About This Report
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Report Overview
Summary of Alignment & Usability: Math Trailblazers | Math
Product Notes
Along with access to digital materials for students and teachers, the student workbooks for each grade level were also reviewed.
Math K-2
The instructional materials reviewed for Kindergarten through Grade 2 do not meet the expectations for alignment to the CCSSM. The instructional materials do not meet the expectations for Gateway 1 as they do not appropriately focus on the major work of the grades or coherence within and across the grade levels. The instructional materials were not reviewed for Gateway 2.
Kindergarten
View Full ReportEdReports reviews determine if a program meets, partially meets, or does not meet expectations for alignment to college and career-ready standards. This rating reflects the overall series average.
Alignment (Gateway 1 & 2)
Materials must meet expectations for standards alignment in order to be reviewed for usability. This rating reflects the overall series average.
Usability (Gateway 3)
1st Grade
View Full ReportEdReports reviews determine if a program meets, partially meets, or does not meet expectations for alignment to college and career-ready standards. This rating reflects the overall series average.
Alignment (Gateway 1 & 2)
Materials must meet expectations for standards alignment in order to be reviewed for usability. This rating reflects the overall series average.
Usability (Gateway 3)
2nd Grade
View Full ReportEdReports reviews determine if a program meets, partially meets, or does not meet expectations for alignment to college and career-ready standards. This rating reflects the overall series average.
Alignment (Gateway 1 & 2)
Materials must meet expectations for standards alignment in order to be reviewed for usability. This rating reflects the overall series average.
Usability (Gateway 3)
Math 3-5
The instructional materials reviewed for Grades 3 through 5 do not meet the expectations for alignment to the CCSSM. The instructional materials do not meet the expectations for Gateway 1 as they do not appropriately focus on the major work of the grades or coherence within and across the grade levels. The instructional materials were not reviewed for Gateway 2.
3rd Grade
View Full ReportEdReports reviews determine if a program meets, partially meets, or does not meet expectations for alignment to college and career-ready standards. This rating reflects the overall series average.
Alignment (Gateway 1 & 2)
Materials must meet expectations for standards alignment in order to be reviewed for usability. This rating reflects the overall series average.
Usability (Gateway 3)
4th Grade
View Full ReportEdReports reviews determine if a program meets, partially meets, or does not meet expectations for alignment to college and career-ready standards. This rating reflects the overall series average.
Alignment (Gateway 1 & 2)
Materials must meet expectations for standards alignment in order to be reviewed for usability. This rating reflects the overall series average.
Usability (Gateway 3)
5th Grade
View Full ReportEdReports reviews determine if a program meets, partially meets, or does not meet expectations for alignment to college and career-ready standards. This rating reflects the overall series average.
Alignment (Gateway 1 & 2)
Materials must meet expectations for standards alignment in order to be reviewed for usability. This rating reflects the overall series average.
Usability (Gateway 3)
Report for 2nd Grade
Alignment Summary
The instructional materials reviewed for Grade 2 do not meet the expectations for alignment to the CCSSM.
The materials do not devote the large majority of class time to major standards of the grade, but the materials can be utilized to appropriately assess grade-level content. Some positive evidence was noted in the coherence criterion, but too many areas of weakness mean the instructional materials do not meet quality expectations for coherence. Due to the materials not meeting expectations for focusing on major work and coherence, they were not reviewed for rigor and Mathematical practices.
2nd Grade
Alignment (Gateway 1 & 2)
Usability (Gateway 3)
Overview of Gateway 1
Focus & Coherence
The instructional materials reviewed for Grade 2 do not meet expectations for alignment to focusing on major work of the grade and coherence. The instructional materials do not allocate a large percentage of class time to major standards of the grade, but the materials can be utilized to appropriately assess grade-level content. Some positive evidence was noted in the coherence criterion, but too many areas of weakness mean the instructional materials do not meet quality expectations for coherence.
Gateway 1
v1.0
Criterion 1.1: Focus
The instructional materials reviewed for Grade 2 meet the expectations for assessing material at the grade level. Although there are multiple units and lessons noted that align to and/or assess standards that are beyond Grade 2, the inclusion of these lessons and units is either Mathematically appropriate or, where not appropriate, their omission would not significantly alter the structure of the materials.
Indicator 1A
The instructional materials reviewed for Grade 2 meet expectations for assessment because above grade-level assessment items and their accompanying lessons or units could be modified or omitted without significantly impacting the underlying structure of the instructional materials. For this indicator, all of the identified assessments and end-of-unit assessments for the 15 units were reviewed. Units and lessons accompanying above grade-level assessment items are noted in the following list.
- In unit 5, lesson 2 has assessment items that partially align to 3.MD.A.2. , “Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.” The Key Assessment Opportunities Chart show the expectation that students be able to measure the volume of containers using nonstandard units, which is why the items only partially align. This lesson accounts for two to three class sessions of unit 5, which encompasses 12 to 14 class sessions total, so the omission of this lesson would not significantly impact the structure of this unit.
- In unit 8, lessons 1, 4, and 5 have assessment items that align to 3.MD.A.2. , “Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.” The Key Assessment Opportunities Chart shows the expectation that students be able to measure and compare the mass of objects using a two-pan balance and standard gram masses. These lessons account for seven class sessions of unit 8, which encompasses 11 to 13 class sessions total, so the omission or modification of these lessons would significantly impact the structure of this unit.
- In unit 10, lessons 1 through 6 have assessment items that align to 3.MD.A.2, “Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem,” and 5.MD.C.3. , “Recognize volume as an attribute of solid figures and understand concepts of volume measurement.” The Key Assessment Opportunities Chart shows the expectations that students be able to identify shapes that are the same size and shape; recognize that different shapes can have the same volume; and count and add cubic units to find volume. These lessons account for all of the class sessions of unit 10, which encompasses 9 to 12 class sessions total, so the omission or modification of these lessons would significantly impact the structure of this unit.
