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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 E3.4a

Grade 9-10: Impacts of technology use

Advanced Classes: Impacts of technology use

Recognize the environmental cost of running large data centers and AI/ML models while considering the costs versus benefits of nuclear power and evaluating solar and wind options for clean energy.

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9-10: Impacts of technology use

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

Concept E3.4b

Grade 9-10: Impacts of technology use

Advanced Classes: Impacts of technology use

Evaluate an impactful data story and its societal implications. e.g., historical heart disease research impacts for men and women

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9-10: Impacts of technology use

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

Concept D1.1a

Grade Advanced: Probablistic language

Advanced Classes: Probablistic language

Clearly state a result or finding, along with the degree of certainty, using two or more advanced statistical methods (e.g., probability distributions, t-tests, z-tests, or bootstrapping/simulation), while justifying the conclusions with evidence (e.g., dataset or source characteristics, similar findings in alternative data) quality indicators like dataset characteristics, source reliability, and corroborating findings from alternative data.

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Advanced: 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 Advanced: Priors & updates

Advanced Classes: Priors & updates

Apply Bayes Theorem to an example result in an academic research finding or discussion.

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Advanced: 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 Advanced: Priors & updates

Advanced Classes: Priors & updates

Explain Bayes Theorem in formal conditional probability statements: P(A|B) = (P(A) * P(B|A)) / P(B), where A is the event in question and B is the event of new evidence related to A.

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Advanced: 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 D1.4a

Grade Advanced: Explaning significance

Advanced Classes: Explaning significance

Describe a p-value to without using the language of the "null hypothesis" or "alternative hypothesis."

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Advanced: 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 D1.4b

Grade Advanced: Explaning significance

Advanced Classes: Explaning significance

Identify examples of p-value misuse in the media or academic research.

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Advanced: 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 D1.5a

Grade Advanced: Sampling & simulation

Advanced Classes: Sampling & simulation

Describe the relationship between the margin of error, confidence intervals, and standard deviation, in both words and in their formal mathematical definitions.

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Advanced: 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 D1.5b

Grade Advanced: Sampling & simulation

Advanced Classes: Sampling & simulation

Execute and correctly interpret the margin of error, confidence interval, and standard deviation in a data analysis software for a given summary statistic.

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Advanced: 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 D1.6a

Grade Advanced: Correlation versus causation

Advanced Classes: Correlation versus causation

Explain why a chosen analysis method effectively isolates an effect.

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Advanced: Correlation versus causation

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

Concept D1.6b

Grade Advanced: Correlation versus causation

Advanced Classes: Correlation versus causation

Justify a causal relationship in a multivariable dataset with real-world data, including additional datasets gathered from outside sources and connect the analysis to existing research literature.

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Advanced: Correlation versus causation

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

Concept D1.7a

Grade Advanced: Randomization

Advanced Classes: Randomization

Implement randomization using a random seed in a simulation technique using a computer-based analysis tool to compare sampling techniques (e.g., sampling with replacement or without replacement).

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Advanced: Randomization

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

Concept D1.8a

Grade Advanced: Multi-variable decision-making

Advanced Classes: Multi-variable decision-making

Analyze and interpret the regression coefficients to understand the effect of the categories on the model.

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Advanced: 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 D1.8b

Grade Advanced: Multi-variable decision-making

Advanced Classes: Multi-variable decision-making

Create an “ideal” multi-variable model for real-world data in a computer-based software that explains as much variance as possible, without overfitting a model. Justify how you have found the “ideal” model by comparing R^2, covariance, and the number of variables chosen in relation to their real-world context.

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Advanced: 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 D1.8c

Grade Advanced: Multi-variable decision-making

Advanced Classes: Multi-variable decision-making

Use computer software to incorporate categorical variables into a linear regression model.

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Advanced: 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 D2.2a

Grade Advanced: Iteration, validation, & multiple explanations

Advanced Classes: Iteration, validation, & multiple explanations

Document analysis steps and errors while implementing validation checks in the software for data wrangling.

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Advanced: Iteration, validation, & multiple explanations

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

Concept D2.2b

Grade Advanced: Iteration, validation, & multiple explanations

Advanced Classes: Iteration, validation, & multiple explanations

Execute an alternative analysis plan to validate a significantly different result from the initial method.

