This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Margie bought 3 apples that cost 50 cents each. She paid with a five-dollar bill. How much change did Margie receive?...

Students learn more about how muscles work and how biomedical engineers can help keep the muscular system healthy. Following the engineering design process, they create their own biomedical device to aid in the recovery of a strained bicep. They discover the importance of rest to muscle recovery and that muscles (just like engineers!) work together to achieve a common goal.

CSDE Model Curricula Quick Start GuideEquitable and Inclusive Curriculum  The CSDE believes in providing a set of conditions where learners are repositioned at the center of curricula planning and design. Curricula, from a culturally responsive perspective, require intentional planning for diversity, equity, and inclusion in the development of units and implementation of lessons. It is critical to develop a learning environment that is relevant to and reflective of students’ social, cultural, and linguistic experiences to effectively connect their culturally and community-based knowledge to the class. Begin by connecting what is known about students’ cognitive and interdisciplinary diversity to the learning of the unit. Opposed to starting instructional planning with gaps in students’ knowledge, plan from an asset-based perspective by starting from students’ strengths. In doing so, curricula’s implementation will be grounded in instruction that engages, motivates, and supports the intellectual capacity of all students.Course Description:  In Grade 4, instructional time should focus on three critical areas: (1) developing understanding and fluency with multi-digit multiplication, and developing understanding of dividing to find quotients involving multi-digit dividends; (2) developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers; (3) understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry. Upon completion of this course students will have the ability to: Use the four operations with whole numbers to solve problems; Gain familiarity with factors and multiples; Generate and analyze patterns; Generalize place value understanding for multi-digit whole numbers; Use place value understanding and properties of operations to perform multi-digit arithmetic; Extend understanding of fraction equivalence and ordering; Build fractions from unit fractions; Understand decimal notation for fractions, and compare decimal fractions; Solve problems involving measurement and conversion of measurements; Represent and interpret data; Geometric measurement: understand concepts of angle and measure angles; and Draw and identify lines and angles, and classify shapes by properties of their lines and angles. Aligned Core Resources:Core resources is a local control decision.  Ensuring alignment of resources to the standards is critical for success.  There are tools that are available to assist in evaluating alignment, such as CCSSO’s Mathematics Curriculum Analysis Project and Student Achievement Partner’s Instructional Materials Evaluation Tool.  In addition EdReports and Louisiana Believes are two sources of completed reviews for a variety of resources.  Connecticut is currently working on providing additional alignment guidance for the most frequently used resources across the state. Aligned Core Programs:  The CSDE in partnership with SERC has engaged with providers of high-quality vetted resources to provide additional alignment guidance to the CSDE model curriculum.  High-quality instructional resources are critical for improving student outcomes. The alignment guidance is intended to clarify content and support understanding for clear implementation and coherence. Materials selection is a local control decision and these documents have been provided from participating publishers to assist districts in implementation. Use of the materials from these publishers is not required. These aligned core programs meet expectations as reported by EdReports. If your resource is not listed below, you are encouraged to review EdReports to ensure the alignment of your resource to the Connecticut Core Standards. Strong alignment of curricula and instructional materials have the potential to support student engagement of meaningful grade level content daily and teacher growth.  Achievement First Math Grade 4enVisions Grade 4Eureka Grade 4Fishtank Plus Math Grade 4HMH into Math Grade 4Imagine Learning Illustrative Mathematics Grade 4i-Ready Math Grade 4Reveal Math Grade 4Financial Literacy Connections:The State of Connecticut is committed to implementing high-quality Financial Literacy instruction at all grade levels beginning in kindergarten. Financial Literacy supports students’ academic performance in several subject areas. The K-5 Model Math Curricula embeds tasks that align the mathematical content and skill to the essential Financial Literacy concepts such as income, spending, saving, investing, credit and risk.  The concepts contained in the learning tasks are designed to be rich, hands-on activities with developmentally appropriate real-world connections.  The tasks are identified by grade level and embedded in the appropriate units so that students can demonstrate mastery of what they need to know and be able to do by the end of their K-5 school experience. In this way, elementary students will be prepared to build upon Financial Literacy knowledge as they advance through middle and high school. Additional Course Information:  Major work of Grade 4 mathematics focuses on multiplication and division of whole numbers and fractions including concepts, skills, and problem solving. Fluencies expected for Grade 4 include:    Add/subtract within 1,000,000  Habits of Mind/SEIH/Transferable Skills Addressed in the Course: The Standards for Mathematical Practice describe the thinking processes, habits of mind, and dispositions that students need to develop a deep, flexible, and enduring understanding of mathematics. They describe student behaviors, ensure an understanding of math, and focus on developing reasoning and building mathematical communication. Therefore, the following should be addressed throughout the course: Make sense of problems & persevere in solving them Reason abstractly & quantitatively Construct viable arguments & critique the reasoning of others Model with mathematics Use appropriate tools strategically Attend to precision Look for & make use of structure Look for & express regularity in repeated reasoning 

The goal is for students to understand the basics of engineering that go into the design of a sneaker. The bottom or sole of a sneaker provides support, cushioning, and traction. In addition the sole is flexible and can have some fashion based functions such as cool colors and added height. The sneaker is a well-engineered product, utilizing a variety of materials to create a highly functional, useful shoe. This unit focuses on having the students select specific design requirements, such as good traction or lots of cushioning, and then select from a variety of materials to build a model shoe with the same design criteria.

Imagining themselves arriving at the Olympic gold medal soccer game in Beijing, students begin to think about how engineering is involved in sports. After a discussion of kinetic and potential energy, an associated hands-on activity gives students an opportunity to explore energy absorbing materials as they try to protect an egg from being crushed.

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.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

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.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

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.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Students use potatoes to light an LED clock (or light bulb) as they learn how a battery works in a simple circuit and how chemical energy changes to electrical energy. As they learn more about electrical energy, they better understand the concepts of voltage, current and resistance.

By making and testing simple balloon rockets, students acquire a basic understanding of Newton's third law of motion as it applies to rockets. Using balloons, string, straws and tape, they see how rockets are propelled by expelling gases, and test their rockets in horizontal and incline conditions. They also learn about the many types of engineers who design rockets and spacecraft.

Students are introduced to the concepts of graywater and water reuse within households. They calculate the amount of used water a family generates in one day and use a model of home plumbing to find out how much graywater is produced in homes every day. They graph their results and discuss energy efficiency implications. Students are then challenged to find ways to reduce water use within the home.

Students follow the steps of the engineering design process to create their own ear trumpet devices (used before modern-day hearing aids), including testing them with a set of reproducible sounds. They learn to recognize different pitches, and see how engineers must test designs and materials to achieve the best amplifying properties.