| mathematics€¦ · individual materials for primary grade levels manipulative kit for grades...

| M AT H E M AT I C S

| G R A D E S K–1 2 |

N G L .C E N GAG E .C OM /M I S S I S S I P P I

M I S S I S S I P P I

National Geographic Learning proudly represents Big Ideas Math® programs

http://ngl.cengage.com/school

http://NGL.Cengage.com/MISSISSIPPI

N AT I O N A L G EO G R A P H I C L E A R N I N G · N G L .C E N GAG E .C OM /M I S S I S S I P P I 1


K–12 Mathematics Catalog

Grades K–5 .......................................................... Pages 2–7

Grades 6–8 ........................................................... Pages 8–13

Algebra 1, Geometry, and Algebra 2 ........ Pages 14–15

Advanced, Honors, and Electives ............. Pages 15

Learn more at NGL.Cengage.com/Mississippi

National Geographic Learning Mississippi Sales Consultant Team

Grades K–8Bill Stone, M.Ed800-543-0487 Ext. 11553

[email protected]

Grades 9–12Kyle Rapp800-543-0487 Ext. 11445

[email protected]

Mississippi Math Engagement ConsultantRobin LeFevre513-229-1541

[email protected]

Director of Sales OperationsLisa Williams814-823-5207

[email protected]

National Education ConsultantJulien Wray814-969-0026

[email protected]

Mathematics ConsultantKelsea Whittemore814-969-0943

[email protected]

http://www.NGL.CENGAGE.COM/MISSISSIPPI

http://NGL.Cengage.com/MISSISSIPPI

mailto:william.stone%40cengage.com%20?subject=

mailto:kyle.rapp%40cengage.com%20?subject=

mailto:robin.lefevre%40cengage.com%20%20%20?subject=

mailto:lisawilliams%40larsontexts.com%20?subject=

mailto:jwray%40larsontexts.com%20?subject=

mailto:kwhittemore%40larsontexts.com%0D?subject=

N AT I O N A L G EO G R A P H I C L E A R N I N G · N G L .C E N GAG E .C OM /M I S S I S S I P P I2 3

M I S S I S S I P P IK–12 Mathematics

Grade K Student Edition set (2 volume consumable) 9781635989021

Teaching Edition set (2 volumes) 9781635989045

Student Edition Set, (5 years) 9781642082272 (2 volume consumable)

Enhanced Student Resource Package (5 years) 9781635989557

Enhanced Student Resource Package (1 year) 9781635989519

Teacher Resource Package (5 years) 9781635989618

Teacher Resource Package (1 year) 9781635989571

Student Edition Volume 1 9781635988710


Teaching Edition Volume 1 9781635988734


Online Student Resources (5 years) 9781635989434

Online Student Resources (1 year) 9781635989397

Assessment Book 9781635989311

Resources by Chapter Set, (2 Volumes) 9781635989342

Resources by Chapter Volume 1 9781635989328


Instructional Resources 9781635989359

Math Musicals: Newton & Descartes’s 9781635988987 Coolest Rockin’ Day Ever

Grade 3 Student Edition set (2 volume consumable) 9781635989113


















Math Musicals: Newton & Descartes’s 9781635989205 Night in Madrid

Ron Larson and Laurie Boswell ©2019







Student Edition Set, (5 years ) 9781642082425 (2 volume consumable)
















Math Musicals: Newton & Descartes’s 9781635989007 Day at the Beach



















Math Musicals: Newton & Descartes’s 9781635989212 Skate Park Adventure



















Math Musicals: Newton & Descartes’s 9781635989199 Four Legged Fun

Individual Materials for Primary Grade Levels Manipulative Kit for Grades K–2 9781635989373

Literature Kit for Grades K–2 9781635989380

Supplemental Manipulative Kit for Grades K–2 9781642453164

Ron Larson and Laurie Boswell ©2019Grade 5 Student Edition set (2 volume consumable) 9781635989151


















Math Musicals: Newton & Descartes’s 9781635989229 Skate Park Adventure

Individual Materials for Intermediate Grade Levels Manipulative Kit for Grades 3–5 9781642080162

Literature Kit for Grades 3–5 9781642083088

Supplemental Manipulative Kit for Grades 3–5 9781642453171

Skills Review Handbook 9781642080155

Differentiated Rich Math Tasks for Grades K–5 9781642083040

Teacher Resources Online (5 years) 9781635989496

Teacher Resources Online (1 year) 9781635989458

Newton Puppet 9781635989175

Descartes Puppet 9781635989182

Professional Development Basic 9781642083064 Implementation K-8

Professional Development Customized 9781642083071 Implementation K-8

Big Ideas Math: Modeling Real Life Grades K–5Grade K Grade 1 Grade 2 Grade 3 Grade 4 Grade 5

• Enhanced Student Resource Package contains 1- or 5- year Student Edition Volumes 1 & 2 (consumable) and 1- or 5-year access to Online Student Resources.

