mathematics textbook correlation to the 2016 grade eight ... · mathematics textbook correlation to...

Mathematics Textbook Correlation to the

2016 Grade Eight Mathematics Standards of Learning and Curriculum Framework

Grade Eight Mathematics 1 of 29 Virginia Department of Education 2017

Publisher: Carnegie Learning Text Middle School Math Solution –

Course 3, Grade 8 (blended)

Copyright date: 2017

Contact: Tracey Bradley Phone#: (888)

851-7094 x463

E-mail:

[email protected]

2016 Grade Eight 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.)

8.1 The student will compare and order real numbers.

ATE:

Module: Expanding Number Systems

Topic: The Real Number System

Lesson: 1. So Many Numbers So Little Time

Page: M4-7A

Lesson: 2. Rational Decisions

Page: M4-17A

Lesson: 3. What are Those?

Page: M4-31A

CT-MATHia:

Module: Right Triangles

Unit: Rational and Irrational Numbers

Workspaces:

2.Graphing Real Numbers

3.Ordering Real Numbers




Publisher Carnegie Learning Text Middle School Math Solution – Course 3, Grade 8





8.2 The student will describe the relationships between the

subsets of the real number system.

ATE:



Lesson: 1. So Many Numbers So Little Time

Page: M4-7A

Lesson: 2. Rational Decisions

Page: M4-17A


Page: M4-31A

CT-MATHia:



Workspace: 1. Introduction to Irrational Numbers




Publisher: Carnegie Learning Text: Middle School Math Solution – Course 3, Grade 8





8.3 The student will

ATE:




Page: M4-31A

CT-MATHia:



Workspace: 1. Introduction to Irrational Numbers

a) estimate and determine the two consecutive integers

between which a square root lies; and

b) determine both the positive and negative square roots

of a given perfect square.









8.4 The student will solve practical problems involving

consumer applications.

Additional Content

ATE - Course 2

Module: Thinking Proportionally

Topic: Proportional Relationships

Lessons:

1: Markups and Markdowns

Page: M1-161A

2: Perks of Work

Page: M1-177A

3: No Taxation without Calculation

Page: M1-197A

4: More Ups and Downs

Page: M1-209A

CT-MATHia

Module: Proportional Reasoning and Percents

Unit: Problem Solving with Percents using Proportional

Relationships

Workspaces:

1: Calculating Percent Change and Final Amounts 2: Using Percents and Percent Change









8.5 The student will use the relationships among pairs of

angles that are vertical angles, adjacent angles,

supplementary angles, and complementary angles to

determine the measure of unknown angles.

Additional Content

ATE - Course 2

Module: Constructing and Measuring

Topic: Angles and Triangles

Lesson: 2. Special Delivery

CT-MATHia

Module: Geometry

Unit: Angle Properties

Workspaces:

1. Calculating Angles

2. Classifying Angles and Determining Unknown Measures










a) solve problems, including practical problems,

involving volume and surface area of cones and

square-based pyramids; and

ATE

Module: Applying Powers

Topic: Volume of Curved Pyramids

Lesson: 2. Cone of Silence

Page: M5-99A

Lesson: 4. Silos, Frozen Yogurt and Popcorn

Page: M5-123A Additional Content

ATE - Course 2


Topic: Three-Dimensional Figures

Lesson: 2. Dissecting a Pyramid

Page: M5-97A

Lesson: 3. Hey Mister Got Some Bird Seed

Page: M5-107A

Lesson: 4. The Sound of Surface Area

Page: M5-129A

Lesson: 5. More Than Four Sides of the Story




Page: M5-143A

CT-MATHia

Module: Geometry

Unit: Volume of Pyramids

Workspaces:

1.Calculating Volume of Pyramids

2.Using Volume of Pyramids

And

Unit: Volume

Workspaces:

3. Calculating Volume of Cones

4. Volume of Cones

b) describe how changing one measured attribute of a

rectangular prism affects the volume and surface area.

Additional Content

ATE - Course 2



Lesson: 5. More Than Four Sides of the Story

Page: M5-143A










ATE:

Module: Transforming Geometric Objects

Topic: Rigid Motion Transformations

Lesson: 2. Slides, Flips and Turns

Page: M1-17A

Lesson: 3. Lateral Moves

Page: M1-39A

Lesson: 4. Mirror, Mirror

Page: M1-53A

Lesson: 5. Half Turns and Quarter Turns

Page: M1-67A

Lesson: 6. Every Which Way

Page: M1-83A

And

Topic: Similarity

Lesson: 1. Pinch Zoom Geometry

Page: M1-109A

Lesson: 2. Rising, Running, Stepping and Scaling

Page: M1-125A

Lesson: 3. From Here to There

Page: M1-141A




CT-MATHia:

Module: Geometric Transformations

Topic:Transformations of Figures on the

Coordinate Plane

Workspaces:

1. Translating Plane Figures

2. Rotating Plane Figures

3. Reflecting Plane Figures

4. Dilating Plane Figures

5. Performing One Transformation

6. Performing Multiple Transformations

a) given a polygon, apply transformations, to include

translations, reflections, and dilations, in the

coordinate plane; and

b) identify practical applications of transformations.