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Advanced: Iteration, validation, & multiple explanations

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

Concept D3.2a

Grade Advanced: Sample versus population

Advanced Classes: Sample versus population

Identify machine learning methods such as supervised, unsupervised, and reinforcement learning, and discuss the pros and cons of each when data on the entire population or a very detailed sample with many variables is available.

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Advanced: Sample versus population

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

Concept D3.3a

Grade Advanced: Sample size

Advanced Classes: Sample size

Make a formal Power Analysis by identifying a sufficient sample size for a real-world data exploration. Students should mathematically isolate “n” in a t-test or z-test, and estimate Power with a software tool.

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Advanced: 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 D3.4a

Grade Advanced: Sample bias

Advanced Classes: Sample bias

Estimate bias by interpreting and applying the formula for a biased estimator.

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Advanced: 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 E1.1a

Grade Advanced: Sense-making with visualizations

Advanced Classes: Sense-making with visualizations

Demonstrate presentation skills to fully communicate depth and breadth of a visualization to an audience.

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Advanced: 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 E1.1b

Grade Advanced: Sense-making with visualizations

Advanced Classes: Sense-making with visualizations

Present both 1) basic visual summaries of the data2) additional visualizations that “go deeper” into the story the data is telling, and relationships discovered within the data visualizatione.g., new relationships within subsets, significant outliers, complex or overlapping control variables

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Advanced: 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 E1.3a

Grade Advanced: Clear design for user interpretation

Advanced Classes: Clear design for user interpretation

Apply design principles such as balance, emphasis, and simplicity to make visualizations clear and engaging.

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Advanced: Clear design for user interpretation

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

Concept E1.3b

Grade Advanced: Clear design for user interpretation

Advanced Classes: Clear design for user interpretation

Understanding the basics of interactive visualizations (e.g., tooltips, zooming) and their advantages in data exploration.

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Advanced: Clear design for user interpretation

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

Concept E1.4a

Grade Advanced: Graphical literacy

Advanced Classes: Graphical literacy

Describe the potential relationships (or lack thereof) represented in scatterplots (including linear, exponential, logarithmic, polynomial, and piecewise) and debate which function is the best representation for the shape and context.

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Advanced: 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 E1.4b

Grade Advanced: Graphical literacy

Advanced Classes: Graphical literacy

Visualize confidence intervals or margins of error using error bars with computer-based software.

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Advanced: 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 E1.4c

Grade Advanced: Graphical literacy

Advanced Classes: Graphical literacy

Visualize margins of error of a continuous variable using error bands with a computer-based software.

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Advanced: 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 E1.5a

Grade Advanced: Representational fluency

Advanced Classes: Representational fluency

Compare and/or contrast 2D and 3D bar graphs and pie charges and identify how unnecessary use of three dimensions obfuscates the relative frequencies and/or proportions of the data.

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Advanced: Representational fluency

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

Concept E1.5b

Grade Advanced: Representational fluency

Advanced Classes: Representational fluency

Compare and/or contrast varying bin sizes to demonstrate how different degrees of granularity in a histogram or other visualization type can lead to different interpretations.

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Advanced: Representational fluency

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

Concept E2.2a

Grade Advanced: Write data stories

Advanced Classes: Write data stories

Use complex visualizations like multivariable graphs, scatter plots, heat maps, or interactive dashboards to present data clearly. Then, develop a research paper or presentation to explain the background, methodology, and context of the data, using visualizations to provide evidence of their findings and conclusions.

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Advanced: Write data stories

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

Concept E3.3a

Grade Advanced: Civic data practices

Advanced Classes: Civic data practices

Pick a local issue of student interest and draft a Letter to the Editor (LTE) to a local news outlet or to a local politician based on conclusions from public-access datasets.

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Advanced: Civic data practices

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

Concept A1.1a

Grade K-2: Data types & forms

Advanced Classes: Data types & forms

Utilize both categorical and numeric data.

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K-2: 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 A1.1b

Grade K-2: Data types & forms

Advanced Classes: Data types & forms

Recognize that data can be derived from many different forms of sources (e.g., photographs, written text, audio recordings, videos, people, and other non-traditional places).