• Teacher Resource Package contains 1- or 5-year access to Teacher Resources Online

and the following print materials (1 of each): Teaching Edition Volumes 1 & 2, Assessment Book, Resources by Chapter Volumes 1 & 2, Instructional Resources Book, Math Musicals storybook, Newton and Descartes Puppet set, Skills Review

Handbook, and Differentiated Rich Math Tasks for Grades K–5




Grades K–5 TechnologyBig Ideas Math: Modeling Real Life comes with an innovative and dependable technology package that supports and enhances instruction for teachers and students.

Dynamic Student EditionThe Dynamic Student Edition is a complete, interactive version of the Student Edition. Students have access to interactive explorations, digital examples, virtual manipulatives, Lesson Tutorial Videos (Grades 3–5), and digital exercises from the textbook.

Dynamic Assessment SystemWith the Dynamic Assessment System, teachers can build customizable assessments with Big Ideas Math question banks aligned to the Mississippi College- and Career-Readiness Standards. They can also create and edit their own unique items!

Question types include a variety of technology-enhanced items, such as drag-and-drop, graphing, point plotting, multiple select, multiple choice, and more. Responses are automatically scored except for the essay question type, which allows students to provide explanations of their reasoning.

The reports in this system provide the feedback teachers need to drive instruction. Students complete the assignments online and can receive immediate feedback on their progress.

STEAM VideosSTEAM Videos, which are available for Grades 3–5, allow students to see mathematics in real life.

STEAM Performance Tasks make further connections to the mathematical content. Students learn about animals, electricity, sea levels, constellations, and more!

Math MusicalsMath Musicals are a fun way of bringing music and literature into your math classroom. Big Ideas Math’s own Newton, the dog, and Descartes, the cat, team up to provide educational stories, songs, and animations to enhance student learning.

Math Musicals bring fun into the classroom with engaging songs that support concepts with patterns, rhythm, and rhymes.

Dynamic Classroom The Dynamic Classroom mimics the students’ Dynamic Student Edition, with additional resources and support for teachers. Interactive explorations and examples from the textbook create a 21st-century classroom atmosphere that engages students. Point-of-use Laurie’s Notes guide instruction with motivation suggestions, teaching tips, questions to ask the students, closure strategies, and more!

Skills TrainerThe Skills Trainer is an online interactive tool for skill practice that comes with detailed reports for teachers to gain insight into each student’s proficiency. Students have access to every skill found within the Modeling Real Life series, as well as skills from Algebra 1, Geometry, and Algebra 2.

The Skills Trainer can be used to engage students in remediation or as the daily warm-up for the lessons!

Formative CheckThe Formative Check provides teachers with immediate feedback on student progress, making it easy to differentiate and provide support where it is needed the most.

Aligned to Mississippi Standards




Grades K–5 AssessmentThe K–5 program offers a variety of opportunities for both formative and summative assessment. Student ownership and accountability for learning is a vital component of fluency with the content, as well as the Mathematical Practices.

Laurie’s Notes and the ELL support provide instructional support for modifying the Performance Task activity for different levels of learners as well as options for individuals, partners, and small groups.

Grade 4 Performance Task

The Performance Task provides students with the opportunity to demonstrate their understanding of the chapter learning targets. It aligns with what was previewed in the Performance Task Preview.

The evaluation table lays out a point structure for ease of grading and evaluation.

http://www.bigideasmath.com

Online Assessment With the Dynamic Assessment System, teachers can build customizable assessments aligned to the Mississippi College- and Career-Readiness Standards. They can also create and edit their own unique items!

Question types include a variety of technology-enhanced items, such as drag-and-drop, graphing, point plotting, multiple select, multiple choice, essay, and more. Students can prepare every step of the way.


Copyright © Big Ideas Learning, LLC Big Ideas Math: Modeling Real Life Grade 2 All rights reserved. Assessment Book

5

Grade

2 Pre-Course Test

Name _________________________________________

1. Write the even number as the sum of two equal numbers.

2. ____ rows of ____

____ + ____ + ____ = ____

3. 12 − 6 = ____ 4. 32 + 39 = ____

6. 12 kids are at the zoo. 7 of them leave. 8 more kids come to the zoo. How many kids are at the zoo now?

____ kids

5. 1 4 4 9

+ 2 8

7. Compare.

507 470

8. 100 less than 769 is ____.

9. Write the number nine hundred seventy-one in standard form.

____

10. 4 0 7 − 2 1 5

12 = ____ + ____

11. Count by fives. 315, 320, 325, ____, ____, ____, ____

Chapter Tests are available in the Assessment Book. Additional assessment opportunities include Course Benchmark Tests (Pre-Course, Post-Course, and Cumulative), as well as Prerequisite Skills Practice.

