California Mathematics Concepts, Skills, and Problem Solving Grade 6
Buku ini diterbitkan tahun 1997 Cambridge University Press adalah buku Edisi Pertama.
Judul: California Mathematics Concepts, Skills, and Problem Solving Grade 6
Oleh: Nancy Eisenberg, et al
Penerbit: The McGraw-Hill Companies, Inc.
Tahun: 2008
Jumlah Halaman: 848 hal.
Author:
Rhonda J. Molix-Bailey
Mathematics Consultant
Mathematics by Design
DeSoto, Texas
Roger Day, Ph.D.
Mathematics Department Chair
Pontiac Township High School
Pontiac, Illinois
Patricia Frey, Ed.D.
Math Coordinator at Westminster Community
Charter School
Buffalo, New York
Arthur C. Howard
Mathematics Teacher
Houston Christian
High School
Houston, Texas
Deborah A. Hutchens, Ed.D.
Principal
Chesapeake, Virginia
Beatrice Luchin
Mathematics Consultant
League City, Texas
Lingkup Pembahasan:
Buku ini terdiri atas 5 bagian utama: UNIT 1 ALJABAR DAN FUNGSI yang meliputi pembahasan
1) Pengantar Aljabar dan Fungsi, 2) Integer, dan 3) Aljabar: Persamaan dan Fungsi Linear.
UNIT 2 NUMBER AENSE: PECAHAN mencakup pembahasan 4) Pecahan, Desimal, dan Persen dan 5) Menerapkan Pecahan. UNIT 3 ALJABAR DAN NUMBER SENCE: PROPORSI DAN PERSEN meliputi pembahasan 6) Rasio dan Proporsi dan 7) Menerapkan Persen. UNIT 4 DTTISTIK, ANALISI DATA dan PROBABILITAS mencakup pembahasan 8) Statistik: Menganalisis data dan 9) Probabilitas. UNIT 5 GEOMETRI DAN PENGUKURAN meliputi 10) Geometri: Poligon, 11) Pengukuran: Dua dan Tiga Angka-Dimensi standar Ulasan, dan 12) Menatap ke Depan untuk kelas 7: Geometri dan Pengukuran.
Daftar Isi:
START SMART
Be a Better Problem Solver
A Plan for Problem Solving 2
Problem-Solving Strategies 4
Multi-Step Problems 6
Tools for Problem Solving 8
Techniques for Problem Solving 10
How to Use Your Math Book
Why do I Need my Math Book? 12
Doing Your Homework 13
Studying for a Test 14
Scavenger Hunt 15
California Data File 16
UNIT 1 ALGEBRA AND FUNCTIONS
Chapter 1 Introduction to Algebra and Functions
Reading Word Problems: Making Sense 24
1-1 A Plan for Problem Solving 25
1-2 Powers and Exponents 30
1-3 Squares and Square Roots 34
1-4 Order of Operations 38
1-5 Problem-Solving Investigation: Guess and Check 42
1-6 Algebra: Variables and Expressions 44
Mid-Chapter Quiz 48
1-7 Algebra: Equations 49
1-8 Algebra: Properties 53
1-9 Algebra: Arithmetic Sequences 57
Extend 1-9 Algebra Lab: Exploring Sequences 62
1-10 Algebra: Equations and Functions 63
Extend 1-10 Graphing Calculator Lab: Functions and Tables 68
ASSESSMENT
Study Guide and Review 70
Practice Test 75
California Standards Practice 76
Chapter 2 Integers
2-1 Integers and Absolute Value 80
2-2 Comparing and Ordering Integers 84
2-3 The Coordinate Plane 88
Explore 2-4 Algebra Lab: Adding Integers 93
2-4 Adding Integers 95
Mid-Chapter Quiz 100
Explore 2-5 Algebra Lab: Subtracting Integers 101
2-5 Subtracting Integers 103
2-6 Multiplying Integers 107
2-7 Problem-Solving Investigation: Look for a Pattern 112
2-8 Dividing Integers 114
ASSESSMENT
Study Guide and Review 119
Practice Test 123
California Standards Practice 124
Chapter 3 Algebra: Linear Equations and Functions
3-1 Writing Expressions and Equations 128
