Unit Overview/Summary - FOCUS: This unit focuses on Ratios and Proportional Relationships and Expressions and Geometry. Learning this unit will enable students to: Analyze proportional relationships and use them to solve real-world and mathematical problems; and Draw, construct, and describe geometrical figures and describe the relationships between them. 

Unit Overview/Summary - FOCUS: This unit focuses on Geometry. Learning this unit will enable students to: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume; and Draw, construct, and describe geometrical figures and describe the relationships between them. 

Unit Overview/Summary - FOCUS: This unit focuses on Geometry. Learning this unit will enable students to: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume; and Draw, construct, and describe geometrical figures and describe the relationships between them. 

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 8, insructional time should focus on three critical areas: (1) formulating and resoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3)  analyzing two-and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem. Upon completion of this course students will have the ability to:Know that there are numbers that are not rational, and approximate them by rational numbers;Work with radicals and integer exponents in expressions and equations;Understand the connections between proportional relationships, lines, and linear equations;Define, evaluate, and compare functions;Use functions to model relationships between quantities;Understand congruence and similarity using physical models, transparencies, or geometry software;Undestand and apply the Phthagorean Theorem;Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres; Aligned Core Resources:  It is critical that curriculum be implemented using high quality instructional materials to ensure all students meet Connecticut’s standards. Ensuring alignment of resources to the standards is critical for success. There are tools that are available to districts to assist in evaluating alignment of resources, such as CCSSO’s Mathematics Curriculum Analysis Project and Student Achievement Partner’s Instructional Materials Evaluation Tool.   In addition, there exist compilations of completed reviews from a variety of resources. Some of these include but are not limited to EdReports, Louisiana Believes, CURATE, and Oregon Adopted Instructional Materials.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.  Carnegie Learning Math Grade 8EdGems Math Grade 8enVisions Grade 8Eureka Math Grade 8Fishtank Plus Math Grade 8HMH Into Math Grade 8Imagine Learning Illustrative Mathematics Grade 8i-Ready Math Grade 8MidSchoolMath Grade 8Open Up Resouces Math Grade 8Reveal Math Grade 8Additional Course Information:  Major work of Grade 8 mathematics focuses on linear equations and linear functionsHabits 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 focuses on the Geometry domain.  Learning this unit will enable students to: Understand congruence and similarity using physical models, transparencies, or geometry software. 

Unit Overview/Summary - FOCUS: This unit focuses on the Geometry domain.  Learning this unit will enable students to: Understand congruence and similarity using physical models, transparencies, or geometry software. 

Unit Overview/Summary - FOCUS: This unit focuses on the Expressions and Equations and Functions domain.  Learning this unit will enable students to: Understand the connections between proportional relationships, lines, and linear equations. Analyze and solve linear equations  Define, evaluate, and compare functions. Use functions to model relationships between quantities. 

Unit Overview/Summary - FOCUS: This unit focuses on the Expressions and Equations and Functions domain.  Learning this unit will enable students to: Understand the connections between proportional relationships, lines, and linear equations. Analyze and solve linear equations  Define, evaluate, and compare functions. Use functions to model relationships between quantities. 

Unit Overview/Summary - FOCUS: This unit focuses on the Statistics and Probability domain.  Learning this unit will enable students to: Investigate patterns of association in bivariate data. 

Unit Overview/Summary - FOCUS: This unit focuses on the Statistics and Probability domain.  Learning this unit will enable students to: Investigate patterns of association in bivariate data. 

Unit Overview/Summary - FOCUS: This unit focuses on Geometry.  Learning this unit will enable students to: Understand and apply the Pythagorean Theorem; and Work with radicals and integer exponents.   

Unit Overview/Summary - FOCUS: This unit focuses on Geometry.  Learning this unit will enable students to: Understand and apply the Pythagorean Theorem; and Work with radicals and integer exponents. 

Unit Overview/Summary - FOCUS: This unit focuses on Number Systems and Expressions and Equations. Learning this unit will enable students to: Know that there are numbers that are not rational, and approximate them by rational numbers; and Work with radicals and integer exponents. 

Unit Overview/Summary - FOCUS: This unit focuses on Number Systems and Expressions and Equations. Learning this unit will enable students to: Know that there are numbers that are not rational, and approximate them by rational numbers; and Work with radicals and integer exponents. 

Unit Overview/Summary - FOCUS: This unit focuses on the Expressions and Equations and Functions domain.  Learning this unit will enable students to: Analyze and solve linear equations and pairs of simultaneous linear equations.  Use functions to model relationships between quantities. 

Unit Overview/Summary - FOCUS: This unit focuses on the Expressions and Equations and Functions domain.  Learning this unit will enable students to: Analyze and solve linear equations and pairs of simultaneous linear equations.  Use functions to model relationships between quantities. 

Unit Overview/Summary - FOCUS:  This unit focuses on the Geometry domain.  Learning this unit will enable students to: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres. 

Unit Overview/Summary - FOCUS:  This unit focuses on the Geometry domain.  Learning this unit will enable students to: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres. 

