1 Integers I like talking about math, and working with a partner allows me to do that. What You Learned Before...1 Section 1.1 Integers and Absolute Value Activity...2 Lesson...4 Section 1.2 Adding Integers Activity...8 Lesson...10 Section 1.3 Subtracting Integers Activity...14 Lesson...16 Study Help/Graphic Organizer...20 1.1 1.3 Quiz... 21 Section 1.4 Multiplying Integers Activity...22 Lesson...24 Section 1.5 Dividing Integers Activity...28 Lesson...30 1.4 1.5 Quiz...34 Chapter Review...35 Chapter Test...38 Standards Assessment...39 viii
Rational Numbers 2 What You Learned Before...43 Section 2.1 Rational Numbers Activity...44 Lesson...46 Section 2.2 Adding Rational Numbers Activity...50 Lesson...52 Study Help/Graphic Organizer...56 2.1 2.2 Quiz...57 Section 2.3 Subtracting Rational Numbers Activity...58 Lesson...60 Section 2.4 Multiplying and Dividing Rational Numbers Activity...64 Lesson...66 2.3 2.4 Quiz...70 Chapter Review... 71 Chapter Test...74 Standards Assessment...75 With my ebook, I get to decide when I use technology and when I use print. ix
3 Expressions and Equations I like that the Essential Question helps me begin thinking about the lesson. What You Learned Before...79 Section 3.1 Algebraic Expressions Activity...80 Lesson...82 Section 3.2 Adding and Subtracting Linear Expressions Activity...86 Lesson...88 Extension: Factoring Expressions...92 Study Help/Graphic Organizer...94 3.1 3.2 Quiz...95 Section 3.3 Solving Equations Using Addition or Subtraction Activity...96 Lesson...98 Section 3.4 Solving Equations Using Multiplication or Division Activity...102 Lesson...104 Section 3.5 Solving Two-Step Equations Activity...108 Lesson... 110 3.3 3.5 Quiz... 114 Chapter Review... 115 Chapter Test... 118 Standards Assessment... 119 x
Inequalities 4 What You Learned Before...123 Section 4.1 Writing and Graphing Inequalities Activity...124 Lesson...126 Section 4.2 Solving Inequalities Using Addition or Subtraction Activity...130 Lesson...132 Study Help/Graphic Organizer...136 4.1 4.2 Quiz...137 Section 4.3 Solving Inequalities Using Multiplication or Division Activity...138 Lesson...140 Section 4.4 Solving Two-Step Inequalities Activity...146 Lesson...148 4.3 4.4 Quiz...152 Chapter Review...153 Chapter Test...156 Standards Assessment...157 I really enjoy the projects at the end of the book because they help connect the math to other subjects, like science or art. xi
5 Ratios and Proportions I like Newton and Descartes! The cartoons are funny and I like that they model the math that we are learning. What You Learned Before... 161 Section 5.1 Ratios and Rates Activity...162 Lesson...164 Section 5.2 Proportions Activity...170 Lesson...172 Extension: Graphing Proportional Relationships...176 Section 5.3 Writing Proportions Activity...178 Lesson...180 Study Help/Graphic Organizer...184 5.1 5.3 Quiz...185 Section 5.4 Solving Proportions Activity...186 Lesson...188 Section 5.5 Slope Activity...192 Lesson...194 Section 5.6 Direct Variation Activity... 198 Lesson...200 5.4 5.6 Quiz...204 Chapter Review...205 Chapter Test...208 Standards Assessment...209 xii
Percents 6 What You Learned Before...213 Section 6.1 Percents and Decimals Activity...214 Lesson...216 Section 6.2 Comparing and Ordering Fractions, Decimals, and Percents Activity...220 Lesson... 222 Section 6.3 The Percent Proportion Activity...226 Lesson...228 Section 6.4 The Percent Equation Activity... 232 Lesson...234 Study Help/Graphic Organizer...238 6.1 6.4 Quiz...239 Section 6.5 Percents of Increase and Decrease Activity...240 Lesson...242 Section 6.6 Discounts and Markups Activity...246 Lesson...248 Section 6.7 Simple Interest Activity... 252 Lesson...254 6.5 6.7 Quiz...258 Chapter Review...259 Chapter Test...264 Standards Assessment...265 I really like the Big Ideas Math website! The online resources are a huge help when I get stuck or need extra help. xiii
