GLN - Impact Mathematics Algebra and More Course 3 c2005

Mathematics - Grade 8

CHAPTER | GLN.1. | Chapter 1: Linear Relationships | |||||

LESSON | GLN.1.1. | Chapter 1 Lesson 1: Direct Variation | |||||

INVESTIGATION | GLN.1.1.1. | Ch 1 Lesson 1 Investigation 1: Direct Linear Variation (pp. 6 - 9)materials correlated to this standard → |
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INVESTIGATION | GLN.1.1.2. | Ch 1 Lesson 1 Investigation 2: Decreasing Linear Relationships (pp. 10 - 11)materials correlated to this standard → |
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INVESTIGATION | GLN.1.1.3. | Ch 1 Lesson 1 Investigation 3: Recognizing Direct Variation (pp. 12 - 15)materials correlated to this standard → |
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LESSON | GLN.1.2. | Chapter 1 Lesson 2: Slope | |||||

INVESTIGATION | GLN.1.2.1. | Ch 1 Lesson 2 Investigation 1: Describing Slope (pp. 25 - 28)materials correlated to this standard → |
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INVESTIGATION | GLN.1.2.2. | Ch 1 Lesson 2 Investigation 2: Slope and Scale (pp. 29 - 30)materials correlated to this standard → |
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INVESTIGATION | GLN.1.2.3. | Ch 1 Lesson 2 Investigation 3: Using Points and Slopes to Write Equations (pp. 31 - 35)materials correlated to this standard → |
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INVESTIGATION | GLN.1.2L. | Ch 1 Lesson 2 Lab Investigation: Making Linear Designs (pp. 36 - 37)materials correlated to this standard → |
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LESSON | GLN.1.3. | Chapter 1 Lesson 3: More Explorations with Lines | |||||

INVESTIGATION | GLN.1.3.1. | Ch 1 Lesson 3 Investigation 1: Parallel Lines and Collinear Points (pp. 47 - 48)materials correlated to this standard → |
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INVESTIGATION | GLN.1.3.2. | Ch 1 Lesson 3 Investigation 2: Rearranging and Simplifying Linear Equations (pp. 49 - 50)materials correlated to this standard → |
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INVESTIGATION | GLN.1.3.3. | Ch 1 Lesson 3 Investigation 3: Fitting Lines to Data (pp. 51 - 55)materials correlated to this standard → |
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CHAPTER | GLN.2. | Chapter 2: Quadratic and Inverse Relationships | |||||

LESSON | GLN.2.1. | Chapter 2 Lesson 1: Quadratic Relationships | |||||

INVESTIGATION | GLN.2.1.1. | Ch 2 Lesson 1 Investigation 1: Quadratic Equations and Graphs (pp. 71 - 73)materials correlated to this standard → |
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INVESTIGATION | GLN.2.1.2. | Ch 2 Lesson 1 Investigation 2: Quadratic Patterns (pp. 74 - 77)materials correlated to this standard → |
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LESSON | GLN.2.2. | Chapter 2 Lesson 2: Families of Quadratics | |||||

INVESTIGATION | GLN.2.2.1. | Ch 2 Lesson 2 Investigation 1: Quadratic Equations, Tables, and Graphs (pp. 84 - 86)materials correlated to this standard → |
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INVESTIGATION | GLN.2.2.2. | Ch 2 Lesson 2 Investigation 2: Quadratic Equations and Their Graphs (pp. 87 - 89)materials correlated to this standard → |
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INVESTIGATION | GLN.2.2.3. | Ch 2 Lesson 2 Investigation 3: Using Quadratic Relationships (pp. 90 - 92)materials correlated to this standard → |
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INVESTIGATION | GLN.2.2.4. | Ch 2 Lesson 2 Investigation 4: Comparing Quadratics and Other Relationships (pp. 93 - 95)materials correlated to this standard → |
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INVESTIGATION | GLN.2.2L. | Ch 2 Lesson 2 Lab Investigation: Solving Graph Design Puzzles (pp. 96 - 97)materials correlated to this standard → |
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LESSON | GLN.2.3. | Chapter 2 Lesson 3: Inverse Variation | |||||

