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 6, instructional time should focus on four critical areas: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing understanding of statistical thinking.  Upon completion of this course students will have the ability to:Understand ratio concepts and use ratio reasoning to solve problems. Apply and extend previous understandings of multiplication and division to divide fractions by fractions. Multiply and divide multi-digit numbers and find common factors and multiples. Apply and extend previous understandings of numbers to the system of rational numbers. Apply and extend previous understandings of arithmetic to algebraic expressions. Reason about and solve one-variable equations and inequalities. Represent and analyze quantitative relationships between dependent and independent variables. Solve real-world and mathematical problems involving area, surface area, and volume. Develop understanding of statistical variability. Summarize and describe distributions.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 6EdGems Math Grade 6enVisions Grade 6Eureka Math Grade 6Fishtank Plus Math Grade 6HMH Into Math Grade 6Imagine Learning Illustrative Mathematics Grade 6i-Ready Math Grade 6MidSchoolMath Grade 6Open Up Resouces Math Grade 6Reveal Math Grade 6Additional Course Information:  Major work of Grade 6 mathematics focuses on ratios and proportional relationships and early expressions and equations.  Fluencies required upon completion of grade 6 include multi-digit division and multi-digit decimal operations. 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 focuses on the Equations and Expressions domain.  Learning in this unit will enable students to: • Reason about and solve one-variable equations and inequalities. • Represent and analyze quantitative relationships between dependent and independent variables. All of the learning in this unit is major work of the grade. 

Unit Overview/Summary - FOCUS:  This unit focuses on the Geometry domain.  Learning in this unit will enable students to: Solve real-world and mathematical problems involving area, surface area and volume. The Geometry domain is a supporting cluster within grade 6 mathematics.  Therefore the learning of the content of this unit should be connected to the major work of grade 6, specifically, arithmetic with rational numbers.  This unit also provides an opportunity to address the fluency requirement of multi-digit decimal operations. 

This unit focuses on the Number Systems domain and provides an opportunity to apply number systems content within the context of geometry.  Learning in this unit will enable students to: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.Compute fluently with multi-digit numbers and find common factors and multiples Solve real-world and mathematical problems involving area, surface area, and volume.  

Unit Overview/Summary - FOCUS: This unit focuses on the Ratios and Proportional Relationships domain.  Learning in this unit will enable students to: •    Understand ratio concepts and use ratio reasoning to solve problems. All of the learning in this unit is major work of the grade. 

Unit Overview/Summary - FOCUS:  This unit focuses on the Statistics and Probability domain.  Learning in this unit will enable students to: Develop understanding of statistical variability. Summarize and describe distributions. All of the learning in this unit is additional work of the grade. 

Unit Overview/Summary - FOCUS:  This unit focuses on the Number Systems domain.  Learning in this unit will enable students to: •    Apply and extend previous understanding of numbers to the system of rational numbers 

Unit Overview/Summary - FOCUS:  This unit focuses on the Expressions and Equations domain.  Learning this unit will enable students to: Apply and extend previous understandings of arithmetic to algebraic expressions. Reason about and solve one-variable equations and inequalities. Represent and analyze quantitative relationships between dependent and independent variables.  

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 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples.  Upon completion of this course students will have the ability to Analyze proportional relationships and use them to solve real-world and mathematical problems. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Use properties of operations to generate equivalent expressions. Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Draw, construct and describe geometrical figures and describe the relationships between them. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Use random sampling to draw inferences about a population. Draw informal comparative inferences about two populations. Investigate chance processes and develop, use, and evaluate probability models.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 7EdGems Math Grade 7enVisions Grade 7Eureka Math Grade 7Fishtank Plus Math Grade 7HMH Into Math Grade 7Imagine Learning Illustrative Mathematics Grade 7i-Ready Math Grade 7MidSchoolMath Grade 7Open Up Resouces Math Grade 7Reveal Math Grade 7Additional Course Information:  Major work of Grade 7 mathematics focuses on ratios and proportional relationships and arithmetic of rational numbers. 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 focuses on Expressions and Equations. Learning this unit will enable students to: Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Use properties of operations to generate equivalent expressions. 

Unit Overview/Summary - FOCUS: This unit focuses on Statistics and Probability. Learning this unit will enable students to: Use random sampling to draw inferences about a population. Draw informal comparative inferences about two populations. 

Unit Overview/Summary - FOCUS: This unit focuses on the Number System domain.  Learning this unit will enable students to: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 

Unit Overview/Summary - FOCUS: This unit focuses on Number Systems and Expressions and Equations. Learning this unit will enable students to: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers; Use properties of operations to generate equivalent expressions; and Solve real-life and mathematical problems using numerical and algebraic expressions and equations. 

Unit Overview/Summary - FOCUS: This unit focuses on Statistics and Probability. Learning this unit will enable students to: Investigate chance processes and develop, use, and evaluate probability models. 

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. 

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 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 Geometry.  Learning this unit will enable students to: Understand and apply the Pythagorean Theorem; and Work with radicals and integer exponents.