Prentice Hall Mathematics: Pre-Algebra 2004 Correlated to: The Pennsylvania Math Assessment Anchors and Eligible Content (Grade 11)
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1 AND M11.A Numbers and Operations M11.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems. SE/TE: 2, 11, 18-22, 25, 27-29, 32-34, 44, 48-49, 50-55, 58-60, 64, 66-70, 71-75, 98, 126, , , , , 200, 201, , , , 230, , , , 252, 277, 279, 280, 282, 286, 291, 303, 309, , 319, , 332, , 358, 360, 365, 409, 486, , , , , , 602, , 612, , , , 742, 744, , 754, , , , 775 M11.A.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, exponents and scientific notation). Reference: A, B, A SE/TE: 20, 22, 27-29, 32-33, , , 200, 201, , , , , , 280, 282, , 319, , 332, , , , M11.A Find the square root of an integer to the nearest tenth using either a calculator or estimation. M11.A Express numbers and/or simplify expressions using scientific notation (including numbers less than 1). M11.A Simplify square roots. (e.g., Ö24 = 2Ö6) SE/TE: , , , , , 624, 754 SE/TE: , , 236, 747 SE/TE: , , , 593, , 602, , 612, , 754 M11.A.1.2 Apply number theory concepts to show relationships between real numbers in problem solving settings. Reference: E SE/TE: 98, , 185, , , 201, , , , 230, , 241, , 279, 282, 291, 358, 360, 365, , , , 750 1
2 AND M11.A Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials. SE/TE: , 195, 224, 226, , , 252, 279, 282, , , , 756 M11.A.1.3 Estimate the value of an irrational number. Reference: C SE/TE: , 585, 587, 593, , , 621, , 754 M11.A Locate/identify irrational numbers at the approximate location on a number line. N / A M11.A Compare and/or order any real numbers (rational and irrational may be mixed). SE/TE: 2, 20, 27, 29, 34, 58, 60, 64, 126, , 217, 219, , , 238, , 247, 279, 282, 291, 319, 582, 742, 757, 762, 775 M11.A.2 Understand the meanings of operations, use operations and understand how they relate to each other. SE/TE: 7-13, 14-17, 22, 26-29, 32-34, 39, 43, 45-49, 57-60, 64, 70, 72-75, 79, 83, 86, 88, 90, 137, , , 170, 172, 181, , 190, 195, , , , , , , , 257, 262, , , , , , , , , , , , , , , , , 351, , , , , 376, , , , , 404, 410, 416, 428, 433, 446, , 469, 484, , 495, , , , , , , 620, , , , , , , , , , , , , , , M11.A.2.1 Apply ratio and/or proportion in problem-solving situations. Reference: A, P SE/TE: , , , , 309, , , 332, , , 365, , , , , 749 2
3 AND M11.A Solve problems using operations with rational numbers including rates and percents (single and multi-step and multiple procedure operations) (e.g., distance, work and mixture problems, etc.). SE/TE: , 170, 172, , , , , , , , , , , , 351, , , , , 376, , , , , , , 749 M11.A Solve problems using direct and inverse proportions. M11.A Identify and/or use proportional relationships in problem solving settings. M11.A.2.2 Use exponents, roots and/or absolute value to solve problems. Reference: A SE/TE: , , 410, 746 SE/TE: , , 309, , 340, , , 606, 620, 622, 624, 749 SE/TE: 26-27, , 190, 195, , , , , , , , , , 622, , , , 703, , 754, 756 M11.A Simplify/evaluate expressions involving positive and negative exponents, roots and/or absolute value (may contain all types of real numbers - exponents should not exceed power of 10). M11.A Simplify/evaluate expressions involving multiplying with exponents (e.g. x6 * x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (positive exponents only). SE/TE: , 190, 195, , , , , , , 291, 323, 328, , 589, 607, 621, 624, , , , , , , , , , 756 SE/TE: , 190, 195, , , , ,
4 AND M11.A.3 Compute accurately and fluently and make reasonable estimates. SE/TE: 2, 8-13, 18-23, 24-29, 30-34, 39, 40-43, 44-49, 54, 56, 57-60, 64, 66-70, 87-91, 93-95, 96-99, 117, , 124, , , , , 154, 157, , , , 172, , , , , , , 227, 230, , , , , 272, , , , 296, , 332, , 338, , , , 396, , , , , , , 520, , , , , , , , , , 578, , , , , 613, 628, , , , , , , 683, , , , , , , M11.A.3.1 Apply the order of operations in computation and in problem-solving situations. Reference: A SE/TE: 8-13, 14-17, 22, 26-28, 34, 39, 43, 46-47, 49, 57-58, 60, 70, 75, 79, 83, 90, 137, , , 170, 172, 181, , 195, , , 214, 221, , 291, 346, 351, 744, M11.A Simplify/evaluate expressions using the order of operations to solve problems (any rational numbers may be used). SE/TE: 8-13, 14-17, 22, 26-28, 34, 39, 43, 46-47, 49, 57-58, 60, 70, 75, 79, 83, 90, 137, , , 170, 172, 181, , 195, , , 214, 221, , , 291, 346, 351, 744, M11.A.3.2 Use estimation strategies in problem-solving situations. Reference: B, D SE/TE: 33, , , 141, , 154, , 167, , 172, 242, 246, , 262, 272, 296, 332, 338, 746 4