INVESTIGATION | GLN.2.3.1. | Ch 2 Lesson 3 Investigation 1: When xy Is Constant (pp. 110 - 112)materials correlated to this standard → |
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INVESTIGATION | GLN.2.3.2. | Ch 2 Lesson 3 Investigation 2: Inverse Proportion (pp. 112 - 115)materials correlated to this standard → |
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INVESTIGATION | GLN.2.3.3. | Ch 2 Lesson 3 Investigation 3: Relationships with Constant Products (pp. 116 - 119)materials correlated to this standard → |
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LESSON | GLN.2.4. | Chapter 2 Lesson 4: Conjecture | |||||

INVESTIGATION | GLN.2.4.1. | Ch 2 Lesson 4 Investigation 1: Making Conjectures (pp. 128 - 130)materials correlated to this standard → |
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INVESTIGATION | GLN.2.4.2. | Ch 2 Lesson 4 Investigation 2: Detective Work (pp. 131 - 133)materials correlated to this standard → |
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CHAPTER | GLN.3. | Chapter 3: Exponents and Exponential Variation | |||||

LESSON | GLN.3.1. | Chapter 3 Lesson 1: Exponents Revisited | |||||

INVESTIGATION | GLN.3.1.1. | Ch 3 Lesson 1 Investigation 1: Positive Integer Exponents (pp. 146 - 148)materials correlated to this standard → |
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INVESTIGATION | GLN.3.1.2. | Ch 3 Lesson 1 Investigation 2: Negative Integer Exponents (pp. 149 - 152)materials correlated to this standard → |
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INVESTIGATION | GLN.3.1.3. | Ch 3 Lesson 1 Investigation 3: Laws of Exponents (pp. 153 - 155)materials correlated to this standard → |
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INVESTIGATION | GLN.3.1.4. | Ch 3 Lesson 1 Investigation 4: Exponent Laws and Scientific Notation (pp. 156 - 158)materials correlated to this standard → |
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INVESTIGATION | GLN.3.1L. | Ch 3 Lesson 1 Lab Investigation: Modeling Our Solar System (pp. 159 - 161)materials correlated to this standard → |
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LESSON | GLN.3.2. | Chapter 3 Lesson 2: Exponential Relationships | |||||

INVESTIGATION | GLN.3.2.1. | Ch 3 Lesson 2 Investigation 1: Exponential Growth (pp. 170 - 172)materials correlated to this standard → |
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INVESTIGATION | GLN.3.2.2. | Ch 3 Lesson 2 Investigation 2: Growing Even More (pp. 173 - 174)materials correlated to this standard → |
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INVESTIGATION | GLN.3.2.3. | Ch 3 Lesson 2 Investigation 3: Exponential Decay (pp. 175 - 178)materials correlated to this standard → |
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INVESTIGATION | GLN.3.2.4. | Ch 3 Lesson 2 Investigation 4: Identifying Exponential Growth (pp. 178 - 181)materials correlated to this standard → |
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LESSON | GLN.3.3. | Chapter 3 Lesson 3: Radicals | |||||

INVESTIGATION | GLN.3.3.1. | Ch 3 Lesson 3 Investigation 1: Square Roots (pp. 190 - 192)materials correlated to this standard → |
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INVESTIGATION | GLN.3.3.2. | Ch 3 Lesson 3 Investigation 2: Simplifying Radical Expressions (pp. 193 - 196) | |||||

INVESTIGATION | GLN.3.3.3. | Ch 3 Lesson 3 Investigation 3: nth Roots (pp. 197 - 199)materials correlated to this standard → |
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INVESTIGATION | GLN.3.3.4. | Ch 3 Lesson 3 Investigation 4: Irrational Numbers (pp. 200 - 202)materials correlated to this standard → |
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CHAPTER | GLN.4. | Chapter 4: Solving Equations | |||||

LESSON | GLN.4.1. | Chapter 4 Lesson 1: Revisiting Equations | |||||

INVESTIGATION | GLN.4.1.1. | Ch 4 Lesson 1 Investigation 1: Reviewing Equation-Solving Methods (pp. 214 - 218)materials correlated to this standard → |
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INVESTIGATION | GLN.4.1L. | Ch 4 Lesson 1 Lab Investigation: Clock Systems (pp. 219 - 222)materials correlated to this standard → |
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LESSON | GLN.4.2. | Chapter 4 Lesson 2: Inequalities | |||||

