

Explore variability through statistical methods, such as analyzing residuals or variance in linear models.

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11-12: Comparing variability

Examine differences between groups by analyzing measures of spread, such as range and standard deviation. Utilize visualizations like box plots and apply statistical methods, including mean, median, and standard deviation, to compare datasets, assess variability, and uncover patterns in data distributions and models.

Concept C3.3a

Grade 11-12: Understanding sources of variability

Advanced Classes: Understanding sources of variability

Estimate and describe errors between predictions and actual outcomes. e.g., residuals, misclassification rates

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11-12: Understanding sources of variability

Recognize measurement errors and natural variability in data. Assess data quality, identify outliers, and refine models using statistical and contextual analysis.

Concept C3.3b

Grade 11-12: Understanding sources of variability

Advanced Classes: Understanding sources of variability

Analyze error patterns to assess model performance. e.g., residual plot, confusion matrix

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11-12: Understanding sources of variability

Recognize measurement errors and natural variability in data. Assess data quality, identify outliers, and refine models using statistical and contextual analysis.

Concept C3.3c

Grade 11-12: Understanding sources of variability

Advanced Classes: Understanding sources of variability

Use insights from error analysis to improve the model. e.g., in linear regression, add a variable or use a curve; in classification, balance the groups or adjust the cutoff

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11-12: Understanding sources of variability

Recognize measurement errors and natural variability in data. Assess data quality, identify outliers, and refine models using statistical and contextual analysis.

Concept C3.4a

Grade 11-12: Variability in our computational world

Advanced Classes: Variability in our computational world

Appreciate that many AI tools are pre-trained with large quantities of data so that inferences can be drawn on smaller sample sizes.

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11-12: Variability in our computational world

Explore how AI model outputs vary based on training data, labeling, and bias. Understand how generative AI and pre-trained models use large datasets to make inferences and how variability in data impacts outcomes.

Concept C4.1a

Grade 11-12: Tool application

Advanced Classes: Tool application

Create models to perform simulations using a digital tool.

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11-12: Tool application

Use digital tools to summarize data and create visualizations. Apply these tools to identify patterns, clean and prepare data, perform analysis, and build models for simulations to explore relationships and trends.

Concept C4.1b

Grade 11-12: Tool application

Advanced Classes: Tool application

Perform data analysis using a digital tool.

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11-12: Tool application

Use digital tools to summarize data and create visualizations. Apply these tools to identify patterns, clean and prepare data, perform analysis, and build models for simulations to explore relationships and trends.

Concept C4.2a

Grade 11-12: Tool ethics

Advanced Classes: Tool ethics

Critique the societal effect of AI by exploring issues surrounding bias, accountability, and transparency in decision-making using AI tools, as well as the effects on privacy, jobs, and policy.

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11-12: Tool ethics

Examine how digital tools influence access, privacy, and bias, shaping opportunities and challenges in technology use. Consider the broader ethical and societal impacts of AI, including its role in decision-making, accountability, and policy.

Concept C4.3a

Grade 11-12: Tool evaluation

Advanced Classes: Tool evaluation

Identify differences between a no-code, low-code, or high-code digital tool.

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11-12: Tool evaluation

Assess the technical limitations of digital tools and compare no-code, low-code, and high-code solutions based on their capabilities and use cases.

Concept C4.4a

Grade 11-12: Tool selection

Advanced Classes: Tool selection

Select multiple digital tools suited for different tasks throughout the data investigation process.

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11-12: Tool selection

Choose the appropriate no-code, low-code, or high-code digital tool based on the task. Use multiple tools throughout the data investigation process and explore how digital tools are applied in the workforce.

Concept C4.4b

Grade 11-12: Tool selection

Advanced Classes: Tool selection

Describe how digital tools are used in the workforce.

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11-12: Tool selection

Choose the appropriate no-code, low-code, or high-code digital tool based on the task. Use multiple tools throughout the data investigation process and explore how digital tools are applied in the workforce.

Concept C4.5a

Grade 11-12: The role of code in data analysis

Advanced Classes: The role of code in data analysis

Recognize how computer code can be used to produce reproducible data analysis processes.

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11-12: The role of code in data analysis

Explore how block coding and computer code automate and enhance data analysis. Understand how coding enables reproducible processes and compare its advantages and limitations to no-code and low-code tools.

Concept C4.5b

Grade 11-12: The role of code in data analysis

Advanced Classes: The role of code in data analysis

Recognize the advantages and limitations of using computer code compared to no-code or low-code tools.

