[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. 1-2, 2-3, 3-1, 3-2, 3-3, 3-4, 7-7, 8-4, 8-5, 8-6, 8-7, 8-8 1.01a Define and use irrational numbers. 3-1, 3-2, 3-3, 3-4, 7-7, 8-4, 8-5, 8-6, 8-7, 8-8 1.01b Compare, order and classify real numbers. 1-2, 2-3, 3-1, 5-1 1.01c Use estimates of irrational numbers in appropriate 3-1, situations. 1.02 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, 8-9, 4-4b, 4-5b, 8-9a surface area, or volume when one or more dimensions of two- and threedimensional figures are changed. 2.02 Apply and use concepts of indirect measurement. 3-2, 3-3, 4-7 COMPETENCY GOAL 3: The learner will understand and use properties and 3.01 Represent problem situations with geometric models. 4-5a, 4-5b 3.02 Apply geometric properties and relationships, including 2-6, 3-2, 3-3, 3-4, 3-7, 3- the Pythagorean Theorem, to solve problems. 8, 4-4, 4-5, 4-7, 8-4, 8-5, 8-6, 8-7, 8-8 3.03 Identify, predict, and describe dilations on a rectangular 4-5, 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. 9-2, 9-5, 9-6, 9-7, 9-8, 9-9, 9-1, 9-7a, 11-2b 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. 4.03 Identify misuses of statistical and numerical data. 9-4 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 11-3, 11-5, 11-6, 3-5a, representations of functions. 11-7b 5.01b Identify relations and functions as linear or nonlinear 11-6, 4-3a among verbal, tabular, graphic, and algebraic representations. 5.01c Find, identify, and interpret the slope (rate of change) 11-4, 11-5, 11-6, 11-4a and intercepts of a linear relation. 5.01d Interpret and compare properties of linear functions 3-5, 11-4, 11-5, 11-6 from tables, graphs, or equations. 5.02 Write an equation of a linear relationship given: two 3-5, points, the slope and one point on the line, or the slope and y-intercept. 5.03 Solve problems using linear inequalities; justify 6-5, 6-6 symbolically and graphically. 5.04 Solve equations using the inverse relationships of addition and subtraction, multiplication and division, squares and square roots, and cubes and cube roots. 1-6, 1-7, 3-5, 4-3, 4-4, 4-7, 5-3, 5-4, 6-1, 6-3, 6-4, 6-5, 6-6,
Course 3 Stnd 1 Stnd 2 Stnd 3 Stnd 4 1-1 Algebraic Expressions and the Order of 1-2 Integers and Absolute Value 1.01b 1-3 Adding and Subtracting Integers 1-4 Multiplying and Dividing Integers 1-5 Properties of Numbers 1-6 Solving Equations by Adding and 5.04 1-7 Solving Equations by Multiplying and 5.04 2-1 Factors 2-2 Equivalent Forms of Rational Numbers 2-3 Comparing and Ordering Rational 1.01b 2-4 Adding and Subtracting Rational 2-5 Multiplying and Dividing Rational 5.04 2-6 Formulas 3.02 2-7 Powers and Exponents 2-8 Scientific Notation 3-1 Exloring Square Roots and Irrational 1.01a 1.01b 1.01c 1.01d 3-2 The Pythagorean Theorem 1.01a 2.02 3.02 3-3 Using the Pythagorean Theorem 1.01a 2.02 3.02 3-4 Graphing in the coordinate Plane 1.01a 3.02 3-5 Equations, Tables, and Graphs 5.01d 5.02 3-6 Translations 3-7 Reflections and Symmetry 3.02 3-8 Rotations 3.02 4-1 Ratios and Rates 4-2 Converting Units 4-3 Solving Proportions 5.04 4-4 Similar Figures and Proportions 3.02 5.04 4-5 Similarity Transformations 3.02 3.03 4-6 Scale Models and Maps 4-7 Similarity and Indirect measurement 2.02 3.02 5.04 5-1 Fractions, Decimals, and Percents 1.01b 5-2 Estimating with Percents 5-3 Percents and Proportions 5.04 5-4 Percents and Equations 5.04 5-5 Percent of Change 5-6 Markup and Discount 5-7 Simple Interest 5-8 Ratios and Probability 6-1 Solving Two-Step Equations 5.04 6-2 Simplifying Algebraic Expressions 6-3 Solving Multi-Step Equations 5.04 6-4 Solving Equations with Variables in Both 5.04 6-5 Solving Inequalities by Adding or 5.04 5.03 6-6 Solving Inequalities by Multiplying or 5.04 5.03 7-1 Pairs of Angles 3.02
