1 I Integers Section 1.1 Section 1.2 I like talking about math, and working with a partner allows me to do that. Section 1.3 Section 1.4 Section 1.5 viii What You Learned Before ...........................1 Integers and Absolute Value Activity ....................................................................2 Lesson ....................................................................4 Adding Integers Activity ....................................................................8 Lesson ..................................................................10 Subtracting Integers Activity ..................................................................14 Lesson ..................................................................16 Study Help/Graphic Organizer.............20 1.1–1.3 Quiz ........................................................ 21 Multiplying Integers Activity .................................................................22 Lesson .................................................................24 Dividing Integers Activity .................................................................28 Lesson .................................................................30 1.4–1.5 Quiz .......................................................34 Chapter Review .............................................35 Chapter Test ....................................................38 Standards Assessment .............................39 Rational Numbers Section 2.1 Section 2.2 Section 2.3 Section 2.4 What You Learned Before .......................43 Rational Numbers Activity .................................................................44 Lesson .................................................................46 Adding Rational Numbers Activity .................................................................50 Lesson .................................................................52 Study Help/Graphic Organizer.............56 2.1–2.2 Quiz ......................................................57 Subtracting Rational Numbers Activity .................................................................58 Lesson .................................................................60 Multiplying and Dividing Rational Numbers Activity .................................................................64 Lesson .................................................................66 2.3–2.4 Quiz .....................................................70 Chapter Review ............................................. 7 1 Chapter Test ....................................................74 Standards Assessment .............................75 2 With my eBook, I get to decide when I use technology and when I use print. ix 3 E Expressions a and Equations Section 3.1 Section 3.2 I like that the Essential Question helps me begin thinking about the lesson. Section 3.3 Section 3.4 Section 3.5 x What You Learned Before .......................79 Algebraic Expressions Activity .................................................................80 Lesson .................................................................82 Adding and Subtracting Linear Expressions Activity .................................................................86 Lesson .................................................................88 Extension: Factoring Expressions ......92 Study Help/Graphic Organizer.............94 3.1–3.2 Quiz ......................................................95 Solving Equations Using Addition or Subtraction Activity .................................................................96 Lesson .................................................................98 Solving Equations Using Multiplication or Division Activity ...............................................................102 Lesson ...............................................................104 Solving Two-Step Equations Activity ...............................................................108 Lesson ............................................................... 110 3.3–3.5 Quiz ................................................... 114 Chapter Review ........................................... 115 Chapter Test .................................................. 118 Standards Assessment ........................... 119 Inequalities Section 4.1 Section 4.2 Section 4.3 Section 4.4 What You Learned Before .....................123 Writing and Graphing Inequalities Activity ...............................................................124 Lesson ...............................................................126 Solving Inequalities Using Addition or Subtraction Activity ...............................................................130 Lesson ...............................................................132 Study Help/Graphic Organizer...........136 4.1– 4.2 Quiz ................................................... 137 Solving Inequalities Using Multiplication or Division Activity ...............................................................138 Lesson ...............................................................140 Solving Two-Step Inequalities Activity ...............................................................146 Lesson ...............................................................148 4.3–4.4 Quiz ...................................................152 Chapter Review ...........................................153 Chapter Test ..................................................156 Standards Assessment ........................... 157 4 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 R Section 5.1 Section 5.2 I like Newton and Descartes! The cartoons are funny and I like that they model the math that we are learning. Section 5.3 Section 5.4 Section 5.5 Section 5.6 xii What You Learned Before ..................... 161 Ratios and Rates Activity ...............................................................162 Lesson ...............................................................164 Proportions Activity ...............................................................170 Lesson ............................................................... 172 Extension: Graphing Proportional Relationships ................................................176 Writing Proportions Activity ...............................................................178 Lesson ...............................................................180 Study Help/Graphic Organizer...........184 5.1–5.3 Quiz ....................................................185 Solving Proportions Activity ...............................................................186 Lesson ...............................................................188 Slope Activity ...............................................................192 Lesson ...............................................................194 Direct Variation Activity .............................................................. 198 Lesson ..............................................................200 5.4–5.6 Quiz ..................................................204 Chapter Review .......................................... 205 Chapter Test .................................................208 Standards Assessment ..........................209 Percents Section 6.1 Section 6.2 Section 6.3 Section 6.4 Section 6.5 Section 6.6 Section 6.7 What You Learned Before .....................213 Percents and Decimals Activity ...............................................................214 Lesson ...............................................................216 Comparing and Ordering Fractions, Decimals, and Percents Activity .............................................................. 220 Lesson .............................................................. 222 The Percent Proportion Activity .............................................................. 226 Lesson .............................................................. 228 The Percent Equation Activity .............................................................. 