Copyright © Big Ideas Learning, LLC Big Ideas Math: Modeling Real Life Grade 2 All rights reserved. Assessment Book

9

Chapter

1 Test A

Name _________________________________________

1. Is the number of butterflies even or odd?

Even Odd

2. Write the even number as the sum of two equal numbers.

14 = ____ + ____

3.

____ rows of ____

____ + ____ + ____ + ____ + ____ = ____

4. You have 4 bags. There are 2 soccer balls in each bag. How many soccer balls are there in all?

____ soccer balls

5. A bookcase has 3 shelves. There are 4 games on each shelf. How many games are there in all?

____ + ____ + ____ = ____ ____ games

The Teaching Edition also includes an alternative assessment option to support multiple learning styles and meet the needs of all students.

Laurie’s NotesPerformance Task Preview

● Preview the page to gauge students’ prior knowledge about fl uently adding within 100.

“What sports do you play? What activities do you do? Do you like to swim?” Students will be excited to share the sports and activities they participate in after school and on the weekends.

“It takes you 34 seconds to swim from one end of a pool to the other. It takes you 38 seconds to swim back. How many seconds do you swim in all?” 72 seconds

● In the Performance Task at the end of the chapter, students will use the number of laps you swim in a pool and the number of students signed up for swim lessons to add fl uently within 100.

T-157 Chapter 4

FLA_Gr_2_TE_CH_04.indb EV 3/27/18 12:29 PM

• Do you like to swim?• It takes you 34 seconds to swim

from one end of a pool to the other. It takes you 38 seconds to swim back. How many seconds do you swim in all?

Chapter Learning Target: Understand addition.

Chapter Success Criteria: ■ I can identify addition patterns.■ I can explain which strategy I used

to write a sum.■ I can write a sum.■ I can solve addition problems.

4

one hundred fty-seven 157

Fluently Add within 100

© B

ig Id

eas

Lear

ning

, LLC

FL_2_Elem_04.indb 157 3/26/18 11:01 AM

Laurie’s NotesPerformance Task Preview

● Preview the page to gauge students’ prior knowledge about fl uently adding within 100.

“What sports do you play? What activities do you do? Do you like to swim?” Students will be excited to share the sports and activities they participate in after school and on the weekends.

“It takes you 34 seconds to swim from one end of a pool to the other. It takes you 38 seconds to swim back. How many seconds do you swim in all?” 72 seconds

● In the Performance Task at the end of the chapter, students will use the number of laps you swim in a pool and the number of students signed up for swim lessons to add fl uently within 100.

T-157 Chapter 4

FLA_Gr_2_TE_CH_04.indb EV 3/27/18 12:29 PM

Each chapter opens with a Performance Task Preview. It previews what children will be learning throughout the chapter. The Performance Task Preview is an engaging way to hook them into the content of the chapter with some guiding questions about engaging and relevant topics. Students are given visibility into what will be expected of them at the end of the chapter to ensure accountability for learning.

Chapter Assessment Guide

Task Points

Adding numbers on 2 popsicle sticks

2 points

Adding 3 numbers 2 points

Explaining strategy 2 points

Total 6 points

Chapter tests are available in the Assessment Book. An alternative assessment option is listed below.

IntrapersonalMake 15–20 popsicle sticks with a variety of two-digit numbers between 11 and 55 written on one end. Put them in a cup, with the blank end sticking out (so the numbers are not visible). Call students over individually. Instruct them to choose 2 popsicle sticks and add the numbers. Students can use paper and pencil to do the addition. Then, have students pick 2 more popsicle sticks. Look at the numbers, then provide students with a third two-digit number. Have students add the 3 numbers. (Be careful that the third number you provide is low enough that the fi nal sum will be under 100.) Students can use paper and pencil to do the addition. Ask students to explain to you the strategy they used when adding.

T-212A Chapter 4

FLA_Gr_2_TE_CH_04.indb 212 3/27/18 12:32 PM

Chapter Assessment Guide

Task Points

Adding numbers on 2 popsicle sticks

2 points

Adding 3 numbers 2 points

Explaining strategy 2 points

Total 6 points

Chapter tests are available in the Assessment Book. An alternative assessment option is listed below.

IntrapersonalMake 15–20 popsicle sticks with a variety of two-digit numbers between 11 and 55 written on one end. Put them in a cup, with the blank end sticking out (so the numbers are not visible). Call students over individually. Instruct them to choose 2 popsicle sticks and add the numbers. Students can use paper and pencil to do the addition. Then, have students pick 2 more popsicle sticks. Look at the numbers, then provide students with a third two-digit number. Have students add the 3 numbers. (Be careful that the third number you provide is low enough that the fi nal sum will be under 100.) Students can use paper and pencil to do the addition. Ask students to explain to you the strategy they used when adding.

