Oklahoma Priority Academic Student Skills (PASS) Algebra 1

Transcription

1 A Correlation of Pearson Mathematics 2012 to the Oklahoma Priority Academic Student Skills (PASS)

2 Pearson Mathematics:, Correlated to the (PASS) - Introduction This document demonstrates how Pearson Mathematics: 2012 meets the objectives of the (PASS) -. Correlation page references are to the Student and Teacher s Edition. Pearson Mathematics:, is not just "aligned" to the Common Core State Standards, it was written specifically for the Common Core State Standards. The program fully addresses the Common Core Content Standards and infuses the Standards for Mathematical Practice throughout every lesson., incorporates a blend of print and digital components to tap into the power of mathematics and mathematical reasoning. The wealth and flexibility of resources will enable you to easily adapt to the changing needs of your classroom. Program Features Offers unmatched development of problem solving throughout the entire program with the Solve It, Think-Write Boxes and Know-Need-Plan Boxes, Think About a Plan Worksheets, Performance Tasks, and other features unique to the program. Teachers can enrich instruction with interactive lesson content and video that makes real-world connections, and models thinking and reasoning using interactive tools at PowerAlgebra.com. Students can complete lessons independently and receive immediate feedback using the online content to support in-class instruction. Teachers are provided targeted support to ensure successful transition to a Common Core State Standards-based curriculum with resources such as a Common Core Overview and Implementation Guide. All teaching resources are available in one easy to access location in print and online. Based on critical foundational research and proven classroom results, Pearson Mathematics: students demonstrated greater improvement on the multiple-choice and open-response tests as compared to students using other programs. The data also confirms that students improved their assessment scores by 38 percentile points after learning with the program for just one year. This document demonstrates the high degree of success students will achieve by using Pearson Mathematics:,. Copyright 2011 Pearson Education, Inc. or its affiliate(s). All rights reserved

3 Pearson Mathematics: Correlated to the (PASS) - Pearson Mathematics: Process Standard 1: Problem Solving 1. Apply a wide variety of problem-solving strategies (identify a pattern, use equivalent representations) to solve problems from within and outside mathematics. 2. Identify the problem from a described situation, determine the necessary data and apply appropriate problem-solving strategies. SE/TE: 12, 16, 38, 61, 67, 124, 221, , 274, 352, 371, , 407, 424, 432, 447, 448, 529, 552, 602, 619, 639, 705, 752 SE/TE: 12, 30, 34, 53, 61, 67, 86, 88, 151, 221, 282, 352, , 407, 439, 448, 473, 552, , 602, 619, 639, 705, 752 Process Standard 2: Communication 1. Use mathematical language and symbols to read and write mathematics and to converse with others. 2. Demonstrate mathematical ideas orally and in writing. SE/TE: 4, 10, 16-19, 23-25, 60, 67, 104, 130, 132, 207, , 619, 705, 738 SE/TE: 12, 60, 61, 67, 86, 151, 207, 234, 376, 424, 429, 433, 439, 495, 556, 639, Analyze mathematical definitions and discover generalizations through investigations. SE/TE: 16, 60, 67, 80, 88, 185, 214, 307, 371, 406, 433, 619, 752 Process Standard 3: Reasoning 1. Use various types of logical reasoning in mathematical contexts and real-world situations. SE/TE: 2-3, 25, 63, 68, 164, 167, 207, 253, 402, 463, 486, 529, 552, 555, 570, 591, 699, 705, Prepare and evaluate suppositions and arguments. SE/TE:234, 529, Verify conclusions, identify counterexamples, test conjectures, and justify solutions to mathematical problems. SE/TE: 25, 234, 433, 447, 486, 496, 502, 529, 552, , 705, Justify mathematical statements through proofs. SE/TE: , 602, 664, 752 Process Standard 4: Connections 1. Link mathematical ideas to the real world (e.g., statistics helps qualify the confidence we can have when drawing conclusions based on a sample). 2. Apply mathematical problem-solving skills to other disciplines. SE/TE: 10, 53-54, 56-57, 79, 86, 116, 130, 144, 164, 207, 262, 268, 462, 529, 591, 619, 699 SE/TE: 14, 21-22, 35, 43, 84, 86, 107, 113, 126, 142, 169, 175, 212, 335, 376, 404, 427, 430, 438, 443, 444, 451, 470, 471, 496, 502, 532, 551, 565, 571, 579, 581, 600, 617, 618, 629, 630, 642, 668, 699, 704, 711, 736, 774 1