232 Lesson .............................................................. 234 Study Help/Graphic Organizer.......... 238 6.1 – 6.4 Quiz.................................................. 239 Percents of Increase and Decrease Activity ..............................................................240 Lesson .............................................................. 242 Discounts and Markups Activity ..............................................................246 Lesson ..............................................................248 Simple Interest Activity .............................................................. 252 Lesson .............................................................. 254 6.5– 6.7 Quiz ................................................. 258 Chapter Review .......................................... 259 Chapter Test .................................................264 Standards Assessment .......................... 265 6 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 C Constructions and S Scale Drawings Section 7.1 Section 7.2 I like the real-life application exercises because they show me how I can use the math in my own life. Section 7.3 Section 7.4 Section 7.5 xiv What You Learned Before ....................269 Adjacent and Vertical Angles Activity .............................................................. 270 Lesson .............................................................. 272 Complementary and Supplementary Angles Activity .............................................................. 276 Lesson .............................................................. 278 Triangles Activity .............................................................. 282 Lesson ..............................................................284 Extension: Angle Measures of Triangles ...................................................288 Study Help/Graphic Organizer..........290 7.1–7.3 Quiz ................................................... 291 Quadrilaterals Activity .............................................................. 292 Lesson ..............................................................294 Scale Drawings Activity ..............................................................298 Lesson ..............................................................300 7.4–7.5 Quiz ..................................................306 Chapter Review .......................................... 307 Chapter Test ................................................. 310 Standards Assessment .......................... 3 1 1 Circles and Area Section 8.1 Section 8.2 Section 8.3 Section 8.4 What You Learned Before .....................315 Circles and Circumference Activity ...............................................................316 Lesson ...............................................................318 Perimeters of Composite Figures Activity .............................................................. 324 Lesson .............................................................. 326 Study Help/Graphic Organizer.......... 330 8.1–8.2 Quiz ....................................................331 Areas of Circles Activity .............................................................. 332 Lesson .............................................................. 334 Areas of Composite Figures Activity .............................................................. 338 Lesson ..............................................................340 8.3–8.4 Quiz..................................................344 Chapter Review .......................................... 345 Chapter Test .................................................348 Standards Assessment ..........................349 8 I like playing the games in the Game Closet! They are a fun way to practice concepts we are learning in class. xv 9 S Surface Area a and Volume Section 9.1 Section 9.2 With the BigIdeasMath.com website I don’t have to worry if I forget my book or my workbook at school. Section 9.3 Section 9.4 Section 9.5 xvi What You Learned Before .................... 353 Surface Areas of Prisms Activity .............................................................. 354 Lesson .............................................................. 356 Surface Areas of Pyramids Activity .............................................................. 362 Lesson ..............................................................364 Surface Areas of Cylinders Activity ..............................................................368 Lesson .............................................................. 370 Study Help/Graphic Organizer.......... 374 9.1–9.3 Quiz ................................................... 375 Volumes of Prisms Activity .............................................................. 376 Lesson .............................................................. 378 Volumes of Pyramids Activity .............................................................. 382 Lesson ..............................................................384 Extension: Cross Sections of Three-Dimensional Figures ................388 9.4–9.5 Quiz .................................................390 Chapter Review .......................................... 39 1 Chapter Test .................................................394 Standards Assessment .......................... 395 Probability and Statistics Section 10.1 Section 10.2 Section 10.3 Section 10.4 Section 10.5 Section 10.6 Section 10.7 What You Learned Before ....................399 Outcomes and Events Activity ..............................................................400 Lesson ..............................................................402 Probability Activity ..............................................................406 Lesson ..............................................................408 Experimental and Theoretical Probability Activity ...............................................................412 Lesson ...............................................................414 Compound Events Activity ..............................................................420 Lesson .............................................................. 422 Independent and Dependent Events Activity ..............................................................428 Lesson ..............................................................430 Extension: Simulations ..........................436 Study Help/Graphic Organizer..........438 10.1–10.5 Quiz ...............................................439 Samples and Populations Activity ..............................................................440 Lesson ..............................................................442 Extension: Generating Multiple Samples ..........................................................446 Comparing Populations Activity ..............................................................448 Lesson ..............................................................450 10.6–10.7 Quiz ..............................................454 Chapter Review .......................................... 455 Chapter Test .................................................460 Standards Assessment .......................... 461 10 I like that I can print the Glossary Flashcards to review before a test. Appendix A: My Big Ideas Projects Section A.1 Section A.2 Section A.3 Section A.4 Literature Project ......................................A2 History Project ........................................... A4 Art Project ..................................................... A6 Science Project.......................................... A8 Selected Answers ..................................................................A10 Key Vocabulary Index ........................................................A41 Student Index ..........................................................................A42 Mathematics Reference Sheet .................................. B1 xv xvii
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