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Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 1 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution –
Course 1, Grade 6 (blended)
Copyright date: 2017
Contact: Tracey Bradley Phone#
(888) 851-7094
x463
E-mail:
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.1 The student will represent relationships between quantities
using ratios, and will use appropriate notations, such as , a
to b, and a:b.
ATE:
Module: Relating Quantities
Topic: Ratios
Lessons:
1. It's all Relative
Page: M2-7A
2. Going Strong
Page: M2-25A
3. Oh Yes, I Am the Muffin Man
Page: M2-37A
4. A Trip to the Moon
Page M2-57A
5. They're Growing!
Page: M2-69A
6. One is Not Enough
Page: M2-85A
CT-MATHia:
Module: Relating Quantities
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 2 of 25 Virginia Department of Education 2017
Unit: Ratio and Rate Reasoning
Workspaces:
1. Understanding Ratio Relationships
2. Equivalent Ratios
3. Multiple Representations of Ratios
And
Module: Relating Quantities
Unit: Problem Solving Using Ratio and Rate Reasoning
Workspaces:
1. Problem Solving with Equivalent Ratios and Rates Using
Tables
2. Problem Solving with Equivalent Ratios and Rates Using
Double Number Lines
3. Problem Solving with Equivalent Ratios and Rates using
Graphs
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 3 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.2 The student will
a) represent and determine equivalencies among
fractions, mixed numbers, decimals, and percents; and
ATE:
Module: Relating Quantities
Topic: Percents
Lesson: 1. We are Family!
Page: M2-109A
CT-MATHia:
Module: Ratios, Rates, and Percents
Unit: Introduction to Percent
Workspace: Fraction, Decimal, Percent Conversions
b) compare and order positive rational numbers.
ATE:
Module: Composing and Decomposing
Topic: Positive Rational Numbers
Lesson: 1. Thinking Rationally
Page: M1-71A
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 4 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.3 The student will
a) identify and represent integers;
ATE:
Module: Moving Beyond Positive Quantities
Topic: Signed Numbers
Lesson: 1. Human Number Line
Page: M4-7
CT-MATHia:
Module: Beyond Positive Quantities
Unit: Integers
Workspaces:
1. Introduction to Negative Numbers
2. Representing Integers on a Number Line
b) compare and order integers; and
ATE:
Module: Moving Beyond Positive Quantities
Topic: Signed Numbers
Lesson: 1. Human Number Line
Page: M4-7
CT-MATHia:
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 5 of 25 Virginia Department of Education 2017
Module: Negative Numbers and the Four Quadrants
Unit: Integers
Workspace: 2. Representing Integers on a Number Line
c) identify and describe absolute value of integers.
ATE:
Module: Moving Beyond Positive Quantities
Topic: Signed Numbers
Lesson: 2. Magnificent Magnitude
Page: M4-23A
CT-MATHia:
Module: Moving Beyond Positive Quantities
Unit: Integers
Workspace: Using Absolute Value
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 6 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.4 The student will recognize and represent patterns with
whole number exponents and perfect squares.
ATE:
Module: Determining Unknown Quantities
Topic: Expressions
Lesson: 1. Relationships Matter
Page: M3-7A
CT-MATHia:
Module: Numeric and Algebraic Expressions
Unit: Numeric Expressions
Workspace: Simplifying Numeric Expressions
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 7 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.5 The student will
a) multiply and divide fractions and mixed numbers;
ATE:
Module: Composing and Decomposing
Topic: Positive Rational Numbers
Lessons:
2. Did You Get the Part?
Page: M1-83A
3.Yours IS to Reason Why!
Page: M1-93A
CT-MATHia:
Module: Composing and Decomposing
Unit: Fraction Division
Workspaces:
1. Representing Fraction Division
2. Interpreting Remainders using Models
3. Developing the Fraction Division Algorithm
4. Multiplying and Dividing Rational Numbers
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 8 of 25 Virginia Department of Education 2017
b) solve single-step and multistep practical problems
involving addition, subtraction, multiplication, and
division of fractions and mixed numbers; and
ATE:
Module: Composing and Decomposing
Topic: Positive Rational Numbers
Lessons:
2. Did You Get the Part?
Page: M1-83
3. Yours IS to Reason Why!
Page: M1-93
And
Module: Determining Unknown Quantities
Topic: Equations
Lesson: 4. Getting Real
Page: M3-135A
c) solve multistep practical problems involving addition,
subtraction, multiplication, and division of decimals.
ATE:
Module: Moving Beyond Positive Quantities
Topic: Decimals and Volume
Lesson: 1. Length, Width, and Depth
Page: M1-115A
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 9 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.6 The student will
a) add, subtract, multiply, and divide integers;
CT-MATHia:
Module: Operating with Signed Numbers
Unit: Integer Operations
Workspaces:
1. Adding and Subtracting Negative Integers
2. Using Number Lines to Add and Subtract Integers
3. Multiplying and Dividing Integers
Additional Content:
ATE - Course 2
Module: Operating with Signed Numbers
Topic: Adding and Subtracting Rational Numbers
Lessons:
1. Math Football
Page: M2-7A
2. Walk the Line
Page: M2-17A
3. Two-Color Counters
Page: M2-31A
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 10 of 25 Virginia Department of Education 2017
4.What’s the Difference?