INVESTIGATION | GLN.4.2.1. | Ch 4 Lesson 2 Investigation 1: Describing Inequalities (pp. 227 - 229)materials correlated to this standard → |
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INVESTIGATION | GLN.4.2.2. | Ch 4 Lesson 2 Investigation 2: Solving Inequalities (pp. 229 - 231)materials correlated to this standard → |
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INVESTIGATION | GLN.4.2.3. | Ch 4 Lesson 2 Investigation 3: Graphing Inequalities (pp. 232 - 234)materials correlated to this standard → |
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LESSON | GLN.4.3. | Chapter 4 Lesson 3: Using Graphs and Tables to Solve Equations | |||||

INVESTIGATION | GLN.4.3.1. | Ch 4 Lesson 3 Investigation 1: Finding Values from a Graph (pp. 241 - 244)materials correlated to this standard → |
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INVESTIGATION | GLN.4.3.2. | Ch 4 Lesson 3 Investigation 2: Using Tables to Solve Equations (pp. 245 - 248)materials correlated to this standard → |
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LESSON | GLN.4.4. | Chapter 4 Lesson 4: Solving Systems of Equations | |||||

INVESTIGATION | GLN.4.4.1. | Ch 4 Lesson 4 Investigation 1: Graphing Systems of Equations (pp. 257 - 259)materials correlated to this standard → |
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INVESTIGATION | GLN.4.4.2. | Ch 4 Lesson 4 Investigation 2: Problems Involving Systems of Equations (pp. 260 - 262)materials correlated to this standard → |
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INVESTIGATION | GLN.4.4.3. | Ch 4 Lesson 4 Investigation 3: Solving Systems of Equations by Substitution (pp. 263 - 265)materials correlated to this standard → |
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INVESTIGATION | GLN.4.4.4. | Ch 4 Lesson 4 Investigation 4: Solving Systems of Equations by Elimination (pp. 266 - 269)materials correlated to this standard → |
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INVESTIGATION | GLN.4.4L. | Ch 4 Lesson 4 Lab Investigation: Using a Spreadsheet to Solve Problems with Two Variables (pp. 270 - 274)materials correlated to this standard → |
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CHAPTER | GLN.5. | Chapter 5: Transformational Geometry | |||||

LESSON | GLN.5.1. | Chapter 5 Lesson 1: Reflection | |||||

INVESTIGATION | GLN.5.1.1. | Ch 5 Lesson 1 Investigation 1: Lines of Symmetry (pp. 289 - 291) | |||||

INVESTIGATION | GLN.5.1.2. | Ch 5 Lesson 1 Investigation 2: Reflection (pp. 292 - 295)materials correlated to this standard → |
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INVESTIGATION | GLN.5.1.3. | Ch 5 Lesson 1 Investigation 3: The Perpendicular Bisector (pp. 295 - 296)materials correlated to this standard → |
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LESSON | GLN.5.2. | Chapter 5 Lesson 2: Rotation | |||||

INVESTIGATION | GLN.5.2.1. | Ch 5 Lesson 2 Investigation 1: Rotation Symmetry (pp. 302 - 304) | |||||

INVESTIGATION | GLN.5.2.2. | Ch 5 Lesson 2 Investigation 2: Rotation as a Transformation (pp. 305 - 306)materials correlated to this standard → |
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INVESTIGATION | GLN.5.2.3. | Ch 5 Lesson 2 Investigation 3: The Angle of Rotation (pp. 307 - 308)materials correlated to this standard → |
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LESSON | GLN.5.3. | Chapter 5 Lesson 3: Translation and Combining Transformations | |||||

INVESTIGATION | GLN.5.3.1. | Ch 5 Lesson 3 Investigation 1: Translation (pp. 313 - 315)materials correlated to this standard → |
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INVESTIGATION | GLN.5.3.2. | Ch 5 Lesson 3 Investigation 2: Combining Transformations (pp. 316 - 317)materials correlated to this standard → |
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INVESTIGATION | GLN.5.3L. | Ch 5 Lesson 3 Lab Investigation: Making Tessellations (pp. 318 - 321)materials correlated to this standard → |
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LESSON | GLN.5.4. | Chapter 5 Lesson 4: Dilation | |||||

