Coverage and Practice: The materials provide comprehensive coverage of major grade topics with plentiful daily practice and frequent assessments. However, practice often focuses on a single method, and there may be limited support for students needing extra help or repeated exposure.
Rigor, Depth, and Conceptual Understanding: Lessons and assessments align with standards but may lack expected rigor and deep conceptual exploration. Visual models and multiple representations are present, but lessons tend to prioritize procedural fluency and move quickly, which can challenge struggling students.
Support, Inclusion, and Application: There are systems for differentiation, English Learner support, and some representation of diverse backgrounds. Application to real-life contexts is strong, but cultural representation and engagement could be improved.
| 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 | ||
| All material is appropriate for this age group. | ||||||
| Prohibited discriminatory practices 53G-2-103-5, 53B-1-118 and 67-27-107 | Does Not Violate Law | NA | NA | May Violate Law | ||
| The program has a small component called "Equity and Action"; it is in support of learning and focuses on addressing all student needs without calling out any particular group. | ||||||
| Maintaining constitutional freedom in the public schools. 53G-10-202 | Does Not Violate Law | NA | NA | May Violate Law | ||
| Curriculum maintains constitutional freedom. | ||||||
| Free from advertising, e-commerce, or political interest | Contains none of the listed items. | NA | NA | Contains one or more of the listed items. | ||
| No advertising or political interests involved. | ||||||
| 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 | ||
| The materials cover the major grade topics well, with some possible modifications needed. Volume is a major topic but is only addressed late in the year. The design allows teachers to revisit and reinforce key skills throughout the year. | ||||||
| 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 | ||
| Visual models and representations are present, but lessons prioritize procedural fluency over deep conceptual understanding. Some pages may be crowded, increasing cognitive load for some students. Lessons move quickly, which can frustrate students who need more time. | ||||||
| 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 | ||
| Daily practice is plentiful, but typically focuses on one method. Some students who need extra support may not get enough support. | ||||||
| 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 | ||
| Lessons and practice align with standards but lack the rigor expected in Utah. Application activities are limited and usually appear only at the end. Some pages are dense and could benefit from more color and engaging elements. | ||||||
| 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 | ||
| Lessons have margin notes on how to align practice standards along with scope and sequence alignment at the chapter level. | ||||||
| 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 | ||
| Lesson margin notes emphasize practice standards, while chapter assessments focus on content standards. Some assessments target less rigorous skills. | ||||||
| Materials support the Standards’ emphasis on mathematical reasoning. | Meets | Partially meets | N/A | Does not meet | ||
| The chapter scope and sequence align with the practice standards. | ||||||
| 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 | ||
| Every lesson includes English Learner support, WIDA standards, language routines, and daily discourse plans. There are many suggestions to support students from diverse backgrounds. | ||||||
| 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 | ||
| Each lesson includes guided learning and differentiation notes. Supports mostly review prior material, with limited scaffolds for current grade content. | ||||||
| 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 | ||
| The program offers support systems like Reinforce, Re-engage, Intervene, Extend, and Deepen Learning for every lesson. Multiple representations are used, but strategy variety and addressing misconceptions are limited. | ||||||
| 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). | ||
| Materials feature people of diverse ethnicities and disabilities, with some cultural items in photos. Representation of other cultures and groups is limited. There is no emphasis on cultures connected to Utah. | ||||||
| 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) | ||
| Adequate. No strong emphasis on connections to Utah. | ||||||
| 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 | ||
| There are frequent assessment opportunities, including quick checks, reviews, and exit tickets. Assessments may feel rushed due to the pacing of the content. Effective use requires teachers to closely monitor formative data. | ||||||
| Assessments measure what students understand and can do through well designed mathematical tasks and applications. | Meets | Partially meets | N/A | Does not meet | ||
| Each chapter includes reviews, tests, performance tasks, math games, and centers for observation. Assessments frequently cover representations and procedures, but may not fully address conceptual understanding for long-term retention. Real-life application is emphasized, and frequent assessments help teachers adjust instruction. | ||||||
250 East 500 South
Salt Lake City, UT 84111-3204
Phone: 801.538.7807