2015
Eureka Math

3rd Grade - Gateway 1

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Note on review tool versions

See the series overview page to confirm the review tool version used to create this report.

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Gateway Ratings Summary

Focus & Coherence

Gateway 1 - Meets Expectations
100%
Criterion 1.1: Focus
2 / 2
Criterion 1.2: Coherence
4 / 4
Criterion 1.3: Coherence
8 / 8

The materials reviewed for Grade 3 meet the expectations for gateway 1. These materials do not assess above-grade-level content, and they spend the majority of the time on the major clusters of each grade level. Teachers using these materials as designed will use supporting clusters to enhance the major work of the grade. These materials are consistent with the mathematical progression in the standards and students are offered extensive work with grade-level problems. Connections are made between clusters and domains where appropriate. Overall, the Grade 3 materials are focused and follow a coherent plan.

Criterion 1.1: Focus

2 / 2
Materials do not assess topics before the grade level in which the topic should be introduced.

The instructional materials reviewed for Grade 3 meet the expectations for this criterion by not assessing any topics before the grade level in which the topic is introduced in the standards. No above-grade-level content was assessed on mid-module or end-of-module assessments in any module. All assessments, rubrics and topics relate to Grade 3 standards. Students are assessed on fluency with multiplication facts, solving two-step word problems and understanding place value among other topics.

Indicator 1a

2 / 2
The instructional material assesses the grade-level content and, if applicable, content from earlier grades. Content from future grades may be introduced but students should not be held accountable on assessments for future expectations.

The instructional materials reviewed for Grade 3 meet the expectations for focus within assessment. Overall, the instructional material does not assess any content from future grades within the summative assessment sections of each module.

  • No above-grade-level content was assessed on mid-module or end-of-module assessments.
  • All assessments, rubrics and topics relate to Grade 3 standards or below.
  • The summative assessments focus on grade level topics.
  • The mid-module and end-of-module summative assessments, which focus on fractions, use only the denominators of 2, 3, 4, 6 and 8.
  • Some of the exit tickets used for formative assessment require students to use denominators beyond the grade level. After clarifying that these exit tickets are not part of the summative assessment program, they were not considered in the review of this indicator. These exit tickets have been addressed on the Eureka website.

Criterion 1.2: Coherence

4 / 4

Students and teachers using the materials as designed devote the large majority of class time in each grade K-8 to the major work of the grade.

The instructional materials reviewed for Grade 3 meets the expectations for focus by spending the majority of the time on the major clusters of the grade. This includes all clusters within the 3.OA, all clusters in 3.NF and cluster A and C from 3.MD.

Indicator 1b

4 / 4

Instructional material spends the majority of class time on the major cluster of each grade.

The instructional materials reviewed for Grade 3 meet the expectation for focus by spending the majority of the time on the major clusters of the grade. This includes all clusters within the 3.OA, all clusters in 3.NF and clusters A and C from 3.MD.

More than 65% of the lessons are explicitly focused on major work, with major work often included within supporting-work lessons as well.

Of seven modules, modules 1, 3 and 4 address major work exclusively. Module 2 devotes about half of the lessons to major work. Module 5 devotes a few lessons to additional and supporting work.

Modules 6 and 7 spend the majority of the time on additional and supporting work with a few major work lessons included.

Of the 29 assessment days, 19 are devoted to major work.

Criterion 1.3: Coherence

8 / 8

Coherence: Each grade's instructional materials are coherent and consistent with the Standards.

The instructional materials reviewed for Grade 3 meet the expectations for coherence. The materials use supporting content as a way to continue work with the major work of the grade. For example, partitioning shapes within the geometry domain is used to support student work on fractions. The materials include a full program of study that is viable content for a school year, including 180 days of lessons and assessments. This set of materials is consistent with the mathematical progression of learning set forth in the standards. All students are given extensive work on grade-level problems, even students who are struggling, and this work progresses mathematically. These instructional materials are visibly shaped by the cluster headings in the standards; for example, one module is called "Fractions as Numbers on the Number Line." Connections are made between domains and clusters within the grade level. For instance, materials make connections between measurement and work with fractions and between area and multiplication. Overall, the Grade 3 materials support coherence and are consistent with the progressions in the standards.

