80402566 Holt McDougal Larson Common Core Editions Overview

Challenging Math Textbooks for a Competitive Future

Holt McDougal Larson Common Core Editions

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Chapter 1 Expressions, Equations, and Functions

Chapter 2 Solving Linear Equations

Chapter 3 Graphing Linear Equations and Functions

Chapter 4 Writing Linear Equations

Chapter 5 Solving and Graphing Linear Inequalities

Chapter 6 Systems of Equations and Inequalities

Chapter 7 Exponents and Exponential Functions

Chapter 8 Polynomials and Factoring

Chapter 9 Quadratic Equations and Functions

Chapter 10 Data Analysis

Chapter 11 Probability

• Animated Algebra• @HomeTutor• eWorkbook• Vocabulary Flip Cards• Games and Activities• Test Practice

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Common Core Edition LogoUpdated: 11/18/10

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Chapter 1 Essentials of Geometry

Chapter 2 Reasoning and Proof

Chapter 3 Parallel and Perpendicular Lines

Chapter 4 Congruent Triangles

Chapter 5 Relationships within Triangles

Chapter 6 Similarity

Chapter 7 Right Triangles and Trigonometry

Chapter 8 Quadrilaterals

Chapter 9 Properties of Transformations

Chapter 10 Properties of Circles

Chapter 11 Measurement of Figures and Solids

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• Animated Geometry• @HomeTutor• eWorkbook• Vocabulary Flip Cards• Games and Activities• Test Practice

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Chapter 1 Quadratic Functions and Factoring

Chapter 2 Polynomials and Polynomial Functions

Chapter 3 Rational Exponents and Radical Functions

Chapter 4 Exponential and Logarithmic Functions

Chapter 5 Rational Functions

Chapter 6 Data Analysis and Statistics

Chapter 7 Sequences and Series

Chapter 8 Quadratic Relations and Conic Sections

Chapter 9 Trigonometric Ratios and Functions

Chapter 10 Trigonometric Graphs, Identities, and Equations



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pathways For a competItIVe Future

Holt McDougal Larson Algebra 1, Geometry, and Algebra 2 promote adeeper understanding of math concepts so students can extend their math knowledge and foster innovative thinking outside the math classroom.

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➟ ➟ ➟

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LarsonAlgebra 1 Grade 8

LarsonAlgebra 1Grade 9

LarsonGeometryGrade 9

Larson GeometryGrade 10

LarsonAlgebra 2 Grade 10

On Level Pathways

Accelerated Pathways

1

•Holt McDougal Larson Algebra 1, Geometry, and Algebra 2 deliver a rigorous curriculum by including the 9-12 Common Core Plus Standards, presenting content that prepares students for STEM careers.

•The integration of the Standards for Mathematical Practices in every lesson takes students to the next level of comprehension and conceptual understanding.

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Algebra 2Grade 11

LarsonPre-Calculuswith Limits

A Graphing ApproachGrade 11

LarsonPre-Calculuswith Limits

Grade 12

LarsonCalculus of a

Single VariableGrade 12

LarsonCalculusGrade 12

2

a step Beyond the common core

The Common Core Plus Standards embedded in the content of Holt McDougal Larson Algebra 1, Geometry, and Algebra 2 focus on the depth of instruction that allows students to extend their math knowledge as they prepare for advanced mathematics courses.

The new On Core Activity Generator provides asearchable database of additional worksheets,projects, and hands-on activities correlated to the Common Core State Standards. It helps teachers focus on the Standards for Mathematical Practices.

•Persevere

•Reason

•Critique

•Model

•Be Strategic

•Attend to Precision

•Look for Regularity

•Use Structure

3

the next leVel oF comprehensIon

With greater emphasis on the Standards for Mathematical Practice, Holt McDougal Larson Algebra 1, Geometry, and Algebra 2 include numerous opportunities for students to experience these key standards for 21st century success.

The Deluxe On Core ExamView® 6–12 Assessment Suite CD-ROM contains a robust bank of questions correlated to the Common Core State Standards for teachers to use as formative and summative Assessments.