- In unit 11, lessons 1 through 5 have assessment items that align to 3.MD.A.2. “Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.” The Key Assessment Opportunities Chart shows the expectation that students be able to read and interpret a variety of scales calibrated by twos, fives, and tens and measure volume by displacement using a graduated cylinder. These lessons account for all of the class sessions of unit 11, which encompasses seven to nine class sessions total, so the omission or modification of these lessons would significantly impact the structure of this unit.
*Evidence updated 10/27/15
Criterion 1.2: Coherence
The instructional materials reviewed for Grade 2 do not meet the expectations for spending the large majority of class time on the major clusters of the grade. A large amount of time, 33%, is devoted to off grade-level expectations both above and below Grade 2. While there are a few instances, in units 7 and 8 for example, where the major work of Grade 2 is addressed, there is not enough to be a large majority of the instructional materials. Overall, the instructional materials allocate too much instructional time to clusters of standards that are not major work of Grade 2 or to standards that are above Grade 2.
Indicator 1B
The instructional materials reviewed for Grade 2 do not meet the expectations for spending the large majority of class time on the major clusters of the grade. Overall, the instructional materials allocate too much instructional time to clusters of standards that are not major work of Grade 2 or on standards that are above Grade 2.
- A large amount of time, 33%, is devoted to off grade-level expectations both above and below Grade 2. The amount of instructional time devoted to Grade 2 standards is 67%, not high enough to meet expectations for this indicator.
- There are a few instances, in units 7 and 8 for example, where the major work of Grade 2 is addressed, but there is not enough to be a large majority of the instructional materials.
Criterion 1.3: Coherence
The instructional materials reviewed for Grade 2 do not meet the expectations for being coherent and consistent with the CCSSM. The instructional materials have very few instances of supporting work fostering coherence, but the amount of content designated for Grade 2 is not viable for one school year. Also, the instructional materials are not consistent with the progressions in the CCSSM, and they do not foster coherence through connections at a single grade. Overall, the instructional materials for Grade 2 exhibit some characteristics of coherence, but for the entire criterion, there are too many weaknesses for the materials to even partially meet the expectations.
Indicator 1C
The instructional materials reviewed for Grade 2 do not meet the expectations for having the supporting content enhancing focus and coherence simultaneously. Overall, the instructional materials miss opportunities to connect non-major clusters of standards to major clusters. As a result, the supporting content does not engage students in the major work of Grade 2.
- In only two lessons does the supporting content enhance the major work of the grade (lesson 2, unit 2, and lesson 5, unit 4).
- The rest of the supporting work is handled separate from the major work of the grade level.
- Unit 2, lessons 3, 4 and 5, work with different types of grouping and objects for addition and subtraction, but there is not a direct link to multiplication.
- The supporting content is present, but it is treated separately from and not used to enhance the major work of the grade.
Indicator 1D
The instructional materials reviewed for Grade 2 do not meet the expectations for having an amount of content designated for one grade level as viable for one school year. Overall, the amount of time needed to complete the lessons is not appropriate for a school year of approximately 170-190 days.
- The instructional materials are allocated to last 223 days.
- The Grade 2 materials have 111 lessons that contain up to five activities per lesson.
Indicator 1E
The instructional materials reviewed for Grade 2 do not meet the expectations for having materials that are consistent with the progressions in the CCSSM. Overall, the materials do not give students extensive work with grade-level problems, and grade-level concepts are not always explicitly related to prior knowledge from earlier grades. Also, the materials do not develop according to the grade-by-grade progressions, with non-grade-level content not being clearly identified.
- The content which includes future grade-level materials is not clearly related to grade-level work as evidenced by lesson 2, unit 5; lesson 4, unit 6; lessons 1, 4 and 6, unit 8; and lessons 1 and 5, unit 10.
- Content does not develop appropriately within the major work of each grade as evidenced in indicators 1a, 1b and 1c. No mention of work in preparation for future grades is identified.
- Due to the amount of time spent on off grade-level work, students are not getting extensive work with grade-level problems. Units 6-13 contain content from future grade levels that limits the amount of time spent on grade level work.
- Units 7 and 9 deal with adding and subtracting within 10 when the work should be within 20.
- Unit 5, lesson 5, explores place value within 100, but students should be working within 1,000.
- There is no evidence of differentiation for below- or above-level students. All students and all learning levels are not accounted for.
- There are no explanations provided for the teacher or student linking prior knowledge from prior grades.
- In unit 1, lessons 4 and 7 cover material that should be in the Grade 1 scope and sequence, and there is not an explicit connection made in the teacher's guide.
Indicator 1F
The instructional materials reviewed for Grade 2 do not meet the expectations for having materials foster coherence through connections at a single grade. Overall, the materials do not include learning objectives that are visibly shaped by the CCSSM cluster headings, and the materials do not always connect two or more clusters in a domain or two or more domains in a grade when appropriate.
- It is not clear the learning objectives have been shaped by the cluster headings due to the amount of off grade-level objectives.
- Learning objectives attempt to align to cluster headings, but the amount of off grade-level content and objectives make it difficult to align to grade level learning standards.
- The student guides and "at home practice" are not labeled with objectives.
- Units are compartmentalized and lack connections between different units.
- In instances where there are connections, they involve content from future grade levels.
- Lesson 5, unit 4, is the only lesson that connects two clusters together appropriately, but there are many other connections within the grade level that could be made.