Indicator 1c

2 / 2

Supporting content enhances focus and coherence simultaneously by engaging students in the major work of the grade.

The instructional materials reviewed for Grade 3 meet the expectations for their use of supporting content as a way to enhance coherence. For Grade 3, reviewers focused on the use of data and shapes as methods for supporting operations and fractions.

  • In module 5, students are partitioning shapes into equal parts and labeling each part as a unit, supporting their work on fractions.
  • In module 5, students are using a ruler as a number line.
  • In module 5, students are marking paper strip rulers into fractional parts.
  • In module 6, students are creating scaled bar graphs using multiplication.
  • In module 6, students are using data to perform operations and to identify equivalent fractions.

Indicator 1d

2 / 2

The amount of content designated for one grade level is viable for one school year in order to foster coherence between grades.

The instructional materials reviewed for Grade 3 meet the expectations for this indicator by providing a viable level of content for one school year.

  • Materials provide for 180 days of instruction and assessment.
  • Lessons are expected to be 60 minutes.
  • Lessons generally include fluency practice, application problems, concept development and a student debrief.
  • The materials are structured so that a teacher could make modifications if necessary.
  • While a district, school or teacher would not need to make significant changes to the schedule set forth, reviewers indicated concerns about the volume of the lessons.
  • Some lessons may take longer than indicated.
  • Days are included at the end of the year for culmination activities and preparation for summer practice.

Indicator 1e

2 / 2

Materials are consistent with the progressions in the Standards i. Materials develop according to the grade-by-grade progressions in the Standards. If there is content from prior or future grades, that content is clearly identified and related to grade-level work ii. Materials give all students extensive work with grade-level problems iii. Materials relate grade level concepts explicitly to prior knowledge from earlier grades.

The instructional materials reviewed for Grade 3 are consistent with the mathematical progressions in the standards, meeting the expectation for this indicator.

  • The types of problems included in the application problems show an increasing level of difficulty in multiplication.
  • Foundational standards from Grade 2 are included for each module.
  • In later modules, standards from earlier in the school year are listed as foundational standards. For example, 3.OA.1 and 3.OA.2 are covered in module 1 and then listed as foundational standards in module 3. Standards 3.MD.5, 3.MD.6 and 3.MD.7 are taught in module 4 and then listed as foundational standards in module 7.
  • Problem sets in each module offer students extensive work on grade-level problems.
  • Students are asked to multiply and divide with 2, 3, 4, 5 and 10 before working with 6, 7, 8 and 9.
  • Students are reminded of their work in Grade 2 with fractional halves, thirds, and quarters before working with sixths.
  • The differentiation sections give teachers suggestions for supporting struggling students while continuing to expect that students work on grade-level problems.
  • Suggestions for supporting English language learners (ELLs) continue to reflect the high level of expectations for these students.
  • Teacher notes include suggestions for advanced students to continue working within their grade level while deepening their understanding of the content.

Indicator 1f

2 / 2

Materials foster coherence through connections at a single grade, where appropriate and required by the Standards i. Materials include learning objectives that are visibly shaped by CCSSM cluster headings. ii. Materials include problems and activities that serve to connect two or more clusters in a domain, or two or more domains in a grade, in cases where these connections are natural and important.

The instructional materials reviewed for Grade 3 foster coherence through grade level connections.

  • The title for module 5, "Fractions as Numbers on the Number Line," is shaped by the cluster heading, "Develop Understanding of Fractions as Numbers."
  • In module 1 the lesson objective, "Model the Relationship Between Multiplication and Division," is related to the cluster heading, "Understand Properties of Multiplication and the Relationship Between Multiplication and Division."
  • Module 4 is called "Multiplication and Area," which is informed by the cluster heading that includes the words "relate area to multiplication."
  • Connections are made between measurement problems and fluent addition and subtraction within 1,000 and place value in module 2.
  • Connections are made between measurement and geometry in module 7.
  • Module 5 relates geometry to fractions.