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K-2: 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 A1.1c

Grade K-2: Data types & forms

Advanced Classes: Data types & forms

Understand that data can be used to ask and answer questions.

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K-2: 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 K-2: Data are produced by people

Advanced Classes: Data are produced by people

Recognize the importance of asking questions about how data were collected.

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K-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 A1.3a

Grade K-2: Variability of data

Advanced Classes: Variability of data

Observe that data can have many different answers or results.

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K-2: Variability of data

Recognize that variability is a foundational component of data.

Concept A1.4a

Grade K-2: Data provides partial information

Advanced Classes: Data provides partial information

Understand that data can show some things but not others. e.g., categorizing the colors worn in a kindergarten class does not indicate the clothing item or size

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K-2: 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 K-2: Data & AI

Advanced Classes: Data & AI

Recognize that computing tools (e.g., computers, smartphones, IoT buttons, sensors) and AI need data from human inputs (e.g., a function machine: if x input, then y action) to perform actions. e.g., smart thermostat turns on heat when the temperature sensor detects the room temperature is colder than the temperature a human programmed, such as 68°F

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K-2: 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 K-2: Data & AI

Advanced Classes: Data & AI

Understand that AI tools use data from people to do tasks. e.g., chatbots learn from typed questions

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K-2: 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 K-2: Data use risks & benefits

Advanced Classes: Data use risks & benefits

Recognize how data can be useful in understanding the world around us. e.g., counting rainy days to plan outdoor activities

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K-2: 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 K-2: Data use risks & benefits

Advanced Classes: Data use risks & benefits

Understand that some data about people should not be collected or shared with technology.

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K-2: 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 K-2: Biases in data

Advanced Classes: Biases in data

Recognize how data are affected by decisions made around data design, collection, and interpretation.

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K-2: Biases in data

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

Concept A2.3a

Grade K-2: Power of data

Advanced Classes: Power of data

Use data to answer questions and see how it improves guesses.

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K-2: Power of data

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

Concept A3.1a

Grade K-2: The investigative process

Advanced Classes: The investigative process

Recognize there is an investigative process for exploring questions about the world.

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K-2: 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 K-2: Iteration

Advanced Classes: Iteration

Utilize different views such as pictures, tallies, or charts to help answer questions and notice patterns.

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K-2: Iteration

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

Concept A3.3a

Grade K-2: Dynamic inferences

Advanced Classes: Dynamic inferences

Utilize a single set of data to generate multiple inferences for various inquiries.

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K-2: Dynamic inferences

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

Concept A3.4a

Grade K-2: Apply context

Advanced Classes: Apply context

Share data and interpretations with others.

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K-2: 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 K-2: Student data agency

Advanced Classes: Student data agency

Develop curiosity about data and how it can be used in the world.

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K-2: 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 K-2: Student data agency

Advanced Classes: Student data agency

Exhibit the capacity to work with open-ended problems.

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K-2: 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 K-2: Data cleaning

Advanced Classes: Data cleaning

Recognize and explain any missing data (e.g., a student was absent when data was collected) or data recording errors (e.g., "10" recorded as a "1").

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K-2: 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 K-2: Data cleaning

Advanced Classes: Data cleaning

Record responses so that you can tell if everyone has been asked.

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K-2: 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 K-2: Organizing & structure

Advanced Classes: Organizing & structure

Collect and record data on case cards, wherein each card represents a single observation.

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K-2: Organizing & structure

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

Concept B.1.2b

Grade K-2: Organizing & structure

Advanced Classes: Organizing & structure

Create categories from individual categorical responses (e.g., scary things).

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K-2: Organizing & structure

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

Concept B.1.2c

Grade K-2: Organizing & structure

Advanced Classes: Organizing & structure

Define the categories used to measure the qualities of an object (e.g., color, shape).

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K-2: Organizing & structure

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

Concept B.1.3a

Grade K-2: Processing & transformation

Advanced Classes: Processing & transformation

Sort case cards so that observations with similar values for a variable are grouped together.

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K-2: Processing & transformation

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

Concept B.1.3b

Grade K-2: Processing & transformation

Advanced Classes: Processing & transformation

Order case cards so that a numerical variable is ordered from smallest to largest or largest to smallest.