5 AND M11.A Use estimation to solve problems SE/TE: , , 141, 145, 154, , 167, , 172, 242, 246, , 262, 272, 296, 332, 338, 639, 677, 746 M11.B Measurement M11.B.1 Apply appropriate techniques, tools and formulas to determine measurements. SE/TE: 10, 12, 71, 130, , 151, , , 167, , , , , , , , , , 309, 313, 340, , , , , , , , 501, , 512, , , 520, , , , 543, , , , , , , , 580, 583, , , , , , , , , , 633, 639, 647, 668, 677, 727, 746, 749, M11.B.1.1 Use and/or compare measurements of angles. Reference: A, B SE/TE: , , , 479, , , , 501, , , , 526, 537, 560, , , 633, 752 M11.B Measure and/or compare angles in degrees (up to 360 ) (protractor must be provided or drawn). M11.B.1.2 Use and/or develop procedures to determine or describe measures of perimeter, circumference, area, surface area and/or volume. (May require conversions within the same system.) Reference: A, D SE/TE: 464 SE/TE: 10, 12, 71, , , 512, , , , 543, , , , , , , , , , , , , , , , 620, , 746,
6 AND M11.B Calculate the surface area of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet. M11.B Calculate the volume of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet. SE/TE: , , , 565, 570, , 647, 753 SE/TE: , , , 570, , 583, 668, 753 M11.B Estimate area, perimeter or circumference of an irregular figure. M11.B Find the measurement of a missing length given the perimeter, circumference, area or volume. M11.B.1.3 Describe how a change in one dimension of a figure (2 or 3 dimensional) affects other measurements of that figure. Reference: E SE/TE: 130, 145, 272, , 543, 549, , 639 SE/TE: , , , 536, , 564, 569, 574, 606 SE/TE: 147, , , 536, , , 560, , 569, , M11.B Describe how a change in the linear dimension of a figure affects its perimeter, circumference, area or volume. - How does changing the length of the radius of a circle affect the circumference of the circle? - How does changing the length of the edge of a cube affect the volume of the cube? - How does changing the length of the base of a triangle affect the area of the triangle? SE/TE: 147, , , 536, , , 560, , 569, , , 727 6
7 AND M11.C Geometry M11.C.1 Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships. SE/TE: , 309, 340, , , 456, , , , , , , , , , , , , 520, , , , , , , , , , , , , , 613, , , 677, 749, M11.C.1.1 Identify and/or use parts of circles and segments associated with circles. Reference: F SE/TE: , 495, 501, 512, , , 520, , 543, 561, , M11.C Identify and/or use the properties of a radius, diameter and/or tangent of a circle (given numbers should be whole.) SE/TE: , 495, 501, 512, , , 520, , 543, 561, , M11.C Identify and/or use the properties of arcs, semicircles, inscribed angles and/or central angles. M11.C.1.2 Recognize and/or apply properties of angles, triangles and quadrilaterals. Reference: D, C SE/TE: , , 501, , , , 752 SE/TE: , 340, , , , , , 490, , , , , , , , , , , , , 752, 754 M11.C Identify and/or use properties of triangles (e.g., medians, altitudes, angle bisectors, side/angle relationships, Triangle Inequality Theorem). SE/TE: , 304, 309, 340, , , , , 490, , , , , , , 537, , , , , , 752, 754 7
8 AND M11.C Identify and/or use properties of quadrilaterals (e.g., parallel sides, diagonals, bisectors, congruent sides/angles and supplementary angles). M11.C Identify and/or use properties of isosceles and equilateral triangles M11.C.1.3 Use properties of congruence, correspondence and similarity in problemsolving settings involving two- and threedimensional figures. Reference: B SE/TE: 471, , , , , 508, , , , , , 571, , , 593, , SE/TE: 470, , 479, 501, 510, 514, 516, 596, 601, 752 SE/TE: , 309, 340, , , 490, 514, , 601, 606, 749, 752 M11.C Identify and/or use properties of congruent and similar polygons or solids. M11.C.1.4 Solve problems involving right triangles using the Pythagorean Theorem. Reference: B SE/TE: , 309, 340, , , 749, , 490, 514, , 601, 606, 749, 752 SE/TE: , , 596, , 613, 622, , 677, 754 M11.C Find the measure of a side of a right triangle using the Pythagorean Theorem (Pythagorean Theorem included on the reference sheet). SE/TE: , , 596, 602, , , 677, 754 M11.C.2 Locate points or describe relationships using the coordinate plane. SE/TE: 50-55, 59-60, 62-63, 70, , , , , 429, , , , , , , , , 524, 526, 550, 578, , 601, 622, 624, , , 707, 730, 732, 744, , 756 8
