MIDAS

AP Precalculus

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Core Code Alignment

Mathematics
Calculus
07040000020: Precalculus (10-12)

Recommendation

Recommended Primary

Evaluation

The material aligns well with state standards, offering thorough and well-structured instruction of required concepts and skills at the appropriate grade level. It includes clear explanations, a wide variety of practice problems, and real-world applications that support student understanding and engagement. Additionally, the material provides ample support for assessment, and integration of technology. The content does not violate any of the required or non-negotiable sections of the rubric.

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Material Categories

Comprehensive

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	Does Not Violate Law	NA	NA	May Violate Law
Content does not contain sensitive or prohibited materials.
Prohibited discriminatory practices 53G-2-103-5, 53B-1-118 and 67-27-107	Does Not Violate Law	NA	NA	May Violate Law

Maintaining constitutional freedom in the public schools. 53G-10-202	Does Not Violate Law	NA	NA	May Violate Law
Content does not violate constitutional freedom laws.
Free from advertising, e-commerce, or political interest	Contains none of the listed items.	NA	NA	Contains one or more of the listed items.
Content is free from advertising.

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. 1- Student and teachers using the materials as designed devote the majority of time to the Major Work of the grade. 2- Supporting Work enhances focus and coherence simultaneously by also engaging students in the Major Work of the grade. 3- Materials follow the grade-by-grade progressions in the Standards. Content from previous or future grades does not unduly interfere. 4- Lessons that only include mathematics from previous grades are clearly identified. Materials that do not meet the non-negotiable requirements for Focus and Coherence will not be recommended as primary resources. Please continue with the review to determine if the materials may be recommended for supplemental use.	This item has not been graded.

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
The information provides conceptual understanding as well as skill practice. Numerous applications exist throughout the text. The materials support the development of students’ conceptual understanding of key mathematical concepts and standards.
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 book provides a lot of problems in the exercise section for practice of the concepts learned. Problems are varied in terms of content and style and there are a sufficient number to attain fluency.
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
Question sets are balanced with skill practice as well as application problems. Materials include a variety of questions throughout, as well as a variety of application topics. All problems are focused around the Major Work of the grade and regularly engaging.

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
MyStudy plan provides continual practice. Section questions and unit reviews are included and provide appropriate practice. Throughout the book there are sufficient and varied problem sets focused around the Major Work of the grade.
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
Sufficient attention throughout paid to mathematical practice standards. Both content throughout the chapters, as well as supplemental materials and assessments support this emphasis.
Materials support the Standards’ emphasis on mathematical reasoning.	Meets	Partially meets	N/A	Does not meet
Sufficient attention throughout paid to mathematical reasoning standards. Both content throughout the chapters, as well as supplemental materials and problem sets support this emphasis.

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
The text is accessible with screen reader and higlighting tools, no EL support in student lessons but study videos do have portuguese captions. EL support in blue text in the margins of the teacher's edition.
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
Little-to-no designed differentiation besides mystudy lab. Elearning has hints, examples, and videos. Section exercises have different levels of difficulty and teachers can assign specific problems. Videos available for some of the lessons. It also provides an AI tutor. The teacher's edition has supports in the margin that contain "Alerts, Remarks, Notes on Examples, Exploration Extensions, as well as other general and specific Teaching Notes."
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
Strategies not built into lessons, students taught polya's problem solving and encouraged to use throught the class. Each chapter contains an Overview, "What you'll learn", a group activity, and vocabulary highlighted in Yellow. Occasional "alerts" in the teachers edition show where students might have common mistakes.
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,	In addition to the content outlined in “Adequate,” this material offers multiple evidence-based supplemental resources and opportunities for learning about various forms of cultural philosophies and epistemologies from Utah, the United States, and worldwide. The materials provide cultural backgrounds, contemporary real-life experiences, and contexts that are relevant to local students. Some examples may include people with disabilities, various body types, and ages.	This material demonstrates respect for diverse socio-cultural identities. The material provides opportunities to acknowledge and integrate the histories, cultures, contributions, and perspectives of people from the United States and worldwide. The material accurately represents the cultures, languages, traditions, beliefs, values, and customs of people from diverse backgrounds through a variety of texts, examples, scenarios, imagery, and applications.	The material has limited themes of social and cultural histories within the United States and globally. The material provides limited examples of inclusive or cultural real-life experiences and does not include diverse characters.	The material does not meet the requirements within the ethnic studies core standards and curriculum requirements. (53E-4-204.1).
Some examples and story problems contain limited themes of social and cultural histories.
Shared Values and Character Traits	The material extends beyond the content outlined in "Adequate", it includes elements that connect Utahns to the world. The material offers multiple evidence-based supplemental resources and opportunities for cultivating character traits in students. The material offers multiple evidence-based supplemental resources and opportunities for cultivating character traits in students. Some examples may include characters with a variety of personalities, education, income, occupation, or behaviors that illustrate character traits.	The material focuses on the shared values of diverse people and communities, the common elements that unite Utahns, and displays some character traits in its imagery and content. It aims to cultivate character traits in students, such as courage, leadership, intelligence, integrity, honesty, respect, morality, civility, duty, honor, and service, along with principles found in the Constitution.	The material lacks a sense of shared values or common elements that unite Utahns. Furthermore, the material has limited resources addressing civic and character education.	The material does not meet the requirements within the ethnic studies core standards and curriculum requirements (53E-4-204.1) and civic and character education. (53G-10-204)
Contains a mindset instructor guide. Some exercise problems include character traits or valued traits such as education, income, and occupation.

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
Multiple formative and summative assessment opportunities in the materials including tests and quizzes for each chapter. It also provides AP practice test questions. Assessments contain a wide variety of questions in terms of style, content, and structure.
Assessments measure what students understand and can do through well designed mathematical tasks and applications.	Meets	Partially meets	N/A	Does not meet
Assessment bank has a variety of question types and difficulty level so students can show what they know. Includes questions for tests and quizzes as well as projects for students to show understanding. Assessments accurately measure what students can do and have learned.

UTAH STATE BOARD OF EDUCATION

250 East 500 South

Salt Lake City, UT 84111-3204

Phone: 801.538.7807