3rd Grade - Gateway 1

The instructional materials reviewed for Eureka Grade 3 meet expectations that they assess grade-level content. Each Eureka Module includes one or more assessments that hold students accountable for Grade 3 content. These assessments are the Mid-Module and End-of-Module assessments. Examples of the assessments include:

• In Module 2, Mid-Module Assessment Task: Students measure time intervals in minutes as well as solve word problems involving addition and subtraction of time intervals in minutes by using a number line diagram (3.MD.1). Questions 1 states, “Fatima runs errands. a. The clock to the right shows what time she leaves home. What time does she leave? b. It takes Fatima 17 minutes to go from her home to the market. Use the number line below to show what time she gets to the market. d. How long does Fatima spend at the market?”
• In Module 3, Mid-Module Assessment Task: Students solve multiplication and division word problems (3.OA.3). Question 2 states, “There are 48 liters of water needed to finish filling the dunk tank at the carnival. Each container holds 8 liters of water. How many containers are needed to finish filling the dunk tank? Represent the problem using multiplication and division sentences and a letter for the unknown. Solve.”
• In Module 4, End-of-Module Assessment Task: Students solve real world problems by finding areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts (3.MD.7d). Question 3 states, “Mr. and Mrs. Jackson are buying a new house. They are deciding between the two floor plans below. Which floor plan has the greater area? Show how you found your answer on the drawings above. Show your calculations below.”
• In Module 5, Mid-Module Assessment Task: Students express whole numbers as fractions (3.NF.3c). Question 2 states, “Draw 2 rectangles the same size. Each rectangle represents 1 whole. a. Partition each rectangle into 3 equal parts. Shade and label a fraction greater than 1. b. Draw a number bond that shows 1 whole rectangle as 3 unit fractions.“

The instructional materials for Grade 3 have two questions that assess future grade-level standards. In Module 7, Mid-Module Assessment Task, Question 2 states, Students must understand what a right angle is in order to draw shapes with and without right angles. “Use your ruler and right angle tool to draw the following shapes. a. Draw and name a shape with four right angles. b. Draw a four-sided shape with no right angles and no equal sides. Label the side lengths.” This question aligns with 4.G.1. The off-grade level items could be removed without affecting the sequence of learning for the students or the mathematical integrity of the materials.

The instructional materials reviewed for Eureka Grade 3 meet expectations for spending a majority of instructional time on major work of the grade. This includes all clusters within the domains 3.OA and 3.NF as well as clusters A and C in 3.MD.

• More than 65 percent of the lessons are explicitly focused on major work, with major work often included within supporting work lessons as well.
• Of the 144 lesson days, approximately 126 days (88 percent) are spent on the major clusters of the grade.
• Of the seven modules, Modules 1, 3 and 4 focus on major work. 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.

The instructional materials reviewed for Eureka Grade 3 meet expectations that supporting work enhances focus and coherence simultaneously by engaging students in the major work of the grade. Supporting standards/clusters are connected to the major standards/clusters of the grade. For example:

• In Module 2, Lesson 17: 3.NBT.A supports the major work of 3.MD.A. Students add intervals of time in minutes. Problem Set Question 2 states, “Janet watched a movie that is 94 minutes long on Friday night. She watched a movie that is 151 minutes long on Saturday night. a. Decide how to round the minutes. Then, estimate the total minutes Janet watched movies on Friday and Saturday.”
• In Module 3, Lessons 19-21: 3.NBT.A supports the major work of 3.OA.A. Students relate place value to multiplication and division. Problem Set Question 1 states, “Use the chart to complete the equations. Then, solve. The first one has been done for you.”
• In Module 5, Lesson 1: 3.G.2 supports the major work cluster of 3.NF.A. Students partition shapes to understand that parts of a whole are fractions. Problem Set Question 3b states, “ Draw another small rectangle. Estimate to split it into 3 equal parts. How many lines did you draw to make 3 equal parts? What is the name of each fractional unit?”
• In Module 7, Lesson 20: 3.MD.8 supports the major work standard 3.MD.5b. Students find the area of several rectangles with a perimeter of 12 units that the students built with square unit tiles. Problem Set Question 1 states, “ Use your square unit tiles to build as many rectangles as you can with a perimeter of 12 units. 1c. Find the areas of all the rectangles in part (a) above.”

Instructional materials for Eureka Grade 3 meet expectations that the amount of content designated for one grade level is viable for one year. As designed, the instructional materials can be completed in 180 days. The suggested amount of time and expectations of the materials for teachers and students are viable for one school year as written and would not require significant modifications.

The instructional materials consist of seven modules. Instruction and assessment days are included in the following count:

• Module 1: 25 days
• Module 2: 25 days
• Module 3: 25 days
• Module 4: 20 days
• Module 5: 35 days
• Module 6: 10 days
• Module 7: 40 days

All lessons are paced to be 60 minutes in length. Lessons generally include fluency practice, application problems, concept development and a student debrief. Lessons vary in amount of time spent on various sections but time estimates are reasonable and appropriate for the activities described. Module 7 includes four days for The Year in Review that include culminating activities and preparation for summer practice.