• Correlated to the Common Core State Standards

• Test items reflect Depth of Knowledge levels required for mastery of the Common Core State Standards

• Create, edit, customize, and save questions

• Supports all math programs

Over 7,000 Test Items

Attend to Precision–Multiple Representation and Extended

Response exercises ask students to explain their reasoning to help

them learn to communicate mathematics precisely.

Persevere in Problem Solving-Problem Solving Workshops and Verbal models found in every chapter help students translate the information in problems, analyze the solution, and encourage new learning.

4

dIgItal delIVery For the dIgItal natIVe

Our students are digital natives and Holt McDougal Larson Algebra 1, Geometry, and Algebra 2 provides instruction that connects to today’s students.

Backpacks get lighter with Holt McDougal

mathematics eTextbooks.

5

New Teacher One Stop™ with interactive Teacher’s Edition, editable/printable worksheets, Calendar Planner, ExamView Assessment Suite, Power Presentations, and PuzzleView makes planning easy.

TI-nSpire® activities, developed exclusively for Holt McDougal, allow students and teachers to use the latest TI® Graphing Calculator to complete real world tasks.

Our new website provides support for both teachers and students with Online Student

and Teacher’s Editions, Activitiesand Videos, Lesson Resources,

and Teacher’s Resources.

The Interactive Answers and Solutions CD-ROM enables teachers to

customize and project answer keys for specific assignments, and to

display any stepped-out solutions with the click of the mouse.

6

paVIng the way to hIgher mathematIcs

Holt McDougal Larson Algebra 1, Geometry, and Algebra 2 provide a superior foundation for the study of higher level mathematics.

Embedded advanced differentiation instruction

strategies and Pre-AP* math resources within each

chapter prepare students for higher mathematics courses.

7

It's all aBout you!Your Customized Math Textbook Program

Like what you see but not in the order that you want it? Customize your Holt McDougal Larson Algebra 1, Geometry, and Algebra 2 program through Custom Solutions.

Provide a truly customized experience for your district or school. Holt McDougal’s Custom Solutions go beyond the Student Edition—it also customizes the Teacher Edition, Ancillaries, ExamView Assessment Suite, and the Online Textbook.

Downloadable Spiral Review is organized by chapter and lesson and is correlated to state standards.

The Student eEdition is designed to allow

students to easily navigate the site.

A huge factor for choosing Houghton Mifflin Harcourt was that our team quickly became very excited to have the option of customization. We have been able to customize the scope and sequence of our text’s chapters so it truly fits our district curriculum mapfor Algebra 2, rather than having to change our map to fit the text.

Dave Sawtelle, K–12 Mathematics Specialist, Colorado Springs School District 11

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“

8

common core standards support

A complete companion for transitioning to the Common Core State Standards.

1465508

On Core Mathematics provides complete coverage

of the Common Core State Standards for Mathematics,

including the Standards for Mathematical Practice, for

Kindergarten through Algebra 2.

Also available:

On Core Mathematics Student Edition

· Provides instruction for all Common Core State Standards

· Deepens understanding through real-world applications

· Promotes interest through interactive learning

On Core Activity Generator

· Searchable database of additional worksheets, projects, and

hands-on activities

· Correlated to the Common Core State Standards

· Helps teachers focus on the Standards for Mathematical Practice

Deluxe On Core ExamView® 6–12 Assessment Suite CD-ROM

· Robust bank of assessment items for regular or accelerated pathways

· Correlated to the Common Core State Standards and organized by

depth of knowledge

· Perfect for formative and summative assessments

· Also helps students prepare for national assessments 978-0-547-61723-7

• Lesson background for all Common Core topics

• Questioning strategies to prompt discussions

• Strategies to integrate the Standards for

Mathematical Practice daily

• Suggestions for differentiating instruction1465510




Kindergarten through Algebra 2.

Also available:






· Searchable database of additional worksheets, projects, and

hands-on activities






depth of knowledge


· Also helps students prepare for national assessments

978-0-547-61726-8




Mathematical Practice daily


On Core Mathematics provides complete coverage of the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice, for Kindergarten through Algebra 2.