T-212A Chapter 4

FLA_Gr_2_TE_CH_04.indb 212 3/27/18 12:32 PM




Grade 6 Student Edition 9781635988970

Teaching Edition 9781635988994

Student Journal (Consumable) 9781642080810

Student Journal (5 years) (Consumable) 9781642080872

Student Resources Online (5 years) 9781642080933

Student Resources Online (1 year) 9781642080896


Resources by Chapter 9781642080834

Premium Student Resource Package (5 years) 9781642081176

Premium Student Resource Package (1 year) 9781642081138



Blended Student Resource Package (5 years) 9781642080995

Blended Student Resource Package (1 year) 9781642080957

Print Student Resource Package (5 years) 9781642081053

Print Student Resource Package (1 year) 9781642081015



Grade 6 AdvancedAdvanced Student Edition 9781642450637

Advanced Teaching Edition 9781642083903

Advanced Teaching Edition Bundle 9781642083897

Advanced Student Journal (Consumable) 9781642083910

Advanced Student Journal 9781642084351 (5 years) (Consumable)

Advanced Student Resources Online (5 years) 9781642084801

Advanced Student Resources Online (1 year) 9781642084375

Advanced Resources by Chapter and Assessment Book 9781642086812

Grade 6 Assessment Book, Grade 6 Resources by Chapter, and Grade 6 Advanced Resources by Chapter and Assessment Book Bundle 9781642083927

Advanced Premium Student Resource Package (5 years) 9781642086416

Advanced Premium Student Resource Package (1 year) 9781642086379

Advanced Enhanced Student Resource Package (5 years) 9781642085716

Advanced Enhanced Student Resource Package (1 year) 9781642085952

Advanced Blended Student Resource Package (5 years) 9781642085259

Advanced Blended Student Resource Package (1 year) 9781642084825

Advanced Print Student Resource Package (5 years) 9781642085938

Advanced Print Student Resource Package (1 year) 9781642085679

Advanced Teacher Resource Package (5 years) 9781642086867

Advanced Teacher Resource Package (1 year) 9781642086829






Grade 7 Student Edition 9781635989014


















Grade 7 AdvancedAdvanced Student Edition 9781642450644

Advanced Teaching Edition 9781642451535

Advanced Teaching Edition Bundle 9781642451528

Advanced Student Journal (Consumable) 9781642451542

Advanced Student Journal (5-years) (Consumable) 9781642451603

Advanced Student Resources Online (5 years) 9781642451665

Advanced Student Resources Online (1 year) 9781642451627

Advanced Resources by Chapter and Assessment Book 9781642451566

Grade 8 Assessment Book, Grade 8 Resources by Chapter, and Grade 7 Advanced Resources by Chapter and Assessment Book Bundle 9781642451559

Advanced Premium Student Resource Package (5 years) 9781642451900

Advanced Premium Student Resource Package (1 year) 9781642451863

Advanced Enhanced Student Resource Package (5 years) 9781642451849

Advanced Enhanced Student Resource Package (1 year) 9781642451801

Advanced Blended Student Resource Package (5 years) 9781642451726

Advanced Blended Student Resource Package (1 year) 9781642451689

Advanced Print Student Resource Package (5 years) 9781642451788

Advanced Print Student Resource Package (1 year) 9781642451740

Advanced Teacher Resource Package (5 years) 9781642451962

Advanced Teacher Resource Package (1 year) 9781642451924

Grade 8Student Edition 9781635989052


















Big Ideas Math: Modeling Real Life Grades 6–8Grade 6 Grade 7 Grade 8 Grade 6 Advanced Grade 7 Advanced

• Premium Student Resource Package contains Student Edition, Student Journal, and Student Resources Online (1 or 5 years)

• Enhanced Student Resource Package contains Student Edition and Student Resources Online (Student Journal can be accessed online)

• Blended Student Resource Package contains Print Student Journal and 1- or 5-year access to Student Resources Online (Student Edition can be accessed online)

• Print Student Resource Package contains Student Edition and Student Journal

• Teacher Resource Package* contains 1- or 5-year access to Teacher Resources Online and the following print resources (one of each): Teaching Edition, Assessment Book, Resources by Chapter, Student Journal, Skills Review Handbook, and Rich Math Tasks.

* Grade 6 and Grade 7 Advanced Teacher Resource Packages include Grade 6 or 8 Teaching Edition, as well as the Advanced Teaching Editions.

Skills Review Handbook K–8 9781642080155

Rich Math Tasks Grades 6–8 9781642083057

Teacher Resources Online (5 years) 9781635989496

Teacher Resources Online (1 year) 9781635989458

Professional Development Basic Implementation K–8 9781642083064

Professional Development Customized Implementation K–8 9781642083071




Grades 6–8 TechnologyBig Ideas Math: Modeling Real Life comes with an innovative and dependable technology package that supports and enhances instruction for teachers and students.