The instructional materials for Eureka Grade 3 meet expectations for the materials being consistent with the progressions in the standards. The instructional materials give all students extensive work with grade-level problems and identify as well as explicitly connect grade-level work to prior or future grades.

Each module starts with a summary of what concepts will be taught within that module. This summary explains how the lessons support the progression of Grade 3 standards by explicitly stating connections to prior or future grades. For example:

• Module 1, Properties of Multiplication and Division and Solving Problems with Units of 2-5 and 10: “In Topic A, students initially use repeated addition to find the total from a number of equal groups (2.OA.4). As students notice patterns, they let go of longer addition sentences in favor of more efficient multiplication facts (3.OA.1). Lessons in Topic A move students’ Grade 2 work with arrays and repeated addition a step further by developing skip-counting rows as a strategy for multiplication.”

Each module has a “Module Standards” section that contains tabs named “Focus Grade-Level Standards” and “Foundational Standards.” The Focus Grade-Level Standards tab contains Grade 3 standards that are addressed within the module. The Foundational Standards tab contains prior grade-level standards as well as grade-level standards that are the foundational skills needed for the lessons within the module. Foundational standards from Grade 2 or from previous Grade 3 work are included for each module. An example from Module 1 is:

• Number and Operations in Base Ten 2.NBT.2
• Operations and Algebraic Thinking 2.OA.3 | 2.OA.4
• Understand place value 2.NBT.2
• Work with equal groups of objects to gain foundations for multiplication 2.OA.3 | 2.OA.4

The instructional materials attend to the full intent of the grade-level standards by giving all students extensive work with grade-level problems. Lessons begin with a fluency practice that is also labeled with a grade-level standard. For example:

• In Module 1, Lesson 16, the Fluency Practice focuses on standards 3.OA.1, 3.OA.3 and 3.OA.7. Multiplication of 4 by the digits 6-10 is the focus of the 14-minute fluency practice.
• In Module 4, Lesson 12, the Fluency Practice focuses on standards 3.OA.1, 3.OA.7, and 3.MD.7. Group Counting, Multiply by 7, and Find the Side Length is the focus of the 15-minute fluency practice.

Most lessons contain a “Problem Set” which are questions and word problems that focus on the standards of the lesson. In Module 2, Lesson 17, Problem Set Problem 3 states, “Sadie, a bear at the zoo, weighs 182 kilograms. Her cub weighs 74 kilograms. Estimate the total weight of Sadie and her cub using whatever method you think best. What is the actual weight of Sadie and her cub? Model the problem with a tape diagram.” Students add and subtract within 1,000 using strategies and algorithms based on place value (3.NBT.2).

Most lessons contain an “Exit Ticket” that contains grade level problems that focus on the standards taught in the lesson. In Module 5, Lesson 15, Exit Ticket Question 2 states, “Partition the number line. Then, place each fraction on the number line: 3/6, 1/6, and ⅚.” Students demonstrate their understanding that a fraction is a number on the number line (3.NF.2).

The instructional materials for Eureka Grade 3 meet expectations that materials foster coherence through connections at a single grade, where appropriate and required by the standards.

Materials include learning objectives that are visibly shaped by CCSSM cluster headings. For example:

• In Module 1, Topic A: “Multiplication and the Meaning of the Factors” is visibly shaped by 3.OA.A, “Represent and solve problems involving multiplication and division.”
• In Module 4, Topic B: “Concepts of Area Measurement” is visibly shaped by 3.MD.C, “Geometric measurement: understand concepts of area and relate area to multiplication and to addition.”
• In Module 5, Topic B: “Unit Fractions and their Relation to the Whole” is visibly shaped by 3.NF.A, “Develop understanding of fractions as numbers.”

Materials include problems and activities that 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. For example:

• In Module 2, Lesson 11: 3.MD.A connects to 3.NBT.A when students use place value understanding to perform multi-digit arithmetic “A recipe requires 300 milliliters of milk. Sara decides to triple the recipe for dinner. How many milliliters of milk does she need to cook dinner?”
• In Module 2, Topic C: 3.MD.A connects to 3.NBT.A when students round two-digit measurements to the nearest ten on a vertical number line.
• In Module 3, Topic F: 3.OA.B connects to 3.NBT.A when students use place value strategies and the associative property to multiply by multiples of 10.
• In Module 5, Lesson 3: 3.G.A connects to 3.NF when students analyze a partitioned shape to find the fraction of the whole that is shaded. “Each shape is a whole divided into equal parts. Name the fractional unit, and then count and tell how many of those units are shaded. The first one is done for you.”
• In Module 7, Lesson 12: 3.MD.D connects to 3.G.A when students measure the sides of a newly created two-dimensional shape to find the perimeter of the shape. “Carson draws two triangles to create the new shape shown below. Use a ruler to find the side lengths of Carson’s shape in centimeters. Then, find the perimeter.”
• In Module 7, Topic D: 3.MD.B connects to 3.MD.D when students construct rectangles with given numbers of unit squares and/or side lengths in order to find the perimeter or area of the rectangles. The data from the constructed rectangles are then placed on a line plot.