Precalculus (10-12)
Core Code Alignment
Mathematics
Calculus
07040000020: Precalculus (10-12)
Calculus
07040000020: Precalculus (10-12)
Recommendation
Not Reviewed
Evaluation
Recommended Primary
The text, Precalculus with Limits, thoroughly covers the Utah core for Precalculus. The topics in this text are thoughtfully organized with an emphasis on clarity of presentation. Concepts are defined, explained detail, and illustrated with descriptive, step-by-step examples. The text includes many short checks that students can use to review their understanding. Student misconceptions and difficulties are addressed in text discussions. The text also uses real-world scenarios to help students see appropriate applications of concepts.
Thorough exercises, chapter summaries, reviews, and practice tests are included in the text. Alternatively, the text can be accompanied by online assignments and assessments that provide students with immediate feedback. Additional online resources include note-taking guides, videos, power points, technology guides, su
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Rubric : Mathematics 2025
Compliance with State Law (Required)
| Item | 3 - Extensive | 2 - Adequate | 1 - Inadequate | 0 - None | ||
|---|---|---|---|---|---|---|
| Sensitive Materials and Prohibited Submission 53G-10-103, R277-628 | This item has not been graded. | |||||
| Prohibited discriminatory practices 53G-2-103-5, 53B-1-118 and 67-27-107 | This item has not been graded. | |||||
| Maintaining constitutional freedom in the public schools. 53G-10-202 | This item has not been graded. | |||||
| Free from advertising, e-commerce, or political interest | This item has not been graded. | |||||
Focus and Coherence: Non-Negotiable
| Item | 3 - Extensive | 2 - Adequate | 1 - Inadequate | 0 - None | ||
|---|---|---|---|---|---|---|
| Non-negotiable materials must focus coherently on the Major Work of the grade in a way that is consistent with the progressions in the standards. | Student and teachers using the materials as designed devote the majority of time to the Major Work of the grade. | Supporting Work enhances focus and coherence simultaneously by also engaging students in the Major Work of the grade. | Materials follow the grade-by-grade progressions in the Standards. Content from previous or future grades does not unduly interfere. | Lessons that only include mathematics from previous grades are clearly identified. | ||
| This comprehensive text is well-aligned to the Utah Core standards for Precalculus. All major topics in the standards are thoughtfully organized and clearly presented in step-by-step descriptions. Real-world examples are used to help students see appropriate applications of the material. | ||||||
Rigor and Balance
| Item | 3 - Extensive | 2 - Adequate | 1 - Inadequate | 0 - None | ||
|---|---|---|---|---|---|---|
| The materials support the development of students’ conceptual understanding of key mathematical concepts, especially where called for in specific standards or cluster headings. | Meets | Partially meets | N/A | Does not meet | ||
| Precalculus concepts are precisely defined then illustrated with transparent examples. Short checks for understanding follow each presentation of a concept to ensure that students have made sense of the material. | ||||||
| The materials are designed so that students attain the fluencies and procedural skills required by the Standards. | Meets | Partially meets | N/A | Does not meet | ||
| The text emphasizes clarity of presentation and accuracy of algebraic processes as described in the Standards. Text materials are supplemented with a student note-taking guide, power point presentations, online assignments that provide immediate feedback, and additional online resources. | ||||||
| The materials are designed so that teachers and students spend sufficient time working with applications, without losing focus on the Major Work of each grade. (Are there single and multi-step contextual problems that develop the mathematics of the grade, afford opportunities for practice, and engage students in problem solving?) | Meets | Partially meets | N/A | Does not meet | ||
| In addition to the checks for understanding that follow each presentation of a concept, exercises are provided for each section with real world scenarios where appropriate. Exercises cover all concepts presented in the section with rigor and balance. Each chapter ends with a thorough Chapter Summary, Chapter Review, and a Chapter Test where students can review their understanding. | ||||||
Standards for Mathematical Practice
| Item | 3 - Extensive | 2 - Adequate | 1 - Inadequate | 0 - None | ||
|---|---|---|---|---|---|---|
| Materials address the practice standards in such a way as to enrich the Major Work of the grade; practice standards strengthen the focus on Major Work instead of detracting from it, in both teacher and student materials. | Meets | Partially meets | N/A | Does not meet | ||
| The Standards for Mathematical Practice are addressed in the text with particular emphasis on attending to precision, making use of structure, and expressing regularity in repeated reasoning. Where appropriate, scenarios are used that model with mathematics. Less emphasis is placed on constructing arguments and reasoning abstractly, although several exercises ask students to critique incorrect reasoning. | ||||||
| Tasks and assessments of student learning are designed to provide evidence of students’ proficiency in the Standards of Mathematical Practice. | Meets | Partially meets | N/A | Does not meet | ||
| Online assignments provide immediate feedback for student work. End of Chapter Summaries, Reviews, and Practice Tests are thorough and give students an opportunity to review their understanding. Assessments require students to perform correct procedures and provide correct answers | ||||||
| Materials support the Standards’ emphasis on mathematical reasoning. | Meets | Partially meets | N/A | Does not meet | ||
| Text emphasis is on complete processes and correct answers. Mathematical reasoning is illustrated in step-by-step examples. | ||||||
Access to the Standards for All Students
| Item | 3 - Extensive | 2 - Adequate | 1 - Inadequate | 0 - None | ||
|---|---|---|---|---|---|---|
| Support for English Language learners and other special populations is thoughtful (evidence-based) and helps those students meet the same Standards (and rigor) as all other students. The language in which problems are posed is carefully considered. | Meets | Partially meets | N/A | Does not meet | ||
| Support for English language learners and other special populations was not observed. | ||||||
| Materials provide scaffolding, differentiation, intervention, and support for a broad range of learners with gradual removal of supports, when needed, to allow students to demonstrated their mathematical understanding independently. | Meets | Partially meets | N/A | Does not meet | ||
| Materials are designed to show comprehensive explanations. Online resources provide additional student supports. | ||||||
| Design of lessons incorporates strategies such as using multiple representations, deconstructing/reconstructing the language of problems, providing suggestions for addressing common student difficulties, etc. to ensure grade-level progress for all learners. | Meets | Partially meets | N/A | Does not meet | ||
| Some examples provide multiple representations. Student difficulties are directly addressed in text discussions. | ||||||
| Ethnic Studies- (Ethnic studies in core standards and curriculum should be a narrowly tailored incorporation of age-appropriate opportunities that naturally arise through education without pretextual effort in courses, programs, or activities where ethnic studies is not a primary focus. The material should incorporate a curriculum of people and cultures that reflect the state’s various demographics without commentary that seeks to violate the neutrality standard established in codes: 53B-1-118, 53G-2-103, 53G-2-104, 53G-2-105, 67-27-107, | This item has not been graded. | |||||
| Shared Values and Character Traits | This item has not been graded. | |||||
Assessment
| Item | 3 - Extensive | 2 - Adequate | 1 - Inadequate | 0 - None | ||
|---|---|---|---|---|---|---|
| Multiple measurements of individual student progress occur at regular intervals ensuring success of all students. | Meets | Partially meets | N/A | Does not meet | ||
| Checks for understanding are provided after presentation of each concept. Text provides sufficient exercises, reviews, and practice tests. Online resources describe group projects. | ||||||
| Assessments measure what students understand and can do through well designed mathematical tasks and applications. | Meets | Partially meets | N/A | Does not meet | ||
| Assessments adequately measure student learning outcomes as specified at the beginning of each section. | ||||||
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