7 Constructions and Scale Drawings I like the real-life application exercises because they show me how I can use the math in my own life. What You Learned Before...269 Section 7.1 Adjacent and Vertical Angles Activity... 270 Lesson... 272 Section 7.2 Complementary and Supplementary Angles Activity... 276 Lesson... 278 Section 7.3 Triangles Activity...282 Lesson...284 Extension: Angle Measures of Triangles...288 Study Help/Graphic Organizer...290 7.1 7.3 Quiz... 291 Section 7.4 Quadrilaterals Activity...292 Lesson...294 Section 7.5 Scale Drawings Activity...298 Lesson...300 7.4 7.5 Quiz...306 Chapter Review... 307 Chapter Test... 310 Standards Assessment... 311 xiv
Circles and Area 8 What You Learned Before...315 Section 8.1 Circles and Circumference Activity...316 Lesson...318 Section 8.2 Perimeters of Composite Figures Activity...324 Lesson...326 Study Help/Graphic Organizer...330 8.1 8.2 Quiz...331 Section 8.3 Areas of Circles Activity... 332 Lesson...334 Section 8.4 Areas of Composite Figures Activity...338 Lesson...340 8.3 8.4 Quiz...344 Chapter Review...345 Chapter Test...348 Standards Assessment...349 I like playing the games in the Game Closet! They are a fun way to practice concepts we are learning in class. xv
9 Surface Area and Volume With the BigIdeasMath.com website I don t have to worry if I forget my book or my workbook at school. What You Learned Before... 353 Section 9.1 Surface Areas of Prisms Activity...354 Lesson...356 Section 9.2 Surface Areas of Pyramids Activity...362 Lesson...364 Section 9.3 Surface Areas of Cylinders Activity...368 Lesson... 370 Study Help/Graphic Organizer... 374 9.1 9.3 Quiz... 375 Section 9.4 Volumes of Prisms Activity... 376 Lesson... 378 Section 9.5 Volumes of Pyramids Activity...382 Lesson...384 Extension: Cross Sections of Three-Dimensional Figures...388 9.4 9.5 Quiz...390 Chapter Review... 391 Chapter Test...394 Standards Assessment...395 xvi
Probability and Statistics 10 What You Learned Before...399 Section 10.1 Outcomes and Events Activity...400 Lesson...402 Section 10.2 Probability Activity...406 Lesson...408 Section 10.3 Experimental and Theoretical Probability Activity...412 Lesson...414 Section 10.4 Compound Events Activity...420 Lesson...422 Section 10.5 Independent and Dependent Events Activity...428 Lesson...430 Extension: Simulations...436 Study Help/Graphic Organizer...438 10.1 10.5 Quiz...439 Section 10.6 Samples and Populations Activity...440 Lesson...442 Extension: Generating Multiple Samples...446 Section 10.7 Comparing Populations Activity...448 Lesson...450 10.6 10.7 Quiz...454 Chapter Review...455 Chapter Test...460 Standards Assessment... 461 I like that I can print the Glossary Flashcards to review before a test. xvii
11 Transformations Before my school had Big Ideas Math I would always lose test points because I left units off my answers. Now I see why they are so important. What You Learned Before...465 Section 11.1 Congruent Figures Activity...466 Lesson...468 Section 11.2 Translations Activity... 472 Lesson...474 Section 11.3 Reflections Activity...478 Lesson...480 Section 11.4 Rotations Activity...484 Lesson...486 Study Help/Graphic Organizer...492 11.1 11.4 Quiz...493 Section 11.5 Similar Figures Activity...494 Lesson...496 Section 11.6 Perimeters and Areas of Similar Figures Activity...500 Lesson...502 Section 11.7 Dilations Activity...506 Lesson...508 11.5 11.7 Quiz... 514 Chapter Review... 515 Chapter Test...520 Standards Assessment...521 xviii
