Prentice Hall Mathematics, Course
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1 Prentice Hall Mathematics, Course Grade 8 C O R R E L A T E D T O North Carolina s, Mathematics Grade 8 (Adopted 2009)
2 North Carolina s, Mathematics Math 8 (Adopted 2009) North Carolina s Mathematics Grade 8 Note on Numbering: N Number and Operations, A Algebra, G Geometry, M Measurement, S Statistics and Probability and D Discrete Mathematics Number and Operations 8.N.1 Apply combinations of addition, subtraction, multiplication, and division to solve multi-step problems with all rational numbers. 8.N.1.1 Use all four operations for all rational numbers, including formal algorithms. 8.N.2 Understand the structure of the Real number system. 8.N.2.1 Classify Real numbers as natural, whole, integer, rational or irrational providing a justification. 8.N.2.2 Represent Real numbers on a number line using opposites and absolute value. SE/TE: 16-18, 20-22, 24-25, 27-30, 66-69, 71, 72-76, 78-79, 99, , , 239, , , 253 SE/TE: , 152 SE/TE: 10, 12 8.N.2.3 Compare Real numbers. SE/TE: 11-13, 45, 62-65, 99 8.A.1 Use the combining of like terms and the distributive property to write equivalent expressions. 8.A.1.1 Use area models to illustrate the distributive property. 8.A.1.2 Use Greatest Common Factor and area models to determine possible dimensions of a rectangle when given the area. 8.A.1.3 Use like terms to write equivalent expressions. 8.A.1.4 Use a given value of the variable to identify equivalent expressions. SE/TE: 28, , 591 SE/TE: 52-56, 71, SE/TE: , 295, , , 590 SE/TE: Opportunities to address this standard can be , , , A.2 Apply mathematical operations and properties to solve inequalities and equations, including variables on both sides. 8.A.2.1 Use mathematical operations and properties to solve equations. 8.A.2.2 Use mathematical operations and properties to solve inequalities. SE/TE: 32, 33-36, 37, 38-41, 42, 45, 73, 75, 82-83, 260, , , , 294, 295 SE/TE: , , 295 1
3 North Carolina s, Mathematics Math 8 (Adopted 2009) 8.A.3 Understand the use of linear relationships in slope-intercept form to solve relevant problems. 8.A.3.1 Translate a linear relationship between its verbal, tabular, graphic and algebraic forms. 8.A.3.2 Interpret the meaning of x-intercepts and y-intercepts. 8.A.3.3 Represent a linear equation in slopeintercept form, given the slope and y-intercept, slope and a point or two points. 8.A.3.4 Classify ordered pairs as correct or incorrect solutions to a linear equation. SE/TE: , 533, , , 553 SE/TE: SE/TE: , , 553 SE/TE: A.4 Interpret the meaning and value of slope of linear relationships. 8.A.4.1 Represent slope given a table, graph, linear equation or two points. 8.A.4.2 Compare the slopes of two linear relationships to determine whether the lines are parallel or intersect at a point. 8.A.4.3 Interpret the rate of change in tables to identify linear and non-linear relationships between variables. SE/TE: , , 553 SE/TE: 532 SE/TE: 527, A.5 Use the Cartesian coordinate system to solve problems involving a linear inequality. 8.A.5.1 Represent a linear inequality on the Cartesian coordinate system. 8.A.5.2 Use graphs to find solutions to a linear inequality. Geometry 8.G.1 Understand square roots and cube roots. 8.G.1.1 Understand the relationship between geometric squares, perfect squares and their square roots. 8.G.1.2 Understand the relationship between geometric cubes, cube numbers and their cube roots. SE/TE: SE/TE: SE/TE: 106, SE/TE: Opportunities to address this standard can be 110 2
4 North Carolina s, Mathematics Math 8 (Adopted 2009) 8.G.1.3 Infer an approximate square root of nonperfect squares between two consecutive integers. SE/TE: 107, G.2 Apply the Pythagorean Theorem and its converse to solve relevant problems. 8.G.2.1 Apply the concepts of squares and square roots with the Pythagorean Theorem to find the side lengths of right triangles. 8.G.2.2 Use the converse of the Pythagorean theorem to identify right triangles. SE/TE: 111, , , 153 SE/TE: G.3 Apply properties of angle relationships to solve problems. 8.G.3.1 Use properties of adjacent, vertical, supplementary and complementary angles to solve problems. 8.G.3.2 Use properties of parallel lines cut by a transversal to determine angle measures. 8.G.3.3 Use proportional reasoning to determine arc lengths and central angles. SE/TE: 302, , , 311, 346 SE/TE: , 346 SE/TE: G.4 Understand rotations of points and two-dimensional geometric shapes about the origin in the Cartesian coordinate system. 8.G.4.1 Illustrate symbolic representation for rotations of points for 90, 180, 270, both clockwise and counterclockwise about the origin. 8.G.4.2 Illustrate symbolic representation for rotations of two-dimensional geometric shapes for 90, 180, 270, both clockwise and counterclockwise about the origin. Measurement SE/TE: , 153 SE/TE: , M.1 Explain the effect of one or more changes in dimensions on perimeter, area, volume and surface area of two-dimensional and three-dimensional figures (prisms and cylinders). 8.M.1.1 Understand the effect that dimension changes have on perimeter and area of two-dimensional figures. SE/TE: 81, 185,
5 North Carolina s, Mathematics Math 8 (Adopted 2009) 8.M.1.2 Understand the effect that dimension changes have on volume and surface area of prisms and cylinders. Statistics and Probability 8.S.1 SE/TE: 397 Calculate the probabilities of dependent and independent events. 8.S.1.1 Use probabilities of simple events to calculate the probabilities of independent and dependent events. 8.S.2 Use scatterplots to summarize bivariate data. 8.S.2.1 Classify type (positive, negative, no relation) of bivarate data correlation in scatterplots. 8.S.2.2 Represent trends in bivariate data, when appropriate, with a linear model. 8.S.2.3 Represent the linear model with a linear equation in slope-intercept form. 8.S.2 4 Predict the value of one variable based on the other using the linear model to fit the data. SE/TE: , 485, SE/TE: SE/TE: , 463 SE/TE: , 463 SE/TE: S.3 Understand misuse and distortion of data, statistical measures and graphical displays. 8.S.3.1 Understand how to determine outliers using the formula. 8.S.3.2 Understand the effect of an outlier on the mean, median, inter-quartile range and range of a set of data. 8.S.3.3 Understand misuses of surveys, sampling, graphs and statistics. SE/TE: 413, 415 SE/TE: 413, SE/TE: 223, 427, , 432, 463,
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M08.A-N The Number System M08.A-N.1 Demonstrate an understanding of rational and irrational numbers. M08.A-N.1.1 Apply concepts of rational and irrational numbers. How do I apply concepts of rational and
In-class determine between which cube root. Assignments two consecutive whole
Unit 1: Expressions Part A: Powers and Roots (2-3 Weeks) Essential Questions How can algebraic expressions be used to model, analyze, and solve mathematical situations? I CAN Statements Vocabulary Standards
EXPAND expressions and equations by using the. combining like terms
Course: Grade 8 Mathematics Year: 2013 2014 Teachers: MaryAnn Valentino, Cheryl Flanagan Unit 1: Equations Approximate Time Frame: # of Weeks 8.EE.7. Solve linear equations in one variable. a. Give examples
I can calculate percent of change. I can calculate percent increases (sales tax, tip/gratuity, commission, fees, markup, etc ).
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