Bootstrap:Algebra

K12 CS Framework Aligned

Bootstrap

Bootstrap’s mission is scalable, rigorous and equitable CS education for all. We offer a family of research-based curricular modules for g…

Bootstrap:Algebra applies mathematical concepts and rigorous programming principles to creating a simple video game, and is aligned to National and State Standards for Mathematics, as well as the CSTA standards and K12CS frameworks. The module can be taught as a separate, standalone tech or CS class, or can be integrated into a mainstream math class, delivered by a math teacher with no prior CS experience. In Bootstrap:Algebra, students create a simple, 3-character game involving a player, a target and a danger. They design what each character looks like, and use mathematical concepts such as coordinate planes, order of operations, ratio and proportion, Domain and Range, function composition, word problems and the distance formula to detect collisions, handle keystrokes, and determine how they move and interact. In addition to learning programming, students who take Bootstrap:Algebra have shown improvement on standard, pencil-and-paper algebra tasks.

Lessons from this curriculum can be applied to math classes ranging from elementary to high school, and can be used as advanced material for younger students or remedial material for struggling learners.

K12 CS Framework Components

Grade Band:
6-8
Concept:
Data and Analysis
Sub-Concept:
Visualization and Transformation
Statements:
Data can be transformed to remove errors, highlight or expose relationships, and/or make it easier for computers to process.
Grade Band:
6-8
Concept:
Algorithms and Programming
Sub-Concept:
Algorithms
Statements:
Algorithms affect how people interact with computers and the way computers respond. People design algorithms that are generalizable to many situations. Algorithms that are readable are easier to follow, test, and debug.
Grade Band:
6-8
Concept:
Algorithms and Programming
Sub-Concept:
Variables
Statements:
Programmers create variables to store data values of selected types. A meaningful identifier is assigned to each variable to access and perform operations on the value by name. Variables enable the flexibility to represent different situations, process different sets of data, and produce varying outputs.
Grade Band:
6-8
Concept:
Algorithms and Programming
Sub-Concept:
Control
Statements:
Programmers select and combine control structures, such as loops, event handlers, and conditionals, to create more complex program behavior.
Grade Band:
6-8
Concept:
Algorithms and Programming
Sub-Concept:
Modularity
Statements:
Programs use procedures to organize code, hide implementation details, and make code easier to reuse. Procedures can be repurposed in new programs. Defining parameters for procedures can generalize behavior and increase reusability.
Grade Band:
6-8
Concept:
Algorithms and Programming
Sub-Concept:
Program Development
Statements:
People design meaningful solutions for others by defining a problem’s criteria and constraints, carefully considering the diverse needs and wants of the community, and testing whether criteria and constraints were met.
Grade Band:
9-12
Concept:
Data and Analysis
Sub-Concept:
Visualization and Transformation
Statements:
People transform, generalize, simplify, and present large data sets in different ways to influence how other people interpret and understand the underlying information. Examples include visualization, aggregation, rearrangement, and application of mathematical operations.
Grade Band:
9-12
Concept:
Data and Analysis
Sub-Concept:
Inference and Models
Statements:
The accuracy of predictions or inferences depends upon the limitations of the computer model and the data the model is built upon. The amount, quality, and diversity of data and the features chosen can affect the quality of a model and ability to understand a system. Predictions or inferences are tested to validate models.
Grade Band:
9-12
Concept:
Algorithms and Programming
Sub-Concept:
Modularity
Statements:
Complex programs are designed as systems of interacting modules, each with a specific role, coordinating for a common overall purpose. These modules can be procedures within a program; combinations of data and procedures; or independent, but interrelated, programs. Modules allow for better management of complex tasks.
Grade Band:
9-12
Concept:
Algorithms and Programming
Sub-Concept:
Program Development
Statements:
Diverse teams can develop programs with a broad impact through careful review and by drawing on the strengths of members in different roles. Design decisions often involve tradeoffs. The development of complex programs is aided by resources such as libraries and tools to edit and manage parts of the program. Systematic analysis is critical for identifying the effects of lingering bugs.
Grade Band:
6-8
Concept:
Data and Analysis
Sub-Concept:
Inference and Models
Statements:
Computer models can be used to simulate events, examine theories and inferences, or make predictions with either few or millions of data points. Computer models are abstractions that represent phenomena and use data and algorithms to emphasize key features and relationships within a system. As more data is automatically collected, models can be refined.
Curriculum Directory Sponsored by BNY Mellon