Acrobat Distiller, Job 3assets.pearsonschool.com/correlations/CTMTO67PATHWAYS.pdf · 6 CONNECTICUT AGS PUBLISHING CMT-GRADE 6 MATHEMATICS CONTENT MATHEMATICS Pathways 4c. Describe

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CONNECTICUT MASTERY TEST

MATHEMATICS CONTENT GRADES 6 AND 7

Correlated to

MATHEMATICS Pathways

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MATERIALS USED IN THIS CONNECTICUT/AGS PUBLISHING CORRELATION: MATHEMATICS PATHWAYS: STUDENT TEXTBOOK, TEACHER’S EDITION, SKILL TRACK S/W*, AND TEACHER RESOURCE LIBRARY ©2004 * SKILL TRACK SOFTWARE: A measurement and management tool for each student available in CD-ROM for Windows and Macintosh.

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TABLE OF CONTENTS

GRADE 6 MATHEMATICS CONTENT........................................................................................ 4 GRADE 7 OFF-LEVEL TEST MATHEMATICS CONTENT................................................... 13

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CONNECTICUT AGS PUBLISHING CMT-GRADE 6 MATHEMATICS CONTENT MATHEMATICS Pathways

Number Sense 1. Place Value 1a. Solve problems involving 100 and 1,000 more or less

SE: Pages xx-5, 28-29, 74-94 TE: Pages xx-5, 28-29, 74-94 Applications (Home, Career, Community): pp. 3, 81, 90, 93; Manipulatives: pp. 3, 5, 81, 83, 85, 89; Mental Math: pp. 3, 90, 95; Group Problem Solving: pp. 79, 81, 87, 91 TRL: Estimation Exercise 1; Community Connection 1; Activities: 1-3, 9, 28-33; Workbook Activities: 1-2, 10, 29-34 Skill Track Software: Chapter 1, Lessons 1-2; Ch. 2, Lesson 3; Ch. 4, Lessons 1-6

1b. Identify alternative forms of expressing whole numbers < 10,000 using expanded notation

SE: Pages 4-5, 10-17 TE: Pages 4-5, 10-17 Applications (Home, Career, Community): p. 12; Manipulatives: pp. 5, 11; Mental Math: p. 11; Group Problem Solving: p. 12 TRL: Activities: 2, 6-7; Workbook Activities: 3, 5-6 Skill Track Software: Chapter 1, Lessons 2, 5-6

1c. Identify alternative forms of expressing whole numbers < 10,000 using regrouping

SE: Pages xx-3 TE: Pages xx-3 Applications (Home, Career, Community): p. 3; Manipulatives: p. 3; Mental Math: p. 3 TRL: Estimation Exercise 1; Community Connection 1; Activities: 1-2; Workbook Activities: 1 Skill Track Software: Chapter 1, Lesson 1

1d. Use place value concepts to interpret the meaning of numbers SE: Pages xx-18, 22-35, 48-51, 210 TE: Pages xx-18, 22-35, 48-51, 210 Applications (Home, Career, Community): pp. 3, 12, 19, 33, 51; Manipulatives: pp. 3, 5, 11, 25, 27, 51; Mental Math: pp. 3, 7, 8, 11, 31; Group Problem Solving: pp. 9, 12, 27, 31, 51 TRL: Estimation Exercises 1-2; Community Connection 1-2; Application Activity 1; Everyday Math 1; Activities: 1-13, 17-18, 67; Workbook Activities: 1-13, 17-18, 70 Skill Track Software: Chapter 1, Lessons 1-6; Ch. 2, Lessons 1-6; Ch. 3, Lessons 1-2; Ch. 7, Lesson 3

2. Pictorial Representations of Numbers 2a. Relate decimals (0.01 – 2.99) to pictorial representations and vice versa

TE: Learning Styles: pp. 49, 53, 63; Modeling: p. 67; Manipulatives: p. 51

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2b. Relate fractions and mixed numbers to pictures and vice versa SE: Pages 98-101, 106-115, 130, 178-181 TE: Pages 98-101, 106-115, 130, 178-181 Learning Styles: pp. 49, 104, 107, 108, 111, 113 Manipulatives: pp. 101, 103, 113; TRL: Activities: 34, 36; Workbook Activities: 35, 37 Skill Track Software: Chapter 5, Lessons 1, 3-5; Ch. 7, Lesson 6

2c. Construct pictorial representations of fractions, mixed numbers, and decimals

SE: Pages 51, 130 TE: Pages 51, 130 Learning Styles: pp. 49, 104, 107, 108, 111, 113 Manipulatives: pp. 101, 103, 113; TRL: Activities: 34, 36; Workbook Activities: 35, 37

3. Equivalent Fractions, decimals and Percents 3a. Rename equivalent fractions

SE: Pages 62-63, 106-111 TE: Pages 62-63, 106-111 Applications (Home, Career, Community): pp. 63, 111; Manipulatives: p. 111; Group Problem Solving: p. 111 TRL: Activities: 24, 36-37; Workbook Activities: 25, 37-38 Skill Track Software: Chapter 3, Lesson 8; Ch. 5, Lessons 3-4

3b. Rename equivalent mixed numbers and improper fractions SE: Pages 102-105 TE: Pages 102-105 Manipulatives: p. 103; Group Problem Solving: p. 105 TRL: Activities: 35; Workbook Activities: 36 Skill Track Software: Chapter 5, Lesson 2

4. Order, Magnitude and Rounding of Numbers 4a. Order whole numbers less than 100,000

SE: Pages 6-7, 42, 202-209, 212-225 TE: Pages 6-7, 42, 202-209, 212-225 Applications (Home, Career, Community): pp. 43, 223, 226; Manipulatives: pp. 213, 215, 217, 221, 225; Mental Math: pp. 7, 42, 213, 215, 217, 221, 225; Group Problem Solving: pp. 207, 209, 215, 219, 225 TRL: Application Activity 2, 8; Everyday Math 2, 8; Estimation Exercises 8; Community Connection 8; Activities: 3, 65-66, 68-73; Workbook Activities: 4, 68-69, 71-77 Skill Track Software: Chapter 1, Lesson 3; Ch. 8, Lessons 1-2, 4-9