9 AND M11.C.2.1 Solve problems using analytic geometry. Reference: G SE/TE: , , , , , , , , , , , , , 526, 550, 578, 588, , 601, 606, 622, 624, , , 730, , 754, 756 M11.C Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane (formula provided on the reference sheet). SE/TE: , 601, 622, 624, 639, 653, 754 M11.C Relate slope to perpendicularity and/or parallelism (limit to linear algebraic expressions; slope formula provided on the reference sheet). SE/TE: 415, 417 M11.D Algebraic Concepts M11.D.1 Demonstrate an understanding of patterns, relations and functions. SE/TE: 33, 35-39, 40-43, 48-49, 56, 59-60, 90, , 146, 155, , 204, 215, 220, 252, , , , , , 434, 440, , , , 582, , , , , 653, , , , , 721, , , 744, 751, M11.D.1.1 Analyze and/or use patterns or relations. Reference: Q, A, O SE/TE: 33, 35-39, 40-43, 49, 56, 59-60, 90, 146, 155, 199, 204, 215, 220, 252, , 410, , 428, 450, , 582, , 702, 721, , , 744, 751, 756 M11.D Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. SE/TE: , , , , 440, , , , , , 653, , 751, 755 9
10 AND M11.D Determine if a relation is a function given a set of points or a graph. M11.D Identify the domain, range or inverse of a relation (may be presented as ordered pairs or a table). SE/TE: , 409, 422, 449, 452, 490, 751 SE/TE: M11.D.2 Represent and/or analyze mathematical situations using numbers, symbols, words, tables and/or graphs. SE/TE: 5-7, 8-13, 14-17, 20-22, 26-29, 32-34, 39, 40-43, 45-49, 57-60, 62-63, 64, 67-70, 73-75, 76-79, 80-83, 84-85, 86-91, 92-95, 96-99, , , , , , 131, 141, 146, , , 161, , 168, , , 181, , 190, 195, , , , , , , , , , 295, , , , , 324, 332, , , 346, , , , , , , , 386, 388, , , , , , , , 620, 622, 624, , , , , , , 750, 756 M11.D.2.1 Write, solve and/or graph linear equations and inequalities using various methods. Reference: F, D, H, J, N, L, K SE/TE: 86-91, 92-95, 99, , , , , , , , 168, , , , 277, , 346, , , , , , , , 386, , 396, 404, , , , 422, 433, 440, , , , , 748, 750 M11.D Solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities). SE/TE:
11 AND M11.D Identify or graph functions, linear equations or linear inequalities on a coordinate plane. M11.D Write, solve and/or apply a linear equation (including problem situations). SE/TE: , , 417, 422, , , 463, 506, SE/TE: 87-89, 91, 92, 94-95, 116, 118, 120, , , , 168, , , , , 277, , 346, , , , , , 381, 386, , 404, 433, 446, 474, , 748, 750 M11.D Write and/or solve systems of equations using graphing, substitution and/or elimination (limit systems to 2 equations). M11.D Solve quadratic equations using factoring (integers only not including completing the square or the Quadratic Formula). SE/TE: , 446, 448, , 751 N / A M11.D.2.2 Simplify expressions involving polynomials. Reference: S SE/TE: , , , , , , 756 M11.D Add, subtract and/or multiply polynomial expressions (express answers in simplest form nothing larger than a binomial multiplied by a trinomial). SE/TE: , , , 728, , 756 M11.D Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0). SE/TE: 723 M11.D Simplify algebraic fractions. SE/TE: , , 220, , 272,
12 AND M11.D.3 Analyze change in various contexts. SE/TE: , , 172, , , 303, 339, 342, , , , , , , , , , , , , , , , , 679, 682, , , 751, 755 M11.D.3.1 Describe and/or determine change. Reference: J, B SE/TE: , , , 410, , 417, , , , 434, 440, 442, , , , 751 M11.D Identify, describe and/or use constant or varying rates of change. M11.D Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?). M11.D.3.2 Compute and/or use the slope of a line. Reference: J, L SE/TE: , , , , 303, 339, 342, , , , , 410, , , , , 440, , , 679, 682, 751, 755 SE/TE: , 172, , , , , , , , , , 751 SE/TE: , , 428, , 448, 450, , 751 M11.D Apply the formula for the slope of a line to solve problems (formula given on reference sheet). M11.D Given the graph of the line, 2 points on the line, or the slope and a point on a line, write or identify the linear equation in point-slope, standard and/or slope-intercept form. SE/TE: 414, SE/TE: 414, , 428, ,