INVESTIGATION | GLN.5.4.1. | Ch 5 Lesson 4 Investigation 1: Scale Drawings (pp. 330 - 333)materials correlated to this standard → |
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LESSON | GLN.5.5. | Chapter 5 Lesson 5: Coordinates and Transformations | |||||

INVESTIGATION | GLN.5.5.1. | Ch 5 Lesson 5 Investigation 1: Reflection and Rotation with Coordinates (pp. 340 - 342)materials correlated to this standard → |
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INVESTIGATION | GLN.5.5.2. | Ch 5 Lesson 5 Investigation 2: Translation with Coordinates (pp. 343 - 345)materials correlated to this standard → |
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CHAPTER | GLN.6. | Chapter 6: Working with Expressions | |||||

LESSON | GLN.6.1. | Chapter 6 Lesson 1: Rearranging Algebraic Expressions | |||||

INVESTIGATION | GLN.6.1.1. | Ch 6 Lesson 1 Investigation 1: Using Geometric Models (pp. 359 - 361)materials correlated to this standard → |
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INVESTIGATION | GLN.6.1.2. | Ch 6 Lesson 1 Investigation 2: Simplifying Expressions (pp. 362 - 365)materials correlated to this standard → |
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INVESTIGATION | GLN.6.1L. | Ch 6 Lesson 1 Lab Investigation: Making the Cut (pp. 366 - 367)materials correlated to this standard → |
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LESSON | GLN.6.2. | Chapter 6 Lesson 2: Expanding Products of Binomials | |||||

INVESTIGATION | GLN.6.2.1. | Ch 6 Lesson 2 Investigation 1: Using Geometric Models to Multiply Binomials (pp. 374 - 375)materials correlated to this standard → |
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INVESTIGATION | GLN.6.2.2. | Ch 6 Lesson 2 Investigation 2: Multiplying Binomials That Involve Addition (pp. 376 - 378)materials correlated to this standard → |
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INVESTIGATION | GLN.6.2.3. | Ch 6 Lesson 2 Investigation 3: Multiplying Binomials That Involve Subtraction (pp. 378 - 380)materials correlated to this standard → |
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INVESTIGATION | GLN.6.2.4. | Ch 6 Lesson 2 Investigation 4: Shortcuts for Multiplying Binomials (pp. 381 - 383)materials correlated to this standard → |
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LESSON | GLN.6.3. | Chapter 6 Lesson 3: Patterns in Products of Binomials | |||||

INVESTIGATION | GLN.6.3.1. | Ch 6 Lesson 3 Investigation 1: Squaring Binomials (pp. 390 - 392)materials correlated to this standard → |
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INVESTIGATION | GLN.6.3.2. | Ch 6 Lesson 3 Investigation 2: Differences of Squares (pp. 393 - 395)materials correlated to this standard → |
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LESSON | GLN.6.4. | Chapter 6 Lesson 4: Working with Algebraic Fractions | |||||

INVESTIGATION | GLN.6.4.1. | Ch 6 Lesson 4 Investigation 1: Making Sense of Algebraic Fractions (pp. 401 - 403)materials correlated to this standard → |
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INVESTIGATION | GLN.6.4.2. | Ch 6 Lesson 4 Investigation 2: Rearranging Algebraic Fractions (pp. 403 - 406)materials correlated to this standard → |
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LESSON | GLN.6.5. | Chapter 6 Lesson 5: Adding and Subtracting Algebraic Fractions | |||||

INVESTIGATION | GLN.6.5.1. | Ch 6 Lesson 5 Investigation 1: Combining Algebraic Fractions (pp. 411 - 413) | |||||

INVESTIGATION | GLN.6.5.2. | Ch 6 Lesson 5 Investigation 2: Strategies for Adding and Subtracting Algebraic Fractions (pp. 414 - 417) | |||||