4b. Order fractions, mixed numbers and decimals SE: Pages 50-51, 112-115 TE: Pages 50-51, 112-115 Applications (Home, Career, Community): p. 51; Manipulatives: pp. 51, 113; Group Problem Solving: pp. 51, 115 TRL: Activities: 18, 38; Workbook Activities: 18, 39 Skill Track Software: Chapter 3, Lesson 2; Ch. 5, Lesson 5

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4c. Describe the magnitude of whole numbers less than 100,000 SE: Pages 6-7, 42, 202-209, 212-225 TE: Pages 6-7, 42, 202-209, 212-225 Applications (Home, Career, Community): pp. 43, 223, 226; Manipulatives: pp. 213, 215, 217, 221, 225; Mental Math: pp. 7, 42, 213, 215, 217, 221, 225; Group Problem Solving: pp. 207, 209, 215, 219, 225 TRL: Application Activity 2, 8; Everyday Math 2, 8; Estimation Exercises 8; Community Connection 8; Activities: 3, 65-66, 68-73; Workbook Activities: 4, 68-69, 71-77 Skill Track Software: Chapter 1, Lesson 3; Ch. 8, Lessons 1-2, 4-9

4d. Describe the magnitude of fractions, mixed numbers and decimals The opportunity to explore this concept can be found in the SE/TE on pages 46-51, 98-109, and 112-115. Applications (Home, Career, Community): p. 51; Manipulatives: pp. 51, 101, 103, 113; Group Problem Solving: pp. 51, 101, 105, 115 TRL: Estimation Exercises 3, 5; Community Connection 3, 5; Activities: 17-18, 34-36, 38; Workbook Activities: 17-18, 35-37, 39 Skill Track Software: Chapter 3, Lessons 1-2; Ch. 5, Lessons 1-3, 5

4e. Round whole numbers in a context SE: Pages 28-29, 34-35 TE: Pages 28-29, 34-35 TRL: Activities: 9, 13; Workbook Activities: 10, 13 Skill Track Software: Chapter 2, Lessons 3, 6

4f. Round decimals in a context SE: Pages 50-51, 60-61, 66-67 TE: Pages 50-51, 60-61, 66-67 Applications (Home, Career, Community): pp. 51, 67; Manipulatives: p. 51; Group Problem Solving: pp. 51, 61, 67 TRL: Activities: 18, 23, 26; Workbook Activities: 18, 23-24, 27 Skill Track Software: Chapter 3, Lessons 2, 7, 10

4g. Locate points on number lines and scales SE: Pages 202-209, 212-225, 324-341 TE: Pages 202-209, 212-225, 324-341 Applications (Home, Career, Community): pp. 223, 226, 326; Manipulatives: pp. 213, 215, 217, 221, 225, 323, 331, 341; Mental Math: pp. 213, 215, 217, 221, 225; Group Problem Solving: pp. 207, 209, 215, 219, 225 TRL: Application Activity 8; Everyday Math 8; Estimation Exercises 8; Community Connection 8; Activities: 65-66, 68-73, 101-107; Workbook Activities: 68-69, 71-77, 106-113 Skill Track Software: Chapter 8, Lessons 1-2, 4-9; Ch. 11, Lessons 5-10

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Operations 5. Models for Operations 5a. Identify the appropriate operation or number sentence to solve a story

problem

SE/TE: Problem Solving: xviii-xix, 7, 9, 25, 27, 31, 33, 53, 57, 61, 63, 67, 79, 81, 87, 91, 101, 105, 111, 115, 125, 131, 145, 151, 159, 161, 169, 173, 175, 177, 185, 191, 197, 207, 209, 215, 219, 223, 225, 239, 241, 249, 252, 269, 273, 281, 283, 297, 301, 305, 321, 323, 327, 347, 369, 377, 411, 413, and 417. Additional Applications: pages 18, 42, 70, 94, 132, 162, 198, 226, 260, 308, 352, 394, and 428. TRL: Estimation Exercises 1-13; Community Connection 1-13; Application Activities 1-13; Everyday Math 1-13; Skill Track Software: Problem Solving opportunities throughout.

5b. Write story problems from multiplication and division number sentences This concept falls outside the scope of AGS Mathematics Pathways. 6. Basic Facts 6. Multiply and divide facts

SE: Pages 8-11, 14-15, 30-35 TE: Pages 8-11, 14-15, 30-35 Applications (Home, Career, Community): p. 33; Manipulatives: p. 11; Mental Math: pp. 8, 11, 31; Group Problem Solving: pp. 9, 31 TRL: Activities: 5-7, 11-13; Workbook Activities: 4-6, 10-13 Skill Track Software: Chapter 1, Lessons 4-5, 6; Ch. 2, Lessons 4-6

7. Computation with Whole #’s and Decimals 7a. Add and subtract 2-, 3- and 4-digit whole numbers and money amounts

less than $100

SE: Pages 6-7, 14-15, 22-29, 36-42, 52-53, 148-151, 159, 212-219 TE: Pages 6-7, 14-15, 22-29, 36-42, 52-53, 148-151, 159, 212-219 Applications (Home, Career, Community): pp. 39, 41, 43, 151, 159; Manipulatives: pp. 25, 27, 41, 149, 151, 213, 215, 217; Mental Math: pp. 7, 37, 42, 218; Group Problem Solving: pp. 27, 53, 151, 159, 215, 219 TRL: Estimation Exercises 2; Community Connection 2; Application Activities 2; Everyday Math 2; Activities: 4, 7-10, 14-16, 19, 47-48, 68-70; Workbook Activities: 3, 6-9, 14-16, 19, 49-50, 72-74 Skill Track Software: Chapter 1, Lesson 3, 6; Ch. 2, Lessons 1-3, 7-9; Ch. 6, Lessons 4-5; Ch. 8, Lessons 4-6