Also available:

On Core Mathematics Student Edition · Provides instruction for all Common Core State Standards · Deepens understanding through real-world applications · Promotes interest through interactive learning

On Core Activity Generator · Searchable database of additional worksheets, projects, and hands-on activities

· Correlated to the Common Core State Standards · Helps teachers focus on the Standards for Mathematical Practice Deluxe On Core ExamView® 6–12 Assessment Suite CD-ROM · Robust bank of assessment items for regular or accelerated pathways · Correlated to the Common Core State Standards and organized by depth of knowledge · Perfect for formative and summative assessments · Also helps students prepare for national assessments

978-0-547-61724-4

• Lesson background for all Common Core topics• Questioning strategies to prompt discussions• Strategies to integrate the Standards for

Mathematical Practice daily• Suggestions for differentiating instruction


Also available:






· Searchable database of additional worksheets, projects, and hands-on activities





· Correlated to the Common Core State Standards and organized by depth of knowledge



1465500

978-0-547-61745-9



• Strategies to integrate the Standards for Mathematical Practice daily



Also available: On Core Mathematics Student Edition · Provides instruction for all Common Core State Standards

· Deepens understanding through real-world applications · Promotes interest through interactive learning On Core Activity Generator · Searchable database of additional worksheets, projects, and

hands-on activities · Correlated to the Common Core State Standards · Helps teachers focus on the Standards for Mathematical Practice Deluxe On Core ExamView® 6–12 Assessment Suite CD-ROM · Robust bank of assessment items for regular or accelerated pathways


depth of knowledge · Perfect for formative and summative assessments · Also helps students prepare for national assessments

978-0-547-61744-2

• Lesson background for all Common Core topics• Questioning strategies to prompt discussions• Strategies to integrate the Standards for Mathematical Practice daily• Suggestions for differentiating instruction

1465502




Kindergarten through Algebra 2.Also available: On Core Mathematics Student Edition




On Core Activity Generator · Searchable database of additional worksheets, projects, and

hands-on activities · Correlated to the Common Core State Standards





depth of knowledge · Perfect for formative and summative assessments


978-0-547-61750-3 • Lesson background for all Common Core topics



Mathematical Practice daily• Suggestions for differentiating instruction

The On Core Mathematics Teacher Edition provides lesson background for topics or skills covered in the lesson, questioning strategies to prompt classroom discussions, strategies on how to integrate the Standards for Mathematical Practice into every lesson, and suggestions for differentiating instruction.

Bring lessons to life while focusing on the Common Core Standards with On Core Interactive Whiteboard Lessons.

9

The On Core Mathematics Student Worktext allows students to actively participate in every aspect of the lesson. This interaction promotes a deeper understanding of the mathematics.

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Modeling Fraction Division

You have 3 _ 4 cup of salsa for making burritos. Each burrito requires

1 _ 8 cup of salsa. How many burritos can you make?

To find the number of burritos that can be made, you need to determine how many 1 __ 8 s are in 3 __ 4 .

How many 1 __ 8 s are there in 3 __ 4 ?

You have enough salsa to make burritos.

REFLECT

1a. Division can be checked by using multiplication. What would you multiply to check your answer above?

TRY THIS!

1b. How many burritos could you make with 1 __ 2 cup of salsa?

1c. Five people share 1 __ 2 pound of chocolate equally. How much chocolate

does each person receive? pound

E X P L O R E1

Dividing FractionsEssential question: How do you divide fractions?

Unit 1 7 Lesson 2

QTC: Art scaled at 50%

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Name Class Date UNIT 1

CC.6.NS.1CC.6.NS.2CC.6.NS.3CC.6.NS.4

SeatingThe cost sheet shows the types of tables available, the cost per table, and the cost per tablecloth.

How many round tables would be necessary to seat all of the guests?

How many rectangular tables would be necessary to seat all of the guests?

Which table, round or rectangular, would be cheaper for the reunion? How much cheaper?

A name card will be placed at each seat. Elizabeth finds that 36 name cards come in a package. How many packages will she need? Explain.

1

A

B

C

D

Type of Table SeatsCost per Table ($)

Cost per Tablecloth ($)

Round 8 5.00 3.75

Rectangular 12 7.50 4.35

Problem Solving ConnectionsWelcome Back! Elizabeth is an event planner who has been hired to plan a class reunion. The class has 275 people and 256 will be attending. Elizabeth must plan the seating, decorations, and food. She then needs to determine how much to charge each guest so that all costs are covered.