Page: M2-49A
5.All Mixed Up
Page: M2-69A
And
Topic: Multiplying and Dividing Rational Numbers
Lessons:
1. Equal Groups
Page: M2-89A
2. Be Rational!
Page: M2-103A
b) solve practical problems involving operations with
integers; and
Additional Content:
ATE - Course 2
Module: Operating with Signed Numbers
Topic: Adding and Subtracting Rational Numbers
Lessons:
1. Math Football
Page: M2-7A
2. Walk the Line
Page: M2-17A
3. Two-Color Counters
Page: M2-31A
4. What’s the Difference?
Page: M2-49A
5. All Mixed Up
Page: M2-69A
And
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 11 of 25 Virginia Department of Education 2017
Topic: Multiplying and Dividing Rational Numbers
Lessons:
1. Equal Groups
Page: M2-89A
2. Be Rational!
Page: M2-103A
c) simplify numerical expressions involving integers.
CT-MATHia:
Module: Operating with Signed Numbers
Unit: Integer Operations
Workspaces:
4.Using Order of Operations to Simplify Numeric Expressions
(No Type In)
5. Using Order of Operations to Simplify Numeric Expressions
(Type In)
Additional Content:
ATE - Course 2
Module: Operations with Signed Numbers
Topic: Adding and Subtracting Rational Numbers
Lessons:
3. Building a Wright Brothers’ Flyer
Page: M2-113A
4. Properties Schmoperties
Page: M2-125A
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 12 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.7 The student will
a) derive π (pi);
Additional Content:
ATE - Course 2
Module: Thinking Proportionally
Topic: Circles and Ratio
Lesson: 1. Pi: The Ultimate Ratio
Page: M1-7A
b) solve problems, including practical problems,
involving circumference and area of a circle; and
MATHia:
Module: Thinking Proportionally
Unit: Circles
Workspace: 1. Calculating Circumference and Area of Circles
Additional Content:
ATE - Course 2
Module: Thinking Proportionally
Topic: Circles and Ratio
Lessons:
2. That’s a Spicy Pizza!
Page: M1-19A
3. Circular Reasoning
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 13 of 25 Virginia Department of Education 2017
Page: M1-33A
c) solve problems, including practical problems,
involving area and perimeter of triangles and
rectangles.
ATE:
Module: Composing and Decomposing
Topic: Factors and Area
Lesson: 2. All About that Base… and Height
Page: M1-15A
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 14 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.8 The student will
a) identify the components of the coordinate plane; and
ATE:
Module: Moving Beyond Positive Quantities
Topic: The Four Quadrants
Lesson: 1. Four is Better than One
Page: M4-57A
CT – MATHia:
Module: Moving Beyond Positive Quantities
Unit: The Coordinate Plane
Workspaces:
1.Exploring Symmetry on the Coordinate Plane
2.Identifying and Interpreting Ordered Pairs
3.Plotting Points
b) identify the coordinates of a point and graph ordered
pairs in a coordinate plane.
ATE:
Module: Moving Beyond Positive Quantities
Topic: The Four Quadrants
Lesson: 1. Four is Better than One
Page: M4-57A
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 15 of 25 Virginia Department of Education 2017
CT – MATHia:
Module: Moving Beyond Positive Quantities
Unit: The Coordinate Plane
Workspaces:
1.Exploring Symmetry on the Coordinate Plane
2.Identifying and Interpreting Ordered Pairs
3.Plotting Points
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.9 The student will determine congruence of segments,
angles, and polygons.
Additional Content:
ATE - Course 3
Module: Transforming Geometric Objects
Topic: Rigid Motion Transformations
Lesson: 1. Patty Paper, Patty Paper
Page: M1-7A
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 16 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.10 The student, given a practical situation, will
a) represent data in a circle graph;
ATE:
Module: Describing Variability of Quantities
Topic: The Statistical Process
Lesson: 1. What’s Your Question?
Page: M5-7A
b) make observations and inferences about data
represented in a circle graph; and
ATE:
Module: Describing Variability of Quantities
Topic: The Statistical Process
Lesson: 1. What’s Your Question?
Page: M5-7A
c) compare circle graphs with the same data represented
in bar graphs, pictographs, and line plots.
ATE:
Module: Describing Variability of Quantities
Topic: The Statistical Process
Lesson: 1. What’s Your Question?
Page: M5-7A
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 17 of 25 Virginia Department of Education 2017
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.11 The student will
a) represent the mean of a data set graphically as the
balance point; and
ATE:
Module: Describing Variability of Quantities
Topic: Numerical Summaries of Data
Lesson: 1. In the Middle
Page: M5-71A
CT-MATHia:
Module: Moving Beyond Positive Quantities
Unit: Numerical Summaries of Data
Workspaces:
1.Calculating Mean, Median, Mode, and Range
2.Determining Appropriate Measures
b) determine the effect on measures of center when a
single value of a data set is added, removed, or
changed.