7-2 Angles and Parallel Lines 3.02 7-3 Congruent Polygons 3.02 7-4 Classifying Triangles and Quadrilaterals 7-5 Angles and Polygons 3.02 7-6 Areas of Polygons 3.02 7-7 Circumference and Area of a Circle 1.01a 3.02 7-8 Constructions 8-1 Solids 8-2 Drawing Views of Three-Dimensional 8-3 Nets and Three-Dimensional Figures 8-4 Surface Areas of Prisms and Cylinders 1.01a 3.02 8-5 Surface Areas of Pyramids and Cones 1.01a 3.02 8-6 Volume of Prisms and cylinders 1.01a 3.02 8-7 Volumes of Pyramids and Cones 1.01a 3.02 8-8 Spheres 1.01a 3.02 8-9 Exploring Similar Solids 2.01 9-1 Finding Mean, Median, and Mode 9-2 Displaying Frequency 4.01 9-3 Venn Diagrams 9-4 Reading Graphs Critically 4.03 9-5 Stem-and-Leaf Plots 4.01 9-6 Box-and-Whisker Plots 4.01 9-7 Mnaking Predictions from Scatter Plots 4.01 9-8 Circle Graphs 4.01 9-9 Choosing an Appropriate Graph 4.01 10-1 Theoretical and Experimental Probability 10-2 Making Predictions 10-3 Conducting a Survey 10-4 Independent and Dependent Events 10-5 Permutations 10-6 Combinations 11-1 Sequences 11-2 Relating Graphs to Events 11-3 Functions 5.01a 11-4 Understanding Slope 5.01c 5.01d 11-5 Graphing Linear Equations 5.01a 5.01c 5.01d 11-6 Writing Rules for Linear Functions 5.01a 5.01b 5.01c 5.01d 11-7 Quadratic and Other Nonlinear 12-1 Exploring Polynomials 12-2 Adding and Subtracting Polynomials 12-3 Exponents and Multiplications 12-4 Multiplying Polynomials 12-5 Exponents and Division
Course 3 NC Stand ard 1 NC Standar d 2 FEATURE PAGES 14 After 1-2: AL Data Analysis: Integers and Differences 15 Before 1-3: AL: Adding Integers 32 Before 1-6: AL Hands On: Modeling Equations 37 After 1-6: AL: Number Squares 42 After 1-7: AL Algebra Thinking: The Cover-up Method 61 After 2-2: AL: Repeating Decimals 71 Before 2-5: AL Hands On: Modeling Fraction 80 Before 2-6: AL Algebra Thinking: Estimating Solutions 85 After 2-6: AL Technology: Using Formulas 90 After 2-7: AL Technology: Evaluating Expressions 91 Before 2-8: AL: Multiplying by Powers of Ten 96 After 2-8: AL Data Analysis: Writing Measurements 111 Before 3-2: AL Hands On: Exploring the Pythagorean Theorem 122 After 3-3: Extension: Analyzing Triangles 128 After 3-4: AL: Finding the Midpoint 129 Before 3-5: AL Data Analysis: Tables and Graphs 5.01a 135 After 3-5: AL AlgebraThinking: Matching Graphs 140 Before 3-7: AL Hands On: Exploring Reflections 145 Before 3-8: AL Hands On: Exploring Rotations 150 After 3-8: Extension: Tessellations 164 After 4-1: AL: Finding Rates 165 Before 4-2: AL: Choosing Units 171 Before 4-3: AL: Proportional and Non-Proportional Relationships 5.01b 185 After 4-4: AL: Ratios of Similar Figures 2.01 186 Before 4-5: AL: Exploring Dilations 3.03 191 After 4-5: AL: Geometry Software and Dilations 2.01 3.03 196 Before 4-7: AL Hands-On: Using Similar Figures 223 After 5-3: AL Data Analysis: Percents and Graphs 229 Before 5-5: AL Data Analysis: Describing Change 239 After 5-6: AL Hands On: Using Percents 245 Before 5-8: AL Hands On: Exploring Probability 260 Before 6-1: AL Hands On: Modeling Multi-Step Equations 265 Before 6-2: AL Hands On: Modelling Expressions 281 Before 6-5: AL: Graphing Inequalities 287 Before 6-6: AL: Inequalities and Negative Numbers 302 Before 7-1: AL Hands On: Exploring Pairs of Angles 311 After 7-2: AL Algebra Thinking: Solving Angle 323 Before 7-5: AL: Angle Sums 335 Before 7-7: AL Hands-On: Estimating Area 340 After 7-7: Extension: Arcs, Chords, and Semicircles 344 After 7-8: AL Technolgy: Geometry Software and Constructions 362 After 8-2: AL: Sketching Solids 363 Before 8-3: AL Hands On: Making Solids From Nets 367 Before 8-4: AL Hands On: Modeling Surface Area 373 Before 8-5: AL Hands On: Surface Area of a Pyramid
379 Before 8-6: AL Hands On: Modeling Volume 387 Before 8-7: AL Hands-On: Finding Volume Using 397 Before 8-9: AL: Changing Dimensions 2.01 402 After 8-9: AL Data Analysis: Precision and Significant Digits 417 After 9-1: AL Data Collection: Comparing Mean and Median 4.01 423 After 9-2: AL Technology: Making Histograms 427 Before 9-4: AL Data Analysis: Reading Graphical Displays 432 After 9-4: AL Data Analysis: Making Graphs to Tell a Story 442 After 9-6: AL Technology: Making Box-and-Whisker 443 Before 9-7: AL Data Collection: Scatter Plots 4.01 448 After 9-7: AL Algebra Thinking: Plotting a Strategy 460 After 9-9: Al Technology: Graphing Data Using Spreadsheets 474 Before 10-2: AL Hands On: Fair Games 479 After 10-2: Extension: Complements and Probability 484 After 10-3: AL Technology: Simulations With Random Numbers 485 Before 10-4: AL Hands On: Comparing Types of Events 517 After 11-1: AL Technology: Exploring Sequences 522 After 11-2: AL Data Collection: Line Graphs 4.01 527 Before 11-4: AL: Rate of Change 5.01c 532 After 11-4: Extension: Parallel and Perpendicular Lines 533 Before 11-5: AL Technology: Graphing Equations 550 After 11-7: AL Data Analysis: Changing Representations 5.01a 560 Before 12-1: AL: Writing Expressions 570 Before 12-3: AL: Exploring Exponents 575 After 12-3: AL Technology: Scientific Notation 586 After 12-5: Extension: Power Rules