Computer Science Standards
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Algorithms
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Showing 1 - 5 of 5 Standards
Standard Identifier: 3-5.AP.10
Grade Range:
3–5
Concept:
Algorithms & Programming
Subconcept:
Algorithms
Practice(s):
Recognizing and Defining Computational Problems, Testing and Refining Computational Artifacts (3.3, 6.3)
Standard:
Compare and refine multiple algorithms for the same task and determine which is the most appropriate.
Descriptive Statement:
Different algorithms can achieve the same result, though sometimes one algorithm might be more appropriate for a specific solution. Students examine different ways to solve the same task and decide which would be the better solution for the specific scenario. For example, students could use a map and create multiple algorithms to model the early land and sea routes to and from European settlements in California. They could then compare and refine their algorithms to reflect faster travel times, shorter distances, or avoid specific characteristics, such as mountains, deserts, ocean currents, and wind patterns. (HSS.4.2.2) Alternatively, students could identify multiple algorithms for decomposing a fraction into a sum of fractions with the same denominator and record each decomposition with an equation (e.g., 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8). Students could then select the most efficient algorithm (e.g., fewest number of steps). (CA CCSS for Mathematics 4.NF.3b) Additionally, students could compare algorithms that describe how to get ready for school and modify them for supporting different goals including having time to care for a pet, being able to talk with a friend before classes start, or taking a longer route to school to accompany a younger sibling to their school first. Students could then write an opinion piece, justifying with reasons their selected algorithm is most appropriate. (CA CCSS for ELA/Literacy W.3.1, W.4.1, W.5.1)
Compare and refine multiple algorithms for the same task and determine which is the most appropriate.
Descriptive Statement:
Different algorithms can achieve the same result, though sometimes one algorithm might be more appropriate for a specific solution. Students examine different ways to solve the same task and decide which would be the better solution for the specific scenario. For example, students could use a map and create multiple algorithms to model the early land and sea routes to and from European settlements in California. They could then compare and refine their algorithms to reflect faster travel times, shorter distances, or avoid specific characteristics, such as mountains, deserts, ocean currents, and wind patterns. (HSS.4.2.2) Alternatively, students could identify multiple algorithms for decomposing a fraction into a sum of fractions with the same denominator and record each decomposition with an equation (e.g., 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8). Students could then select the most efficient algorithm (e.g., fewest number of steps). (CA CCSS for Mathematics 4.NF.3b) Additionally, students could compare algorithms that describe how to get ready for school and modify them for supporting different goals including having time to care for a pet, being able to talk with a friend before classes start, or taking a longer route to school to accompany a younger sibling to their school first. Students could then write an opinion piece, justifying with reasons their selected algorithm is most appropriate. (CA CCSS for ELA/Literacy W.3.1, W.4.1, W.5.1)
Standard Identifier: 6-8.DA.9
Grade Range:
6–8
Concept:
Data & Analysis
Subconcept:
Inference & Models
Practice(s):
Developing and Using Abstractions, Testing and Refining Computational Artifacts (4.4, 6.1)
Standard:
Test and analyze the effects of changing variables while using computational models.
Descriptive Statement:
Variables within a computational model may be changed, in order to alter a computer simulation or to more accurately represent how various data is related. Students interact with a given model, make changes to identified model variables, and observe and reflect upon the results. For example, students could test a program that makes a robot move on a track by making changes to variables (e.g., height and angle of track, size and mass of the robot) and discussing how these changes affect how far the robot travels. (CA NGSS: MS-PS2-2) Alternatively, students could test a game simulation and change variables (e.g., skill of simulated players, nature of opening moves) and analyze how these changes affect who wins the game. (CA NGSS: MS-ETS1-3) Additionally, students could modify a model for predicting the likely color of the next pick from a bag of colored candy and analyze the effects of changing variables representing the common color ratios in a typical bag of candy. (CA CCSS for Mathematics 7.SP.7, 8.SP.4)
Test and analyze the effects of changing variables while using computational models.
Descriptive Statement:
Variables within a computational model may be changed, in order to alter a computer simulation or to more accurately represent how various data is related. Students interact with a given model, make changes to identified model variables, and observe and reflect upon the results. For example, students could test a program that makes a robot move on a track by making changes to variables (e.g., height and angle of track, size and mass of the robot) and discussing how these changes affect how far the robot travels. (CA NGSS: MS-PS2-2) Alternatively, students could test a game simulation and change variables (e.g., skill of simulated players, nature of opening moves) and analyze how these changes affect who wins the game. (CA NGSS: MS-ETS1-3) Additionally, students could modify a model for predicting the likely color of the next pick from a bag of colored candy and analyze the effects of changing variables representing the common color ratios in a typical bag of candy. (CA CCSS for Mathematics 7.SP.7, 8.SP.4)
Standard Identifier: 9-12.DA.11
Grade Range:
9–12
Concept:
Data & Analysis
Subconcept:
Inference & Models
Practice(s):
Developing and Using Abstractions, Testing and Refining Computational Artifacts (4.4, 6.3)
Standard:
Refine computational models to better represent the relationships among different elements of data collected from a phenomenon or process.