7b. Multiply and divide multiples of 10 and 100 by 10 and 100 This concept falls outside the scope of AGS Mathematics Pathways. 7c. Multiply and divide 2- and 3-digit whole numbers and money amounts

less than $10 by 1-digit numbers SE: Pages 8-9, 16, 30-42, 56-57, 60-61, 63, 66-67, 91, 119, 220-226 TE: Pages 8-9, 16, 30-42, 56-57, 60-61, 63, 66-67, 91, 119, 220-226 Applications (Home, Career, Community): pp. 33, 39, 41, 43, 63, 67, 223, 226; Manipulatives: pp. 41, 221, 225; Mental Math: pp. 31, 37, 42, 119; Group Problem Solving: pp. 9, 31, 57, 61, 67, 91, 225 TRL: Everyday Math 2, 8; Application Activity 2, 8; Activities: 5, 11-16, 21, 23, 26, 71-73; Workbook Activities: 4, 10-16, 21, 23-24, 27, 75-77 Skill Track Software: Chapter 1, Lessons 4, 6; Ch. 2, Lessons 4-9; Ch. 3, Lessons 5, 7, 10; Ch. 8, Lessons 7-9

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8. Computation with Fractions 8. Add and subtract fractions and mixed numbers with like denominators

SE: Pages 116-119 TE: Pages 116-119 Manipulatives: p. 117; Mental Math: p. 119 TRL: Activities: 39; Workbook Activities: 40 Skill Track Software: Chapter 5, Lesson 6

9. Solve Word Problems 9a. Solve 1-step problems involving whole numbers and money amounts 9b. Solve 2-step problems involving whole numbers and money amounts 9c. Solve 2-step problems and explain how the solution was determined


Estimation and Approximation 10. Numerical Estimation Strategies 10a. Identify the best expression to find an estimate 10b. Identify whether and why a particular strategy will result in an

overestimate or an underestimate

SE/TE: Problem Solving: 7, 9, 25, 27, 31, 33, 53, 57, 61, 63, 67, 79, 81, 87, 91, 101, 105, 111, 115, 125, 131, 145, 151, 159, 161, 169, 173, 175, 177, 185, 191, 197, 207, 209, 215, 219, 223, 225, 239, 241, 249, 252, 269, 273, 281, 283, 297, 301, 305, 321, 323, 327, 347, 369, 377, 411, 413, and 417. Additional Applications: pages 18, 42, 70, 94, 132, 162, 198, 226, 260, 308, 352, 394, and 428. Specifically estimation: pages 5, 28-29, 34-35, 37, 65, 77, 117, 141, 187, 221, 242, 245-247, 291, 341, 365, 403, 413. TRL: Estimation Exercises 1-13; Community Connection 1-13; Application Activities 1-13; Everyday Math 1-13 Skill Track Software: Problem Solving opportunities throughout.

11. Estimating Solutions to Problems 11a. Estimate a reasonable answer to a problem

The opportunity to explore this concept can be found in the SE and TE on pages 5, 37, 65, 77, 117, 141, 187, 221, 245, 291, 341, 365, 413; additional estimation: pp. 28-29, 34-35, 242, 246-247, 403. Additional TE: Manipulatives: p. 5; Mental Math: pp. 3, 7, 8, 11, 31, 37, 42, 55, 69, 90, 95, 119, 132, 144, 161, 171, 185, 187, 189, 196, 211, 218, 244, 249, 272, 333, 361, 368, 371, 393, 405, 417, 424; Knowing Your Students: p. 29 TRL: Estimation Exercises: 1-13; Activities: 10, 13, 79-80; Workbook Activities: 9, 13, 83-84 Skill Track Software assesses for estimation throughout the program.

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Ratio, Proportion and Percent 12. Ratios and Proportions Not tested at Grade 6

Not tested at Grade 6 but can be found in AGS Mathematics Pathways: SE: Pages 166-175, 194-197 TE: Pages 166-175, 194-197 Applications (Home, Career, Community): pp. 173, 195, 196; Manipulatives: p. 173; Mental Math: pp. 171, 196; Group Problem Solving: pp. 173, 175 TRL: Estimation Exercise 7; Community Connection 7; Activities: 53-56, 64; Workbook Activities: 55-58, 67 Skill Track Software: Chapter 7, Lessons 1-4, 12

13. Computation with Percents Not tested at Grade 6

Not tested at Grade 6 but can be found in AGS Mathematics Pathways: SE: Pages 66-67, 178-193 TE: Pages 66-67, 178-193 Applications (Home, Career, Community): pp. 67, 180, 185, 191, 193; Manipulatives: p. 184; Mental Math: pp. 185, 187, 189; Group Problem Solving: pp. 67, 181, 185, 189, 191, 193 TRL: Activities: 26, 58-63; Workbook Activities: 27, 60-66 Skill Track Software: Chapter 3, Lesson 10; Ch. 7, Lessons 6-11

Measurement 14. Time 14a. Solve problems involving elapsed time

SE: Page 198 TE: Page 198 TRL: Estimation Exercise 7; Community Connection 7

14b. Solve problems involving the conversion of measures of time This concept falls outside the scope of AGS Mathematics Pathways. 15. Approximating Measures 15. Estimate lengths and areas

SE: Pages 242-249, 291 TE: Pages 242-249, 291 Applications (Home, Career, Community): p. 245; Manipulatives: p. 243; Mental Math: pp. 244, 249; Group Problem Solving: p. 247 TRL: Activities: 79-81; Workbook Activities: 83-85 Skill Track Software: Chapter 9, Lessons 6-8

16. Customary and Metric Measures 16a. Solve problems involving the conversion of measures of length

SE: Pages 70, 162 TE: Pages 70, 162 TRL: Application Activities 3, 6; Everyday Math 3, 6