INVESTIGATION | GLN.6.5.3. | Ch 6 Lesson 5 Investigation 3: Solving Equations with Fractions (pp. 417 - 420)materials correlated to this standard → |
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CHAPTER | GLN.7. | Chapter 7: Solving Quadratic Equations | |||||

LESSON | GLN.7.1. | Chapter 7 Lesson 1: Solving by Backtracking | |||||

INVESTIGATION | GLN.7.1.1. | Ch 7 Lesson 1 Investigation 1: Backtracking with New Operations (pp. 433 - 435)materials correlated to this standard → |
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INVESTIGATION | GLN.7.1.2. | Ch 7 Lesson 1 Investigation 2: Backtracking with Powers (pp. 436 - 438)materials correlated to this standard → |
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LESSON | GLN.7.2. | Chapter 7 Lesson 2: Solving by Factoring | |||||

INVESTIGATION | GLN.7.2.1. | Ch 7 Lesson 2 Investigation 1: Factoring Quadratic Expressions (pp. 442 - 444)materials correlated to this standard → |
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INVESTIGATION | GLN.7.2.2. | Ch 7 Lesson 2 Investigation 2: Practice with Factoring (pp. 445 - 447)materials correlated to this standard → |
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INVESTIGATION | GLN.7.2.3. | Ch 7 Lesson 2 Investigation 3: Solving Quadratics by Factoring (pp. 448 - 450)materials correlated to this standard → |
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LESSON | GLN.7.3. | Chapter 7 Lesson 3: Completing the Square | |||||

INVESTIGATION | GLN.7.3.1. | Ch 7 Lesson 3 Investigation 1: Finding Perfect Squares (pp. 457 - 459) | |||||

INVESTIGATION | GLN.7.3.2. | Ch 7 Lesson 3 Investigation 2: Solving Quadratics by Completing the Square (pp. 459 - 461) | |||||

LESSON | GLN.7.4. | Chapter 7 Lesson 4: The Quadratic Formula | |||||

INVESTIGATION | GLN.7.4.1. | Ch 7 Lesson 4 Investigation 1: Using the Quadratic Formula (pp. 467 - 468) | |||||

INVESTIGATION | GLN.7.4.2. | Ch 7 Lesson 4 Investigation 2: Applying the Quadratic Formula (pp. 469 - 471) | |||||

INVESTIGATION | GLN.7.4.3. | Ch 7 Lesson 4 Investigation 3: What Does b^2 - 4ac Tell You? (pp. 472 - 474) | |||||

INVESTIGATION | GLN.7.4L. | Ch 7 Lesson 4 Lab Investigation: The Golden Ratio (pp. 475 - 478)materials correlated to this standard → |
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CHAPTER | GLN.8. | Chapter 8: Functions and Their Graphs | |||||

LESSON | GLN.8.1. | Chapter 8 Lesson 1: Functions | |||||

INVESTIGATION | GLN.8.1.1. | Ch 8 Lesson 1 Investigation 1: Function Machines (pp. 490 - 491)materials correlated to this standard → |
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INVESTIGATION | GLN.8.1.2. | Ch 8 Lesson 1 Investigation 2: Describing Functions with Rules and Graphs (pp. 492 - 496)materials correlated to this standard → |
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INVESTIGATION | GLN.8.1.3. | Ch 8 Lesson 1 Investigation 3: Finding Maximum Values of Functions (pp. 497 - 498)materials correlated to this standard → |
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INVESTIGATION | GLN.8.1.4. | Ch 8 Lesson 1 Investigation 4: Maximum Areas, Minimum Lengths (pp. 499 - 501)materials correlated to this standard → |
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INVESTIGATION | GLN.8.1L. | Ch 8 Lesson 1 Lab Investigation: The Biggest Box (pp. 502 - 503)materials correlated to this standard → |
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LESSON | GLN.8.2. | Chapter 8 Lesson 2: Graphs and Functions | |||||

