Advanced Algebra (UCSMP)

MathGrades 10–11

About This Curriculum

A second-year algebra course that emphasizes functions as a unifying theme, integrating advanced algebraic concepts with geometric applications and real-world mathematical modeling.

What makes it unique: Integrates practical applications, mathematical thinking, and geometric concepts in a functions-based approach that prepares students for advanced mathematics courses while maintaining high academic standards.

Advanced Algebra (UCSMP): Function-Focused Second-Year Algebra

Advanced Algebra (UCSMP) is a second-year algebra course designed for grades 10-11 that uses functions as a unifying theme while integrating algebraic concepts with geometric applications and real-world mathematical modeling. The curriculum emphasizes practical applications, mathematical thinking, and challenging skills with calculator integration.

Best for

Independent learners in grades 10-11 seeking an advanced, application-focused second-year algebra course that emphasizes functions and real-world mathematical modeling

Evaluation Criteria

1 strength · 1 concern · 2 neutral · 5 insufficient evidence

Word ProblemsStrength

The curriculum emphasizes real-world mathematical modeling and practical applications throughout.

Description specifically mentions 'real-world mathematical modeling' and review notes 'practical application' focus

Direct InstructionConcern

The curriculum appears designed for more independent student work rather than direct teacher-led instruction.

Review indicates 'most students can work on their own' though they 'should have a knowledgeable adult available for consultation'

Worked ExamplesNeutral

The curriculum provides explanations that allow most students to work independently, suggesting some modeling is present.

Review states 'Explanations are better than in most texts at this level, so most students can work on their own'

Sequencing ApproachNeutral

The curriculum follows a functions-based sequence that is described as more advanced than typical Algebra II courses.

Scope and sequence described as 'advanced beyond some other second-year algebra courses' with topics progressing from functions through trigonometry and probability

Teacher TrainingInsufficient Evidence

A teacher's edition is available but no specific professional development or training materials are mentioned.

Review mentions 'You need both the student text and the teacher's edition' but no details about teacher support content

Retrieval PracticeInsufficient Evidence

No evidence of systematic retrieval practice or spaced review components is mentioned.

No mention of cumulative review, practice testing, or spaced repetition in the available review

Assessment DiagnosticInsufficient Evidence

No information about diagnostic assessments or formative evaluation tools is provided.

Review does not mention any assessment components or diagnostic features

Visual RepresentationsInsufficient Evidence

Visual models are likely present given the emphasis on graphing and geometric applications, though specifics aren't detailed.

Curriculum integrates 'geometric applications' and covers 'variations and graphs' suggesting visual elements

Conceptual Procedural BalanceInsufficient Evidence

The curriculum appears to emphasize conceptual understanding through practical applications and mathematical thinking, though procedural fluency details are unclear.

Review mentions the curriculum incorporates 'practical application, mathematical thinking, and challenging skills' suggesting conceptual focus

Sources: cathyduffyreviews.com