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16b. Measure lengths to the metric or customary unit specified 16c. Measure/determine perimeter, area and volume 16d. Identify appropriate customary or metric units of measure (length,

capacity, mass) for a given situation

SE: Pages 52, 70, 94, 162, 174-175, 238-245, 248-260, 264-291, 294-307 TE: Pages 52, 70, 94, 162, 174-175, 238-245, 248-260, 264-291, 294-307 Applications (Home, Career, Community): pp. 239, 245, 252, 253, 257, 261, 271, 287, 293, 296, 303; Manipulatives: pp. 239, 241, 243, 261, 275; Mental Math: pp. 244, 249, 272; Group Problem Solving: pp. 175, 239, 241, 251, 255, 269, 273, 281, 283, 300, 305 TRL: Estimation Exercise 10; Community Connection 10; Application Activities 3, 6, 9, 10; Everyday Math 3, 6, 9, 10; Activities: 19, 56, 77-79, 81-92, 94-97; Workbook Activities: 19, 58, 81-83, 85-97, 9-102 Skill Track Software: Chapter 7, Lesson 4; Ch. 9, Lessons 4-6, 8-11; Ch. 10, Lessons 1-8, 10-13

Spatial Relationships and Geometry 17. Geometric Shapes and Properties 17a. Identify and draw geometric shapes and figures

SE: Draw: Pages 281, 296, 299, 300, 307, 366, 373, 378, 393, 401, 405, 407, 428; classifying angles/triangles: pages 358-369 TE: Draw: Pages 281, 296, 299, 300, 307, 366, 373, 378, 393, 401, 405, 407, 428; classifying angles/triangles: pages 358-369; Applications (Home, Career, Community): pp. 296, 373; Learning Styles: pp. 297, 367, 373

17b. Describe and classify geometric shapes and figures SE: Pages 266-277, 286-287, 292-308, 380-381 TE: Pages 266-277, 286-287, 292-308, 380-381 Applications (Home, Career, Community): pp. 271, 287, 293, 296, 303, 381; Manipulatives: p. 275; Mental Math: p. 272; Group Problem Solving: pp. 269-273, 300, 305 TRL: Estimation Exercise 10; Community Connection 10; Application Activity 10; Everyday Math 10; Activities: 85-87, 91, 93-97, 120; Workbook Activities: 89-91, 95-96, 98-102, 126 Skill Track Software: Chapter 10, Lessons 1-3, 7, 9-13; Ch. 12, Lesson 10

18. Spatial Relationships 18a. Identify or draw lines of symmetry

SE: Pages 386-387 TE: Pages 386-387 Applications (Home, Career, Community): p. 387; Manipulatives: p. 387; TRL: Activities: 122; Workbook Activities: 129 Skill Track Software: Chapter 12, Lesson 12

18b. Identify congruent figures SE: Pages 372-373 TE: Pages 372-373 Applications (Home, Career, Community): p. 373 TRL: Activities: 116; Workbook Activities: 122 Skill Track Software: Chapter 12, Lesson 6

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18c. Locate points on grids SE: Pages 324-329, 334-335, 340-341, 382-387 TE: Pages 324-329, 334-335, 340-341, 382-387 Applications (Home, Career, Community): pp. 326, 384, 387; Manipulatives: pp. 341, 387 TRL: Activities: 102-103, 105, 107, 122; Workbook Activities: 107-109, 111, 113, 127-129 Skill Track Software: Chapter 11, Lessons 5-6, 8, 10; Ch. 12, Lessons 11-12

Probability and Statistics 19. Tables, Graphs and Charts 19a. Identify correct information from graphs, tables and charts

SE: Pages 398-415, 418-419, 428 TE: Pages 398-415, 418-419, 428 Applications (Home, Career, Community): pp. 401, 409, 419; Mental Math: pp. 405, 417; Group Problem Solving: pp. 403, 411, 413, 415, 417 TRL: Estimation Exercise 13; Community Connection 13; Application Activity 13; Everyday Math 13; Activities: 125-132, 134; Workbook Activities: 132-139, 142 Skill Track Software: Chapter 13, Lessons 1-8, 10

19b. Create bar graphs and pictographs from data in tables and charts Constructing bar graphs, frequency tables, circle graphs, histograms and scatterplots: SE: Pages 401, 402, 405, 407, 419 TE: Pages 401, 402, 405, 407, 419 Applications (Home, Career, Community): pp. 401, 419; Mental Math: p. 405; Modeling: pp. 407, 409 TRL: Activities: 125-126; Workbook Activities: 132-133

20. Statistics and Data Analysis 20. Draw and justify reasonable conclusions from graphs, tables and charts


21. Probability 21. Solve problems involving elementary notions of probability and fairness,

including justifying answers

SE: Pages 420-425 TE: Pages 420-425 Applications (Home, Career, Community): pp. 421, 424; Manipulatives: p. 421; Mental Math: p. 424; Group Problem Solving: p. 425 TRL: Activities: 135-136; Workbook Activities: 143-144 Skill Track Software: Chapter 13, Lessons 11-12

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Patterns 22. Patterns 22. Extend or complete patterns involving numbers and attributes, and identify

or state rules for given patterns

SE: Pages 42, 230-231, 320-321, 330-339, 351, 377, 393-394, 398-399, 428 TE: Pages 42, 230-231, 320-321, 330-339, 351, 377, 393-394, 398-399, 428 Applications (Home, Career, Community): pp. 43, 395; Manipulatives: pp. 321, 331; Mental Math: pp. 42, 333, 393; Group Problem Solving: pp. 321, 377 TRL: Estimation Exercise 13; Community Connection 13; Application Activity 2, 9, 12, 13; Everyday Math 2, 9, 12, 13; Activities: 100, 104-106; Workbook Activities: 105, 109-112 Skill Track Software: Chapter 11, Lessons 3, 7-9

Algebra and Functions 23. Algebraic Concepts 23. Solve simple 1-step algebraic equations

SE: Pages 146-151 TE: Pages 146-151 Applications (Home, Career, Community): pp. 147, 151; Manipulatives: pp. 149, 151; Group Problem Solving: p. 151 TRL: Activities: 48-50; Workbook Activities: 46-48 Skill Track Software: Chapter 6, Lessons 3-5

Integrated Understandings 25. Mathematical Applications 25. Solve extended numerical, spatial and statistical problems


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CONNECTICUT AGS PUBLISHING CMT-GRADE 7 OFF-LEVEL TEST MATHEMATICS CONTENT MATHEMATICS Pathways

