mathematics textbook correlation to the 2016 grade seven ......grade seven mathematics 8 of 30...

Mathematics Textbook Correlation to the

2016 Grade Seven Mathematics Standards of Learning and Curriculum Framework

Grade Seven Mathematics 1 of 30 Virginia Department of Education 2017

Publisher: Carnegie Learning Text: Middle School Math Solution –

Course 2, Grade 7

Copyright date: 2017

Contact: Tracey Bradley Phone#

(888) 851-7094

x463

E-mail:

[email protected]

2016 Grade Seven 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.)

7.1 The student will

a) investigate and describe the concept of negative

exponents for powers of ten;

CT - MATHia:

Module: Applying Powers

Unit: Scientific Notation

Workspace: 1. Using Scientific Notation

Additional content:

ATE - Course 3


Topic: Exponents and Scientific Notation

Lesson: 1. It's a Generational Thing

Page: M5-7A

Lesson: 3. The Big and Small of It

Page: M5-43A




b) compare and order numbers greater than zero written

in scientific notation;

CT - MATHia:


Unit: Scientific Notation

Workspace: 2. Comparing Numbers Using Scientific Notation

Additional content:

ATE - Course 3


Topic: Exponents and Scientific Notation

Lesson: 3. The Big and Small of It

Page: M5-43A

c) compare and order rational numbers;

Additional content:

ATE - Course 1

Module: Moving Beyond Positive Quantities

Topic: Signed Numbers

Lesson: 3. What’s in a Name?

Page: M4-35A

d) determine square roots of perfect squares; and

CT – MATHia:

Module: Expanding Number Systems

Topic: Rational and Irrational Numbers

Workspace: Introduction to Irrational Numbers

Additional content:

ATE - Course 3

Module: Expanding the Number System

Topic: The Real Number System

Lesson: 3. What are Those?!

Page: M4-31A

e) identify and describe absolute value of rational

numbers.

CT – MATHia:

Module: Beyond Positive Quantities

Unit: Integers




Workspace: Using Absolute Value

Additional content:

ATE - Course 1


Topic: Signed Numbers

Lesson: Magnificent Magnitude

Page: M4-34A




Publisher Carnegie Learning Text Middle School Math Solution – Course 2, Grade 7





7.2 The student will solve practical problems involving

operations with rational numbers.

ATE:

Module: Operating with Signed Numbers

Topic: Adding and Subtracting Rational Numbers

Lesson: 5. All Mixed Up

Page: M2-69A

Topic: Multiplying and Dividing Rational Numbers

Lessons:

2. Be Rational!

Page: M2-103A

3. Building a Wright Brothers’ Flyer

Page: M2-113A

4. Properties Schmoperties

Page: M2-125A

Module: Reasoning Algebraically

Topic: Algebraic Expressions

Lesson: 1. No Substitute for Hard Work

Page: M3-7A

Topic: Two-Step Equations and Inequalities

Lessons:




1. Picture Algebra

Page: M3-53A

3. Formally Yours

Page: M3-77A

4. Be Greater Than

Page: M3-95A

Topic: Multiple Representations of Equations

Lessons:

2. Stretches, Stacks, and Structure

Page: M3-139A

3. Deep Flight 1

Page: M3-155A

4. Texas Tea and Temperature

Page: M3-169A









7.3 The student will solve single-step and multistep practical

problems, using proportional reasoning.

ATE:

Module: Thinking Proportionally

Topic: Fractional Rates

Lessons:

1. Making Punch

Page: M1-51A

2. Eggzactly!

Page: M1-59A

3. Tagging Sharks

Page: M1-69A

Topic: Proportional Relationships

Lessons:

1. Markups and Markdowns

Page: M1-161A

2. Perks of Work

Page: M1-177A

3. No Taxation with Calculation

Page: M1-197A

4. More Ups and Downs

Page: M1-209A

5. Pound for Pound, Inch for Inch

Page: M1-223A




CT – MATHia:


Unit: Problem Solving with Percents Using Proportional

Relationships

Workspaces:

1. Calculating Percent Change and Final Amounts

2. Using Percents and Percent Change










a) describe and determine the volume and surface area of

rectangular prisms and cylinders; and

CT – MATHia:

Module: Composing and Decomposing

Unit: Volume and Surface Area

Workspaces:

1. Calculating Volume of Right Prisms

2. Using Volume of Right Prisms

3. Calculating Surface Area of Right Prisms


Unit: Volume and Surface Area

Workspaces:

1. Calculating Volume of Cylinders

2. Using Volume of Cylinders

Additional content:

ATE - Course 1

Module: Composing and Decomposing

Topic: Decimals and Volume

Lessons:

1. Length, Width and Depth

Page: M1-115A

2. Which Warehouse?

Page: M1-131A

3. Breaking the Fourth Wall

Page: M1-143A

4. Dividend in the House

Page: M1-165A




b) solve problems, including practical problems,

involving the volume and surface area of rectangular

prisms and cylinders.