8.8 The student will construct a three-dimensional model,

given the top or bottom, side, and front views.

Additional Content:

ATE - Course 2



Lesson: 1. Slicing and Dicing

Page: M5-75A

Lesson: 2. Dissecting a Pyramid

Page: M5-97A










a) verify the Pythagorean Theorem; and

ATE:


Topic: Pythagorean Theorem

Lesson: 1. Right Triangle Connection

Page: M4-55A

Lesson: 2. Can That Be Right?

Page: M4-75A

CT-MATHia:


Unit: The Pythagorean Theorem

Workspace: 1: Exploring the Pythagorean Theorem

b) apply the Pythagorean Theorem.

ATE:


Topic: Pythagorean Theorem

Lesson: 1. Right Triangle Connection

Page: M4-55A

Lesson: 2. Can That Be Right?




Page: M4-75A

Lesson: 3. Pythagoras meets Descartes

Page: M4-87A

Lesson: 4. Catty Corner

Page: M4-99A

CT-MATHia:


Unit: The Pythagorean Theorem

Workspaces:

2.Applying the Pythagorean Theorem

3.Problem Solving Using the Pythagorean Theorem

4.Calculating Distances on the Coordinate Plane









8.10 The student will solve area and perimeter problems,

including practical problems, involving composite plane

figures.

Additional Content:

ATE-Course 1

Module: Composing and Decomposing

Topic: Factors and Area

Lesson: 2. All About that Base… and Height

Page: M1-15A

Lesson: 3. Slicing and Dicing

Page: M1-29A

CT-MATHia:

Module: Geometric Measurement

Unit: Area

Workspaces: 1. Developing Area Formulas

2. Calculating Area of Various Figures

3. Solving Area Problems

4. Calculating Area of Composite Figure










a) compare and contrast the probability of independent

and dependent events; and

Additional Content:

ATE - Course 2

Module: Analyzing Populations

Topic: Compound Probability

Lesson: 1. Evens or Odds?

Page: M4-73A

Lesson: 2. Three Girls and No Boys?

Page: M4-89A

Lesson: 3. Pet Shop Probability

Page: M4-101A

Lesson: 4. On a Hot Streak

Page: M4-113A

b) determine probabilities for independent and dependent

events.

Additional Content:

ATE - Course 2

Module: Analyzing Populations

Topic: Compound Probability

Lesson: 1. Evens or Odds?

Page: M4-73A

Lesson: 2. Three Girls and No Boys?




Page: M4-89A

Lesson: 3. Pet Shop Probability

Page: M4-101A

Lesson: 4. On a Hot Streak

Page: M4-113A

CT-MATHia

Module: Data Comparison and Probability

Unit: Introduction to Probability

Workspace: 3. Calculating Compound Probability










a) represent numerical data in boxplots;

Additional Content:

ATE - Course 1

Module: Describing Variability of Quantities

Topic: Numerical Displays of Data

Lesson: 2. Box it Up

Page: M5-87A

CT - MATHia

Module: Measures of Central Tendency and Data Displays

Unit: Box Plots

Workspace: 1. Constructing Box Plots

b) make observations and inferences about data

represented in boxplots; and

Additional Content:

ATE - Course 1




Page: M5-87A

CT - MATHia




Module: Measures of Central Tendency and Data Displays

Unit: Box Plots

Workspace: 2. Interpreting Box Plots

c) compare and analyze two data sets using boxplots.

Additional Content:

ATE - Course 1




Page: M5-87A





2016 Seven Mathematics Standards of Learning




8.13 The student

a) represent data in a scatterplots;

ATE:

Module: Developing Function Foundations

Topic: Patterns in Bivariate Data

Lesson: 1. Pass the Squeeze

Page: M2-267A

Lesson: 3. Mia is Growing Like a Weed

Page: M2-305A

Lesson: 4. The Stroop Test

Page: M2-319A

b) make observations about data represented in

scatterplots; and

ATE:




Page: M2-267A

Lesson: 2. Where Do You Buy Your Books

Page: M2-289A


Page: M2-305A





Page: M2-319A

c) use a drawing to estimate the line of best fit for data

represented in a scatterplot.

ATE:




Page: M2-289A


Page: M2-305A


Page: M2-319A

CT-MATHia:

Module: Bivariate Data

Unit: Lines of Best Fit

Workspace:

1.Estimating Lines of Best Fit

2. Using Lines of Best Fit










a) evaluate an algebraic expression for given replacement

values of the variables; and

ATE:


Topic: Linear Relationships

Lesson: 1. U.S. Shirts

Page: M2-81A

Lesson: 6. The Arts are Alive

Page: M2-151A

CT-MATHia

Module: Numeric and Algebraic Expressions

Unit: Algebraic Expressions

Workspaces:

2: Evaluating Multi-Step Expressions

3: Evaluating Expressions with Multiple Variables




b) simplify algebraic expressions in one variable.

