5th Grade - Gateway 2

Grade 5 My Math materials develop conceptual understanding of key mathematical concepts, especially where called for in specific content standards or cluster headings.

• The content in chapters 1-6, and 8, 10 and 12 specifically and fully address standards which are explicitly outlined as conceptual standards. (5.NBT.A, 5.NBT.B, 5.G.B.3, and 5.NF.B.3 through 5.NF.B.6)
• Of the 129 lessons, 73 are focused specifically on the conceptual understanding standards.
• The majority of the lessons in the series have a section "Investigate the Math" which targets conceptual understanding. This is contained in the online lesson presentation. For example, page 43B, teacher edition.
• All lessons in the series have a section called "Talk Math" which targets conceptual understanding. This is contained in the online lesson presentation. For example, page 771-772, teacher edition.
• The majority of the homework contains problems that provide students the opportunity to view and to demonstrate their conceptual understanding. For example, pages 193, 395-396, and 675-676, teacher/student edition.
• Procedures for division are presented in Grade 5. More attention is needed for the conceptual understanding of division to meet the standard.

The Grade 5 My Math materials give attention throughout the year to individual standards that set an expectation of procedural skill and fluency. Lessons contain multiple examples of fluency practice pages.

• In the student edition fluency practice pages are found in chapters 2 and 4. For example, see chapter 2, pages 143-144; and chapter 4, pages 289-290.
• Homework contains multiple opportunities for students to practice fluency.
• Each chapter in the online teacher edition has additional fluency pages available for printing.
• "Sail through the Math," an app game for fluency, is available for purchase ($1.99).
• 5.NBT.B.5 has seven lessons out of 129 which address the standard and are in chapters 2, 6 and 8.
• Procedural skills are present in the majority of the lessons. For example, page 404, teacher/student edition, contains procedural skill.

Grade 5 My Math materials are designed so teachers and students spend sufficient time working with engaging applications of the mathematics, without losing focus on the major work.

• The teacher edition states "Math in My World", "HOT (Higher Order Thinking) Problems," and "Real-World Problem-Solving Readers" address application.
• While "Real-World Problem-Solving Readers" are available to provide additional problems, they were not reviewed by EdReports.org as they are not included in the basic package with the student and teacher editions and were therefore considered supplementary.
• Most lessons begin with "Math in My World" which uses real-world problems to introduce concepts. For example, see chapter 3, lesson 10, page 215.
• The majority of "HOT Problems" address application. For example, see pages 122, 338 and 382, teacher/student edition.
• Real-world problems are found in the majority of lessons and homework assignments.
• "Count-down to Common Core" provides performance tasks requiring application of the standards. However, some future grade level content is included such as money and elapsed time.

The Grade 5 My Math instructional materials meet the expectations for balance. Overall, the three aspects of rigor are neither always treated together nor always treated separately within the materials, and there is a balance of the three aspects of rigor within the grade.

• At the beginning of each lesson a "rigor" section exists identifying levels of complexity by problem or exercise number. For example, chapter 9, lesson 3 has three problems for conceptual learning (understand concepts), 12 problems for fluency/procedural skill (apply concepts), and five problems for application (extend concepts).

In the Grade 5 My Math Standards for Mathematical Practice (MPs) are identified and used to enrich mathematics content within and throughout Grade 5. Overall, the instructional materials do not over-identify or under-identify the MPs, and the MPs are used within and throughout the grade.

• The teacher edition, pages T22-T24 state the MPs and the corresponding pages.
• The practices are identified throughout all 129 lessons. Each lesson has three to four MPs as the focus.
• The student edition does indicate which mathematical practice the student is working in the lesson and in the homework.

The instructional materials reviewed for Grade 5 My Math meet the expectations for prompting students to construct viable arguments and analyze the arguments of others concerning key grade-level mathematics detailed in the content standards. Overall, the materials consistently allow students to construct viable arguments and prompt students to analyze other student arguments.

• Materials provide opportunities for students to construct viable arguments independent of the teacher.
• The majority of "HOT Problems" have students constructing viable arguments. For example, see pages 32, 554, and 566, teacher/student edition.
• Some of the problems in the homework have students constructing viable arguments. For example, see pages 328, 676, 682, and 718, teacher/student edition.
• More time is given to constructing arguments than analyzing the arguments of others.

The Grade 5 My Math instructional materials explicitly attend to the specialized language of mathematics. Overall, the materials for both students and teachers have multiple ways for students to engage with the vocabulary of mathematics that are consistently present throughout the materials.

• The special language of mathematics is a strength of the series.
• Individual vocabulary cards are found at the beginning of each chapter in the student edition.
• Vocabulary checks are included in some homework assignments. For example, chapter 1, lesson 1, page 16.
• Vocabulary assessments can be created online.
• Virtual word walls are available online.
• "Match the Pairs" is an interactive vocabulary component.
• "Check my Progress" assesses vocabulary, for example page 35.
• Each chapter begins with a foldable supporting vocabulary development.
• At the beginning some chapters contain "My Math Words." For example, chapter 7, page 474.
• The teacher, student, and online editions contain extensive glossaries in English and Spanish.
• Lessons contain mathematical terminology.