Number Sense 1. Place Value 1a. Solve problems involving 100 and 1,000 and 10,000 more or less and 0.1

more or less than a given number

SE: Pages xx-5, 28-29, 74-94 TE: Pages xx-5, 28-29, 74-94 Applications (Home, Career, Community): pp. 3, 81, 90, 93; Manipulatives: pp. 3, 5, 81, 83, 85, 89; Mental Math: pp. 3, 90, 95; Group Problem Solving: pp. 79, 81, 87, 91 TRL: Estimation Exercise 1; Community Connection 1; Activities: 1-3, 9, 28-33; Workbook Activities: 1-2, 10, 29-34 Skill Track Software: Chapter 1, Lessons 1-2; Ch. 2, Lesson 3; Ch. 4, Lessons 1-6

1b. Identify alternative forms of expressing whole numbers <100,000 using expanded notation and regrouping

SE: Pages xxx-5, 10-17 TE: Pages xxx-5, 10-17 Applications (Home, Career, Community): p. 12; Manipulatives: pp. 5, 11; Mental Math: p. 11; Group Problem Solving: p. 12 TRL: Estimation Exercise 1; Community Connection 1; Activities: 1-2, 6-7; Workbook Activities: 2-3, 5-6 Skill Track Software: Chapter 1, Lessons 1, 2, 5-6

1c. Use place value concepts to interpret the meaning of numbers SE: Pages xx-18, 22-35, 48-51, 210 TE: Pages xx-18, 22-35, 48-51, 210 Applications (Home, Career, Community): pp. 3, 12, 19, 33, 51; Manipulatives: pp. 3, 5, 11, 25, 27, 51; Mental Math: pp. 3, 7, 8, 11, 31; Group Problem Solving: pp. 9, 12, 27, 31, 51 TRL: Estimation Exercises 1-2; Community Connection 1-2; Application Activity 1; Everyday Math 1; Activities: 1-13, 17-18, 67; Workbook Activities: 1-13, 17-18, 70 Skill Track Software: Chapter 1, Lessons 1-6; Ch. 2, Lessons 1-6; Ch. 3, Lessons 1-2; Ch. 7, Lesson 3

2. Pictorial Representations of Numbers 2a. Construct pictorial representations of fractions, decimals (tenths and

hundredths) and mixed numbers

SE: Pages 51, 130 TE: Pages 51, 130 Learning Styles: pp. 49, 104, 107, 108, 111, 113 Manipulatives: pp. 101, 103, 113; TRL: Activities: 34, 36; Workbook Activities: 35, 37

2b. Relate fractions, mixed numbers, decimals and percents to their pictorial representations and vice versa

SE: Pages 98-101, 106-115, 130, 178-181 TE: Pages 98-101, 106-115, 130, 178-181 Learning Styles: pp. 49, 53, 63, 104, 107, 108, 111, 113; Modeling: p. 67; Manipulatives: pp. 51, 101, 103, 113; TRL: Activities: 34, 36; Workbook Activities: 35, 37 Skill Track Software: Chapter 5, Lessons 1, 3-5; Ch. 7, Lesson 6

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3. Equivalent Fractions, decimals and Percents 3a. Rename equivalent fractions and mixed numbers

SE: Pages 62-63, 102-111 TE: Pages 62-63, 102-111 Applications (Home, Career, Community): pp. 63, 111; Manipulatives: pp. 103, 111; Group Problem Solving: pp. 105, 111 TRL: Activities: 24, 35-37; Workbook Activities: 25, 36-38 Skill Track Software: Chapter 3, Lesson 8; Ch. 5, Lessons 2-4

3b. Rename fractions and mixed numbers as equivalent decimals and vice versa

SE: Pages 62-65, 127, 188-193 TE: Pages 62-65, 127, 188-193 Applications (Home, Career, Community): pp. 63, 191, 193; Manipulatives: p. 127; Mental Math: p. 189; Group Problem Solving: pp. 189, 191, 193 TRL: Activities: 24-25, 61-63; Workbook Activities: 25-26, 64-66 Skill Track Software: Chapter 3, Lessons 8-9; Ch. 7, Lessons 8-11

4. Order, Magnitude and Rounding of Numbers 4a. Order whole numbers and decimals (tenths and hundredths) 4b. Order fractions and mixed numbers 4c. Describe the magnitude of whole numbers and decimals (tenths and

hundredths) 4d. Describe the magnitude of fractions and mixed numbers

The opportunity to explore this concept can be found in the SE/TE on pages 6-7, 42, 46-51, 98-109, and 112-115, 202-209, 212-225. Applications (Home, Career, Community): pp. 43, 51, 223, 226; Manipulatives: pp. 51, 101, 103, 113, 213, 215, 217, 221, 225; Group Problem Solving: pp. 51, 101, 105, 115, 207, 209, 215, 219, 225; Mental Math: pp. 7, 42, 213, 215, 217, 221, 225 TRL: Application Activity 2, 8; Everyday Math 2, 8; Estimation Exercises 3, 5, 8; Community Connection 3, 5, 8; Activities: 3, 17-18, 34-36, 38, 65-66, 68-73; Workbook Activities: 4, 17-18, 35-37, 39, 68-69, 71-77 Skill Track Software: Chapter 1, Lesson 3; Ch. 3, Lessons 1-2; Ch. 5, Lessons 1-3, 5; Ch. 8, Lessons 1-2, 4-9

4e. Round whole numbers, fractions and decimals in a context SE: Pages 28-29, 34-35, 50-51, 60-61, 66-67, 117 TE: Pages 28-29, 34-35, 50-51, 60-61, 66-67, 117 Applications (Home, Career, Community): pp. 51, 67; Manipulatives: p. 51; Group Problem Solving: pp. 51, 61, 67 TRL: Activities: 9, 13, 18, 23, 26; Workbook Activities: 10, 13, 18, 23-24, 27 Skill Track Software: Chapter 2, Lessons 3, 6; Ch. 3, Lessons 2, 7, 10