INVESTIGATION | GLN.8.2.1. | Ch 8 Lesson 2 Investigation 1: Comparing Graphs of Functions (pp. 515 - 517)materials correlated to this standard → |
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INVESTIGATION | GLN.8.2.2. | Ch 8 Lesson 2 Investigation 2: Working with Graphs (pp. 518 - 522)materials correlated to this standard → |
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INVESTIGATION | GLN.8.2.3. | Ch 8 Lesson 2 Investigation 3: Using x-intercepts (pp. 522 - 524)materials correlated to this standard → |
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INVESTIGATION | GLN.8.2.4. | Ch 8 Lesson 2 Investigation 4: Intersections of Functions (pp. 525 - 527)materials correlated to this standard → |
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CHAPTER | GLN.9. | Chapter 9: Probability | |||||

LESSON | GLN.9.1. | Chapter 9 Lesson 1: Counting Strategies | |||||

INVESTIGATION | GLN.9.1L. | Ch 9 Lesson 1 Lab Investigation: Pizza Toppings (pp. 545 - 546)materials correlated to this standard → |
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INVESTIGATION | GLN.9.1.1. | Ch 9 Lesson 1 Investigation 1: One-on-One Basketball (pp. 547 - 550)materials correlated to this standard → |
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INVESTIGATION | GLN.9.1.2. | Ch 9 Lesson 1 Investigation 2: More Counting Strategies (pp. 550 - 554)materials correlated to this standard → |
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INVESTIGATION | GLN.9.1.3. | Ch 9 Lesson 1 Investigation 3: Counting Strategies Using Patterns (pp. 554 - 557)materials correlated to this standard → |
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LESSON | GLN.9.2. | Chapter 9 Lesson 2: Probability Distributions | |||||

INVESTIGATION | GLN.9.2.1. | Ch 9 Lesson 2 Investigation 1: Comparing Probabilities of Events (pp. 566 - 568)materials correlated to this standard → |
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INVESTIGATION | GLN.9.2.2. | Ch 9 Lesson 2 Investigation 2: The Rolling Differences Game (pp. 569 - 570)materials correlated to this standard → |
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INVESTIGATION | GLN.9.2.3. | Ch 9 Lesson 2 Investigation 3: The Land Grab Game (pp. 571 - 572)materials correlated to this standard → |
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LESSON | GLN.9.3. | Chapter 9 Lesson 3: Probability Investigations | |||||

INVESTIGATION | GLN.9.3.1. | Ch 9 Lesson 3 Investigation 1: Analyzing Lottery Games (pp. 582 - 586)materials correlated to this standard → |
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INVESTIGATION | GLN.9.3.2. | Ch 9 Lesson 3 Investigation 2: Analyzing Sports Playoffs (pp. 587 - 589)materials correlated to this standard → |
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CHAPTER | GLN.10. | Chapter 10: Modeling Data | |||||

LESSON | GLN.10.1. | Chapter 10 Lesson 1: Data Patterns in Tables and Graphs | |||||

INVESTIGATION | GLN.10.1.1. | Ch 10 Lesson 1 Investigation 1: Analyzing Data Using Tables (pp. 602 - 604)materials correlated to this standard → |
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INVESTIGATION | GLN.10.1.2. | Ch 10 Lesson 1 Investigation 2: Organizing Data (pp. 605 - 608)materials correlated to this standard → |
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INVESTIGATION | GLN.10.1.3. | Ch 10 Lesson 1 Investigation 3: Looking for Trends (pp. 608 - 612)materials correlated to this standard → |
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INVESTIGATION | GLN.10.1.4. | Ch 10 Lesson 1 Investigation 4: From Maps to Graphs (pp. 612 - 615)materials correlated to this standard → |
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LESSON | GLN.10.2. | Chapter 10 Lesson 2: Models, Data, and Decisions | |||||

INVESTIGATION | GLN.10.2.1. | Ch 10 Lesson 2 Investigation 1: Data and Algebra (pp. 632 - 633)materials correlated to this standard → |
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INVESTIGATION | GLN.10.2.2. | Ch 10 Lesson 2 Investigation 2: Modeling a Simple Economic Problem (pp. 634 - 635)materials correlated to this standard → |
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INVESTIGATION | GLN.10.2.3. | Ch 10 Lesson 2 Investigation 3: Starting a Business (pp. 636 - 637)materials correlated to this standard → |
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INVESTIGATION | GLN.10.2.4. | Ch 10 Lesson 2 Investigation 4: Model Population (pp. 638 - 641)materials correlated to this standard → |