North Carolina Standard Course of Study, 2003, grade 8 [NC] PH Course 3 Lesson


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1 [NC] North Carolina Standard Course of Study, 2003, grade 8 PH Course 3 Lesson COMPETENCY GOAL 1: The learner will understand and compute with real 1.01 Develop number sense for the real numbers. 12, 23, 31, 32, 33, 34, 77, 84, 85, 86, 87, a Define and use irrational numbers. 31, 32, 33, 34, 77, 84, 85, 86, 87, b Compare, order and classify real numbers. 12, 23, 31, c Use estimates of irrational numbers in appropriate 31, situations Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil. throughout the program COMPETENCY GOAL 2: The learner will understand and use measurement 2.01 Determine the effect on perimeter/circumference, area, 89, 44b, 45b, 89a surface area, or volume when one or more dimensions of two and threedimensional figures are changed Apply and use concepts of indirect measurement. 32, 33, 47 COMPETENCY GOAL 3: The learner will understand and use properties and 3.01 Represent problem situations with geometric models. 45a, 45b 3.02 Apply geometric properties and relationships, including 26, 32, 33, 34, 37, 3 the Pythagorean Theorem, to solve problems. 8, 44, 45, 47, 84, 85, 86, 87, Identify, predict, and describe dilations on a rectangular 45, coordinate plane. COMPETENCY GOAL 4: The learner will understand and use graphs and data 4.01 Collect, organize, analyze, and display data (including scatterplots) to solve problems. 92, 95, 96, 97, 98, 99, 91, 97a, 112b 4.02 Approximate a line of best fit for a given scatterplot; explain the meaning of the line as it relates to the problem and make predictions Identify misuses of statistical and numerical data. 94 COMPETENCY GOAL 5: The learner will understand and use linear relations and 5.01 Develop an understanding of function 5.01a Translate among verbal, tabular, graphic, and algebraic 113, 115, 116, 35a, representations of functions. 117b 5.01b Identify relations and functions as linear or nonlinear 116, 43a among verbal, tabular, graphic, and algebraic representations. 5.01c Find, identify, and interpret the slope (rate of change) 114, 115, 116, 114a and intercepts of a linear relation. 5.01d Interpret and compare properties of linear functions 35, 114, 115, 116 from tables, graphs, or equations Write an equation of a linear relationship given: two 35, points, the slope and one point on the line, or the slope and yintercept Solve problems using linear inequalities; justify 65, 66 symbolically and graphically Solve equations using the inverse relationships of addition and subtraction, multiplication and division, squares and square roots, and cubes and cube roots. 16, 17, 35, 43, 44, 47, 53, 54, 61, 63, 64, 65, 66,
2 Course 3 Stnd 1 Stnd 2 Stnd 3 Stnd Algebraic Expressions and the Order of 12 Integers and Absolute Value 1.01b 13 Adding and Subtracting Integers 14 Multiplying and Dividing Integers 15 Properties of Numbers 16 Solving Equations by Adding and Solving Equations by Multiplying and Factors 22 Equivalent Forms of Rational Numbers 23 Comparing and Ordering Rational 1.01b 24 Adding and Subtracting Rational 25 Multiplying and Dividing Rational Formulas Powers and Exponents 28 Scientific Notation 31 Exloring Square Roots and Irrational 1.01a 1.01b 1.01c 1.01d 32 The Pythagorean Theorem 1.01a Using the Pythagorean Theorem 1.01a Graphing in the coordinate Plane 1.01a Equations, Tables, and Graphs 5.01d Translations 37 Reflections and Symmetry Rotations Ratios and Rates 42 Converting Units 43 Solving Proportions Similar Figures and Proportions Similarity Transformations Scale Models and Maps 47 Similarity and Indirect measurement Fractions, Decimals, and Percents 1.01b 52 Estimating with Percents 53 Percents and Proportions Percents and Equations Percent of Change 56 Markup and Discount 57 Simple Interest 58 Ratios and Probability 61 Solving TwoStep Equations Simplifying Algebraic Expressions 63 Solving MultiStep Equations Solving Equations with Variables in Both Solving Inequalities by Adding or Solving Inequalities by Multiplying or Pairs of Angles 3.02