7.5 The student will solve problems, including practical

problems, involving the relationship between

corresponding sides and corresponding angles of similar

quadrilaterals and triangles.

Additional content:

ATE – Course 3

Module: Transforming Geometric Objects

Topic: Rigid Motion Transformations

Lesson: 1. Patty Paper, Patty Paper

Page: M1-7A

Topic: Line and Angle Relationships

Lessons:

1. Pulling a One-Eighty!

Page: M1-167A

2. CrissCross Applesauce

Page: M1-181A

3. The Vanishing Point

Page: M1-203A

Topic: Similarity

Lessons:

1. Pinch-Zoom Geometry

Page: M1-109A

2. Rising, Running, Stepping and Scaling

Page: M1-125A

3. From Here to There




Page: M1-141A










a) compare and contrast quadrilaterals based on their

properties; and

b) determine unknown side lengths or angle measures of

quadrilaterals.

Additional Content:

ATE – Course 1


Topic: The Four Quadrants

Lesson: 2. It’s a Bird, It’s a Plane...It's a Polygon on the Plane!

Page: M4-73A

CT-MATHia:

Module: Geometric Measurement

Unit: Area

Workspaces:

1. Developing Area Formulas

2. Calculating Area of Various Figures

3. Solving Area Problems









7.7 The student will apply translations and reflections of right

triangles or rectangles in the coordinate plane.

CT – MATHia:

Module: Geometric Transformations

Unit: Transformations of Figures on the Coordinate Plane

Workspaces:

1. Translating Plane Figures

2. Reflecting Plane Figures

Additional content:

ATE – Course 3

Module: Transforming Geometric Objects

Topic: Rigid Motion Transformations

Lessons:

1. Patty Paper, Patty Paper

Page: M1-7A

2. Slides, Flips and Spins

Page: M1-17A

3. Lateral Moves

Page: M1-39A

4. Mirror, Mirror

Page: M1-53A










a) determine the theoretical and experimental

probabilities of an event; and

ATE:

Module: Analyzing Populations

Topic: Introduction to Probability

Lessons:

1. Rolling, Rolling, Rolling

Page: M4-7A

2. Give the Models a Chance

Page: M4-23A

3. Toss the Cup

Page: M4-33A

4. A Simulating Conversation

Page: M4-47A

CT – MATHia:

Module: Analyzing Populations and Probabilities

Unit: Introduction to Probability

Workspaces:

1. Determining Probabilities

2. Comparing Experimental and Theoretical Probabilities




b) investigate and describe the difference between the

experimental probability and theoretical probability of

an event.

ATE:

Module: Analyzing Populations

Topic: Introduction to Probability

Lessons:

3. Toss the Cup

Page: M4-33A

4. A Simulating Conversation

Page: M4-47A

CT – MATHia:

Module: Analyzing Populations and Probabilities

Unit: Introduction to Probability

Workspaces:

2. Comparing Experimental and Theoretical Probabilities









7.9 The student, given data in a practical situation, will

a) represent data in a histogram;

CT – MATHia:

Module: Describing Variability of Quantities

Unit: Displays of Numerical Data

Workspace: 3. Creating and Interpreting Histograms

Additional content:

ATE – Course 1


Topic: The Statistical Process

Lesson: Skyscrapers

Page: M5-47A

b) make observations and inferences about data

represented in a histogram; and

CT – MATHia:



Workspace: 3. Creating and Interpreting Histograms

Additional content:

ATE – Course 1






Lesson: Skyscrapers

Page: M5-47A

c) compare histograms with the same data represented in

stem-and-leaf plots, line plots, and circle graphs.

CT – MATHia:



Workspaces:

1: Creating and Interpreting Stem Plots

2: Creating and Interpreting Dot Plots

Additional content:

ATE – Course 1



Lessons:

2. Get in Shape

Page: M5-25A

3. Skyscrapers

Page: M5-47A










a) determine the slope, m, as rate of change in a

proportional relationship between two quantities and

write an equation in the form y = mx to represent the

relationship;

ATE:


Topic: Proportionality

Lessons:

2. Complying with Title IX

Page: M1-109A

3. Fish Inches

Page: M1-127A

CT – MATHia:


Unit: Representing Proportional Relationships with Equations

Workspaces:

1. Introduction to Proportional Relationships

2. Writing Direct Variation Equations

3. Converting Between Proportions and Direct Variation

Equations

Module: Determining Unknown Quantities




Unit: Problem Solving with One Step Equations

Workspaces:

2. Problem Solving using Multiple Representations in the First

Quadrant

3. Problem Solving with Decimals

Additional content:

ATE – Course 1


Topic: Graphing Quantitative Relationships

Lessons:

2. The Power of a Horizontal Line

Page: M3-183A

3. Trains, Planes and Paychecks

Page: M3-193A

4. Triathlon Training

Page: M3-207A

ATE – Course 3

Module: Developing Functional Foundations

Topic: From Proportions to Linear Relationships

Lessons:

1. Post-Secondary Proportions

Page: M2-7A

2. Jack and Jill Went Up the Hill

Page: M2-23A

b) graph a line representing a proportional relationship

between two quantities given the slope and an ordered

pair, or given the equation in y = mx form where m

represents the slope as rate of change;

ATE:



Lessons:

1. How Does Your Garden Grow




Page: M1-91A

3. Fish Inches

Page: M1-127A

4. Minding Your Ps and Qs

Page: M1-139A

CT – MATHia:


Unit: Representing Proportional Relationships with Equations

Workspace: Modeling Direct Variation


Unit: Problem Solving with One-Step Equations

Workspaces:


Quadrant


Additional content:

ATE – Course 1



Lessons:


Page: M3-183A


Page: M3-193A


Page: M3-207A

ATE – Course 3






Lessons:


Page: M2-7A


Page: M2-23A

c) determine the y-intercept, b, in an additive relationship

between two quantities and write an equation in the

form y = x + b to represent the relationship;

CT – MATHia


Topic: Problem Solving with One Step Equations

Workspaces:


Quadrant


Additional content:

ATE – Course 1



Lessons:


Page: M3-183A


Page: M3-193A


Page: M3-207A










d) graph a line representing an additive relationship

between two quantities given the y-intercept and an

ordered pair, or given the equation in the form

y = x + b, where b represents the y-intercept; and

CT – MATHia


Topic: Problem Solving with One Step Equations

Workspaces:


Quadrant


Additional content:

ATE – Course 1



Lessons:


Page: M3-183A


Page: M3-193A


Page: M3-207A




e) make connections between and among representations

of a proportional or additive relationship between two

quantities using verbal descriptions, tables, equations,

and graphs.

ATE:



Lesson: 4. Minding Your Ps and Qs

Page: M1-139A

CT – MATHia


Unit: Representing Relationships with Equations

Workspaces:

1. Introduction to Proportional Relationships

2. Writing Direct Variation Equations

3. Converting Between Proportions and Direct Variation

Equations

4. Modeling Direct Variation Equations


Unit: Problem Solving with One Step Equations

Workspaces:

1. Patterns and One-Step Equations


Quadrant


Additional content:

ATE – Course 1



Lessons:


Page: M3-183A





Page: M3-193A


Page: M3-207A

ATE – Course 1

Module: Relating Quantities

Topic: Ratios

Lesson: 6. One is Not Enough

Page: M2-85A

ATE – Course 3



Lessons:


Page: M2-7A


Page: M2-23A









7.11 The student will evaluate algebraic expressions for given

replacement values of the variables.

ATE:


Topic: Algebraic Expressions

Lessons:

1. No Substitution for Hard Work

Page: M3-7A

2. Mathematics Gymnastics

Page: M3-19A

3. All My X's

Page: M3-33A

CT – MATHia:


Unit: Algebraic Expressions

Workspaces:

2. Evaluating Multi-Step Expressions

3. Evaluating Expressions with Multiple Variables

Additional content:

ATE – Course 1


Topic: Expressions

Lessons:




2. Into the Unknown

Page: M3-23A

3. Second Verse, Same as the First

Page: M3-35A

4. Are They Saying the Same Thing?

Page: M3-53A

5. DVDs and Songs

Page: M3-67A









7.12 The student will solve two-step linear equations in one

variable, including practical problems that require the

solution of a two-step linear equation in one variable.

ATE:



Lessons:

1. Picture Algebra

Page: M3-53A

2. Expressions that Play Together

Page: M3-65A

3. Formally Yours

Page: M3-77A


Lessons:

1. Put it on the Plane

Page: M3-125A

4. Texas Tea and Temperature

Page: M3-169A

CT – MATHia:


Unit: Modeling Two-Step Equations and Expressions

Workspaces:

1. Using Picture Algebra with Equations




2: Modeling Two-Step Equations

Unit: Solving Two-Step Equations

Workspaces:

1. Checking Solutions to Linear Equations

2. Solving with Multiplication (No Type In)

3. Solving with Multiplication (Type In)

4. Solving with Division (No Type In)

5. Solving with Division (Type In)

6. Solving Two-Step Equations

Unit: Problem Solving with Two-Step Equations and Inequalities

Workspaces:

1. Graphs of Equations

2. Using Graphs to Solve Equations









7.13 The student will solve one- and two-step linear

inequalities in one variable, including practical problems,

involving addition, subtraction, multiplication, and

division, and graph the solution on a number line.

ATE:



Lesson: 4. Be Greater Than

Page: M3-95A


Lesson: 1. Deep Flight I

Page: M3-155A

CT – MATHia


Unit: Solving Two Step Inequalities

Workspaces:

1. Graphing Inequalities with Rational Numbers

2. Solving Two-Step Linear Inequalities

Additional content:

ATE – Course 1


Topic: Equations

Lesson: 1. First Among Equals




Page: M3-87A

mathematics textbook correlation to the 2016 grade seven ......grade seven mathematics 8 of 30...

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