MIDAS

Precalculus with Limits, 5E

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Core Code Alignment

Mathematics
Calculus
07040000020: Precalculus (10-12)

Recommendation

Recommended Primary

Evaluation

This book has all of the elements required for Utah Precalculus, but spends a greater amount of time in the realm of trigonometry than the Utah standards emphasize. The book definitely moves at a quick pace. If your students are struggling with topics, then you will want to be prepared to supplement this text with other materials, as there are not a lot of assignment options for each topic.

Having said all of that, I feel this does an excellent job of reviewing and explaining the topics. There is a good use of color and diagrams to show how to do all of the problems. I feel confident that a student could actually read through the examples and learn to do the math using this textbook alone.

This book also comes with some amazing resources in the Cenage Learning Library. Every lesson has an entire lesson plan laid out. There are note guides for students. There are even PowerPoints already created for each chapter. The only issue is that I would evaluate the order in which some of the materials are taught. It's not 100% set up for any teacher to just pick it up and go. The teacher will want to look at the standards and decided their own scope and sequence, then pull materials from this book. If you have a basic plan, then this book will get you the rest of the way with ease.

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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.
Everything is there, but there is more than you need to cover, so you'll do all of the major works, but the focus isn't already provided. You would need to evaluate areas to not focus on and possibly provide a few supplemental materials.

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
Great explanations and drawings that focus on how the math works.
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 really has great learning materials for those students who like to learn from a textbook.
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
There is not a focus on application. The focus of the text is more functional in teaching students how to do the math problems. There are application problems in the exercises.

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 are a variety of types of problems, and the answers are provided to the odd problems, so students can check their work as they go along. I wanted to give this a 3, but the book doesn't exactly just focus on the major work for precalculus. It has a broader scope.
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
It does a good job of providing enough variety in evaluating student understanding.
Materials support the Standards’ emphasis on mathematical reasoning.	Meets	Partially meets	N/A	Does not meet
There are some really great support materials, such as notes, lesson plans, and powerpoints.

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 diagrams and colors showing steps progressing through problem solving in the examples does support ELL students, but there could be more emphasis on helping with vocabulary. It helps with seeing how to accomplish the math on paper, but not as much support for being able to explain the process in English.
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
The text does have excellent teaching tools, but it is fast paced. For learners who need a more gradual approach, I would plan on adding some supplemental materials.
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
There is not as much support for the language as there is for the process. Understanding the process is there, but it could use a few more supports with understanding the vocabulary. If you are using notes, then that does help.
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
The assignments provide an excellent variety.
Assessments measure what students understand and can do through well designed mathematical tasks and applications.	Meets	Partially meets	N/A	Does not meet
The questions are interesting and reasonable for this.

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Phone: 801.538.7807