In Module 2 students apply patterns of the base ten system  to mental strategies and a sequential study of multiplication via area diagrams and the distributive property leading to fluency with the standard algorithm.  Students move from whole numbers to multiplication with decimals, again using place value as a guide to reason and make estimations about products. Multiplication is explored as a method for expressing equivalent measures in both whole number and decimal forms.  A similar sequence for division begins concretely with number disks as an introduction to division with multi-digit divisors and leads student to divide multi-digit whole number and decimal dividends by two-digit divisors using a vertical written method.  In addition, students evaluate and write expressions, recording their calculations using the associative property and parentheses.  Students apply the work of the module to solve multi-step word problems using multi-digit multiplication and division with unknowns representing either the group size or number of groups.  An emphasis on the reasonableness of both products and quotients, interpretation of remainders and reasoning about the placement of decimals draws on skills learned throughout the module, including refining knowledge of place value, rounding, and estimation.

In Module 3, students' understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals. This module marks a significant shift away from the elementary grades' centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward, especially as applied to algebra.

Grade 5’s Module 4 extends student understanding of fraction operations to multiplication and division of both fractions and decimal fractions.  Work proceeds from interpretation of line plots which include fractional measurements to interpreting fractions as division and reasoning about finding fractions of sets through fraction by whole number multiplication.  The module proceeds to fraction by fraction multiplication in both fraction and decimal forms.  An understanding of multiplication as scaling and multiplication by n/n as multiplication by 1 allows students to reason about products and convert fractions to decimals and vice versa.  Students are introduced to the work of division with fractions and decimal fractions.  Division cases are limited to division of whole numbers by unit fractions and unit fractions by whole numbers.  Decimal fraction divisors are introduced and equivalent fraction and place value thinking allow student to reason about the size of quotients, calculate quotients and sensibly place decimals in quotients.  Throughout the module students are asked to reason about these important concepts by interpreting numerical expressions which include fraction and decimal operations and by persevering in solving real-world, multistep problems which include all fraction operations supported by the use of tape diagrams.

In this 25-day module, students work with two- and three-dimensional figures.  Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms.  The second half of the module turns to extending students’ understanding of two-dimensional figures.  Students combine prior knowledge of area with newly acquired knowledge of fraction multiplication to determine the area of rectangular figures with fractional side lengths.  They then engage in hands-on construction of two-dimensional shapes, developing a foundation for classifying the shapes by reasoning about their attributes.  This module fills a gap between Grade 4’s work with two-dimensional figures and Grade 6’s work with volume and area.

In this 40-day module, students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems.  Students use the familiar number line as an introduction to the idea of a coordinate, and they construct two perpendicular number lines to create a coordinate system on the plane.  Students see that just as points on the line can be located by their distance from 0, the plane’s coordinate system can be used to locate and plot points using two coordinates.  They then use the coordinate system to explore relationships between points, ordered pairs, patterns, lines and, more abstractly, the rules that generate them.  This study culminates in an exploration of the coordinate plane in real world applications.

In this module, students are involved in a deep study of mythology, its purposes, and elements. Students will read Rick Riordan’s The Lightning Thief (780L), a high-interest novel about a sixth-grade boy on a hero’s journey. Some students may be familiar with this popular fantasy book; in this module, students will read with a focus on the archetypal journey and close reading of the many mythical allusions. As they begin the novel, students also will read a complex informational text that explains the archetypal storyline of the hero’s journey which has been repeated in literature throughout the centuries. Through the close reading of literary and informational texts, students will learn multiple strategies for acquiring and using academic vocabulary. Students will also build routines and expectations of discussion as they work in small groups. At the end of Unit 1, having read half of the novel, students will explain, with text-based evidence, how Percy is an archetypal hero. In Unit 2, students will continue reading The Lightning Thief (more independently): in class, they will focus on the novel’s many allusions to classic myths; those allusions will serve as an entry point into a deeper study of Greek mythology. They also will continue to build their informational reading skills through the close reading of texts about the close reading of texts about the elements of myths. This will create a conceptual framework to support students’ reading of mythology. As a whole class, students will closely read several complex Greek myths. They then will work in small groups to build expertise on one of those myths. In Unit 3, students shift their focus to narrative writing skills. This series of writing lessons will scaffold students to their final performance task in which they will apply their knowledge about the hero’s journey and the elements of mythology to create their own hero’s journey stories.