Dynamic Student EditionThe Dynamic Student Edition is a complete, interactive version of the Student Edition. Students have access to interactive explorations, digital examples, virtual manipulatives, Lesson Tutorial Videos, and digital exercises from the textbook.

Dynamic Classroom The Dynamic Classroom mimics the students’ Dynamic Student Edition, with additional resources and support for teachers. Interactive explorations and examples from the textbook create a 21st-century classroom atmosphere that engages students. Point-of-use Laurie’s Notes guide instruction with motivation suggestions, teaching tips, questions to ask the students, closure strategies, and more!

STEAM VideosSTEAM Videos allow students to see mathematics in real life.

They also come with corresponding Performance Tasks to make further connections to the mathematical content. Students learn about DNA, the carbon atom, natural disasters, and more!

Dynamic Assessment SystemWith the Dynamic Assessment System, teachers can create customizable homework and assessments with Big Ideas Math question banks aligned to the Mississippi College- and Career-Readiness Standards. They can also create and edit their own unique items!

Question types include a variety of technology-enhanced items, such as drag-and-drop, graphing, point plotting, multiple select, multiple choice, and more. Responses are automatically scored except for the essay question type, which allows students to provide explanations of their reasoning.

The reports in this system provide the feedback teachers need to drive instruction. Students complete the assignments online and can receive immediate feedback on their progress.

Formative CheckThe Formative Check provides teachers with immediate feedback on student progress, making it easy to differentiate and provide support where it is needed the most.








Grades 6–8 AssessmentThe middle school program offers a variety of opportunities for both formative and summative assessment. Options include:

• Self-Assessments

• Prerequisite Skills Practice

• Pre-Course and Post-Course Test

• Quizzes

• Chapter Tests

• Alternative Assessments

• STEAM Performance Tasks

• Quarterly Benchmark Tests

• Online Assessments (see Technology page)

110 Chapter 3 Ratios and Rates

EXAMPLE 3 Determining Whether Ratios Are Equivalent

Self-Assessment for Concepts & Skills

Solve each exercise. Th en rate your understanding of the success criteria in your journal.

WRITING AND INTERPRETING RATIOS Write the ratio. Th en fi nd and interpret the value of the ratio.

7. sharks to dolphins 8. dolphins : animals

IDENTIFYING EQUIVALENT RATIOS Determine whether the ratios are equivalent. Explain your reasoning.

9. 2 : 3 and 24 : 36 10. 5 : 7 and 20 : 28 11. 3 : 10 and 9 : 25

12. DIFFERENT WORDS, SAME QUESTION Which is diff erent? Find “both” answers.

What kind of relationship is 2 pears out of every 5 fruit?

What kind of relationship is 2 pears per 5 peaches?

What kind of relationship is 2 peaches for every 5 pears?

What kind of relationship is 2 peaches to 5 pears?

Determine whether the ratios are equivalent.

a. 4 : 3 and 20 : 15

You can multiply each number in the fi rstratio by 5 to obtain the numbers in thesecond ratio.

Also, the values of the ratios are equivalent. 4

— 3

= 4 × 5

— 3 × 5

= 20

— 15

So, the ratios are equivalent.

b. 5 : 7 and 10 : 21

You need to multiply each number in theratio by diff erent amounts to obtain thenumbers in the second ratio.

Also, the values of the ratios are not equivalent. 5

— 7

≠ 10 — 21

So, the ratios are not equivalent.

Try It Determine whether the ratios are equivalent.

4. 1 : 1 and 6 : 6 5. 1 : 2 and 3 : 4 6. 8 : 3 and 6 : 16

4 : 3

20 : 15× 5 × 5

5 : 7

10 : 21× 2 × 3

Book 1.indb 110 3/26/18 10:23 AM

1. Substitute your solution back into the original equation and see if you obtain a true statement.

2. addition 3. subtraction

4. y

x−2 O 1

1

−3

−4

3

4

2 3 4 5

1

2

345

6

7 89

10 5. y

x−2 O 1

1

−3

−4

3

4

2 3 4 5

1

2

345

6

7 89

10

6. so that x is by itself; so that the two sides remain equal

7. yes 8. yes 9. no

10. no 11. no 12. x = 2

Review & RefreshLaurie’s Notes

T-110

7. 4 : 5; 4

— 5

; Th e number of sharks

is 4

— 5

times the number

of dolphins.

8. 5 : 9; 5

— 9

; Th e number of

dolphins is 5

— 9

times the

number of animals.

