2016
Everyday Math 4

2nd Grade - Gateway 1

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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 - Partially Meets Expectations
71%
Criterion 1.1: Focus
2 / 2
Criterion 1.2: Coherence
4 / 4
Criterion 1.3: Coherence
4 / 8

The instructional materials reviewed for Grade 2 Everyday Mathematics partially meet the expectations for Gateway 1. The materials meet the expectations for focusing on the major work of the grade, but they do not meet the expectations for coherence. The instructional materials can easily be adjusted so no future, grade-level content is assessed. Some strengths were found and noted in the coherence criterion as the instructional materials partially met some of the expectations for coherence. Overall, the instructional materials allocate enough time to the major work of the grade for Grade 2, but the materials do not always meet the full depth of the standards.

Criterion 1.1: Focus

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

The Second Grade Everyday Mathematics materials meet the expectations for not assessing topics before the grade level in which they should be introduced. Future, grade-level topics are assessed; however, those assessments could be removed without affecting the progression of learning for students. The number of future grade-level assessments is limited and could easily be removed by the teacher.

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 2 meet expectations for assessment because above grade-level assessment items could be modified or omitted without a significant impact on the underlying structure of the instructional materials. Probability, statistical distributions, and/or similarity, transformations and congruence do not appear in the Grade 2 materials.

The program allows for a Beginning-of-the-Year, Mid-year, End-of-the-Year Assessment, and Unit Assessments, which mostly assess the Grade 2 standards. There are also nine unit assessments/progress checks. The unit assessments/progress checks have portions for self assessment, unit assessment, open response assessment, cumulative assessment, and a challenge. These assessments can be found in the Assessment Handbook. The Individual Profile of Progress for tracking and class progress are present in both paper (pages 100-112 in the Assessment Handbook) and digital formats. A Facts Record Sheet exists to monitor student fluency in the Assessment Handbook on page 98. Most lessons have an Assessment Check-in that can be used as either formative or summative assessment as stated in the implementation guide.

Assessment check-ins are part of most lessons and mostly assess grade-level content. Examples include:

  • Unit 1, Lesson 1-11: 2.NBT.A.4 - Compare values of two and three digit numbers (page 124).
  • Unit 2, Lesson 2-3: 2.OA.B.2 - Develop fact fluency of doubles and facts of ten, with students assessed through individual and/or small group interviews (page 166).
  • Unit 3, Lesson 3-10: 2.OA.B.2 - Develop fact fluency building on student understanding of 10 to decompose numbers strategically to subtract to ten and from ten (page 308).
  • Unit 4, Lesson 4-4: 2.NBT.A.3 - Build and represent two- and three-digit numbers (page 358).
  • Unit 5, Lesson 5-4: 2.MD.C.8 - Use coins to show values and add and subtract with money (page 466).
  • Unit 6, Lesson 6-2: 2.OA.A.1 - Solve comparison word problems (page 542).
  • Unit 8, Lesson 8-6: 2.G.A.2 - Partition a rectangle into rows and columns with equal size squares page 728.

The Unit Assessments, the Middle of the Year Assessment, the End of the Year Assessment and some of the Assessment Check-Ins do have a few off grade-level assessments included. The following off grade-level content is assessed in the Grade 2 Materials:

  • Unit 8 Assessment, page 53 in the Assessment Handbook, problem 3, assesses parallel lines at the Grade 4 level (4.G.A.1).
  • Unit 8 Assessment, page 56 in the Assessment Handbook, problem 1, assesses multiplication at the Grade 3 level (3.OA.A.1).
  • Unit 9 Assessment, page 66 in the Assessment Handbook, problem 11, and page 67 in the Assessment Handbook, problem 2, assesses partitioning shapes at the Grade 3 level (3.G.A.2).
  • Unit 9 Assessment, page 67 in the Assessment Handbook, problems 1b and 1c, assesses multiplication, a Grade 3 standard (3.OA.A.1).
  • The Middle-of-the-Year Assessment in the Assessment Handbook, page 79, problem 6a, and page 80, problem 10, assesses number patterns at the Grade 4 level (4.OA.C.5).
  • The End of the Year Assessment in the Assessment Handbook, page 97, problem 24, assesses partitioning at the Grade 3 level (3.G.A.2).
  • The Assessment Check-In on page 803 has students measuring to the half-inch (3.MD.B.4).
  • The Assessment Check-In for Lesson 9-5, on page 230 of the Math Journal, asks students to write 4-digit numbers in expanded form and compare them. 2.NBT.3 and 2.NBT.4 both specify "numbers to 1000 or two three-digit numbers."
  • The Assessment Check-Ins for Lessons 9-10 and 9-11, on pages 242 and 246 of the Math Journal, ask students to write multiplication models, a Grade 3 expectation (3.OA.A.1).
  • The Assessment Check-Ins for Lessons 8-1, 8-2, and 8-4, on pages 694, 700, and 714, ask students to identify parallel lines and right angles, a Grade 4 expectation (4.G.A.1).

All of the off grade-level assessments could be removed by the teacher without affecting the sequence of learning for students.

Note:

  • Assessment Check-in on page 153 of the teacher manual refers to bill combinations on page 19 of Math Journal 1. However, the bills are on page 17, and page 19 is an addition number story.
  • Unit 5 Assessment question 9 has a question mark on the blank, this could be a typo.

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 Grade 2 Everyday Mathematics materials do meet expectations for devoting the large majority of class time to the major work of the grade level. In Grade 2, the materials should engage students in the major work of the grade 65-85 percent of the time. The Second Grade Everyday Mathematics engages students in the major work of the grade about 72 percent of the time.

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 2 meet the expectations for focus by spending the majority of the time on the major clusters of the grade. This includes all the clusters in 2.NBT and clusters 2.OA.A, 2.OA.B, 2.MD.A and 2.MD.B.

The Grade 2 materials do spend the majority of class time on the major clusters of the grade. Work was not calculated by units since the units spiral and are not clustered by groups of standards. At the lesson level, the lessons are divided into Daily Routines, Core Activities, and Practice. Each day consists of 15-20 minutes on routines, 30-45 minutes of a core activity, and 15-20 minutes of practice. Assessment days were not included in these calculations. Additionally, the Open Response Lessons were counted as two lessons.

There are nine units with 10-13 lessons per unit. Each unit has a 2-day open response lesson. There are also two days provided for a progress check at the end of each lesson. Including the two days for open response lessons, there are 107 days (98 lessons total) and another 18 days allowed for assessment, making 125 days worth of materials.

The following calculations were derived from the core activities of the lesson.

  • Seventy-eight lessons out of the 108 are focused on the major work. This represents approximately 72 percent of the lessons.
  • Twenty-seven lessons out of the 108 are focused on the supporting work of the grade. This work was treated separately from the major work of the grade. This represents approximately 25 percent of the lessons.
  • Three lessons out of the 108 are focused on off-grade level work. This represents approximately 3 percent of the lessons. This includes: lesson 9-4, page 799, on measuring to the 1/2 inch, a Grade 4 standard; lesson 1-10, "Skip Counting with a Calculator", counting by 3's, 4's, 6's and 9's, which would be a Grade 3 standard; and Lesson 8-9 concentrates on changing arrays and repeated addition to multiplication problems, with no mention of preparing students for the Grade 3 standard.

Criterion 1.3: Coherence

4 / 8

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

The instructional materials reviewed for Grade 2 did not meet the expectations for being coherent and consistent with CCSSM. The instructional materials do have enough materials to be viable for a school year, but they do not always meet the depth of the standards. The majority of instructional materials do not have supporting content enhancing focus and coherence simultaneously, but they do have objectives which are clearly shaped by the CCSSM. Overall, the instructional materials for Grade 2 do not exhibit enough characteristics of coherence.

Indicator 1c

1 / 2

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

The instructional materials reviewed for Grade 2 partially meet expectations that supporting content enhancing focus and coherence by engaging students in the major work of the grade. In some cases, the supporting work enhances and supports the major work of the grade level, and in others, it does not.