Unit 1 29 Problem Solving Connections

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Writing Equations for Quadratic Functions

Write the equation for the quadratic function whose graph is shown.

A Compare the given graph to the graph of the parent function f (x) = x 2 .

Complete the table below to describe how the parent function must be translated to get the graph shown here.

B Determine the values of h and k for the function g(x) = (x - h) 2 + k.

h• is the number of units that the parent function is translated horizontally. For a translation to the right, h is positive; for a translation to the left, h is negative.

k• is the number of units that the parent function is translated vertically. For a translation up, k is positive; for a translation down, k is negative.

So, h = and k = . The equation is .

REFLECT

4a. What can you do to check that your equation is correct?

4b. If the graph of a quadratic function is a translation of the graph of the parent function, explain how you can use the vertex of the translated graph to help you determine the equation for the function.

4c. Error Analysis A student says that the graph of g(x) = (x + 2) 2 + 1 is the graph of the parent function translated 2 units to the right and 1 unit up. Explain what is incorrect about this statement.

E X aM P L E4

Type of Translation Number of Units Direction

Horizontal Translation

Vertical Translation

Unit 7 4 Lesson 1

-5 -3-4 -1-2 0 1 2 3 4 5 -5 -3-4 -1-2 0 1 2 3 4 5

-5 -3-4 -1-2 0 1 2 3 4 5 -1 0 1

-5 -3-4 -1-2 0 1 2 3 4 5 -5 -3-4 -1-2 0 1 2 3 4 5

-1 0 1 -1-2 0

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p r a c t i c E

1. 3 + (-8) =

3. -4 + 9 =

2. -1 1 __ 2 + ( -2 1 __ 2 ) =

4. 1 __ 4 + ( - 3 __ 4 ) =

5.

7.

6.

8.

9. -31 + 16 =

12. -40 + (-18) + 40 =

10. -15.3 + (-12.1) =

13. 15 + (-22) + 9 =

11. 24 1 __ 3 + ( -54 1 __ 3 ) =

14. -1 + 1 + (-25) =

15. Describe a real-world situation that can be represented by the expression -10 + (-2). Then find the sum and explain what it represents in terms of the situation.

16. A contestant on a game show has 30 points. She answers a question correctly to win 15 points. Then she answers a question incorrectly and loses 25 points. What is the contestant’s final score?

17. Error Analysis A student evaluated -4 + x for x = -9 and got an answer of 5. What might the student have done wrong?

Use a number line to find each sum.

Tell what sum is modeled on each number line. Then find the sum.

Find each sum without using a number line.

Unit 1 10 Lesson 2

COMMON CORE

hmheducation.com/commoncore

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REFLECT




E X aM P L E4




Unit 7 4 Lesson 1

> >

> >

Interact connect

reflect Practice

Students actively participate in every aspect of a lesson. This interactivity promotes a deeper understanding of the mathematics.

Problem-solving connections help students pull together the mathematical concepts and skills taught in the unit and apply them to real-world situations.

Reflect questions challenge students to think about the mathematics that they are studying and share their understanding with the class.

On Core worktexts integrate the Standards of Mathematical Practice throughout the students’ learning, helping students master both content and practice standards.

34

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Mif

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Name Class Date 1-2

CC.6.NS.1

Modeling Fraction Division

You have 3 _ 4 cup of salsa for making burritos. Each burrito requires

1 _ 8 cup of salsa. How many burritos can you make?

To find the number of burritos that can be made, you need to determine how many 1 __ 8 s are in 3 __ 4 .

How many 1 __ 8 s are there in 3 __ 4 ?

You have enough salsa to make burritos.

REFLECT

1a. Division can be checked by using multiplication. What would you multiply to check your answer above?

TRY THIS!

1b. How many burritos could you make with 1 __ 2 cup of salsa?

1c. Five people share 1 __ 2 pound of chocolate equally. How much chocolate

does each person receive? pound

E X P L O R E1

Dividing FractionsEssential question: How do you divide fractions?