9. equivalent; 2

— 3

= 24

— 36

10. equivalent; 5

— 7

= 20

— 28

11. not equivalent; 3

— 10

≠ 9

— 25

12. What kind of relationship is 2 pears out of every 5 fruit?; part-to-whole; part-to-part


EXAMPLE 3• Work through parts (a) and (b) as shown.• Students may use number sense in deciding if the two ratios in part (b) are

equivalent. They may say that the value of the ratio 5 : 7 is 5 — 7 , which is greater

than 1 — 2 . The value of the ratio 10 : 21 is 10

— 21

, which is less than 1 — 2 . Therefore, the

two ratios cannot be equivalent.

Try It• Circulate as students are completing the exercises. Note the reasoning used

by students.• Ask several students to share their thinking about the exercises, and then ask

other students to discuss what they’ve heard.


At this point, students should be very familiar with the learning target, and the success criteria for meeting the learning target. Can students now apply this knowledge to solve a contextual problem? Have students use Thumbs Up to indicate their understanding of each success criterion.

The Success Criteria Self-Assessment chart can be found in the Student Journal or online at BigIdeasMath.com.

4. equivalent

5. not equivalent

6. not equivalent

Try It

Extra Example 3Determine whether the ratios are equivalent.

a. 5 : 7 and 25 : 28 not equivalent

b. 7 : 8 and 21 : 24 equivalent

Check comprehension by having students work in pairs to complete the exercises. Remind them that the process they used for Try It Exercise 3 may also be used for Exercises 7, 8, and 12. After students complete the exercises, have two pairs present their answers to each other, and revise them if there is any disagreement. Provide support as needed.

ELL Support

Book 1.indb 110 3/26/18 11:54 AM

High-stakes assessments require a deeper level of conceptual understanding. Explorations provide students with multiple opportunities to develop their conceptual understanding.

EXPLORATION 2

EXPLORATION 1

EXPLORATION 2

EXPLORATION 1

Section 3.1 Ratios 107

3.1 Ratios

Using Ratios in a Recipe

Work with a partner. Th e ratio of iced tea to lemonade in a recipe is 3 : 1. You begin by combining 3 cups of iced tea with 1 cup of lemonade.

LemonadeIced TeaIceed Tea emonadeLe

a. You add 1 cup of iced tea and 1 cup of lemonade to the mixture. Does this change the taste of the mixture?

b. Describe how you can make larger amounts without changing the taste.

Writing Ratios

Work with a partner. A science class has two times as many girls as it has boys.

a. Discuss possible numbers of boys and girls in the science class.

b. What comparisons can you make between your class and the science class? Can you determine which class has more girls? more boys? Explain your reasoning.

c. Write three ratios that you observe in your classroom. Describe what each ratio represents.

Learning Target: Understand the concepts of ratios and equivalent ratios.

Success Criteria: • I can write and interpret ratios using appropriate notation and language. • I can recognize multiplicative relationships in ratios. • I can describe how to determine whether ratios are equivalent. • I can name ratios equivalent to a given ratio.

Use a TableHow can you use a table to represent the relationship between the numbers of girls and boys?

Math Practice

A ratio is a comparison of two quantities. Consider two quantities a and b. Th e ratio a : b indicates that there are a units of the fi rst quantity for every b units of the second quantity. MAFS.6.RP.1.1

MAFS.6.RP.1.3

FLORIDASTANDARDS

RP1 1

DADAARDS

Book 1.indb 107 3/26/18 10:23 AM Chapter Review 151

Chapter Self-AssessmentAs you complete the exercises, use the scale below to rate your understanding of the success criteria in your journal.

1 2 3 4I can teach

someone else.I do not understand. I can do it

with help.I can do it on

my own.

Write the ratio.

1. butterfl ies : caterpillars 2. saxophones : trumpets

3. Th e ratio of hydrogen atoms to nitrogen atoms in a container is 2 : 3.

a. Find and interpret the value of the ratio.

b. In another container, the number of hydrogen atoms is 3 times the number of nitrogen atoms. Write the ratio of hydrogen atoms to nitrogen atoms.

Determine whether the ratios are equivalent.

4. 5 : 2 and 30 : 12 5. 4 : 3 and 8 : 7

6. 6 : 4 and 18 : 6 7. 18 : 12 and 3 : 2

8. Write two equivalent ratios that have values of 5

— 7

.

9. During a chess match, there are 12 pieces left on the board. Th e ratio of white pieces to black pieces is 2 : 1. How many white pieces are on the board?

10. You run at a pace of 2 miles every 17 minutes. Your friend runs at a pace of 3 miles every 24 minutes. Are you and your friend running at the same pace? If not, who is running faster?

Learning Target: Understand the concepts of ratios and equivalent ratios.

3.1 Ratios (pp. 107–114)

Book 1.indb 151 3/26/18 10:24 AM

Connecting Concepts

Connecting Concepts 149

At the beginning of this chapter, you watched a STEAM Video called “Human Circulatory System.” You are now ready to complete the performance task related to this video, available at BigIdeasMath.com. Be sure to use the problem-solving plan as you work through the performance task.

