Precalculus
Core Code Alignment
Mathematics
Calculus
07040000020: Precalculus (10-12)
Calculus
07040000020: Precalculus (10-12)
Recommendation
Recommended Primary
Evaluation
This resource is recommended as it includes comprehensive examples, videos, assessments, and tasks that cover the Pre-calculus course standards and its prerequisites. Its strengths are that it includes many clear, worked out examples and opportunities to practice. The textbook's weakness would be the limited opportunities given for students to think and problem solve independently.
Educators Using These Materials
No educators found.
Material Categories
Comprehensive
Rubric : Mathematics 2025
Review Complete. Final Score: 45 / 54 possible points (83%)
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 | ||
| There was no indication that this source violated any state laws. | ||||||
| Prohibited discriminatory practices 53G-2-103-5, 53B-1-118 and 67-27-107 | Does Not Violate Law | NA | NA | May Violate Law | ||
| There was no indication that this source violated any state laws. | ||||||
| Maintaining constitutional freedom in the public schools. 53G-10-202 | Does Not Violate Law | NA | NA | May Violate Law | ||
| There was no indication that this source violated any state 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. | ||
| There was no indication that this source violated any state laws. | ||||||
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 | ||
| With the limited scope of information, it was believe that the source met most of the non-negotiable requirements. It was clear that the materials in the source followed the grade-by-grade progressions in the Standards. | ||||||
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 | ||
| It was clear that the source supports the development of student's conceptual uderstanding. | ||||||
| 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 | ||
| It was clear the source design allowed students to attian the fluencies and procedrual skills needed. | ||||||
| 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 | ||
| It was clear the souce designed allowed for sufficient time working with application without losing focus. It was clear that a focus in this matieral is to develop mathematics of the grade. | ||||||
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 | ||
| There was not enough information to determine if the materials address practice standards in both teacher and student materials. | ||||||
| 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 | ||
| In the limited information given, it seemed as though tasks and assessments were designed to provide evidence of proficiency. Problem solving and extension problem are given that could assess students proficiency in the Standards of Mathematical Practice. | ||||||
| Materials support the Standards’ emphasis on mathematical reasoning. | Meets | Partially meets | N/A | Does not meet | ||
| It was clear in the materials that the focus is mathematical reasoning. | ||||||
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 | ||
| Resources provided include tools to translate the text into 100 different languages, text-to-speech capabilities, and videos with subtitles available in multiple languages. Beyond the options for translation, there are not considerable considerations for English language leaners. | ||||||
| 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 | ||
| In the limited information given, it did seem as though the matierals would provide scaffolding, differentiation, intervention, and support; however, it is unknown if there would be a gradual removal of the 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 | ||
| It was clear that the design of the materials incorporated multiple types of strategies within the lessons. | ||||||
| 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). | ||
| This material includes appropriate, relevant real world examples of mathematicians and scientists from diverse backgrounds that apply the mathematical topics being taught. | ||||||
| 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) | ||
| The information provided did not give a clear indication of connections to Utah within the requirements. | ||||||
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 | ||
| It was clear that this source did allow for multiple measurements of individual student progress. | ||||||
| Assessments measure what students understand and can do through well designed mathematical tasks and applications. | Meets | Partially meets | N/A | Does not meet | ||
| It was clear this source's assessments measure what students understand and can do within tasks and application of mathematics. | ||||||
UTAH STATE BOARD OF EDUCATION
250 East 500 South
Salt Lake City, UT 84111-3204
Phone: 801.538.7807