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K-2: Processing & transformation

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

Concept B.1.4a

Grade K-2: Summarizing groups

Advanced Classes: Summarizing groups

Count the number of items in different groups when data is organized into simple categories (e.g., counting how many students chose each favorite color).

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K-2: Summarizing groups

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

Concept B.2.1a

Grade K-2: Designing data-based investigations

Advanced Classes: Designing data-based investigations

Formulate simple questions that guide data collection and analysis about familiar contexts, using appropriate support.

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K-2: Designing data-based investigations

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

Concept B.2.2a

Grade K-2: Data creation techniques & methods

Advanced Classes: Data creation techniques & methods

Recognize that simulations and models can act as sources of data.

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K-2: Data creation techniques & methods

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

Concept B.2.3a

Grade K-2: Creating data collection plans

Advanced Classes: Creating data collection plans

Recognize the relative value and tradeoffs of data collection tools including sensors, surveys, etc.

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K-2: 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 K-2: Finding secondary data

Advanced Classes: Finding secondary data

Recognize that data can be found in various sources such as books, websites, and classroom resources to help answer questions.

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K-2: Finding secondary data

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

Concept B.2.4b

Grade K-2: Finding secondary data

Advanced Classes: Finding secondary data

Explore simple, age-appropriate data sources provided by teachers or educational websites that show information about familiar topics.

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K-2: Finding secondary data

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

Concept B.3.1a

Grade K-2: Creating your own data

Advanced Classes: Creating your own data

Anticipate variability in measurement.

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K-2: Creating your own data

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

Concept B.3.1b

Grade K-2: Creating your own data

Advanced Classes: Creating your own data

Use either standard (e.g., inches, feet, miles) or nonstandard (e.g., paperclips, shoes) units to determine a physical quantity (e.g., width of a table) and understand the importance of standard units for consistency.

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K-2: Creating your own data

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

Concept B.3.1c

Grade K-2: Creating your own data

Advanced Classes: Creating your own data

Begin to coordinate multiple variables of the same observation (e.g., measure more than one variable of an object or event).

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K-2: Creating your own data

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

Concept B.3.2a

Grade K-2: Working with data created by others

Advanced Classes: Working with data created by others

Understand how other people measured their data.

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K-2: Working with data created by others

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

Concept B.3.3a

Grade K-2: Ethics of data collection & usage

Advanced Classes: Ethics of data collection & usage

Understand that collecting data about people requires their permission. e.g., asking before writing down a classmates favorite color

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K-2: Ethics of data collection & usage

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

Concept B.3.3b

Grade K-2: Ethics of data collection & usage

Advanced Classes: Ethics of data collection & usage

Ask permission before sharing others’ information.

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K-2: Ethics of data collection & usage

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

Concept B.4.1a

Grade K-2: Cleanliness

Advanced Classes: Cleanliness

Work with datasets that are relatively clean (e.g., don't have missing data or errors).

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K-2: 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 K-2: Complexity of variables

Advanced Classes: Complexity of variables

Use datasets that include only numerical or only categorical variables.

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K-2: Complexity of variables

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

Concept B.4.3a

Grade K-2: Size

Advanced Classes: Size

Work with datasets with 1 - 2 variables and 10 - 30 observations (e.g., size of a class).

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K-2: 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 K-2: Complexity of structure

Advanced Classes: Complexity of structure

Work with datasets already formatted into structure necessary for analysis.

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K-2: Complexity of structure

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

Concept B.4.4b

Grade K-2: Complexity of structure

Advanced Classes: Complexity of structure

Create new categories from existing data through basic grouping rules.

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K-2: Complexity of structure

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

Concept C1.1a

Grade K-2: Measures of center

Advanced Classes: Measures of center

Recognize that categorical data does not have a measure of center.

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K-2: Measures of center

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

Concept C1.1b

Grade K-2: Measures of center

Advanced Classes: Measures of center

Describe the center of numeric data categorically using phrases like “most popular”.