ATE:




Page: M2-267A


Page: M2-289A


Page: M2-305A


Page: M2-319A

CT-MATHia

Module: Numeric and Algebraic Expressions

Unit: Algebraic Expressions

Workspaces:

2: Evaluating Multi-Step Expressions

3: Evaluating Expressions with Multiple Variables










a) determine whether a given relation is a function; and

ATE:


Topic: Introduction to Functions

Lesson: 1. Patterns, Sequences, Rules…

Page: M2-179A

Lesson: 3. One or More Xs to One Y

Page: M2-205A

Lesson: 4. Over the River and Through the Woods

Page: M2-223A

CT-MATHia:

Module: Functions and Linear Models

Unit: Relations and Functions

Workspaces:

1. Exploring Functions

2. Exploring Graphs of Functions

3. Classifying Relations and Functions




b) determine the domain and range of a function.

ATE:


Topic: Introduction to Functions

Lesson: 2. Once Upon a Graph

Page: M2-189A

CT-MATHia:


Unit: Relations and Functions

Workspaces:

1. Exploring Functions

4. Identifying Key Characteristics of Functions










a) recognize and describe the graph of a linear function

with a slope that is positive, negative, or zero;

ATE:


Topic: From Proportions to Linear Relationships

Lessons:

2: Jack and Jill Went Up the Hill

Page: M2-23A

3: Slippery Slopes

Page: M2-4A

4: Up, Down, and All Around

Page: M2-53A

b) identify the slope and y-intercept of a linear function,

given a table of values, a graph, or an equation in

y = mx + b form;

ATE:



Lessons:

1: U.S. Shirts

Page: M2-81A

2: At the Arcade

Page: M2-93A

3:Dining, Dancing and Driving

Page: M2-109A




4: Derby Day

Page: M2-119A

CT-MATHia:


Unit: Writing Equations of Lines

Workspace: 5. Modeling Linear Functions Using Multiple

Representations

c) determine the independent and dependent variable,

given a practical situation modeled by a linear

function;

ATE:



Lesson: 3. Dining, Dancing and Driving

Page: M2-109A

CT-MATHia:



Workspace: 5. Modeling Linear Functions Using Multiple

Representations

d) graph a linear function given the equation in

y = mx + b form; and

ATE:



Lesson: Derby Day

Page: M2-119A

CT- MATHia:


Unit: Linear Models

Workspaces: 1: Graphing Given Slope and y-Intercept

2: Graphing Given a decimal slope and y-intercept




e) make connections between and among representations

of a linear function using verbal descriptions, tables,

equations, and graphs.

ATE:



Lessons:

1: U.S. Shirts

Page: M2-81A

2: At the Arcade

Page: M2-93A

3: Dining, Dancing and Deriving

Page: M2-109A

4: Derby Day

Page: M2-119A

5: What's the Point?

Page: M2-135A

6: The Arts are Alive

Page: M2-151A

CT-MATHia:



Workspace: Modeling Linear Functions Using Multiple

Representations









8.17 The student will solve multistep linear equations in one

variable with the variable on one or both sides of the

equation, including practical problems that require the

solution of a multistep linear equation in one variable.

ATE:

Module: Modeling Linear Equations

Topic: Solving Linear Equations

Lessons:

1. Strategic Solving

Page: M3-7A

2. MP3s and DVDs

Page: M-17A

3. Tic-Tac-Bingo

Page: M3-31A

CT-MATHia

Module: Linear Equations

Unit: Solving Linear Equations

Workspaces:

1. Solving Two-step Equations

2. Solving Multi-step Equations

Module: Systems of Linear Equations

Unit: Linear Equations with Variables on Both Sides

Workspaces:

1: Solving with Integers (No Type In)

2: Solving with Integers (Type In)




3: Solving Equations with One Solution, Infinite and No

Solutions

8.18 The student will solve multistep linear inequalities

in one variable with the variable on one or both sides of

the inequality symbol, including practical problems, and

graph the solution on a number line.

Additional Content:

ATE - Course 2

Module: Reasoning Algebraically

Topic: Two-Step Equations and Inequalities

Lesson: 4. Be Greater Than

Page: M3-95A

CT-MATHia

Module: Algebraic Expressions

Unit: Solving Two-Step Inequalities

Workspaces:

1: Graphing Inequalities with Rational Numbers

2: Solving Two-Step Linear Inequalities

Module: Multiple Representations of Equations

Unit: Problem Solving with Two-Step Equations and

Inequalities

Workspace: 1: Using Linear Equations and Inequalities

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