3 72 Angles and Parallel Lines Congruent Polygons Classifying Triangles and Quadrilaterals 75 Angles and Polygons Areas of Polygons Circumference and Area of a Circle 1.01a Constructions 81 Solids 82 Drawing Views of ThreeDimensional 83 Nets and ThreeDimensional Figures 84 Surface Areas of Prisms and Cylinders 1.01a Surface Areas of Pyramids and Cones 1.01a Volume of Prisms and cylinders 1.01a Volumes of Pyramids and Cones 1.01a Spheres 1.01a Exploring Similar Solids Finding Mean, Median, and Mode 92 Displaying Frequency Venn Diagrams 94 Reading Graphs Critically StemandLeaf Plots BoxandWhisker Plots Mnaking Predictions from Scatter Plots Circle Graphs Choosing an Appropriate Graph Theoretical and Experimental Probability 102 Making Predictions 103 Conducting a Survey 104 Independent and Dependent Events 105 Permutations 106 Combinations 111 Sequences 112 Relating Graphs to Events 113 Functions 5.01a 114 Understanding Slope 5.01c 5.01d 115 Graphing Linear Equations 5.01a 5.01c 5.01d 116 Writing Rules for Linear Functions 5.01a 5.01b 5.01c 5.01d 117 Quadratic and Other Nonlinear 121 Exploring Polynomials 122 Adding and Subtracting Polynomials 123 Exponents and Multiplications 124 Multiplying Polynomials 125 Exponents and Division
4 Course 3 NC Stand ard 1 NC Standar d 2 FEATURE PAGES 14 After 12: AL Data Analysis: Integers and Differences 15 Before 13: AL: Adding Integers 32 Before 16: AL Hands On: Modeling Equations 37 After 16: AL: Number Squares 42 After 17: AL Algebra Thinking: The Coverup Method 61 After 22: AL: Repeating Decimals 71 Before 25: AL Hands On: Modeling Fraction 80 Before 26: AL Algebra Thinking: Estimating Solutions 85 After 26: AL Technology: Using Formulas 90 After 27: AL Technology: Evaluating Expressions 91 Before 28: AL: Multiplying by Powers of Ten 96 After 28: AL Data Analysis: Writing Measurements 111 Before 32: AL Hands On: Exploring the Pythagorean Theorem 122 After 33: Extension: Analyzing Triangles 128 After 34: AL: Finding the Midpoint 129 Before 35: AL Data Analysis: Tables and Graphs 5.01a 135 After 35: AL AlgebraThinking: Matching Graphs 140 Before 37: AL Hands On: Exploring Reflections 145 Before 38: AL Hands On: Exploring Rotations 150 After 38: Extension: Tessellations 164 After 41: AL: Finding Rates 165 Before 42: AL: Choosing Units 171 Before 43: AL: Proportional and NonProportional Relationships 5.01b 185 After 44: AL: Ratios of Similar Figures Before 45: AL: Exploring Dilations After 45: AL: Geometry Software and Dilations Before 47: AL HandsOn: Using Similar Figures 223 After 53: AL Data Analysis: Percents and Graphs 229 Before 55: AL Data Analysis: Describing Change 239 After 56: AL Hands On: Using Percents 245 Before 58: AL Hands On: Exploring Probability 260 Before 61: AL Hands On: Modeling MultiStep Equations 265 Before 62: AL Hands On: Modelling Expressions 281 Before 65: AL: Graphing Inequalities 287 Before 66: AL: Inequalities and Negative Numbers 302 Before 71: AL Hands On: Exploring Pairs of Angles 311 After 72: AL Algebra Thinking: Solving Angle 323 Before 75: AL: Angle Sums 335 Before 77: AL HandsOn: Estimating Area 340 After 77: Extension: Arcs, Chords, and Semicircles 344 After 78: AL Technolgy: Geometry Software and Constructions 362 After 82: AL: Sketching Solids 363 Before 83: AL Hands On: Making Solids From Nets 367 Before 84: AL Hands On: Modeling Surface Area 373 Before 85: AL Hands On: Surface Area of a Pyramid
5 379 Before 86: AL Hands On: Modeling Volume 387 Before 87: AL HandsOn: Finding Volume Using 397 Before 89: AL: Changing Dimensions After 89: AL Data Analysis: Precision and Significant Digits 417 After 91: AL Data Collection: Comparing Mean and Median After 92: AL Technology: Making Histograms 427 Before 94: AL Data Analysis: Reading Graphical Displays 432 After 94: AL Data Analysis: Making Graphs to Tell a Story 442 After 96: AL Technology: Making BoxandWhisker 443 Before 97: AL Data Collection: Scatter Plots After 97: AL Algebra Thinking: Plotting a Strategy 460 After 99: Al Technology: Graphing Data Using Spreadsheets 474 Before 102: AL Hands On: Fair Games 479 After 102: Extension: Complements and Probability 484 After 103: AL Technology: Simulations With Random Numbers 485 Before 104: AL Hands On: Comparing Types of Events 517 After 111: AL Technology: Exploring Sequences 522 After 112: AL Data Collection: Line Graphs Before 114: AL: Rate of Change 5.01c 532 After 114: Extension: Parallel and Perpendicular Lines 533 Before 115: AL Technology: Graphing Equations 550 After 117: AL Data Analysis: Changing Representations 5.01a 560 Before 121: AL: Writing Expressions 570 Before 123: AL: Exploring Exponents 575 After 123: AL Technology: Scientific Notation 586 After 125: Extension: Power Rules