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K-2: Measures of center

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

Concept C1.2a

Grade K-2: Measures of spread

Advanced Classes: Measures of spread

Describe the upper and lower bounds of a set of objects. e.g., tallest and shortest, biggest and smallest

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K-2: Measures of spread

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

Concept C1.3a

Grade K-2: Shape

Advanced Classes: Shape

Describe the shape of the data categorically. e.g., "all grouped together", "spread out", "lots of small groups"

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K-2: 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 K-2: Frequency tables

Advanced Classes: Frequency tables

Sort objects into a frequency table based on shared characteristics.

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K-2: 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 K-2: Missingness

Advanced Classes: Missingness

Identify the absence of data.

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K-2: 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 K-2: Metadata

Advanced Classes: Metadata

Discuss the context of data. e.g., where or when it was collected

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K-2: 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 K-2: Comparing variables

Advanced Classes: Comparing variables

Describe similarities or differences across two variables.

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K-2: 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 K-2: Understanding distributions

Advanced Classes: Understanding distributions

Work with visual aids (e.g., colorful charts) and hands-on activities to sort objects (e.g., color).

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K-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 C2.2b

Grade K-2: Understanding distributions

Advanced Classes: Understanding distributions

Use primary data (e.g., favorite fruit) and represent data with tally marks or pictographs.

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K-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 C2.3a

Grade K-2: Defining relationships

Advanced Classes: Defining relationships

Organize objects by size, color, shape, etc.

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K-2: 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 K-2: Defining relationships

Advanced Classes: Defining relationships

Use language like “goes with” “belongs to”, or “matches” to group items together.

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K-2: 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 K-2: Analyzing non-traditional data

Advanced Classes: Analyzing non-traditional data

Analyze sensory data by counting occurrences of sounds (e.g., claps or animal noises).

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K-2: 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 C2.4b

Grade K-2: Analyzing non-traditional data

Advanced Classes: Analyzing non-traditional data

Categorize sensory data by type (e.g., loud vs. soft).

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K-2: 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 C2.4c

Grade K-2: Analyzing non-traditional data

Advanced Classes: Analyzing non-traditional data

Sort and compare objects based on textures (e.g., smooth, rough, or bumpy).

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K-2: 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 C3.1a

Grade K-2: Describing variability

Advanced Classes: Describing variability

Describe how similar objects can differ based on characteristics such as color, shape, and size.

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K-2: 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 K-2: Comparing variability

Advanced Classes: Comparing variability

Describe how two things or groups are different from one another (e.g., more or less, bigger or smaller).

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K-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 C4.6a

Grade K-2: Tool accessibility for diverse learners

Advanced Classes: Tool accessibility for diverse learners

Recognize that some digital tools help people who have difficulty seeing, hearing, or using technology.

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K-2: 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 K-2: Understanding modeling

Advanced Classes: Understanding modeling

Understand that objects can be grouped based on similar characteristics. e.g., "all blue items go here," "this group has ground shapes"

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K-2: 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 K-2: Understanding modeling

Advanced Classes: Understanding modeling

Recognize that criteria for sorting objects helps to organize them and identify patterns. e.g., grouping buttons by shape reveals which shapes are most common

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K-2: 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 K-2: Understanding modeling

Advanced Classes: Understanding modeling

Predict whether an object belongs to a group or category based on its characteristics.

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K-2: 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 K-2: Creating models

Advanced Classes: Creating models

Articulate simple rules for sorting. e.g., "all blue items go here," "this group has ground shapes"

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K-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 C5.2b

Grade K-2: Creating models

Advanced Classes: Creating models

Classify objects based on their observed similarities and characteristics.

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K-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 C5.2c

Grade K-2: Creating models

Advanced Classes: Creating models

Extend simple patterns based on observable characteristics. e.g., arranging objects by size

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K-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 D1.1a

Grade K-2: Probablistic language

Advanced Classes: Probablistic language

Recognize that some situations are not binary and find appropriate vocabulary to describe them. e.g., a classmate riding the bus to school could be "always," "sometimes," or "never"

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K-2: 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 K-2: Priors & updates

Advanced Classes: Priors & updates

Discuss a guess or hypothesis before an investigation, compare the initial guess to findings, and informally express how new data changes a prior guess.

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K-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 D1.5a

Grade K-2: Sampling & simulation

Advanced Classes: Sampling & simulation

Describe characteristics of a population and recognize that variability exists within any population. e.g., jelly beans in a jar

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K-2: 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.”

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