7th Grade - Gateway 1

The instructional materials reviewed for Eureka Grade 7 meet expectations that they assess grade-level content. Each Eureka Module includes one or more assessments that hold students accountable for Grade 7 content. These assessments are the Mid-Module and End-of-Module assessments. Examples of the assessments include:

• In Module 1, Mid-Module Assessment: Students use a table to analyze a proportional relationship (7.RP.2a). Question 1 states, “Josiah and Tillery have new jobs at YumYum’s Ice Cream Parlor. Josiah is Tillery’s manager. In their first year, Josiah will be paid $14 per hour, and Tillery will be paid $7 per hour. They have been told that after every year with the company, they will each be given a raise of $2 per hour. Is the relationship between Josiah’s pay and Tillery’s pay rate proportional? Explain your reasoning using a table.”
• In Module 2, End-of-Module Assessment: Students determine if a number, when written in decimal form, would be a repeating decimal or a terminating decimal. The students justify their answer using long division (7.NS.2d). Question 1c states, “The water level in Ricky Lake changes at an average of -7/16 inch every 3 years. 1c. When written in decimal form, is your answer to part (b) a repeating decimal or a terminating decimal? Justify your answer using long division.”
• In Module 3, End-of-Module Assessment: Students use their knowledge of supplementary angles to solve equations (7.EE.4a). Questions 5b states, “Marcus drew two adjacent angles. If the measure of angle CBD is 9(8x + 11) degrees, then what is the value of x?”
• In Module 4, End-of-Module Assessment: Students solve a multi-step percent and ratio problem (7.RP.3). Question 1 states, “Kara works at a fine jewelry store and earns commission on her total sales for the week. Her weekly paycheck was in the amount of $6,500, including her salary of $1,000. Her sales for the week totaled $45,000. Express her rate of commission as a percent, rounded to the nearest whole number.”

The instructional materials reviewed for Eureka Grade 7 meet expectations for spending a majority of instructional time on major work of the grade. This includes all clusters within the domains 7.RP, 7.NS and 7.EE.

• 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 six modules, Modules 1, 2, and 4 focus on major work. Module 3 contains lessons related to the major work.
• Of the 180 days, 145 days (81 percent) are spent on major clusters of the grade.

The instructional materials reviewed for Eureka Grade 7 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 3, Lesson 10: 7.G.5 supports the major work of 7.EE. Students find the measure of angles using an expression with multiple steps.
• In Module 3, Lesson 11: 7.G.5 supports the major work of 7.EE.4. Students write an equation for the angle relationship and then solve for the angle measure.
• In Module 3, Lessons 19-26: 7.G.6 supports the major work of 7.EE.2. Students use properties of operations to generate equivalent expressions as they solve area and volume problems using numerical and algebraic expressions and equations.
• In Module 5, Lessons 5-7: 7.EE.3 supports the major work of 7.SP.6-8. Students apply properties of operations to calculate probabilities with numbers in fraction, decimal and percent form, converting between forms as appropriate.
• In Module 6, Lessons 20-27: 7.G.6 supports the major work of 7.EE.3-4. Students solve real-world area and volume problems using numerical and algebraic expressions and equations.

Instructional materials for Eureka Grade 7 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 six modules. Instruction and assessment days are included in the following count:

• Module 1: 30 days
• Module 2: 30 days
• Module 3: 35 days
• Module 4: 25 days
• Module 5: 25 days
• Module 6: 35 days

All lessons are paced to be 45 minutes in length. Information on how to customize lessons is included in the Preparing To Teach a Lesson section.

The instructional materials for Eureka Grade 7 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 7 standards by explicitly stating connections to prior or future grades. For example:

• Module 5, Statistics and Probability: “In this module, students begin their study of probability, learning how to interpret probabilities and how to compute probabilities in simple settings. They also learn how to estimate probabilities empirically. The concept of probability provides a foundation for the thinking required to make inferential reasoning that is developed in the second half of this module. Additionally, students build on their knowledge of data distributions that they studied in Grade 6, compare data distributions of two or more populations, and are introduced to the idea of drawing informal inferences based on data collected from random samples.”

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 7 standards that are covered 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 6 or from previous Grade 7 work are included for each module. An example from Module 1 is:

• Geometry 6.G.1 | 6.G.3
• Ratios and Proportional Relationships 6.RP.1 | 6.RP.2 | 6.RP.3 | 6.RP.3.a |6.RP.3.b | 6.RP.3.c | 6.RP.3.d
• Solve real-world and mathematical problems involving area, surface area and volume 6.G.1 | 6.G.3
• Understand ratio concepts and use ratio reasoning to solve problems 6.RP.1 | 6.RP.2 | 6.RP.3 | 6.RP.3.a | 6.RP.3.b | 6.RP.3.c | 6.RP.3.d

The instructional materials for Eureka Grade 7 materials do not contain content from future grade levels. In places where the content might be confused with that of a future grade, explanations are provided, such as the one found in the Topic Overview of Module 6, Topic B (page 56): “In Lessons 9–10, students explore the conditions that determine a unique triangle. Note that the discussion regarding the conditions that determine a unique triangle is distinct from the discussion regarding whether two figures are congruent, which requires a study of rigid motions (Grade 8, Module 2). However, the study of what constitutes uniqueness is inextricably linked to the notion of identical figures.”

The instructional materials attend to the full intent of the grade-level standards by giving all students extensive work with grade-level problems. Most lessons contain a “Problem Set” which includes questions and word problems that focus on the standards of the lesson. In Module 4, Lesson 4, Problem Set Question 2 states, “An item that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.” Students use proportional relationships to solve multi-step ratio and percent problems (7.RP.3).

Most lessons contain an “Exit Ticket” with grade-level problems that focus on the standards taught in the lesson. In Module 1, Lesson 5, Exit Ticket Question 1 states, “The following table gives the number of people picking strawberries in a field and the corresponding number of hours that those people worked picking strawberries. Graph the ordered pairs from the table. Does the graph represent two quantities that are proportional to each other? Explain why or why not.” Students identify proportional relationships in various situations such as in tables and graphs (7.RP.2a).

The instructional materials for Eureka Grade 7 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: “Proportional Relationships” is visibly shaped by 7.RP.A, “Analyze proportional relationships and use them to solve real-world and mathematical problems.”
• In Module 3, Topic B: “Solve Problems using Expression, Equations, and Inequalities” is visibly shaped by 7.EE.B, “Solve real-life and mathematical problems using numerical and algebraic expressions and equations.”

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 1, Lesson 8: 7.RP.A connects to 7.EE. Students use their knowledge of constant of proportionality to write equations.
• In Module 1, Lesson 16: 7.RP.A connects to 7.G.A. Students use understanding of ratios to complete scale drawings.
• In Module 1, Lesson 18: 7.RP.2b connects to 7.G.1 as students apply their understanding of proportional relationships to “find the relationship between the lengths in the scale drawing of a shopping mall and the corresponding actual lengths, and use this relationship to calculate the width of the actual mall entrances” to determine if backdrop panels measuring 10 feet by 10 feet will fit through the entrance.
• In Module 3, Lesson 6, Exercise 1: 7.NS.1 connects to 7.EE.1 as students use knowledge of operations with rational numbers to collect like terms with rational-number coefficients.
• In Module 3, Lesson 10: 7.G.A connects to 7.EE. Students use knowledge of angles to write equations to solve for future angles.
• In Module 4, Topic B: 7.RP.3 connects to 7.EE.3 as students create algebraic representations and apply their understanding of percent to interpret and solve multi-step word problems related to markups or markdowns, simple interest, sales tax, commissions, fees and percent error.