Performance Task Oops! Unit Conversion Mistakes

Using the Problem-Solving Plan1. You mix water, glue, and borax in the ratio of 3 : 1 : 2 to make

slime. How many gallons of each ingredient should you use to make 0.75 gallon of slime?

You know the ratio of the ingredients in the slime and that you are making 0.75 gallon of slime. You are asked to fi nd the number of gallons of each ingredient needed to make 0.75 gallon of slime.

Represent the ratio 3 : 1 : 2 using a tape diagram. Because there are 6 parts that represent 0.75 gallon, divide 0.75 by 6 to fi nd the value of one part of the tape diagram. Th en use the value of one part to fi nd the number of gallons of each ingredient you should use.

Use the plan to solve the problem. Th en check your solution.

2. You buy yogurt cups and frozen fruit bars for a party. Yogurt cups are sold in packages of six. Th e ratio of the number of yogurt cups in a package to the number of frozen fruit bars in a package is 3 : 2. What are the least numbers of packages you should buy in order to have the same numbers of yogurt cups and frozen fruit bars?

3. Th e greatest common factor of two whole numbers is 9. Th e ratio of the greater number to the lesser number is 6 : 5. What are the two numbers? Justify your answer.

Understandthe problem.

Make a plan.

Solve and check.

Book 1.indb 149 3/26/18 10:24 AM

Self-AssessmentStudent ownership and accountability for learning is a vital component of fluency with both the Mississippi College- and Career-Readiness Standards and the Mathematical Practices.

Connecting Concepts prepare students for high-stakes assessments by asking questions that use previously learned skills in new contexts. Students also practice with the Problem-Solving Plan so they are prepared to use it during assessments.

Grade 6 STEAM Performance Task

The STEAM Performance Task activity provides students the opportunity to demonstrate their understanding of the chapter learning targets. It aligns with what was previewed in the Performance Task Preview from the beginning of the chapter and the Performance Task reference on the Connecting Concepts page.

The Chapter Tests and Quizzes are opportunities for students to demonstrate understanding. The problems include questions that extend concepts.

Every Chapter offers a Chapter Self-Assessment for students to evaluate their understanding of the Learning Targets and their performance perception related to the Success Criteria. Laurie’s Notes provide guidance for supporting all learners’ success on the Self-Assessment.

Grade 6 Chapter Test

Grade 6 Quiz

Self-Assessment opportunities appear throughout instruction for Concepts & Skills and Problem Solving.




GeometryStudent Edition 9781642089714










Dynamic Teacher Resources Online (5 years) 9781642089837

Dynamic Teacher Resources Online (1 year) 9781642089790





Student Journal (5 years) 9781680339079

Student Journal 9781608408535




Ron Larson and Laurie Boswell ©2019Algebra 2 Student Edition 9781642450156




















Ron Larson and Laurie Boswell ©2019Algebra 1Student Edition 9781642088496




















Big Ideas Math Algebra 1, Geometry, and Algebra 2

• Premium Student Resource Package contains Student Edition, Student Journal, and Student Resources Online (1 or 5 years)

• Enhanced Student Resource Package contains Student Edition and Student Resources Online (Student Journal can be accessed online)

• Blended Student Resource Package contains Student Journal and 1- or 5-year access to Student Resources Online (Student Edition can be accessed online)

• Print Student Resource Package contains Student Edition and Student Journal

• Teacher Resource Package contains 1- or 5-year access to Teacher Resources Online and the following print resources (one of each): Teaching Edition, Assessment Book, Resources by Chapter, and Student Journal.

For information on Digital, Assessment, or other features of the program, go to NGL.Cengage.com/Mississippi

Grades 9-12 Technology

1 Solving Linear Equations1.1 Solving Simple Equations1.2 Solving Multi-Step Equations1.3 Solving Equations with Variables

on Both Sides1.4 Solving Absolute Value Equations1.5 Rewriting Equations and Formulas

Density of Pyrite (p. 41)

Cheerleading Competition (p. 29)

Biking (p. 14)

SEE the Big Idea

Boat (p. 22)

Average Speed (p. 6)

Chapter Learning Target: Understand solving linear equations.

Chapter Success Criteria: ■ I can describe how to solve simple equations.■ I can solve multi-step equations.■ I can solve absolute value equations.■ I can rewrite equations and formulas.

Dynamic Student Edition eBookThe Dynamic Student Edition eBook is a complete electronic version of the Student Edition that includes interactive digital resources. The eBook allows students to navigate through the textbook, highlight important information, and add notes or bookmarks. While this eBook is available off-line, with a data or internet connection, students can access embedded, digital enhancements.