Unit 1 7 Lesson 2

QTC: Art scaled at 50%

© H

ou

gh

ton

Mif

flin

Har

cou

rt P

ub

lish

ing

Co

mp

any

Name Class Date UNIT 1

CC.6.NS.1CC.6.NS.2CC.6.NS.3CC.6.NS.4

SeatingThe cost sheet shows the types of tables available, the cost per table, and the cost per tablecloth.

How many round tables would be necessary to seat all of the guests?

How many rectangular tables would be necessary to seat all of the guests?

Which table, round or rectangular, would be cheaper for the reunion? How much cheaper?

A name card will be placed at each seat. Elizabeth finds that 36 name cards come in a package. How many packages will she need? Explain.

1

A

B

C

D

Type of Table SeatsCost per Table ($)

Cost per Tablecloth ($)

Round 8 5.00 3.75

Rectangular 12 7.50 4.35

Problem Solving ConnectionsWelcome Back! Elizabeth is an event planner who has been hired to plan a class reunion. The class has 275 people and 256 will be attending. Elizabeth must plan the seating, decorations, and food. She then needs to determine how much to charge each guest so that all costs are covered.

Unit 1 29 Problem Solving Connections

20

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-2-2

4

4

6 8

6

8

x

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REFLECT




E X aM P L E4




Unit 7 4 Lesson 1

-5 -3-4 -1-2 0 1 2 3 4 5 -5 -3-4 -1-2 0 1 2 3 4 5

-5 -3-4 -1-2 0 1 2 3 4 5 -1 0 1

-5 -3-4 -1-2 0 1 2 3 4 5 -5 -3-4 -1-2 0 1 2 3 4 5

-1 0 1 -1-2 0

© H

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p r a c t i c E

1. 3 + (-8) =

3. -4 + 9 =

2. -1 1 __ 2 + ( -2 1 __ 2 ) =

4. 1 __ 4 + ( - 3 __ 4 ) =

5.

7.

6.

8.

9. -31 + 16 =

12. -40 + (-18) + 40 =

10. -15.3 + (-12.1) =

13. 15 + (-22) + 9 =

11. 24 1 __ 3 + ( -54 1 __ 3 ) =

14. -1 + 1 + (-25) =

15. Describe a real-world situation that can be represented by the expression -10 + (-2). Then find the sum and explain what it represents in terms of the situation.

16. A contestant on a game show has 30 points. She answers a question correctly to win 15 points. Then she answers a question incorrectly and loses 25 points. What is the contestant’s final score?

17. Error Analysis A student evaluated -4 + x for x = -9 and got an answer of 5. What might the student have done wrong?

Use a number line to find each sum.

Tell what sum is modeled on each number line. Then find the sum.

Find each sum without using a number line.

Unit 1 10 Lesson 2

COMMON CORE

hmheducation.com/commoncore

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REFLECT




E X aM P L E4




Unit 7 4 Lesson 1

> >

> >

Interact connect

reflect Practice

Students actively participate in every aspect of a lesson. This interactivity promotes a deeper understanding of the mathematics.

Problem-solving connections help students pull together the mathematical concepts and skills taught in the unit and apply them to real-world situations.

Reflect questions challenge students to think about the mathematics that they are studying and share their understanding with the class.

On Core worktexts integrate the Standards of Mathematical Practice throughout the students’ learning, helping students master both content and practice standards.

800.225.5425 • hmheducation.com

holt mcdougal larson program components

other programs aVaIlaBle From holt mcdougal

Holt McDougal Algebra 1, Geometry, and Algebra 2Big Ideas Math® Grades 6-8

ExamView® is a registered trademark of eInstruction Corporation. TI® and TI-Nspire® are registered trademarks of Texas Instruments Incorporated. Teacher One Stop™ and Holt McDougal are trademarks of HMH Publishers LLC. *Pre-AP is a registered trademark of the College Entrance Examination Board, which was not involved in the production of, and does not endorse, these products. © Houghton Mifflin Harcourt Publishing Company. All rights reserved. Printed in the U.S.A. 01/12 MS35127

•Student Edition

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•Assessment Book

•Remediation Book

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•Teacher One-Stop DVD

•Interactive Answers and Solutions DVD

•Online Student and Teacher Editions

•On Core Deluxe ExamView 6-12

•On Core High School Activity Generator

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80402566 Holt McDougal Larson Common Core Editions Overview