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4f. Locate points on number lines and scales, including fractions, decimals and integers

SE: Pages 51, 65, 102, 104, 112, 114, 202-209, 212-225, 324-341 TE: Pages 51, 65, 102, 104, 112, 114, 202-209, 212-225, 324-341 Applications (Home, Career, Community): pp. 223, 226, 326; Manipulatives: pp. 213, 215, 217, 221, 225, 323, 331, 341; Mental Math: pp. 213, 215, 217, 221, 225; Group Problem Solving: pp. 207, 209, 215, 219, 225 TRL: Application Activity 8; Everyday Math 8; Estimation Exercises 8; Community Connection 8; Activities: 65-66, 68-73, 101-107; Workbook Activities: 68-69, 71-77, 106-113 Skill Track Software: Chapter 8, Lessons 1-2, 4-9; Ch. 11, Lessons 5-10

Operations 5. Models for Operations 5a. Identify or write the appropriate operation or number sentence to solve a

story problem


5b. Write story problems from equations involving fractions and decimals This concept falls outside the scope of AGS Mathematics Pathways. 6. Basic Facts Not tested at Grade 7

Not tested at Grade 7 but can be found in AGS Mathematics Pathways: SE: Pages 8-11, 14-15, 30-35 TE: Pages 8-11, 14-15, 30-35 Applications (Home, Career, Community): p. 33; Manipulatives: p. 11; Mental Math: pp. 8, 11, 31; Group Problem Solving: pp. 9, 31 TRL: Activities: 5-7, 11-13; Workbook Activities: 4-6, 10-13 Skill Track Software: Chapter 1, Lessons 4-5, 6; Ch. 2, Lessons 4-6

7. Computation with Whole #’s and Decimals 7a. Add and subtract 2-, 3- and 4-digit whole numbers and decimals

SE: Pages 6-7, 14-15, 22-29, 36-42, 52-53, 148-151, 159, 212-219 TE: Pages 6-7, 14-15, 22-29, 36-42, 52-53, 148-151, 159, 212-219 Applications (Home, Career, Community): pp. 39, 41, 43, 151, 159; Manipulatives: pp. 25, 27, 41, 149, 151, 213, 215, 217; Mental Math: pp. 7, 37, 42, 218; Group Problem Solving: pp. 27, 53, 151, 159, 215, 219 TRL: Estimation Exercises 2; Community Connection 2; Application Activities 2; Everyday Math 2; Activities: 4, 7-10, 14-16, 19, 47-48, 68-70; Workbook Activities: 3, 6-9, 14-16, 19, 49-50, 72-74 Skill Track Software: Chapter 1, Lesson 3, 6; Ch. 2, Lessons 1-3, 7-9; Ch. 6, Lessons 4-5; Ch. 8, Lessons 4-6

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7b. Multiply and divide whole numbers and decimals by 10, 100, and 1,000 This concept falls outside the scope of AGS Mathematics Pathways. 7c. Multiply and divide 2- and 3-digit whole numbers and money amounts by

1-digit numbers and decimals SE: Pages 8-9, 16, 30-42, 56-57, 60-61, 63, 66-67, 91, 119, 220-226 TE: Pages 8-9, 16, 30-42, 56-57, 60-61, 63, 66-67, 91, 119, 220-226 Applications (Home, Career, Community): pp. 33, 39, 41, 43, 63, 67, 223, 226; Manipulatives: pp. 41, 221, 225; Mental Math: pp. 31, 37, 42, 119; Group Problem Solving: pp. 9, 31, 57, 61, 67, 91, 225 TRL: Everyday Math 2, 8; Application Activity 2, 8; Activities: 5, 11-16, 21, 23, 26, 71-73; Workbook Activities: 4, 10-16, 21, 23-24, 27, 75-77 Skill Track Software: Chapter 1, Lessons 4, 6; Ch. 2, Lessons 4-9; Ch. 3, Lessons 5, 7, 10; Ch. 8, Lessons 7-9

7d. Identify the correct placement of the decimal point in multiplication and division of decimals by one-digit numbers

SE: Pages 56-57, 60-63 TE: Pages 56-57, 60-63 Applications (Home, Career, Community): p. 63; Group Problem Solving: pp. 57, 61 TRL: Activities: 21, 23; Workbook Activities: 21, 23-24 Skill Track Software: Chapter 3, Lessons 5, 7-8

8. Computation with Fractions 8a. Add and subtract fractions and mixed numbers with reasonable and

appropriate denominators

SE: Pages 116-119 TE: Pages 116-119 Manipulatives: p. 117; Mental Math: p. 119 TRL: Activities: 39; Workbook Activities: 40 Skill Track Software: Chapter 5, Lesson 6

8b. Multiply whole numbers and fractions by fractions and mixed numbers SE: Pages 106-107, 112-115, 126-127, 130, 152-153, 160-162 TE: Pages 106-107, 112-115, 126-127, 130, 152-153, 160-162 Applications (Home, Career, Community): pp. 130; Manipulatives: pp. 113, 127; Mental Math: p. 161; Group Problem Solving: pp. 115, 163 TRL: Application Activity 6; Everyday Math 6; Activities: 36, 38, 42, 49, 52; Workbook Activities: 37, 39, 43, 51, 54 Skill Track Software: Chapter 5, Lessons 5, 5, 9, 10; Ch. 6, Lessons 6, 9

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9. Solve Word Problems 9a. Solve 1-step problems involving whole numbers, fractions, decimals and

money amounts 9b. Solve two-step problems involving whole numbers, decimals, fractions

and mixed numbers, including averaging 9c. Solve two-step problems involving whole numbers, decimals, fractions

and mixed numbers with extraneous information 9d. Solve two-step problems and explain how the solution was determined


