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CSDE Model K-8 Mathematics

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Connecticut Model Math for Grade 6
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Equitable 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:  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. Additional 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  

Subject:
Mathematics
Material Type:
Full Course
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Date Added:
09/21/2021
Connecticut Model Math for Grade 7
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Equitable 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:  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.Additional 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 

Subject:
Mathematics
Material Type:
Full Course
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Date Added:
10/12/2021
Connecticut Model Math for Grade 8
Restricted Use
Copyright Restricted
Rating
0.0 stars

Equitable 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; 

Subject:
Mathematics
Material Type:
Full Course
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Date Added:
10/27/2021