Mathematics Textbook Correlation to the 2016 Grade Six · PDF file · 2017-06-12Module: Relating Quantities ... Carnegie Learning Text: Middle School Math Solution ... Middle School

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:

[email protected]

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:





Unit: Ratio and Rate Reasoning

Workspaces:

1. Understanding Ratio Relationships

2. Equivalent Ratios

3. Multiple Representations of Ratios

And


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




Publisher: Carnegie Learning Text: Middle School Math Solution – Course 1, Grade 6





6.2 The student will

a) represent and determine equivalencies among

fractions, mixed numbers, decimals, and percents; and

ATE:


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










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:



Lesson: 1. Human Number Line

Page: M4-7

CT-MATHia:




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:



Lesson: 2. Magnificent Magnitude

Page: M4-23A

CT-MATHia:


Unit: Integers

Workspace: Using Absolute Value









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










a) multiply and divide fractions and mixed numbers;

ATE:



Lessons:

2. Did You Get the Part?

Page: M1-83A

3.Yours IS to Reason Why!

Page: M1-93A

CT-MATHia:


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




b) solve single-step and multistep practical problems

involving addition, subtraction, multiplication, and

division of fractions and mixed numbers; and

ATE:



Lessons:

2. Did You Get the Part?

Page: M1-83

3. Yours IS to Reason Why!

Page: M1-93

And


Topic: Equations

Lesson: 4. Getting Real

Page: M3-135A

c) solve multistep practical problems involving addition,

subtraction, multiplication, and division of decimals.

ATE:


Topic: Decimals and Volume

Lesson: 1. Length, Width, and Depth

Page: M1-115A










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


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

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



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




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:


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


Lessons:

3. Building a Wright Brothers’ Flyer

Page: M2-113A

4. Properties Schmoperties

Page: M2-125A










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:


Unit: Circles

Workspace: 1. Calculating Circumference and Area of Circles

Additional Content:

ATE - Course 2


Topic: Circles and Ratio

Lessons:

2. That’s a Spicy Pizza!

Page: M1-19A

3. Circular Reasoning




Page: M1-33A

c) solve problems, including practical problems,

involving area and perimeter of triangles and

rectangles.

ATE:


Topic: Factors and Area

Lesson: 2. All About that Base… and Height

Page: M1-15A










a) identify the components of the coordinate plane; and

ATE:


Topic: The Four Quadrants

Lesson: 1. Four is Better than One

Page: M4-57A

CT – MATHia:


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:


Topic: The Four Quadrants

Lesson: 1. Four is Better than One

Page: M4-57A




CT – MATHia:


Unit: The Coordinate Plane

Workspaces:

1.Exploring Symmetry on the Coordinate Plane

2.Identifying and Interpreting Ordered Pairs

3.Plotting Points






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





2016 Six Mathematics Standards of Learning




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:




Page: M5-7A

c) compare circle graphs with the same data represented

in bar graphs, pictographs, and line plots.

ATE:




Page: M5-7A










a) represent the mean of a data set graphically as the

balance point; and

ATE:


Topic: Numerical Summaries of Data

Lesson: 1. In the Middle

Page: M5-71A

CT-MATHia:


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:


Topic: Numerical Summaries of Data

Lesson: 4. You Chose… Wisely

Page: M5-117A

CT-MATHia:





Unit: Numerical Summaries of Data

Workspace: 3. Measuring Effects of Changing Data Sets










a) represent a proportional relationship between two

quantities, including those arising from practical

situations;

ATE:


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:




1.Solving Proportions using Equivalent Ratios

2.Solving Problems using Means and Extremes

Additional Content:

ATE - Course 2


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:


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


Topic: Fractional Rates

Lesson: 3. Tagging Sharks

Page: M1-69A




c) determine whether a proportional relationship exists

between two quantities; and

Additional Content:

ATE - Course 2


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


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












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:


Topic: Equations

Lessons:

3. Play It in Reverse

Page: M3-119A

4. Getting Real

Page: M3-135A

CT-MATHia:


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)










a) represent a practical situation with a linear inequality

in one variable; and

ATE:


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:


Topic: Graphing Quantitative Relationships

Lesson: 2: The Power of the Horizontal Line

Page: M3-183A

CT - MATHia:




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

Documents

Mathematics Textbook Correlation to the 2016 Grade Six · PDF file · 2017-06-12Module: Relating Quantities ... Carnegie Learning Text: Middle School Math Solution ... Middle School