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Calculus for AP

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Core Code Alignment

Mathematics
    Calculus
        07040000001: A.P. Calculus (AB) (10-12)

Recommendation

Recommended Primary

Evaluation

Overall, this is a solid textbook for AP Calculus. It is in the format of a very traditional math textbook, including explanations, lots of worked examples and practice problems. It also includes helpful resources for teachers such as test bank questions and PowerPoints to use. Its main weakness is the lack of conceptual focus and scaffolding due to it being for an advanced course and progressing at a quick pace.

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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
No sensitive material is contained in this text.
Prohibited discriminatory practices 53G-2-103-5, 53B-1-118 and 67-27-107 Does Not Violate Law NA NA May Violate Law
There is no evidence of prohibited discriminatory practices in this text.
Maintaining constitutional freedom in the public schools. 53G-10-202 Does Not Violate Law NA NA May Violate Law
Free from advertising, e-commerce, or political interest Contains none of the listed items. NA NA Contains one or more of the listed items.
This book is free from advertising, e-commerce, and political interest.
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. Meets all non-negotiable requirements NA NA Does not meet the non-negotiable requirements. *see narrative for determination of which requirement(s) was not met
This book contains a P chapter (Preparation for Calculus) that is clearly labeled as the prerequisite material from a previous course needed for Calculus. Besides Chapter P, all material aligns with the Major work of the grade (the AP CED standards). This text connects the pre-calculus topics with the calculus topics in a way that enhances student understanding of the new content. They also include additional calculus topics that are not on the AP test you would see in a traditional Calculus 1 college course, but those topics are clearly identified and the AP alignment is shown in the teacher manual.
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
Exercises include "Exploring Concepts" questions that have students explain important concepts in their own words. Lessons include explanations that connect conceptual understanding to procedures through written explanations, but I worry that students using this text would only read examples and not actually explore and develop conceptual understanding due to the lack of open-ended exploration question in the text.
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
Each section includes step-by-step examples of the procedural skills required along with about 100 exercises per section. This text includes PowerPoints that are clear and well designed with good examples. It also includes digital practice question banks and QR codes for videos.
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
Each section contains at least one application problem, and it includes application practice problems like those found on the AP test.
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 practice standards are integrated throughout the lesson, requiring students to apply them to understand the material.
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
Tasks, especially AP practice problems, assesses students ability to look for and make sure of structure, attend to precision, using appropriate tools strategically, and model with mathematics.
Materials support the Standards’ emphasis on mathematical reasoning. Meets Partially meets N/A Does not meet
Due to the complexity of AP test questions, this text has many questions that require students to practice and develop their mathematical reasoning skills.
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 eBook contains tools such as highlighter, note-taking, and read-speaker. The language used is carefully considered, but overall support for special populations is not as thoughtful as it could be.
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
Sections contain scaffolded progression of introduction to a topic with conceptual explanations, to step-by-step examples, to self guided practice. They also have step-by-step video and written solutions to odd practice problems for students who still need additional support.
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
Multiple representations are used throughout the text including graphs, tables, symbolic, and verbal representations. Side-by-side examples are used where a problem is solved using multiple representations- like showing the solution algebraically and on a graph. Error analysis problems are included where students analyze common errors.
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).
As a very traditional math textbook, the ethnic studies is limited as you would expect.
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)
This material does not explicitly address character or civic education.
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
Practice questions and digital question banks are available in the teacher resources companion site, allowing teachers to assess student multiple ways at regular intervals.
Assessments measure what students understand and can do through well designed mathematical tasks and applications. Meets Partially meets N/A Does not meet
Most sections include AP Exam Preparation questions that model the types of questions students see on the AP test and section projects that require students to apply the knowledge from the section on an application task.
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