Badge Overview

Explorations in Algebra

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Details

Explorations in Algebra

Issued by Hood College

Badge Description

The Explorations in Algebra badge examines the theory behind the arithmetic and algebra taught in elementary and middle school. Topics include patterns, sequences, algebraic properties, elementary number theory, justification of algorithms and number systems.

Problem Solving Perseverance Reasoning Communication Mathematical Arguments

Badge Criteria

This FOUNDATIONAL level badge is equivalent to a 3-credit, master’s-level course. A final grade of B or better is required to earn this badge.

1. Recognize algebra as a language for expressing generality and abstraction. 2. Correctly and fluently use symbols and expressions containing symbols. 3. Demonstrate and apply the critical role and ubiquitous nature of the abstract laws of associativity, commutativity and distributivity in symbolic manipulations, especially in the solution of equations. 4. Recognize the structural similarity between integers and polynomials. 5. Recognize the connection between fractions and rational expressions. 6. Know when a function has an inverse function. 7. Understand the interplay among numerical, symbolic, verbal and graphical representations of quantitative relationships and the role and means of transforming and simplifying these representations. 8. Use concepts and symbolic expressions for working with families of functions, such as polynomial, exponential, rational, logarithmic and trigonometric families.

Aligned Outcomes

Internal
Core Competencies
https://www.hood.edu/offices-services/institutional-assessment/institutional-learning-outcomes GSO_Comm
Communication

The badge earner will communicate clearly and effectively in oral, written and/or visual formats, consistent with the standards of their discipline.
Internal
Core Competencies
https://www.hood.edu/offices-services/institutional-assessment/institutional-learning-outcomes GSO_CriReas
Critical Reasoning

The badge earner will approach content and tasks with a critical awareness, framed by knowledge and skills appropriate to their discipline.
Internal
Core Competencies
https://www.hood.edu/offices-services/institutional-assessment/institutional-learning-outcomes GSO_ProbSolv
Problem Solving

The badge earner will apply advanced disciplinary content knowledge and strategies to understand and address problems and questions relevant to their discipline and to which they have not previously been introduced.

Explorations in Algebra

Issued by Hood College

Badge Description

Badge Criteria

This FOUNDATIONAL level badge is equivalent to a 3-credit, master’s-level course. A final grade of B or better is required to earn this badge.

Aligned Outcomes

Core Competencies

Communication

Core Competencies

Critical Reasoning

Core Competencies

Problem Solving