Explore 3-2 Algebra Lab: Solving Equations Using Models 134
3-2 Solving Addition and Subtraction Equations 136
3-3 Solving Multiplication Equations 142
Mid-Chapter Quiz 147
3-4 Problem-Solving Investigation: Work Backward 148
Reading Word Problems: Simplify the Problem 150
3-5 Solving Two-Step Equations 151
3-6 Measurement: Perimeter and Area 156
Explore 3-7 Measurement Lab: Representing Relationships 162
3-7 Functions and Graphs 163
Extend 3-7 Graphing Calculator Lab: Graphing Relationships 168
ASSESSMENT
Study Guide and Review 169
Practice Test 173
California Standards Practice 174
UNIT 2 NUMBER SENSE: FRACTIONS
Chapter 4 Fractions, Decimals, and Percents
Explore 4-1 Math Lab: Exploring Factors 180
4-1 Prime Factorization 181
Reading Word Problems: Everyday Meaning 185
4-2 Greatest Common Factor 186
4-3 Problem-Solving Investigation: Make an Organized List 190
4-4 Simplifying Fractions 192
4-5 Fractions and Decimals 196
Mid-Chapter Quiz 201
4-6 Fractions and Percents 202
4-7 Percents and Decimals 206
4-8 Least Common Multiple 211
4-9 Comparing and Ordering Rational Numbers 215
ASSESSMENT
Study Guide and Review 221
Practice Test 225
California Standards Practice 226
Chapter 5 Applying Fractions
5-1 Estimating with Fractions 230
5-2 Adding and Subtracting Fractions 236
5-3 Adding and Subtracting Mixed Numbers 242
Mid-Chapter Quiz 247
5-4 Problem-Solving Investigation: Eliminate Possibilities 248
Explore 5-5 Math Lab: Multiplying Fractions 250
5-5 Multiplying Fractions and Mixed Numbers 252
5-6 Algebra: Solving Equations 258
Reading Word Problems: Meaning of Division 264
5-7 Dividing Fractions and Mixed Numbers 265
ASSESSMENT
Study Guide and Review 271
Practice Test 275
California Standards Practice 276
UNIT 3 ALGEBRA AND NUMBER SENSE: PROPORTIONS AND PERCENTS
Chapter 6 Ratios and Proportions
6-1 Ratios 282
6-2 Rates 287
Extend 6-2 Algebra Lab: Rate of Change 293
6-3 Measurement: Changing Customary Units 294
6-4 Measurement: Changing Metric Units 300
6-5 Algebra: Solving Proportions 306
Extend 6-5 Statistics Lab: Wildlife Sampling 312
Mid-Chapter Quiz 313
6-6 Problem-Solving Investigation: Draw a Diagram 314
6-7 Scale Drawings 316
Extend 6-7 Spreadsheet Lab: Scale Drawings 323
6-8 Fractions, Decimals, and Percents 324
6-9 Percents Greater Than 100% and Percents Less Than 1% 329
ASSESSMENT
Study Guide and Review 333
Practice Test 337
California Standards Practice 338
Chapter 7 Applying Percents
Explore 7-1 Math Lab: Percent of a Number 342
7-1 Percent of a Number 344
Reading Word Problems: Meaning of Percent 349
7-2 The Percent Proportion 350
7-3 Percent and Estimation 355
7-4 Algebra: The Percent Equation 361
7-5 Problem-Solving Investigation: Determine Reasonable Answers 366
Mid-Chapter Quiz 368
7-6 Percent of Change 369
7-7 Sales Tax and Discount 375
7-8 Simple Interest 379
Extend 7-8 Spreadsheet Lab: Simple Interest 383
ASSESSMENT
Study Guide and Review 384
Practice Test 389
California Standards Practice 390
UNIT 4 STATISTICS, DATA ANALYSIS, AND PROBABILITY
Chapter 8 Statistics: Analyzing Data
8-1 Line Plots 396
8-2 Measures of Central Tendency and Range 402
Extend 8-2 Graphing Calculator Lab: Mean and Median 409