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: Three-Dimensional Learning shifts the focus of the science classroom to environments where students use disciplinary core ideas, crosscutting concepts with scientific practices to explore, examine, and explain how and why phenomena occur and to design solutions to problems. Three-dimensional learning helps students build their research, communication, and analytical thinking skills.More informational regarding Three-Dimensional learning can be accessed at the following address:What exactly IS three-dimensional learning? | Teaching ChannelEach year, students in Connecticut should be able to demonstrate greater capacity for connecting knowledge across, and between, the physical sciences, life sciences, earth and space sciences, and engineering design. The kindergarten year is unique as it is the formal beginning of NGSS learning pedagogy. However, CSDE has aligned our Pre-K learning standards to follow similar hands-on, student-centered methodology when developing Pre-K units of study. Therefore, students will begin to form deeper connections between concepts previously learned in Pre-K, such as collecting evidence and drawing conclusions, understanding relationships between objects, and critical thinking that leads to designing effective solutions for problems. Upon completion of Grade K, students should have a deeper understanding of: A review of what happens to objects as they are pulled or pushed.A basic understanding of what plants and animals need to survive.Explain how the weather today different than it was yesterday.Aligned Core Resources: Core resources is a local control decision.  Ensuring alignment of resources to the standards is critical for success. Alignment of all content materials across the grades and vertically in the grade band must be communicated to all staff. Additional Course Information:  NGSS has unique features. To better understand the make-up of NGSS visit the following website for a more detailed break-down of the CT Science standards from which this curriculum was based.  Nextgenscience  Assessment Information: There are many ways to assess student learning. Besides annual statewide summative testing, the Connecticut State Department of Education has developed NGSS Interim Assessment blocks specific to the grade 3 – 5 grade band. These can be accessed through the CSDE Website in the Performance Office tab. Many websites also offer assessment materials aligned to the NGSS, specifically through the NSTA, and Defined Learning.   ELA/Math Transferable Skills Addressed in the Course:  The following Practices Venn Diagram illustrates the connections and commonalities in the major content areas. This diagram attempts to cluster practices and capacities that have similar tenets and/or significant overlaps in the student expectations. Likewise, we have placed practices and capacities within the disciplinary domains if there was not a significant overlap or relationship to another discipline. One could argue certain practices/capacities could be placed in other positions within the Venn diagram. These placements are not definitive and the intention of the standards documents may not have conceptualized the three disciplinary areas In this manner. ​

Unit Overview/Summary - FOCUS:  Summary The bundle organizes performance expectations around the relationship between the needs of different plants and animals and the places they live. Instruction developed from this bundle should always maintain the three-dimensional nature of the standards but recognize that instruction is not limited to the practices and concepts directly linked with any of the bundle performance expectations. Connections between unit Disciplinary Core Ideas (DCIs)  The concept that all animals need food and plants need water and light (LS1.C as in K-LS1-1) connects to the idea that living things need water, air, and resources from the land, and they live in places that have the things they need (ESS3.A as in K-ESS3-1). These ideas also connect to the concept that plants and animals (including humans) can change the environment to meet their needs (K-ESS2-2). The concept that humans use natural resources for everything they do (ESS3.A as in K-ESS3-1) connects to the idea that the things people do to live comfortably can affect the world around them, but they can make choices that reduce their impacts on the land, water, air, and other living things (ESS3.C as in K-ESS2-2 and K-ESS3-3) Weather—which is the combination of sunlight, wind, snow or rain, and temperature in a particular region at a particular time (ESS2.D as in K-ESS2-1) —connects to the idea that living things need water (ESS3.A as in K-ESS3-1) and the idea that plants need light (LS1.C as in K-LS1-1). Also, the concept of the needs of living things connects to weather through making observation to notice and describe patterns as: observations can be used to describe the patterns of what plants and animals need (K-LS1-1) and observations and measurements of weather conditions can be used to describe and record the weather and to notice patterns over time (ESS2.D as in K-ESS2-1). The concepts of weather and patterns of weather (ESS2.D as in K-ESS2-1) also connect to the idea that some kinds of severe weather are more likely than others in a given region (ESS3.B as in K-ESS3-2). The idea that a situation that people want to change or create can be approached as a problem to be solved through engineering (ETS1.A, K-2-ETS1-1) could connect to several concepts such as plants need water and light to live and grow (LS1.C as in K-LS1-1), humans use natural resources for everything they do (ESS3.A as in K-ESS3-1), or that people can make choices that reduce their impacts on the land, water, air, and other living things (ESS3.C as in K-ESS3-3). These connections could be made through tasks such as designing a solution to the problem of plants in a garden not getting enough water or sunlight or identifying ways to reduce their class’s impact on the local water system. Alternatively, students could be challenged with a different design task involving creating products out of natural resources that are abundant in their area. In both tasks, students need an opportunity to reflect on the situation to be changed and that it can be approached as a problem to be solved through engineering.Unit Science and Engineering Practices (SEPs)Instruction leading to this bundle of PEs will help students build toward proficiency in elements of the practices of asking questions and defining problems (K-ESS3-2 and K-2-ETS1-1); developing and using models (K-ESS3-1); analyzing and interpreting data (K-LS1-1 and K-ESS2-1); engaging in argument from evidence (K-ESS2-2); and obtaining, evaluating, and communicating Information (K-ESS3-2 and K-ESS3-3). Many other practice elements can be used in instruction. Unit Crosscutting Concepts (CCCs)Instruction leading to this bundle of PEs will help students build toward proficiency in elements of the concepts of Cause and Effect (K-ESS3-2 and K-ESS3-3); and Patterns (K-LS1-1 and K-ESS2-1); Systems and System Models (K-ESS2-2 and K-ESS3-1). Many other crosscutting concepts elements can be used in instruction. All instruction should be three-dimensional.