Audio available in English and Spanish

Dynamic ClassroomThe Dynamic Classroom mimics the students’ Dynamic Student Edition, with additional resources and support for teachers. Point-of-use Laurie’s Notes guide instruction, providing motivation suggestions, teaching tips, questions to ask the students, closure strategies, and more! Dynamic Investigations and Digital Examples from the textbook create a 21st-century classroom atmosphere that engages students.




http://NGL.Cengage.com/Mississippi

N AT I O N A L G EO G R A P H I C L E A R N I N G · N G L .C E N GAG E .C OM /M I S S I S S I P P I16


AP® Calculus

Advanced, Honors, and Electives

AP® Statistics

Statistics: Learning from Data AP® Edition Second Edition ©2019Student Edition + WebAssign® (6 years) 9781337858106

Student Edition + WebAssign® (1 year) 9781337858113

WebAssign® + VitalSource® eBook (6 years) 9781337858120

WebAssign® + VitalSource® eBook (1 year) 9781337858137

Teacher’s Resource Guide 9781337559263

Fast Track to a 5 AP® Test Preparation Workbook 9781337558914

Student Solutions Manual 9781337558389

K–12 Mathematics

Larson/Battaglia 9781305674912

Calculus for AP® First Edition ©2017Student Edition + WebAssign® (6 years) + Online Fast Track to a 5 (6 years) 9781337011693

Student Edition + WebAssign® (1 year) + Online Fast Track to a 5 (1 year ) 9781337011686

WebAssign® + VitalSource™ eBook (6 years) 9781337011709

WebAssign® + VitalSource™ eBook (1 year) 9781337011716


Wraparound Teacher’s Editio 9781305948013


AP® Teacher’s Resource Guide 9781305966574

Calculus For AP®: A Complete Course First Edition ©2019Student Edition + WebAssign™ (6 years) 9781337858021





Teacher Edition 9781337282772


Teacher’s Resource Guide 9781337559386

Complete Solutions Manual 9781337553643

Stewart/Kokoska 9781337282765

Peck/Short/Olsen9781337558891

• Students get test prep on-the-go for AP® exams with the Fast Track to a 5 mobile app for iOS and Android devices.

• Free diagnostic exams for ten AP® topics help students study for exams, with additional test prep content available for download.

Fast Track to a 5 App – Test Prep for AP® Exams

Fast Track to a 5: Preparing for the AP® Examination

• Helps students study for the AP® exam quickly, efficiently, and effectively

• Closely correlated to the AP® textbook program

• Includes a diagnostic test, test-taking strategies, course content review, and two full-length practice exams

Calculus: An Applied Approach Tenth Edition ©2017Student Edition + WebAssign® (6 years) 9781305899421


WebAssign® + VitalSource® eBook (6 years) 9781305899759

WebAssign® + VitalSource® eBook (1 year) 9781305899827

Larson9781305860919

Algebra IIICalculus Advanced Math Plus

Larson9781337271110

Bello/Kaul/Britton 9781133107422

Algebra and Trig Tenth Edition ©2018Student Edition + WebAssign® (6 years) 9781337466769




Annotated Teacher’s Edition 9781337279710

Student Study and Solutions Manual 9781337279727

Student Notetaking Guide 9781337279734

Topics in Contemporary Mathematics Tenth Edition ©2014Student Edition + WebAssign® (6 years) 9780357085882



Instructor’s Solutions Manual 9781285420790




https://itunes.apple.com/us/app/test-prep-for-ap-exam-fast-track-to-a-5/id1174932708?ls=1&mt=8

https://play.google.com/store/apps/details?id=com.cengage.aptestprep

For additional pricing and ordering information, call 888-915-3276.

NGL.Cengage.com/Mississippi

*AP® is a registered trademark of the College Board, which was not involved in the production and does not endorse this product. Big Ideas Math® and Big Ideas Learning® are registered trademarks of Larson Texts, Inc. “National Geographic”, “National Geographic Society” and the Yellow Border Design are registered trademarks of the National Geographic Society ®Marcas Registradas.

Access exceptional mathematics content via the most powerful online homework solution, WebAssign®. WebAssign® engages students with immediate feedback, rich tutorial content, and an interactive, customizable eBook. Teachers have real-time assessment of student performance.

Advanced, Honors, and Electives

@ExploreInside@NatGeoLearning @NatGeoLearning

CalcView.com features video solutions of selected exercises, as well as instructor videos. Access CalcView™ videos on the free CalcView™ mobile app and by scanning on-page codes with the app’s embedded QR Code® reader.

CalcChat.com, and its free mobile app, provides study guides, step-by-step worked-out solutions for odd-numbered exercises, and year-round live tutoring.

A L S O AVA I L A B L E F O R L A R S O N P R O G R A M S *

K–12 Mathematics

http://ngl.cengage.com/school

http://NGL.Cengage.com/Mississippi

| mathematics€¦ · individual materials for primary grade levels manipulative kit for grades...

Documents