8-3 Stem-and-Leaf Plots 410
8-4 Bar Graphs and Histograms 415
Extend 8-4 Spreadsheet Lab: Circle Graphs 422
Mid-Chapter Quiz 423
8-5 Problem-Solving Investigation: Use a Graph 424
8-6 Using Graphs to Predict 426
Extend 8-6 Spreadsheet Lab: Multiple-Line and -Bar Graphs 432
8-7 Using Data to Predict 434
8-8 Using Sampling to Predict 438
8-9 Misleading Statistics 444
ASSESSMENT
Study Guide and Review 450
Practice Test 455
California Standards Practice .456
Chapter 9 Probability
9-1 Simple Events 460
9-2 Sample Spaces 465
9-3 The Fundamental Counting Principle 471
9-4 Permutations 475
Mid-Chapter Quiz 479
9-5 Combinations 480
9-6 Problem-Solving Investigation: Act It Out 484
9-7 Theoretical and Experimental Probability 486
Extend 9-7 Probability Lab: Simulations 491
9-8 Compound Events 492
ASSESSMENT
Study Guide and Review 498
Practice Test 503
California Standards Practice 504
Unit 5 Geometry and Measurement
Chapter 10 Geometry: Polygons
10-1 Angle Relationships 510
10-2 Complementary and Supplementary Angles 514
10-3 Statistics: Display Data in a Circle Graph 518
10-4 Triangles 524
10-5 Problem-Solving Investigation: Use Logical Reasoning 530
Explore 10-6 Geometry Lab: Investigating Quadrilaterals 532
10-6 Quadrilaterals 533
Mid-Chapter Quiz 539
10-7 Similar Figures 540
10-8 Polygons and Tessellations 546
Extend 10-8 Geometry Lab: Tessellations .552
10-9 Translations 553
10-10 Reflections 558
ASSESSMENT
Study Guide and Review 563
Practice Test 567
California Standards Practice 568
Chapter 11 Measurement: Two- and Three-Dimensional Figures
11-1 Area of Parallelograms 572
Explore 11-2 Measurement Lab: Triangles and Trapezoids 577
11-2 Area of Triangles and Trapezoids 578
Explore 11-3 Measurement Lab: Circumference of Circles 583
11-3 Circles and Circumference 584
11-4 Area of Circles 589
11-5 Problem-Solving Investigation: Solve a Simpler Problem 594
11-6 Area of Complex Figures 596
Extend 11-6 Measurement Lab: Nets and Surface Area 600
Mid-Chapter Quiz 602
11-7 Three-Dimensional Figures 603
Explore 11-8 Geometry Lab: Three-Dimensional Figures 607
11-8 Drawing Three-Dimensional Figures 608
11-9 Volume of Prisms 613
11-10 Volume of Cylinders 619
Extend 11-10 Graphing Calculator Lab: Graphing Geometric Relationships 624
ASSESSMENT
Study Guide and Review 626
Practice Test 631
California Standards Practice 632
Standards Review
Tips for Success CA1
Multiple-Choice Questions CA2
Practice by Standard CA4
Chapter 12 Looking Ahead to Grade 7: Geometry and Measurement
12-1 Estimating Square Roots 636
12-2 The Pythagorean Theorem 640
12-3 Problem-Solving Investigation: Make a Model 646
Mid-Chapter Quiz 648
12-4 Surface Area of Rectangular Prisms 649
Extend 12-4 Measurement Lab: Changes in Volume and Surface Area 654
12-5 Surface Area of Cylinders 656
ASSESSMENT
Study Guide and Review 660
Practice Test 663
California Standards Practice 664
Student Handbook
Built-In Workbooks
Prerequisite Skills 668
Extra Practice 679
Mixed Problem Solving 715
Reference
English-Spanish Glossary 727
Selected Answers 747
Photo Credits 776
Index 777 495–512
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