ATE:
Module: Describing Variability of Quantities
Topic: Numerical Summaries of Data
Lesson: 4. You Chose… Wisely
Page: M5-117A
CT-MATHia:
Module: Moving Beyond Positive Quantities
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 18 of 25 Virginia Department of Education 2017
Unit: Numerical Summaries of Data
Workspace: 3. Measuring Effects of Changing Data Sets
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 19 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.12 The student will
a) represent a proportional relationship between two
quantities, including those arising from practical
situations;
ATE:
Module: Relating Quantities
Topic: Ratios
Lesson: 2. Going Strong
Page: M2-25A
And
Topic: Unit Rates and Conversions
Lessons:
2. Where’s the Best Buy?
Page: M2-185A
3. Seeing Things Differently
Page: M2-199A
CT-MATHia:
Module: Fractional Rates
Unit: Proportional Reasoning
Workspace:
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 20 of 25 Virginia Department of Education 2017
1.Solving Proportions using Equivalent Ratios
2.Solving Problems using Means and Extremes
Additional Content:
ATE - Course 2
Module: Thinking Proportionally
Topic: Fractional Rates
Lesson: 3. Tagging Sharks
Page: M1-69A
b) determine the unit rate of a proportional relationship
and use it to find a missing value in a ratio table;
ATE:
Module: Relating Quantities
Topic: Unit Rates and Conversions
Lessons:
1.Many Ways to Measure
Page: M2-165A
2. Where’s the Best Buy?
Page: M2-185A
3. Seeing Things Differently
Page: M2-199A
CT-MATHia:
Module: Fractional Rates
Unit: Ratio and Rate Reasoning
Workspace: 5. Comparing Rates
Additional Content:
ATE - Course 2
Module: Thinking Proportionally
Topic: Fractional Rates
Lesson: 3. Tagging Sharks
Page: M1-69A
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 21 of 25 Virginia Department of Education 2017
c) determine whether a proportional relationship exists
between two quantities; and
Additional Content:
ATE - Course 2
Module: Thinking Proportionally
Topic: Proportionality
Lesson: 1. How Does Your Garden Grow?
Page: M1-91A
CT--MATHia:
Module: Proportionality
Unit: Representing Proportional Relationships by Equations
Workspaces: 1. Introduction to Direct Variation
2. Writing Direct Variation Equations
3. Converting Between Proportions and Direct Variation Equations
4. Modeling Direct Variation
5. Determining Characteristics for Direct Variation Graph
d) make connections between and among representations
of a proportional relationship between two quantities
using verbal descriptions, ratio tables, and graphs.
Additional Content:
ATE - Course 2
Module: Thinking Proportionally
Topic: Proportionality
Lesson: 1. How Does Your Garden Grow?
Page: M1-91A
CT-MATHia:
Module: Proportionality
Unit: Representing Proportional Relationships by Equations
Workspaces: 1. Introduction to Direct Variation
2. Writing Direct Variation Equations
3. Converting Between Proportions and Direct Variation Equations
4. Modeling Direct Variation
5. Determining Characteristics for Direct Variation Graph
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 22 of 25 Virginia Department of Education 2017
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 23 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.13 The student will solve one-step linear equations in one
variable, including practical problems that require the
solution of a one-step linear equation in one variable.
ATE:
Module: Determining Unknown Quantities
Topic: Equations
Lessons:
3. Play It in Reverse
Page: M3-119A
4. Getting Real
Page: M3-135A
CT-MATHia:
Module: Determining Unknown Quantities
Unit: Solving One-Step Equations
Workspaces:
1. Solving One-Step Equations with a Balance
2: Representing One-Step Equations
3: Using Substitution to identify Solutions to Equations
4: Solving with Addition and Subtraction (No Type In)
5: Solving with Multiplication (No Type In)
6: Solving One-Step Equations (Type In)
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 24 of 25 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6
2016 Grade Six Mathematics Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
6.14 The student will
a) represent a practical situation with a linear inequality
in one variable; and
ATE:
Module: Determining Unknown Quantities
Topic: Equations
Lesson: 1. First Among Equals
Page: M3-87A
Additional Content:
ATE - Course 2
Module: Reasoning Algebraically
Topic: Two-Step Equations and Inequalities
Lesson: 2. Expressions that Play Together…
Page: M3-65A
b) solve one-step linear inequalities in one variable,
involving addition or subtraction, and graph the
solution on a number line.
ATE:
Module: Determining Unknown Quantities
Topic: Graphing Quantitative Relationships
Lesson: 2: The Power of the Horizontal Line
Page: M3-183A
CT - MATHia:
Mathematics Textbook Correlation to the
2016 Grade Six Mathematics Standards of Learning and Curriculum Framework
Grade Six Mathematics 25 of 25 Virginia Department of Education 2017
Module: Determining Unknown Qualities
Unit: Solving One-Step Inequalities
Workspace 1: Graphing Inequalities with Positive Rational
Numbers
Additional Content:
ATE - Course 2
Module: Reasoning Algebraically
Topic: Two-Step Equations and Inequalities
Lesson: 2. Expressions that Play Together…
Page: M3-65A