Descriptive Statement:
Computational models are used to make predictions about processes or phenomena based on selected data and features. They allow people to investigate the relationships among different variables to understand a system. Predictions are tested to validate models. Students evaluate these models against real-world observations. For example, students could use a population model that allows them to speculate about interactions among different species, evaluate the model based on data gathered from nature, and then refine the model to reflect more complex and realistic interactions.
Refine computational models to better represent the relationships among different elements of data collected from a phenomenon or process.
Descriptive Statement:
Computational models are used to make predictions about processes or phenomena based on selected data and features. They allow people to investigate the relationships among different variables to understand a system. Predictions are tested to validate models. Students evaluate these models against real-world observations. For example, students could use a population model that allows them to speculate about interactions among different species, evaluate the model based on data gathered from nature, and then refine the model to reflect more complex and realistic interactions.
Standard Identifier: 9-12S.AP.18
Grade Range:
9–12 Specialty
Concept:
Algorithms & Programming
Subconcept:
Modularity
Practice(s):
Developing and Using Abstractions, Creating Computational Artifacts, Testing and Refining Computational Artifacts (4.2, 5.3, 6.2)
Standard:
Demonstrate code reuse by creating programming solutions using libraries and APIs.
Descriptive Statement:
Code reuse is critical both for managing complexity in modern programs, but also in increasing programming efficiency and reliability by having programmers reuse code that has been highly vetted and tested. Software libraries allow developers to integrate common and often complex functionality without having to reimplement that functionality from scratch. Students identify, evaluate, and select appropriate application programming interfaces (APIs) from software libraries to use with a given language and operating system. They appropriately use resources such as technical documentation, online forums, and developer communities to learn about libraries and troubleshoot problems with APIs that they have chosen. For example, students could import charting and graphing modules to display data sets, adopt an online service that provides cloud storage and retrieval for a database used in a multiplayer game, or import location services into an app that identifies points of interest on a map. Libraries of APIs can be student-created or publicly available (e.g., common graphics libraries or map/navigation APIs).
Demonstrate code reuse by creating programming solutions using libraries and APIs.
Descriptive Statement:
Code reuse is critical both for managing complexity in modern programs, but also in increasing programming efficiency and reliability by having programmers reuse code that has been highly vetted and tested. Software libraries allow developers to integrate common and often complex functionality without having to reimplement that functionality from scratch. Students identify, evaluate, and select appropriate application programming interfaces (APIs) from software libraries to use with a given language and operating system. They appropriately use resources such as technical documentation, online forums, and developer communities to learn about libraries and troubleshoot problems with APIs that they have chosen. For example, students could import charting and graphing modules to display data sets, adopt an online service that provides cloud storage and retrieval for a database used in a multiplayer game, or import location services into an app that identifies points of interest on a map. Libraries of APIs can be student-created or publicly available (e.g., common graphics libraries or map/navigation APIs).
Standard Identifier: 9-12S.IC.27
Grade Range:
9–12 Specialty
Concept:
Impacts of Computing
Subconcept:
Culture
Practice(s):
Fostering an Inclusive Computing Culture, Testing and Refining Computational Artifacts (1.2, 6.1)
Standard:
Evaluate computational artifacts with regard to improving their beneficial effects and reducing harmful effects on society.
Descriptive Statement:
People design computational artifacts to help make the lives of humans better. Students evaluate an artifact and comment on aspects of it which positively or negatively impact users and give ideas for reducing the possible negative impacts. For example, students could discuss how algorithms that screen job candidates' resumes can cut costs for companies (a beneficial effect) but introduce or amplify bias in the hiring process (a harmful effect). Alternatively, students could discuss how turn-by-turn navigation tools can help drivers avoid traffic and find alternate routes (a beneficial effect), but sometimes channel large amounts of traffic down small neighborhood streets (a harmful effect). Additionally, students could discuss how social media algorithms can help direct users' attention to interesting content (a beneficial effect), while simultaneously limiting users' exposure to information that contradicts pre-existing beliefs (a harmful effect).
Evaluate computational artifacts with regard to improving their beneficial effects and reducing harmful effects on society.
Descriptive Statement:
People design computational artifacts to help make the lives of humans better. Students evaluate an artifact and comment on aspects of it which positively or negatively impact users and give ideas for reducing the possible negative impacts. For example, students could discuss how algorithms that screen job candidates' resumes can cut costs for companies (a beneficial effect) but introduce or amplify bias in the hiring process (a harmful effect). Alternatively, students could discuss how turn-by-turn navigation tools can help drivers avoid traffic and find alternate routes (a beneficial effect), but sometimes channel large amounts of traffic down small neighborhood streets (a harmful effect). Additionally, students could discuss how social media algorithms can help direct users' attention to interesting content (a beneficial effect), while simultaneously limiting users' exposure to information that contradicts pre-existing beliefs (a harmful effect).
Questions: Curriculum Frameworks and Instructional Resources Division |
CFIRD@cde.ca.gov | 916-319-0881