Angles and Triangles 12 What You Learned Before... 525 Section 12.1 Parallel Lines and Transversals Activity...526 Lesson...528 Section 12.2 Angles of Triangles Activity...534 Lesson...536 Study Help/Graphic Organizer...540 12.1 12.2 Quiz...541 Section 12.3 Angles of Polygons Activity...542 Lesson...544 Section 12.4 Using Similar Triangles Activity...550 Lesson... 552 12.3 12.4 Quiz...556 Chapter Review... 557 Chapter Test...560 Standards Assessment...561 Word problems used to confuse me. Now I understand how to look for patterns and what the question is asking! xix x
13 Graphing and Writing Linear Equations I like the Big Ideas Math Tutorials because they help explain the math when I am at home. What You Learned Before...565 Section 13.1 Graphing Linear Equations Activity...566 Lesson...568 Section 13.2 Slope of a Line Activity... 572 Lesson... 574 Extension: Slopes of Parallel and Perpendicular Lines...580 Section 13.3 Graphing Proportional Relationships Activity...582 Lesson...584 Study Help/Graphic Organizer...588 13.1 13.3 Quiz...589 Section 13.4 Graphing Linear Equations in Slope-Intercept Form Activity...590 Lesson...592 Section 13.5 Graphing Linear Equations in Standard Form Activity...596 Lesson...598 Section 13.6 Writing Equations in Slope-Intercept Form Activity...602 Lesson...604 Section 13.7 Writing Equations in Point-Slope Form Activity...608 Lesson...610 13.4 13.7 Quiz...614 Chapter Review... 615 Chapter Test...620 Standards Assessment... 621 xx
Real Numbers and the Pythagorean Theorem 14 What You Learned Before...625 Section 14.1 Finding Square Roots Activity...626 Lesson...628 Section 14.2 Finding Cube Roots Activity...632 Lesson...634 Section 14.3 The Pythagorean Theorem Activity...638 Lesson...640 Study Help/Graphic Organizer...644 14.1 14.3 Quiz...645 Section 14.4 Approximating Square Roots Activity...646 Lesson...648 Extension: Repeating Decimals...654 Section 14.5 Using the Pythagorean Theorem Activity...656 Lesson...658 14.4 14.5 Quiz...662 Chapter Review...663 Chapter Test...666 Standards Assessment...667 I really like the Graphic Organizers because they show me another way to take notes. xxi
15 Volume and Similar Solids Using the Interactive Manipulatives from the Dynamic Student Edition helps me to see the mathematics that I am learning. What You Learned Before...671 Section 15.1 Volumes of Cylinders Activity... 672 Lesson...674 Section 15.2 Volumes of Cones Activity...678 Lesson...680 Study Help/Graphic Organizer...684 15.1 15.2 Quiz...685 Section 15.3 Volumes of Spheres Activity...686 Lesson...688 Section 15.4 Surface Areas and Volumes of Similar Solids Activity...692 Lesson...694 15.3 15.4 Quiz...700 Chapter Review... 701 Chapter Test...704 Standards Assessment... 705 xxii
Exponents and Scientific Notation 16 What You Learned Before...709 Section 16.1 Exponents Activity...710 Lesson...712 Section 16.2 Product of Powers Property Activity...716 Lesson...718 Section 16.3 Quotient of Powers Property Activity... 722 Lesson... 724 Section 16.4 Zero and Negative Exponents Activity... 728 Lesson... 730 Study Help/Graphic Organizer... 734 16.1 16.4 Quiz... 735 Section 16.5 Reading Scientific Notation Activity... 736 Lesson... 738 Section 16.6 Writing Scientific Notation Activity... 742 Lesson...744 Section 16.7 Operations in Scientific Notation Activity...748 Lesson... 750 16.5 16.7 Quiz...754 Chapter Review... 755 Chapter Test... 758 Standards Assessment... 759 The Skills Review Handbook helps me review topics that I learned before. Additional Topics Topic 1 Solving Multi-Step Equations...764 Topic 2 Solving Equations with Variables on Both Sides...768 Topic 3 Rewriting Equations and Formulas... 774 Appendix A: My Big Ideas Projects... A1 Selected Answers...A10 Key Vocabulary Index...A65 Student Index...A66 Mathematics Reference Sheet... B1 xxiii