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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 6, Algebraic Reasoning
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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. 

Subject:
Mathematics
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Connecticut Model Math for Grade 6, Algebraic Reasoning, Unit 6 Overview: Algebraic Reasoning
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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. 

Subject:
Mathematics
Material Type:
Unit of Study
Author:
Connecticut Department of Education
Date Added:
10/12/2021
Connecticut Model Math for Grade 6, Applications of Geometry
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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. 

Subject:
Mathematics
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Connecticut Model Math for Grade 6, Applications of Geometry, Unit 4 Overview: Applications of Geometry
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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. 

Subject:
Mathematics
Material Type:
Unit of Study
Author:
Connecticut Department of Education
Date Added:
10/12/2021
Connecticut Model Math for Grade 6, Operating with Positive Rational Numbers
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Unit Overview/Summary - FOCUS: 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. All of the learning in this unit is major work of the grade. 

Subject:
Mathematics
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Connecticut Model Math for Grade 6, Operating with Positive Rational Numbers, Unit 1 Overview: Operating with Positive Rational Numbers
Restricted Use
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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. All of the learning in this unit is major work of the grade. 

Subject:
Mathematics
Material Type:
Unit of Study
Author:
Connecticut Department of Education
Date Added:
09/13/2021
Connecticut Model Math for Grade 6, Ratios and Rates
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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. 

Subject:
Mathematics
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Connecticut Model Math for Grade 6, Ratios and Rates, Unit 5 Overview: Ratios and Rates
Restricted Use
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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. 

Subject:
Mathematics
Material Type:
Unit of Study
Author:
Connecticut Department of Education
Date Added:
10/12/2021
Connecticut Model Math for Grade 6, Statistics and Distributions
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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. 

Subject:
Mathematics
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Connecticut Model Math for Grade 6, Statistics and Distributions, Unit 7 Overview: Statistics and Distributions
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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. 

Subject:
Mathematics
Material Type:
Unit of Study
Author:
Connecticut Department of Education
Date Added:
10/12/2021
Connecticut Model Math for Grade 6, Understanding Positive and Negative Numbers
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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 

Subject:
Mathematics
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Connecticut Model Math for Grade 6, Understanding Positive and Negative Numbers, Unit 2 Overview: Understanding Positive and Negative Numbers
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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 

Subject:
Mathematics
Material Type:
Unit of Study
Author:
Connecticut Department of Education
Date Added:
10/12/2021
Connecticut Model Math for Grade 6, Using Expressions and Equations
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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.  

Subject:
Mathematics
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Connecticut Model Math for Grade 6, Using Expressions and Equations, Unit 3 Overview: Using Expressions and Equations
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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.  

Subject:
Mathematics
Material Type:
Unit of Study
Author:
Connecticut Department of Education
Date Added:
10/12/2021
Connecticut Model Math for Grade 7
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 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 7, Algebraic Reasoning II
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Copyright Restricted
Rating
0.0 stars

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. 

Subject:
Mathematics
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Connecticut Model Math for Grade 7, Algebraic Reasoning II, Unit 5 Overview: Algebraic Reasoning II
Restricted Use
Copyright Restricted
Rating
0.0 stars

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. 

Subject:
Mathematics
Material Type:
Unit of Study
Author:
Connecticut Department of Education
Date Added:
10/25/2021
Connecticut Model Math for Grade 7, Inferences About Populations
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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. 

Subject:
Mathematics
Provider:
CT State Department of Education
Provider Set:
CSDE - Public
Connecticut Model Math for Grade 7, Inferences About Populations, Unit 7 Overview: Inferences About Populations
Restricted Use
Copyright Restricted
Rating
0.0 stars

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. 

Subject:
Mathematics
Material Type:
Unit of Study
Author:
Connecticut Department of Education
Date Added:
10/25/2021