At times supporting content does enhance focus and coherence by engaging students in the major work of the grade. Examples of the connections between supporting work and major work include the following:

  • Lesson 4-2 is focused on students telling time to the nearest five minutes (2.MD.7) and connects telling time to counting by 5's (2.NBT.2).
  • Lessons 7-7 and 7-8 focus on students collecting data and plotting the data on line plots (2.MD.9) and connects with calculating the difference between the different data sets (2.NBT.5).

At times, supporting work does not enhance and support the major work of the grade. At times, standards listed at the beginning of each unit are logically connected to each other; however, when the specific work of the unit and lessons is examined, some connections are missed or not specifically noted for teacher or students. Also, many lessons address supporting work in isolation from major work of the grade. Examples of units and lessons without connections between supporting and major work include the following:

  • Lesson 1-9 is focused on odd and even numbers using 10-frames. Supporting work is treated separately from the major work of the grade in the focus lesson. A natural connection for students in Grade 2 would be to apply their work with doubles to the concept of odd and even numbers. Students could explore the concept that if a number can be decomposed (broken apart) into two equal addends or doubles addition facts (e.g., 10 = 5 +5), then that number (10 in this case) is an even number. This connection is not made.
  • Lesson 2-1 introduces place value through 100 using money. On page 153 of the Teacher’s Lesson Guide, the following suggestion is provided: “You might have them draw symbols for bills or write number sentences to record different ways to make the same total.” Writing number sentences is not required in this lesson, so an opportunity to link to major work of 2.OA.1 is missed.
  • Lessons 4-1 and 4-3 focus on supporting work of the grade. As the focus lesson, supporting work is treated separately from the major work of the grade.
  • Lesson 5-5 focuses on arrays and repeated addition which is supporting work of the grade. Supporting work in the focus lesson is treated separately from the major work.
  • Lesson 7-9 is focused on supporting work of the grade, 2.G.A.1 and 2.G.A.2, and is not connected to major work of the grade.
  • Lessons 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, and 8-11 focus on supporting work of the grade. These focus lessons are treated separate from the major work of the grade level.
  • Lessons 9-1 and 9-3 focus on supporting work of the grade with no connection to the major work of the grade presented.

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 2 meet the expectations for the amount of content designated for one grade level being viable for one school year in order to foster coherence between grades. The suggested pacing includes 109 days of lessons (100 lessons total) and another 24 days allowed for assessment, making 133 days of materials. According to the Teacher Guide on page xxxvi, each lesson is expected to last between 60-70 minutes. The online curriculum states to use Friday's as a Flex Day for games and intervention work. With Fridays being included as Flex Days, this curriculum allows for approximately 33 to 34 weeks of instruction.

Indicator 1e

0 / 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 2 do not meet the expectation for being consistent with the progressions in the standards. Content from prior grades is not clearly identified or connected to grade-level work, and students are not given extensive work with grade-level problems.

Material related to future, grade-level content is not clearly identified or related to grade-level work. The second grade materials have three instances where future grade-level content is present and not identified as such. This includes: lesson 9-4 on page 799, on measuring to the 1/2 inch, a third grade standard (3.MD.B.4); lesson 1-10 "Skip Counting with a Calculator", counting by 3's, 4's, 6's and 9's which would be a Grade 3 standard (3.OA.D.9); and Lesson 8-9 on changing arrays and repeated addition to multiplication problems, with no mention of preparing students for the third grade standard (3.OA.A.3).

The content does not always meet the full depth of standards. This mainly occurs because of a lack of lessons addressing the full depth. For example, there are seven lessons which address 2.OA.1; however, only three of them are subtraction. The others are addition. Additionally, the majority of the subtraction problems use friendly numbers and do not have students using place value understanding to prepare for use of the standard algorithm. Another example is 2.NBT.6 which has only two lessons with students adding up to four digits. A third example is 2.MD.5 which has only three lessons relating addition and subtraction to length.