What are “rules to live by”? How do people formulate and use “rules” to improve their lives? How do people communicate these “rules” to others? In this module, students consider these questions as they read the novel Bud, Not Buddy, Steve Jobs’ 2005 commencement address at Stanford University, President Barack Obama’s Back-to-School Speech, “If” by Rudyard Kipling, and informational research texts. At the start of Unit 1, students launch their study of Bud, Not Buddy, establishing a set of routines for thinking, writing, and talking about Bud’s rules to live by. They read the novel closely for its figurative language and word choice, analyzing how these affect the tone and meaning of the text. In the second half of the unit, students engage in a close reading of the Steve Jobs speech, focusing on how Jobs develops his ideas at the paragraph, sentence, and word level. Students use details from the speech to develop claims about a larger theme. During Unit 2, students continue to explore the theme of “rules to live by” in the novel as well as through close reading of the poem “If” by Rudyard Kipling. Students analyze how the structure of a poem contributes to its meaning and theme. In a mid-unit assessment, students compare and contrast how Bud, Not Buddy and “If” address a similar theme. Unit 2 culminates with students writing a literary argument essay in which they establish a claim about how Bud uses his “rules”: to survive or to thrive. Students substantiate their claim using specific text-based evidence including relevant details and direct quotations from the novel. In Unit 3, students shift their focus to their own rules to live by and conduct a short research project. Students work in expert groups (research teams) to use multiple informational sources to research that topic. As a final performance task, students use their research to write an essay to inform about one important “rule to live by” supported with facts, definitions, concrete details, quotations, and examples.

In this eight-week module, students explore the idea of adversity of people across time and place, and through multiple modes of writing. Students begin this module with a research-based unit on the Middle Ages. They read informational articles about various aspects of medieval life, learning and practicing the skills of summarizing an article, analyzing how ideas are developed across a text, and describing how a part of a text contributes to the whole. Students then break into expert groups to read closely about one demographic group. They practice the informational reading skills they have learned and explore the adversities faced by that group. In the second half of Unit 1, students write an informational essay based on their research as their end of unit assessment. In Unit 2, students use their background knowledge built during Unit 1, but move to reading literature: Good Masters! Sweet Ladies! Voices from a Medieval Village. This is a book of monologues told from the perspective of children living in the same village during the Middle Ages. Students have dual tasks: First, they identify the various adversities faced by this cast of characters; secondly, they examine the author’s craft, specifically by identifying and interpreting figurative language in the monologues as well as analyzing how word choices affect the tone of the text. In the second half of Unit 2, students write a literary argument to address the question “Do we struggle with the same adversities as the people of Good Masters! Sweet Ladies!?” In Unit 3, students move into modern voices of adversity by reading concrete poems in the books Blue Lipstick and Technically, It’s Not My Fault. These concrete poems highlight adversities faced by the speakers of the poems, an adolescent girl and her younger brother. Students apply the same reading skills they learned in the reading of Unit 2, but this unit is discussion-based, allowing teachers to assess students’ speaking and listening skills in small group discussions about the texts. For their performance task, students choose a writing format—narrative, like the monologues of Good Masters! Sweet Ladies!, or concrete poem—and write their own text about adversities faced by sixth-graders. Students then perform their writing for a group of their peers.

In this module, students are involved in a study of how an author develops point of view and how an author’s perspective, based on his or her culture, is evident in his or her writing.

In this module, students study how an author develops point of view and how an author’s perspective, based on his or her geographic location, is evident in his or her writing. Students consider point of view as they learn about ocean conservation and the impact of human activities on life in the oceans. Through close reading, students will learn multiple strategies for acquiring and using academic vocabulary.

In order to assist educators with the implementation of the Common Core, the New York State Education Department provides curricular modules in P-12 English Language Arts and Mathematics that schools and districts can adopt or adapt for local purposes. The full year of Grade 6 Mathematics curriculum is available from the module links

Students begin their sixth grade year investigating the concepts of ratio and rate. They use multiple forms of ratio language and ratio notation, and formalize understanding of equivalent ratios. Students apply reasoning when solving collections of ratio problems in real world contexts using various tools (e.g., tape diagrams, double number line diagrams, tables, equations and graphs). Students bridge their understanding of ratios to the value of a ratio, and then to rate and unit rate, discovering that a percent of a quantity is a rate per 100. The 35 day module concludes with students expressing a fraction as a percent and finding a percent of a quantity in real world concepts, supporting their reasoning with familiar representations they used previously in the module.

In Module 1, students used their existing understanding of multiplication and division as they began their study of ratios and rates.  In Module 2, students complete their understanding of the four operations as they study division of whole numbers, division by a fraction and operations on multi-digit decimals.  This expanded understanding serves to complete their study of the four operations with positive rational numbers, thereby preparing students for understanding, locating, and ordering negative rational numbers (Module 3) and algebraic expressions (Module 4).

Students are familiar with the number line and determining the location of positive fractions, decimals, and whole numbers from previous grades. Students extend the number line (both horizontally and vertically) in Module 3 to include the opposites of whole numbers. The number line serves as a model to relate integers and other rational numbers to statements of order in real-world contexts. In this module's final topic, the number line model is extended to two-dimensions, as students use the coordinate plane to model and solve real-world problems involving rational numbers.

In Module 4, Expressions and Equations, students extend their arithmetic work to include using letters to represent numbers in order to understand that letters are simply "stand-ins" for numbers and that arithmetic is carried out exactly as it is with numbers. Students explore operations in terms of verbal expressions and determine that arithmetic properties hold true with expressions because nothing has changed—they are still doing arithmetic with numbers. Students determine that letters are used to represent specific but unknown numbers and are used to make statements or identities that are true for all numbers or a range of numbers. They understand the relationships of operations and use them to generate equivalent expressions, ultimately extending arithmetic properties from manipulating numbers to manipulating expressions. Students read, write and evaluate expressions in order to develop and evaluate formulas. From there, they move to the study of true and false number sentences, where students conclude that solving an equation is the process of determining the number(s) that, when substituted for the variable, result in a true sentence. They conclude the module using arithmetic properties, identities, bar models, and finally algebra to solve one-step, two-step, and multi-step equations.

In this module, students utilize their previous experiences in order to understand and develop formulas for area, volume, and surface area.  Students use composition and decomposition to determine the area of triangles, quadrilaterals, and other polygons.  Extending skills from Module 3 where they used coordinates and absolute value to find distances between points on a coordinate plane, students determine distance, perimeter, and area on the coordinate plane in real-world contexts.  Next in the module comes real-life application of the volume formula where students extend the notion that volume is additive and find the volume of composite solid figures.  They apply volume formulas and use their previous experience with solving equations to find missing volumes and missing dimensions.  The final topic includes deconstructing the faces of solid figures to determine surface area.  To wrap up the module, students apply the surface area formula to real-life contexts and distinguish between the need to find surface area or volume within contextual situations.

In this module, students move from simply representing data into analysis of data.  Students begin to think and reason statistically, first by recognizing a statistical question as one that can be answered by collecting data.  Students learn that the data collected to answer a statistical question has a distribution that is often summarized in terms of center, variability, and shape.  Throughout the module, students see and represent data distributions using dot plots and histograms.  They study quantitative ways to summarize numerical data sets in relation to their context and to the shape of the distribution.  As the module ends, students synthesize what they have learned as they connect the graphical, verbal, and numerical summaries to each other within situational contexts, culminating with a major project.

In this 8 eight-week module, students explore the experiences of people of Southern Sudan during and after the Second Sudanese Civil War. They build proficiency in using textual evidence to support ideas in their writing, both in shorter responses and in an extended essay. In Unit 1, students begin the novel A Long Walk to Water (720L) by Linda Sue Park. Students will read closely to practice citing evidence and drawing inferences from this compelling text as they begin to analyze and contrast the points of view of the two central characters, Salva and Nya. They also will read informational text to gather evidence on the perspectives of the Dinka and Nuer tribes of Southern Sudan. In Unit 2, students will read the remainder of the novel, focusing on the commonalities between Salva and Nya in relation to the novel’s theme: how individuals survive in challenging environments. (The main characters’ journeys are fraught with challenges imposed by the environment, including the lack of safe drinking water, threats posed by animals, and the constant scarcity of food. They are also challenged by political and social environments.). As in Unit 1, students will read this literature closely alongside complex informational texts (focusing on background on Sudan and factual accounts of the experiences of refugees from the Second Sudanese Civil War). Unit 2 culminates with a literary analysis essay about the theme of survival. Unit 3 brings students back to a deep exploration of character and point of view: students will combine their research about Sudan with specific quotes from A Long Walk to Water as they craft a two-voice poem, comparing and contrasting the points of view of the two main characters, Salva and Nya,. The two-voice poem gives students an opportunity to use both their analysis of the characters and theme in the novel and their research about the experiences of the people of Southern Sudan during the Second Sudanese Civil War.

In this module, students explore the issue of working conditions, both historical and modern day. As they read and discuss both literary and informational text, students analyze how people, settings, and events interact in a text and how an author develops a central claim. Students strengthen their ability to discuss specific passages from a text with a partner, write extended text-based argument and informational pieces, and conduct a short research project. At the end of the module, students will have a better understanding of how working conditions affect workers and the role that workers, the government, consumers, and businesses play in improving working conditions. The first unit focuses on Lyddie, a novel that tells the story of a young girl who goes to work in the Lowell mills, and explores the issue of working conditions in industrializing America. This unit builds students’ background knowledge about working conditions and how they affect workers, and centers on the standard RL.7.3, which is about how plot, character, and setting interact in literature. As an end of unit assessment, students write an argument essay about Lyddie’s choices regarding her participation in the protest over working conditions. The second unit moves to more recent history and considers the role that workers, the government, and consumers all play in improving working conditions. The central text in Unit 2 is a speech by César Chávez, in which he explains how the United Farm Workers empowered farmworkers. Unit 2 focuses on reading informational text, and students practice identifying central ideas in a text, analyzing how an author develops his claims, and identifying how the sections of the text combine to build those ideas. This unit intentionally builds on Odell Education’s work, and if teachers have already used the Chávez speech and lessons, an alternate text is suggested with which to teach the same informational text standards. In the End of Unit 2 Assessment, students apply their understanding of text structure to a new speech. Unit 3 focuses on the research standards (W.7.7 and W.7.8): through an investigation of working conditions in the modern day garment industry, students explore how businesses can affect working conditions, both positively and negatively. As a final performance task, students create a consumer’s guide to working conditions in the garment industry. This teenage consumer’s guide provides an overview of working conditions and offers advice to consumers who are interested in working conditions in the garment industry.

In this module, students explore the concept of personal identity formation and transformation in both historical and modern-day societies. The module begins with an overview of what “identity” means and how it can mean different things to different people. In Unit 1, students read first-person narratives that focus on various social identifiers—from race to gender to socioeconomic status—as they begin to frame their understanding of what identity means. Students read informational text, identifying central ideas, analyzing how an author develops his or her claims, and identifying how the sections of the text interact to form those ideas.