Estimation and Approximation 10. Numerical Estimation Strategies 10a. Identify the best expression to find an estimate 10b. Identify whether and why a particular strategy will result in an

overestimate or an underestimate 10c. Determine a reasonable estimate and describe the strategy used to make

the estimate

SE/TE: Problem Solving: 7, 9, 25, 27, 31, 33, 53, 57, 61, 63, 67, 79, 81, 87, 91, 101, 105, 111, 115, 125, 131, 145, 151, 159, 161, 169, 173, 175, 177, 185, 191, 197, 207, 209, 215, 219, 223, 225, 239, 241, 249, 252, 269, 273, 281, 283, 297, 301, 305, 321, 323, 327, 347, 369, 377, 411, 413, and 417. Additional Applications: pages 18, 42, 70, 94, 132, 162, 198, 226, 260, 308, 352, 394, and 428. Specifically estimation: pages 5, 28-29, 34-35, 37, 65, 77, 117, 141, 187, 221, 242, 245-247, 291, 341, 365, 403, 413. TRL: Estimation Exercises 1-13; Community Connection 1-13; Application Activities 1-13; Everyday Math 1-13

11. Estimating Solutions to Problems 11a. Estimate a reasonable answer to a problem, including estimating change 11b. Use estimation to make and defend decisions

SE/TE: Problem Solving: 7, 9, 25, 27, 31, 33, 53, 57, 61, 63, 67, 79, 81, 87, 91, 101, 105, 111, 115, 125, 131, 145, 151, 159, 161, 169, 173, 175, 177, 185, 191, 197, 207, 209, 215, 219, 223, 225, 239, 241, 249, 252, 269, 273, 281, 283, 297, 301, 305, 321, 323, 327, 347, 369, 377, 411, 413, and 417. Additional Applications: pages 18, 42, 70, 94, 132, 162, 198, 226, 260, 308, 352, 394, and 428. Specifically estimation: pages 5, 28-29, 34-35, 37, 65, 77, 117, 141, 187, 221, 242, 245-247, 291, 341, 365, 403, 413. TRL: Estimation Exercises 1-13; Community Connection 1-13; Application Activities 1-13; Everyday Math 1-13

Ratio, Proportion and Percent 12. Ratios and Proportions 12. Solving problems involving ratios

Not tested at Grade 7 but can be found in AGS Mathematics Pathways: SE: Pages 166-175, 194-197 TE: Pages 166-175, 194-197 Applications (Home, Career, Community): pp. 173, 195, 196; Manipulatives: p. 173; Mental Math: pp. 171, 196; Group Problem Solving: pp. 173, 175 TRL: Estimation Exercise 7; Community Connection 7; Activities: 53-56, 64; Workbook Activities: 55-58, 67 Skill Track Software: Chapter 7, Lessons 1-4, 12

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13. Computation with Percents Not tested at grade 7

Not tested at Grade 7 but can be found in AGS Mathematics Pathways: SE: Pages 66-67, 178-193 TE: Pages 66-67, 178-193 Applications (Home, Career, Community): pp. 67, 180, 185, 191, 193; Manipulatives: p. 184; Mental Math: pp. 185, 187, 189; Group Problem Solving: pp. 67, 181, 185, 189, 191, 193 TRL: Activities: 26, 58-63; Workbook Activities: 27, 60-66 Skill Track Software: Chapter 3, Lesson 10; Ch. 7, Lessons 6-11

Measurement 14. Time Not tested at grade 7

SE: Page 198 TE: Page 198 TRL: Estimation Exercise 7; Community Connection 7

15. Approximating Measures 15. Estimate lengths, areas and angle measures

This concept falls outside the scope of AGS Mathematics Pathways.

16. Customary and Metric Measures 16a. Solve problems involving the conversion of units of measure, including

time

SE: Pages 242-249, 291 TE: Pages 242-249, 291 Applications (Home, Career, Community): p. 245; Manipulatives: p. 243; Mental Math: pp. 244, 249; Group Problem Solving: p. 247 TRL: Activities: 79-81; Workbook Activities: 83-85 Skill Track Software: Chapter 9, Lessons 6-8

16b. Measure or determine perimeter, area and volume 16c. Identify appropriate customary or metric measures or units (length, area, volume, capacity, mass) for a given situation

SE: Pages 52, 70, 94, 162, 174-175, 238-245, 248-260, 264-291, 294-307 TE: Pages 52, 70, 94, 162, 174-175, 238-245, 248-260, 264-291, 294-307 Applications (Home, Career, Community): pp. 239, 245, 252, 253, 257, 261, 271, 287, 293, 296, 303; Manipulatives: pp. 239, 241, 243, 261, 275; Mental Math: pp. 244, 249, 272; Group Problem Solving: pp. 175, 239, 241, 251, 255, 269, 273, 281, 283, 300, 305 TRL: Estimation Exercise 10; Community Connection 10; Application Activities 3, 6, 9, 10; Everyday Math 3, 6, 9, 10; Activities: 19, 56, 77-79, 81-92, 94-97; Workbook Activities: 19, 58, 81-83, 85-97, 9-102 Skill Track Software: Chapter 7, Lesson 4; Ch. 9, Lessons 4-6, 8-11; Ch. 10, Lessons 1-8, 10-13

Spatial Relationships and Geometry 17. geometric Shapes and Properties 17a. Identify and draw geometric shapes and figures

SE: Draw: Pages 281, 296, 299, 300, 307, 366, 373, 378, 393, 401, 405, 407, 428; classifying angles/triangles: pages 358-369 TE: Draw: Pages 281, 296, 299, 300, 307, 366, 373, 378, 393, 401, 405, 407, 428; classifying angles/triangles: pages 358-369; Applications (Home, Career, Community): pp. 296, 373; Learning Styles: pp. 297, 367, 373

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17b. Describe and classify geometric shapes and figures SE: Pages 266-277, 286-287, 292-308, 380-381 TE: Pages 266-277, 286-287, 292-308, 380-381 Applications (Home, Career, Community): pp. 271, 287, 293, 296, 303, 381; Manipulatives: p. 275; Mental Math: p. 272; Group Problem Solving: pp. 269-273, 300, 305 TRL: Estimation Exercise 10; Community Connection 10; Application Activity 10; Everyday Math 10; Activities: 85-87, 91, 93-97, 120; Workbook Activities: 89-91, 95-96, 98-102, 126 Skill Track Software: Chapter 10, Lessons 1-3, 7, 9-13; Ch. 12, Lesson 10

