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| 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
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
M I S S I S S I P P I
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
william.stone@cengage.com
Grades 9–12Kyle Rapp800-543-0487 Ext. 11445
kyle.rapp@cengage.com
Mississippi Math Engagement ConsultantRobin LeFevre513-229-1541
robin.lefevre@cengage.com
Director of Sales OperationsLisa Williams814-823-5207
lisawilliams@larsontexts.com
National Education ConsultantJulien Wray814-969-0026
jwray@larsontexts.com
Mathematics ConsultantKelsea Whittemore814-969-0943
kwhittemore@larsontexts.com
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
Student Edition Volume 2 9781635988727
Teaching Edition Volume 1 9781635988734
Teaching Edition Volume 2 9781635988741
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
Resources by Chapter Volume 2 9781635989335
Instructional Resources 9781635989359
Math Musicals: Newton & Descartes’s 9781635988987 Coolest Rockin’ Day Ever
Grade 3 Student Edition set (2 volume consumable) 9781635989113
Teaching Edition set (2 volumes) 9781635989120
Student Edition Set, (5 years) 9781642082722 (2 volume consumable)
Enhanced Student Resource Package (5 years) 9781642080278
Enhanced Student Resource Package (1 year) 9781642080230
Teacher Resource Package (5 years) 9781642080339
Teacher Resource Package (1 year) 9781642080292
Student Edition Volume 1 9781635988857
Student Edition Volume 2 9781635988864
Teaching Edition Volume 1 9781635988871
Teaching Edition Volume 2 9781635988888
Online Student Resources (5 years) 9781642080216
Online Student Resources (1 year) 9781642080179
Assessment Book 9781642080094
Resources by Chapter Set, (2 Volumes) 9781642080124
Resources by Chapter Volume 1 9781642080100
Resources by Chapter Volume 2 9781642080117
Instructional Resources 9781642080131
Math Musicals: Newton & Descartes’s 9781635989205 Night in Madrid
Ron Larson and Laurie Boswell ©2019
Ron Larson and Laurie Boswell ©2019
Ron Larson and Laurie Boswell ©2019
Ron Larson and Laurie Boswell ©2019
Ron Larson and Laurie Boswell ©2019
Grade 1 Student Edition set (2 volume consumable) 9781635989069
Teaching Edition set (2 volumes) 9781635989083
Student Edition Set, (5 years ) 9781642082425 (2 volume consumable)
Enhanced Student Resource Package (5 years) 9781635989786
Enhanced Student Resource Package (1 year) 9781635989748
Teacher Resource Package (5 years) 9781635989847
Teacher Resource Package (1 year) 9781635989809
Student Edition Volume 1 9781635988772
Student Edition Volume 2 9781635988789
Teaching Edition Volume 1 9781635988796
Teaching Edition Volume 2 9781635988802
Online Student Resources (5 years) 9781635989724
Online Student Resources (1 year) 9781635989687
Assessment Book 9781635989632
Resources by Chapter Set, (2 Volumes) 9781635989663
Resources by Chapter Volume 1 9781635989649
Resources by Chapter Volume 2 9781635989656
Instructional Resources 9781635989670
Math Musicals: Newton & Descartes’s 9781635989007 Day at the Beach
Grade 4 Student Edition set (2 volume consumable) 9781635989137
Teaching Edition set (2 volumes) 9781635989144
Student Edition Set, (5 years) 9781642082876 (2 volume consumable)
Enhanced Student Resource Package (5 years) 9781642080506
Enhanced Student Resource Package (1 year) 9781642080469
Teacher Resource Package (5 years) 9781642080568
Teacher Resource Package (1 year) 9781642080520
Student Edition Volume 1 9781635988895
Student Edition Volume 2 9781635988901
Teaching Edition Volume 1 9781635988918
Teaching Edition Volume 2 9781635988925
Online Student Resources (5 years) 9781642080445
Online Student Resources (1 year) 9781642080407
Assessment Book 9781642080353
Resources by Chapter Set, (2 Volumes) 9781642080384
Resources by Chapter Volume 1 9781642080360
Resources by Chapter Volume 2 9781642080377
Instructional Resources 9781642080391
Math Musicals: Newton & Descartes’s 9781635989212 Skate Park Adventure
Grade 2 Student Edition set (2 volume consumable) 9781635989090
Teaching Edition set (2 volumes) 9781635989106
Student Edition Set, (5 years) 9781642082579 (2 volume consumable)
Enhanced Student Resource Package (5 years) 9781642080018
Enhanced Student Resource Package (1 year) 9781635989977
Teacher Resource Package (5 years) 9781642080070
Teacher Resource Package (1 year) 9781642080032
Student Edition Volume 1 9781635988819
Student Edition Volume 2 9781635988826
Teaching Edition Volume 1 9781635988833
Teaching Edition Volume 2 9781635988840
Online Student Resources (5 years) 9781635989953
Online Student Resources (1 year) 9781635989915
Assessment Book 9781635989861
Resources by Chapter Set, (2 Volumes) 9781635989892
Resources by Chapter Volume 1 9781635989878
Resources by Chapter Volume 2 9781635989885
Instructional Resources 9781635989908