4 Pearson Mathematics:, Correlated to the (PASS) - 3. Use mathematics to solve problems encountered in daily life. 4. Relate one area of mathematics to another and to the integrated whole (e.g., connect equivalent representations to corresponding problem situations or mathematical concepts). Pearson Mathematics: SE/TE: 56-57, 59, 86, 130, 137, 169, 171, 207, , 262, 398, 529, 555, 570, 584, 619, 639, 648, 686, 699 SE/TE: 62-63, 101, 107, 111, 143, 176, 187, 335, 444, 490, 533, 637, 645, 664 Process Standard 5: Representation 1. Use algebraic, graphic, and numeric representations to model and interpret mathematical and real world situations. 2. Use a variety of mathematical representations as tools for organizing, recording, and communicating mathematical ideas (e.g., mathematical models, tables, graphs, spreadsheets). 3. Develop a variety of mathematical representations that can be used flexibly and appropriately. SE/TE: 101, , 171, 185, 214, 333, 389, 402, 494, 497, 572, 584, 591, 619, 639, 686, 699 SE/TE: 12, 30, 53-55, 59-60, 61-63, 80, 89, 101, 107, , , 185, , , , , , 370, 371, 447, 455, 494, 497, 499, 511, , , , , 648, 701, 705, 708, 713, SE/TE: 12, 30, 46, 55, 60, 61-63, 80, 101, , 171, 185, , , 370, 396, 455, 497, , , , , 648, 705, MATHEMATICS CONTENT STANDARDS Algebra I Standard 1: Number Sense and Algebraic Operations - The student will use expressions and equations to model number relationships. 1. Equations and Formulas a. Translate word phrases and sentences into expressions and equations and vice versa. b. Solve literal equations involving several variables for one variable in terms of the others. SE/TE: 4-9, 10-15, 16-22, 23-28, 30-36, 38-44, , 81-87, 88-93, , , , SE/TE: , c. Use the formulas from measurable attributes of geometric models (perimeter, circumference, area and volume), science, and statistics to solve problems within an algebraic context. SE/TE: , , , , 496, 533, , , , , , d. Solve two-step and three-step problems using concepts such as rules of exponents, rate, distance, ratio and proportion, and percent. SE/TE: , , , , , , , , , ,

5 Pearson Mathematics:, Correlated to the (PASS) - 2. Expressions a. Simplify and evaluate linear, absolute value, rational and radical expressions. Pearson Mathematics: SE/TE: 10-15, 16-22, 38-44, 46-52, , , , , , b. Simplify polynomials by adding, subtracting or multiplying. SE/TE: , , , c. Factor polynomial expressions. SE/TE: 511, , , , Standard 2: Relations and Functions - The student will use relations and functions to model number relationships. 1. Relations and Functions a. Distinguish between linear and nonlinear data. SE/TE: , b. Distinguish between relations and functions. SE/TE: c. Identify dependent and independent variables, domain and range. d. Evaluate a function using tables, equations or graphs. SE/TE: , , SE/TE: 59, 61-66, , , , , , , , Linear Equations and Graphs a. Solve linear equations by graphing or using properties of equality. b. Recognize the parent graph of the functions y = k, y = x, y = x, and predict the effects of transformations on the parent graph. SE/TE: 80, , 88-93, , 101, , , , , SE/TE: 307, 546 c. Slope I. Calculate the slope of a line using a graph, an equation, two points or a set of data points. II. Use the slope to differentiate between lines that are parallel, perpendicular, horizontal, or vertical. III. Interpret the slope and intercepts within the context of everyday life (e.g., telephone charges based on base rate [yintercept] plus rate per minute [slope]). SE/TE: , , SE/TE: , SE/TE: , , , , ,

6 Pearson Mathematics:, Correlated to the (PASS) - d. Develop the equation of a line and graph linear relationships given the following: slope and y-intercept, slope and one point on the line, two points on the line, x-intercept and y- intercept, a set of data points. e. Match equations to a graph, table, or situation and vice versa. Pearson Mathematics: SE/TE: , , , , , , For related content see: SE/TE: 55, 59, 62-63, , , , , , 705, 709, Linear Inequalities and Graphs a. Solve linear inequalities by graphing or using properties of inequalities. b. Match inequalities (with 1 or 2 variables) to a graph, table, or situation and vice versa. 4. Solve a system of linear equations by graphing, substitution or elimination. SE/TE: , , , 184, , , For related content see: SE/TE: , , , 184, , , , , , 406 SE/TE: , 370, 371, , , Nonlinear Functions a. Match exponential and quadratic functions to a table, graph or situation and vice versa. For related content see: SE/TE: , , , , b. Solve quadratic equations by graphing, factoring, or SE/TE: , , , using the quadratic formula. Standard 3: Data Analysis, Probability and Statistics - The student will use data analysis, probability and statistics to formulate and justify predictions from a set of data. 1. Data Analysis a. Translate from one representation of data to another and understand that the data can be represented using a variety of tables, graphs, or symbols and that different modes of representation often convey different messages. b. Make valid inferences, predictions, and/or arguments based on data from graphs, tables, and charts. c. Solve two-step and three-step problems using concepts such as probability and measures of central tendency. 2. Collect data involving two variables and display on a scatter plot; interpret results using a linear model/equation and identify whether the model/equation is a line best fit for the data. SE/TE: , , , , SE/TE: , , , , , SE/TE: , , , , SE/TE: