Module 2 uses length, mass and capacity in the metric system to …
Module 2 uses length, mass and capacity in the metric system to convert between units using place value knowledge. Students recognize patterns of converting units on the place value chart, just as 1000 grams is equal 1 kilogram, 1000 ones is equal to 1 thousand. Conversions are recorded in two-column tables and number lines, and are applied in single- and multi-step word problems solved by the addition and subtraction algorithm or a special strategy. Mixed unit practice prepares students for multi-digit operations and manipulating fractional units in future modules.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this 43-day module, students use place value understanding and visual representations …
In this 43-day module, students use place value understanding and visual representations to solve multiplication and division problems with multi-digit numbers. As a key area of focus for Grade 4, this module moves slowly but comprehensively to develop students ability to reason about the methods and models chosen to solve problems with multi-digit factors and dividends.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
This 20-day module introduces points, lines, line segments, rays, and angles, as …
This 20-day module introduces points, lines, line segments, rays, and angles, as well as the relationships between them. Students construct, recognize, and define these geometric objects before using their new knowledge and understanding to classify figures and solve problems. With angle measure playing a key role in their work throughout the module, students learn how to create and measure angles, as well as create and solve equations to find unknown angle measures. In these problems, where the unknown angle is represented by a letter, students explore both measuring the unknown angle with a protractor and reasoning through the solving of an equation. Through decomposition and composition activities as well as an exploration of symmetry, students recognize specific attributes present in two-dimensional figures. They further develop their understanding of these attributes as they classify two-dimensional figures based on them.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this 40-day module, students build on their Grade 3 work with …
In this 40-day module, students build on their Grade 3 work with unit fractions as they explore fraction equivalence and extend this understanding to mixed numbers. This leads to the comparison of fractions and mixed numbers and the representation of both in a variety of models. Benchmark fractions play an important part in students ability to generalize and reason about relative fraction and mixed number sizes. Students then have the opportunity to apply what they know to be true for whole number operations to the new concepts of fraction and mixed number operations.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
This 20-day module gives students their first opportunity to explore decimal numbers …
This 20-day module gives students their first opportunity to explore decimal numbers via their relationship to decimal fractions, expressing a given quantity in both fraction and decimal forms. Utilizing the understanding of fractions developed throughout Module 5, students apply the same reasoning to decimal numbers, building a solid foundation for Grade 5 work with decimal operations.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this 20-day module, students build their competencies in measurement as they …
In this 20-day module, students build their competencies in measurement as they relate multiplication to the conversion of measurement units. Throughout the module, students will explore multiple strategies for solving measurement problems involving unit conversion.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this eight-week module, students learn about new or improved technologies that …
In this eight-week module, students learn about new or improved technologies that have been developed to meet societal needs and how those inventions have changed people’s lives. They conduct authentic research to build their own knowledge and teach others through writing. In Unit 1, students read the graphic novel Investigating the Scientific Method with Max Axiom, Super Scientist by Donald B. Lemke as well as several informational articles about inventions that have been developed to meet people’s needs. Students learn about and analyze structures and visual elements authors use to convey complex ideas. Then, they will write a short opinion paragraph about which of the inventions they learned about has been most important to people and why. In Unit 2, students will read The Boy Who Invented TV: The Story of Philo Farnsworth by Kathleen Krull, focusing on how the television was invented to meet societal needs.
Find the rest of the EngageNY ELA resources at https://archive.org/details/engageny-ela-archive .
In this module, students explore how native Inuit and other people of …
In this module, students explore how native Inuit and other people of Canada have used the natural resources available to meet their needs. In Unit 1, students read The Inuit Thought of It: Amazing Arctic Innovations, by Alootook Ipellie with David MacDonald, to learn about how the native Inuit people of Canada used natural resources in the Arctic to adapt and meet the needs of their community hundreds of years ago. In Unit 2, students read and view a variety of informational texts and media, including graphs, charts, and maps, to examine how the resources available in Canada today are used to develop products that meet the needs and wants of people in Canada and throughout the Western Hemisphere.
Find the rest of the EngageNY ELA resources at https://archive.org/details/engageny-ela-archive .
This module engages students in a high-interest topic—natural disasters—with a literacy focus …
This module engages students in a high-interest topic—natural disasters—with a literacy focus on point of view in literature, research, opinion writing, and public speaking. The module integrates science content (about extreme natural events) with a Social Studies focus on the Western Hemisphere and the role of multinational organizations.
Find the rest of the EngageNY ELA resources at https://archive.org/details/engageny-ela-archive .
In Module 1, students’ understanding of the patterns in the base ten …
In Module 1, students’ understanding of the patterns in the base ten system are extended from Grade 4’s work with place value of multi-digit whole numbers and decimals to hundredths to the thousandths place. In Grade 5, students deepen their knowledge through a more generalized understanding of the relationships between and among adjacent places on the place value chart, e.g., 1 tenth times any digit on the place value chart moves it one place value to the right. Toward the module’s end students apply these new understandings as they reason about and perform decimal operations through the hundredths place.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In Module 2 students apply patterns of the base ten system to …
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.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In Module 3, students' understanding of addition and subtraction of fractions extends …
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.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Grade 5s Module 4 extends student understanding of fraction operations to multiplication …
Grade 5s 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.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this 25-day module, students work with two- and three-dimensional figures. Volume …
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 4s work with two-dimensional figures and Grade 6s work with volume and area.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this 40-day module, students develop a coordinate system for the first …
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 planes 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.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this module, students are involved in a deep study of mythology, …
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.
Find the rest of the EngageNY ELA resources at https://archive.org/details/engageny-ela-archive .
What are “rules to live by”? How do people formulate and use …
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.
Find the rest of the EngageNY ELA resources at https://archive.org/details/engageny-ela-archive .
In this eight-week module, students explore the idea of adversity of people …
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.
Find the rest of the EngageNY ELA resources at https://archive.org/details/engageny-ela-archive .
In this module, students are involved in a study of how an …
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.
Find the rest of the EngageNY ELA resources at https://archive.org/details/engageny-ela-archive .
In this module, students study how an author develops point of view …
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.
Find the rest of the EngageNY ELA resources at https://archive.org/details/engageny-ela-archive .
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