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Prentice Hall Mathematics Course 3 © 2010 Correlated to: Colorado Academic Standards 12/2009, Grade8 COLORADO ACADEMIC STANDARDS 12/2009, GRADE8 PRENTICE HALL MATHEMATICS COURSE 3 © 2010 GRADE: Eighth Grade N: Number Sense, Properties, and Operations N.1: In the real number system, rational and irrational numbers are in one to one correspondence to points on the number line SE/TE: 10-12, 15, 17, 20, 63 N.1.a: Compare and order sets of integers and rational numbers that are expressed as fractions, decimals, or percents SE/TE: 57-60, 61, 62-65, 92-95, 96, 106-110, 210- 212 N.1.b: Given a whole number from 0 - 100, determine whether it is a perfect square or find the two consecutive whole numbers between which its square root lies SE/TE: 104C, 106-110, 152, T643 N.1.c: Approximate the location of square roots between two whole numbers on a number line SE/TE:107 N.2: Formulate, represent, and use algorithms with rational numbers flexibly, accurately, and efficiently N.2.a: Add, subtract, multiply and divide rational numbers including integers, positive and negative fractions and decimals SE/TE: 50C-50D, 66-69, 71, 72-76, 99, 158, 208, 468 N.2.b: Apply computational methods to solve multi-step application problems involving percents and rational numbers SE/TE: 271-275, 296 N.2.c: Analyze how credit and debt impact personal financial goals SE/TE: 18, 35, 175, 178, 232, 242-244, 253 P: Patterns, Functions, and Algebraic Structures P.1: Linear functions model situations with a constant rate of change and can be represented algebraically, graphically, and using tables P.1.a: Convert from one representation of a linear function to another, including situations, tables, equations (slope-intercept form), and graphs SE/TE: 131-134, 153, 523-526, 527, 533-538, 553 P.1.b: Use representations of linear functions to analyze situations and solve problems SE/TE: 131-134, 153, 523-526, 527, 533-538, 553 P.1.c: Identify the dependent and independent variable in real-world situations SE/TE: 526 P.1.d: Identify and interpret the slope (rate of change) and y-intercept in graphs, in tables, and from equations in slope-intercept form SE/TE: 510C-510D, 527, 528-531, 535, 541, 542, 553 P.1.e: Model and graph two linear equations in slope-intercept form on the same coordinate plane and interpret the point of intersection as the solution to the system of equations SE/TE: 151, 544 P.2: Properties of algebra, equality, and inequality are used to solve linear equations and inequalities SE/TE: 26-30, 258, 266-269, 272-273, 274, 277, 295, 558, 562, 563, 590, 648 P.2.a: Use the distributive, associative, and commutative properties to simplify algebraic expressions 1 SE = Student Edition TE = Teacher’s Edition Prentice Hall Mathematics Course 3 © 2010 Correlated to: Colorado Academic Standards 12/2009, Grade8 COLORADO ACADEMIC STANDARDS 12/2009, GRADE8 PRENTICE HALL MATHEMATICS COURSE 3 © 2010 P.2.b: Solve one-variable equations including those involving multiple steps, rational numbers, variables on both sides, and the distributive property SE/TE: 33-36, 38-41, 208, 261-264, 294, 295, 300 P.2.c: Solve inequalities in one variable including negative coefficients and graph the solution on a number line SE/TE:258C-258D, 282-285, 287, 288-292, 295 P.2.d: Represent the distributive property in a variety of ways including numerically, geometrically, and algebraically SE/TE: 6, 11, 28, 29, 45, 258, 267-269, 272273, 274, 277 P.3: Graphs and tables can be used to distinguish between linear and nonlinear functions P.3.a: Given a table or graph determine if the function is linear SE/TE: 131-134, 153, 533 P.3.b: Explain the properties of linear functions in tables and graphs SE/TE: 131-134, 153, 533 D: Data Analysis, Statistics, and Probability D.1: Visual displays and summary statistics of two-variable data condense the information in data sets into usable knowledge D.1.a: Given a scatter plot, calculate quadrant count ratio to quantify the magnitude and strength of the association between two variables for numeric data as positive, negative, or no correlation SE/TE: 443, 444-447, 448, 449, 453, 455, 456459, 463, 565, 597, 620, 621 D.1.b: Given a scatter plot suggesting a linear relationship, draw a line of fit to make predictions SE/TE: 445-447, 463 D.1.c: Use time series plots (line graphs) to analyze the trend of a set of data over time SE/TE: 229 S: Shape, Dimension, and Geometric Relationships S.1: Objects in the plane and their parts and attributes can be analyzed S.1.a: Classify quadrilaterals and apply angle and side properties, including the sum of the interior angles SE/TE: 300D, 318-321, 322, 323, 324-327, 347 S.1.b: Apply properties of complementary, supplementary, and vertical angle relationships SE/TE: 300C, 303-306, 346 S.1.c: Apply properties of parallel lines including corresponding angles and alternate interior angles SE/TE: 300C, 302, 307-310, 346 S.2: Direct and indirect measurements can be used to describe and make comparisons S.2.a: Use properties of similar triangles to find unknown lengths SE/TE: 158C-158D, 181-184, 203 S.2.b: Use the Pythagorean Theorem to find unknown lengths in right triangles SE/TE: 111-115, 116-117, 118-121, 126, 153, 199-200, 204 S.2.c: Use proportional reasoning to estimate distance, weight, and capacity SE/TE: 192-195, 197-200, 203 S.2.d: Use proportional reasoning to convert among measures including dimensional analysis SE/TE: 166-170, 203 2 SE = Student Edition TE = Teacher’s Edition