18. Spatial Relationships 18a. Identify and draw lines of symmetry

SE: Pages 386-387 TE: Pages 386-387 Applications (Home, Career, Community): p. 387; Manipulatives: p. 387; TRL: Activities: 122; Workbook Activities: 129 Skill Track Software: Chapter 12, Lesson 12

18b. Identify geometric transformations SE: Pages 388-394 TE: Pages 388-394 Applications (Home, Career, Community): pp. 391, 395; Group Problem Solving; p. 392; Mental Math: p. 393 TRL: Everyday Math 12; Application Activity 12; Activities: 123-124; Workbook Activities: 130-131 Skill Track Software: Chapter 12, Lessons 3-14

18c. Identify congruent and similar figures SE: Pages 372-375 TE: Pages 372-375 Applications (Home, Career, Community): pp. 373, 375 TRL: Activities: 116-117; Workbook Activities: 122-123 Skill Track Software: Chapter 12, Lesson 6

18d. Locate and draw points on grids SE: Pages 324-329, 334-335, 340-341, 382-387 TE: Pages 324-329, 334-335, 340-341, 382-387 Applications (Home, Career, Community): pp. 326, 384, 387; Manipulatives: pp. 341, 387 TRL: Activities: 102-103, 105, 107, 122; Workbook Activities: 107-109, 111, 113, 127-129 Skill Track Software: Chapter 11, Lessons 5-6, 8, 10; Ch. 12, Lessons 11-12

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Probability And Statistics 19. Tables, Graphs, and Charts 19a. Identify correct information from graphs, tables and charts


19b. Create bar graphs and line graphs from data in tables and charts Constructing bar graphs, frequency tables, circle graphs, histograms and scatterplots: SE: Pages 401, 402, 405, 407, 419 TE: Pages 401, 402, 405, 407, 419 Applications (Home, Career, Community): pp. 401, 419; Mental Math: p. 405; Modeling: pp. 407, 409 TRL: Activities: 125-126; Workbook Activities: 132-133

20. Statistics and Data Analysis 20a. Draw and justify reasonable conclusions from graphs, tables and charts


20b. Solve problems involving means and medians of sets of data SE: Pages 410-415, 418-419 TE: Pages 410-415, 418-419 Applications (Home, Career, Community): p. 419; Group Problem Solving: pp. 411, 413, 415 TRL: Activities: 130-132, 134; Workbook Activities: 137-139, 142 Skill Track Software: Chapter 13, Lessons 6-8, 10

21. Probability 21. Solve problems involving elementary notions of probability and fairness,

including justifying answers

SE: Pages 420-425 TE: Pages 420-425 Applications (Home, Career, Community): pp. 421, 424; Manipulatives: p. 421; Mental Math: p. 424; Group Problem Solving: p. 425 TRL: Activities: 135-136; Workbook Activities: 143-144 Skill Track Software: Chapter 13, Lessons 11-12

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Patterns 22. Patterns 22. Extend or complete patterns involving whole numbers and attributes and

identify or state rules for given patterns

SE: Pages 42, 230-231, 320-321, 330-339, 351, 377, 393-394, 398-399, 428 TE: Pages 42, 230-231, 320-321, 330-339, 351, 377, 393-394, 398-399, 428 Applications (Home, Career, Community): pp. 43, 395; Manipulatives: pp. 321, 331; Mental Math: pp. 42, 333, 393; Group Problem Solving: pp. 321, 377 TRL: Estimation Exercise 13; Community Connection 13; Application Activity 2, 9, 12, 13; Everyday Math 2, 9, 12, 13; Activities: 100, 104-106; Workbook Activities: 105, 109-112 Skill Track Software: Chapter 11, Lessons 3, 7-9

Algebra and Functions 23. Algebraic Concepts 23a. Solve simple 1-step algebraic equations

SE: Pages 146-151 TE: Pages 146-151 Applications (Home, Career, Community): pp. 147, 151; Manipulatives: pp. 149, 151; Group Problem Solving: p. 151 TRL: Activities: 48-50; Workbook Activities: 46-48 Skill Track Software: Chapter 6, Lessons 3-5

23b. Evaluate expressions and use formulas Specific Expressions: SE/TE: Pages 36-41, 68-69, 84-87, 142-145, 160-161 Formulas: SE/TE: Pages 238-241, 264-289, 294-307, 344-347 Applications (Home, Career, Community): pp. 39, 41, 239, 271, 287, 293, 296, 303; Manipulatives: pp. 41, 85, 239, 241, 275; Mental Math: pp. 37, 69, 144, 161, 272; Group Problem Solving: pp. 87, 145, 239, 241, 269, 273, 281, 283, 300, 305, 347 TRL: Application Activity 10; Everyday Math 10; Estimation Exercise 10; Community Connection 10; Activities: 14-16, 27, 32, 45, 52, 77-78, 85-97, 109; Workbook Activities: 14-16, 28, 31, 47, 56, 81-82, 89-102, 115 Skill Track Software: Chapter 2, Lessons 7-9; Ch. 3, Lesson 11; Ch. 4, Lesson 4; Ch. 6, Lessons 2, 9

Discrete Mathematics 24. Classification and Logical Reasoning 24. Solve problems involving the organization of data, including sorting

objects by common attributes

SE: Pages 418-419, 426-428 TE: Pages 418-419, 426-428 Applications (Home, Career, Community): p. 419; TRL: Application Activity 13; Everyday Math 13; Activities: 134, 137; Workbook Activities: 142, 145 Skill Track Software: Chapter 13, Lessons 10, 13

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Integrated Understandings 25. Mathematical Applications 25. Solve extended numerical, spatial and statistical problems


Documents

Acrobat Distiller, Job 3assets.pearsonschool.com/correlations/CTMTO67PATHWAYS.pdf · 6 CONNECTICUT AGS PUBLISHING CMT-GRADE 6 MATHEMATICS CONTENT MATHEMATICS Pathways 4c. Describe