Everyday Mathematics Second grade materials do not provide extensive work with grade-level standards. For example, the instructional materials do not provide extensive work with the following standards:

  • 2.NBT.1b: The online spiral tracker indicates that there are 17 exposures to Standard 2.NBT.1b in the instructional materials, and two of these exposures are Focus activities.  As noted on page xxxix of the Teacher’s Guide, Focus activities are “(t)wo to four main instructional activities, including games, in which children explore and engage in new content (skills, concepts, applications).” In Lesson 4-4, students use number cards, base-10 blocks, and expanded form to represent 3-digit numbers in the Focus portion of the lesson. The Lesson 4-4 Focus activity is 30-40 minutes of the 60-80 minute lesson. This standard is also included in the Focus portion of Lesson 9-6. The Lesson 9-6 Focus activity is 35-40 minutes of the 60-75 minute lesson. In Lesson 9-6 students use base-10 blocks to subtract. There are limited opportunities for students to work with hundreds in this lesson; most problems focus on subtracting 2-digit numbers. For example, on the Math Journal worksheet on page 232, which is an Assessment Check-in, one of four problems has a 3-digit number. The rest of the exposures occur in Practice, Warm Up, or Assess portions of lessons. For example, the Practice Math Journal page 86 in Lesson 4-9 and the Practice Math Journal page 118 in Lesson 5-7 each include a problem aligned to 2.NBT.1b.
  • 2.NBT.A.2: There is only one lesson that works with counting to 1000. Unit 1 provides one lesson where children create a math scroll to 1000, and then 1000 is not discussed again until lesson 9-5 where the thousand cube is introduced. Other lessons throughout the units occasionally include a math warm up with skip counting within 1000.  There are also opportunities to count in math warm ups, math journals, and home-link work.
  • 2.NBT.A.3: Expanded form is taught in 6-8 and reviewed in lesson 9-5. There is not a lesson teaching writing numbers to 1000 in word form, although it is stated in the standard. Students are only asked to put numbers in word form on eight questions in the series in either Math Journals or Home-links. 1000 is not introduced until lesson 9-5.
  • 2.NBT.B.9: There are few problems where students are to explain how and why strategies work.

In lessons where prior knowledge is needed, the instructional materials do not state that prior knowledge is being used. When future, grade-level concepts are introduced, there is no mention that the concept will be used in future grades. If the teacher uses the spiral trace at the beginning of the lesson or unit, the teacher will know where prior knowledge is used based on the spiral trace and when the student will use the skill/concept again in the future. The spiral tracker is listed by lessons and not connecting standards. At the beginning of each unit, the spiral trace provides an explanation of what will occur by the end of the unit, but the spiral trace does not explain any further and does not connect to the next standard.

Indicator 1f

1 / 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 2 partially meet the expectations for fostering coherence through connections at a single grade, where appropriate and when the standards require. Overall, materials include learning objectives that are visibly shaped by CCSSM cluster headings, but there are missed opportunities to provide problems and activities that connect two or more clusters in a domain or two or more domains when these connections are natural and important.The materials do include learning objectives which are visibly shaped by CCSSM cluster headings. In the teacher's lesson guide on page EM3, the materials show the Goals for Mathematical Content for Everyday Math and how they align to the CCSSM. From this alignment, it is apparent the goals are shaped by the CCSSM cluster headings. Instructional materials shaped by cluster headings include the following examples:

  • Lesson 4-5, "Using Place Value to Compare Numbers," is shaped by 2.NBT.A.
  • Lesson 5-6, "Mentally Adding and Subtracting 10 and 100," is shaped by 2.NBT.B.
  • Lesson 7-4, "Measuring with Yards," is shaped by 2.MD.A.
  • Lesson 9-5, "Reviewing Place Value," is shaped by 2.NBT.A.

While the materials have many instances where two or more domains are connected, often the connections are only surface-level connections. Generally the lessons are divided into parts, and the parts only truly address one standard at a time. Additionally, 46 of the lessons are only aligned to one domain.