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11-12: The role of code in data analysis

Explore how block coding and computer code automate and enhance data analysis. Understand how coding enables reproducible processes and compare its advantages and limitations to no-code and low-code tools.

Concept C4.6a

Grade 11-12: Tool accessibility for diverse learners

Advanced Classes: Tool accessibility for diverse learners

Design data visualizations that include accessible features such alt-text and text descriptions.

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11-12: Tool accessibility for diverse learners

Understand how digital tools can support a broad range of diverse learners. Evaluate their effectiveness and impact, and explore inclusive data representations.

Concept C4.6b

Grade 11-12: Tool accessibility for diverse learners

Advanced Classes: Tool accessibility for diverse learners

Examine how policies, limitations, and technological advancements impact the development of accessible digital tools.

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11-12: Tool accessibility for diverse learners

Understand how digital tools can support a broad range of diverse learners. Evaluate their effectiveness and impact, and explore inclusive data representations.

Concept C5.1a

Grade 11-12: Understanding modeling

Advanced Classes: Understanding modeling

Discern that different models, such as decision trees and neural networks, analyze patterns and relationships in data to make predictions.

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11-12: Understanding modeling

Analyze patterns and relationships in data using graphs, tables, and models. Explore tools like decision trees and neural networks, assess assumptions, and distinguish correlation from causation in real-world contexts.

Concept C5.1b

Grade 11-12: Understanding modeling

Advanced Classes: Understanding modeling

Assess relationships in the context of uncertainty, bias, and reliability of the data.

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11-12: Understanding modeling

Analyze patterns and relationships in data using graphs, tables, and models. Explore tools like decision trees and neural networks, assess assumptions, and distinguish correlation from causation in real-world contexts.

Concept C5.1c

Grade 11-12: Understanding modeling

Advanced Classes: Understanding modeling

Investigate how assumptions and bias influence a model's results.

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11-12: Understanding modeling

Analyze patterns and relationships in data using graphs, tables, and models. Explore tools like decision trees and neural networks, assess assumptions, and distinguish correlation from causation in real-world contexts.

Concept C5.2a

Grade 11-12: Creating models

Advanced Classes: Creating models

Develop models that incorporate multiple variables and explicitly consider interactions between them.

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11-12: Creating models

Develop an understanding of patterns and relationships. Use data and technology to build and refine models. Advance these skills by constructing complex models that incorporate multiple variables, assess assumptions, and improve predictions.

Concept C5.2b

Grade 11-12: Creating models

Advanced Classes: Creating models

Use computational methods, coding, or machine learning techniques to build and refine models.

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11-12: Creating models

Develop an understanding of patterns and relationships. Use data and technology to build and refine models. Advance these skills by constructing complex models that incorporate multiple variables, assess assumptions, and improve predictions.

Concept C5.2c

Grade 11-12: Creating models

Advanced Classes: Creating models

Assess assumptions, limitations, and biases in models to evaluate their impact on predictions in real-world scenarios.

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11-12: Creating models

Develop an understanding of patterns and relationships. Use data and technology to build and refine models. Advance these skills by constructing complex models that incorporate multiple variables, assess assumptions, and improve predictions.

Concept D1.1a

Grade 11-12: Probablistic language

Advanced Classes: Probablistic language

Clearly state the result or finding and indicate the level of certainty regarding the statistical analysis and the quality of the evidence (e.g., dataset or source characteristics, similar findings in alternative data) as justification.

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11-12: Probablistic language

When communicating with others, employ both plain-language and clear vocabulary to regularly describe degrees of uncertainty, both formally and informally as a thinking habit.

Concept D1.2a

Grade 11-12: Priors & updates

Advanced Classes: Priors & updates

Summarize previous assumptions and potential updates in written conclusions from a data analysis, and identify any known contradictory findings to mitigate confirmation bias (psychology).

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11-12: Priors & updates

When encountering new data, integrate probabilistic thinking into everyday situations by explicating prior assumptions and the impact of new data / evidence on those assumptions.

Concept D1.2b

Grade 11-12: Priors & updates

Advanced Classes: Priors & updates

Describe Bayes Theorem by explaining how it relates to conditional probability, which includes the probability of an event occurring, the probability of that event given the evidence is true, and the probability that the evidence itself is true.

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11-12: Priors & updates

When encountering new data, integrate probabilistic thinking into everyday situations by explicating prior assumptions and the impact of new data / evidence on those assumptions.

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