In this task, students can see that if the price level increases and peopleŐs incomes do not increase, they arenŐt able to purchase as many goods and services; in other words, their purchasing power decreases.
The purpose of this task is to foster a classroom discussion that will highlight the difference between multiplicative and additive reasoning.
The purpose of this task is to assess studentsŐ understanding of multiplicative and additive reasoning.
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
Unit Overview/Summary - FOCUS: This unit focusses on operations and algebraic thinking as well as number and operations in base ten. Learning in this unit will enable students to: Use the four operations with whole numbers to solve problems; and Use place value understanding and properties of operations to perform multi-digit arithmetic.
In this activity, students use a variety of materials to design and create headphones that absorb sound.
Students design and build model landfills using materials similar to those used by engineers for full-scale landfills. Their completed small-size landfills are "rained" on and subjected to other erosion processes. The goal is to create landfills that hold the most garbage, minimize the cost to build and keep trash and contaminated water inside the landfill to prevent it from causing environmental damage. Teams create designs within given budgets, test the landfills' performance, and graph and compare designs for capacity, cost and performance.
Students create a concept design of their very own net-zero energy classroom by pasting renewable energy and energy-efficiency items into and around a pretend classroom on a sheet of paper. They learn how these items (such as solar panels, efficient lights, computers, energy meters, etc.) interact to create a learning environment that produces as much energy as it uses.
Students begin by reading Dr. Seuss' "The Lorax" as an example of how overdevelopment can cause long-lasting environmental destruction. Students discuss how to balance the needs of the environment with the needs of human industry. Student teams are asked to serve as natural resource engineers, city planning engineers and civil engineers with the task to replant the nearly destroyed forest and develop a sustainable community design that can co-exist with the re-established natural area.
This hands-on activity explores five different forms of erosion (chemical, water, wind, glacier and temperature). Students rotate through stations and model each type of erosion on rocks, soils and minerals. The students record their observations and discuss the effects of erosion on the Earth's landscape. Students learn about how engineers are involved in the protection of landscapes and structures from erosion. Math problems are included to help students think about the effects of erosion in real-world scenarios.
In this 25-day module of Grade 4, students extend their work with whole numbers. They begin with large numbers using familiar units (hundreds and thousands) and develop their understanding of millions by building knowledge of the pattern of times ten in the base ten system on the place value chart (4.NBT.1). They recognize that each sequence of three digits is read as hundreds, tens, and ones followed by the naming of the corresponding base thousand unit (thousand, million, billion).
**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 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.
**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 explore materials engineering by modifying the material properties of water. Specifically, they use salt to lower the freezing point of water and test it by making ice cream. Using either a simple thermometer or a mechatronic temperature sensor, students learn about the lower temperature limit at which liquid water can exist such that even if placed in contact with a material much colder than 0 degrees Celsius, liquid water does not get colder than 0 °C. This provides students with an example of how materials can be modified (engineered) to change their equilibrium properties. They observe that when mixed with salt, liquid water's lower temperature limit can be dropped. Using salt-ice mixtures to cool the ice cream mixes to temperatures lower than 0 °C works better than ice alone.
Students investigate how mountains are formed. Concepts include the composition and structure of the Earth's tectonic plates and tectonic plate boundaries, with an emphasis on plate convergence as it relates to mountain formation. Students learn that geotechnical engineers design technologies to measure movement of tectonic plates and mountain formation, as well as design to alter the mountain environment to create safe and dependable roadways and tunnels.
Students explore the concept of "reducing" solid waste and how it relates to product packaging and engineering advancements in packaging materials. They read about and evaluate the highly publicized packaging decisions of two major U.S. corporations. Then they evaluate different ways to package items in order to minimize the environmental impact, while considering issues such as cost, availability, product attractiveness, etc. In addition, students explore "hydropulping" and consider its use as a recycling process.
In this activity, students filter different substances through a plastic window screen, different sized hardware cloth and poultry netting. Their model shows how the thickness of a filter in the kidney is imperative in deciding what will be filtered out and what will stay within the blood stream.
The purpose of the task is for students to solve a multi-step multiplication problem in a context that involves area. In addition, the numbers were chosen to determine if students have a common misconception related to multiplication.
Students explore the outermost planets of our solar system: Saturn, Uranus and Neptune. They also learn about characteristics of Pluto and its interactions with Neptune. Students learn a little about the history of space travel as well as the different technologies that engineers develop to make space travel and scientific discovery possible.
The difference between an architect and an engineer is sometimes confusing because their roles in building design can be similar. Students experience a bit of both professions by following a set of requirements and meeting given constraints as they create a model parking garage. They experience the engineering design process first-hand as they design, build and test their models. They draw a blueprint for their design, select the construction materials and budget their expenditures. They also test their structures for strength and find their maximum loads.