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
Teaching Edition set (2 volumes) 9781635989168
Student Edition Set, (5 years) 9781642083026 (2 volume consumable)
Enhanced Student Resource Package (5 years) 9781642080735
Enhanced Student Resource Package (1 year) 9781642080698
Teacher Resource Package (5 years) 9781642080797
Teacher Resource Package (1 year) 9781642080759
Student Edition Volume 1 9781635988932
Student Edition Volume 2 9781635988949
Teaching Edition Volume 1 9781635988956
Teaching Edition Volume 2 9781635988963
Online Student Resources (5 years) 9781642080674
Online Student Resources (1 year) 9781642080636
Assessment Book 9781642080582
Resources by Chapter Set, (2 Volumes) 9781642080612
Resources by Chapter Volume 1 9781642080599
Resources by Chapter Volume 2 9781642080605
Instructional Resources 9781642080629
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
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 I4 5
M I S S I S S I P P IK–12 Mathematics
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
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 I6 7
M I S S I S S I P P IK–12 Mathematics
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.
Aligned to Mississippi Standards
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
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 I8 9
M I S S I S S I P P IK–12 Mathematics
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
Assessment Book 9781642080827
Resources by Chapter 9781642080834
Premium Student Resource Package (5 years) 9781642081176
Premium Student Resource Package (1 year) 9781642081138
Enhanced Student Resource Package (5 years) 9781642081114
Enhanced Student Resource Package (1 year) 9781642081077
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
Teacher Resource Package (5 years) 9781642081237
Teacher Resource Package (1 year) 9781642081190
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
Ron Larson and Laurie Boswell ©2019
Ron Larson and Laurie Boswell ©2019
Ron Larson and Laurie Boswell ©2019
Ron Larson and Laurie Boswell ©2019
Ron Larson and Laurie Boswell ©2019
Grade 7 Student Edition 9781635989014
Teaching Edition 9781635989038
Student Journal (Consumable) 9781642081251
Student Journal (5 years) (Consumable) 9781642081312
Student Resources Online (5 years) 9781642081374
Student Resources Online (1 year) 9781642081336
Assessment Book 9781642081268
Resources by Chapter 9781642081275
Premium Student Resource Package (5 years) 9781642081619
Premium Student Resource Package (1 year) 9781642081572
Enhanced Student Resource Package (5 years) 9781642081558
Enhanced Student Resource Package (1 year) 9781642081510
Blended Student Resource Package (5 years) 9781642081435
Blended Student Resource Package (1 year) 9781642081398
Print Student Resource Package (5 years) 9781642081497
Print Student Resource Package (1 year) 9781642081459
Teacher Resource Package (5 years) 9781642081671
Teacher Resource Package (1 year) 9781642081633
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
Teaching Edition 9781635989076
Student Journal (Consumable) 9781642081695
Student Journal (5 years) (Consumable) 9781642081756
Student Resources Online (5 years) 9781642081817
Student Resources Online (1 year) 9781642081770
Assessment Book 9781642081701
Resources by Chapter 9781642081718
Premium Student Resource Package (5 years) 9781642082050
Premium Student Resource Package (1 year) 9781642082012
Enhanced Student Resource Package (5 years) 9781642081992
Enhanced Student Resource Package (1 year) 9781642081954
Blended Student Resource Package (5 years) 9781642081879
Blended Student Resource Package (1 year) 9781642081831
Print Student Resource Package (5 years) 9781642081930
Print Student Resource Package (1 year) 9781642081893
Teacher Resource Package (5 years) 9781642082111
Teacher Resource Package (1 year) 9781642082074
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
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 I10 11
M I S S I S S I P P IK–12 Mathematics
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.
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!
Aligned to Mississippi Standards
Aligned to Mississippi Standards
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 I12 13
M I S S I S S I P P IK–12 Mathematics
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
Self-Assessment for Concepts & Skills
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.
Self-Assessment for Concepts & Skills
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.
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 I14 15
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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.
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!
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