13 AND M11.D Compute the slope and/or y- intercept represented by a linear equation or graph. SE/TE: , , , 450, 452, 751 M11.D.4 Describe or use models to represent quantitative relationships. SE/TE: 53-54, , , , , , , 434, , , , 454, 463, , , , 516, 526, , , , , , 653, 668, , , , , , , 707, 718, 722, 730, 732, , M11.D.4.1 Interpret and/or use linear, quadratic and/or exponential functions and their equations, graphs or tables. Reference: K, Q SE/TE: , , , 428, , 440, 450, , , , 707, 730, 732, 751, 756 M11.D Match the graph of a given function to its table or equation. SE/TE: , 428, , 450, 452, 697, 701, 751 M11.E Data Analysis and Probability M11.E.1 Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data. SE/TE: , , , 341, , , , , , , , , , , , , , , , , , , , , 653, , , , , , , , 703, 751,
14 AND M11.E.1.1 Appropriately display and/or use data in problem-solving settings. Reference: A, E SE/TE: , , , 341, , , , , , , , , , , , , , , , , , , , 653, , , , , , , , 703, 755 M11.E Create and/or use appropriate SE/TE: , , , 434, graphical representations of data, including boxand-whisker 440, , , , , plots, stem-and-leaf plots or scatter plots , , 653, , , , , 751, 755 M11.E Analyze data and/or answer questions based on displayed data (box-andwhisker plots, stem-and-leaf plots or scatter plots. SE/TE: , , , 434, 440, , , , , , , 653, , , , , 751, 755 M11.E.2 Select and/or use appropriate statistical methods to analyze data. Reference: A, A SE/TE: , , 146, 167, 170, 172, 185, 247, 303, , , , 653, , , , , , , 697, 746, 755 M11.E.2.1 Use measures of central tendency to describe a set of data. SE/TE: , 146, 167, 170, 172, 185, 247, 303, , 639, , 653, , , , 746, 755 M11.E Calculate or select the SE/TE: , 146, 170, 172, 678 appropriate measure of central tendency (mean, mode or median) of a set of data given or represented on a table, line plot or stem-andleaf plot. M11.E Calculate and/or interpret the range, quartiles and interquartile range of data. SE/TE: , , 680,
15 AND M11.E Describe how outliers affect measures of central tendency. SE/TE: , 170, 172, 746 M11.E.3 Understand and/or apply basic concepts of probability or outcomes. M11.E.3.1 Apply probability and/or odds to practical situations. Reference: A, E SE/TE: 240, , 314, 337, 340, , 351, 440, , , , , , , , 749, 755 SE/TE: 240, , 314, 337, 340, 351, 440, , , , , , , , 749, 755 M11.E Find probabilities for independent, dependent or compound events and represent as a fraction, decimal or percent). M11.E Find, convert and/or compare the probability and/or odds of a simple event. M11.E.3.2 Apply counting techniques in problem-solving settings. Reference: A SE/TE: , 663, , 755 SE/TE: , 314, 337, 340, , 749 SE/TE: , 658, 680, 682, 755 M11.E Determine the number of permutations and/or combinations or apply the fundamental counting principle. (Formula provided on the reference sheet). SE/TE: , 668, 672, , 755 M11.E.4 Develop and/or evaluate SE/TE: 36, 39, , 134, , inferences and predictions or draw 146, 167, 170, 172, 194, 240, 247, 334- conclusions based on data or data displays. 337, 341, 421, , , 434, 440, , , 501, 515, , , , , , , , , , , , , 746, 751,
16 AND M11.E.4.1 Make predictions using data displays and probability. Reference: E, D SE/TE: 36, 39, , 341, , , , , , M11.E Estimate or calculate to make predictions based on a circle, line, bar graph or given situation. SE/TE: , , , , 755 M11.E outcomes. Use probability to predict SE/TE: , 673, , , 755 M11.E.4.2 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions. Reference: C, D SE/TE: , , 440, , 751 M11.E Draw, find and/or write an equation for a line of best fit for a scatter plot. SE/TE: , 440, M11.E Make predictions using the equations or graphs of best-fit lines of scatter plots. SE/TE: , 440,
SE/TE: SE/TE: 80, N / A SE/TE: 3, 282 SE/TE: 3 4
M11.A Numbers and Operations M11.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems. M11.A.1.1 Represent and/or use numbers in equivalent
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