Oklahoma Priority Academic Student Skills (PASS) Algebra 2

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) - 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. Pearson Mathematics: SE/TE: 4-5, 9, 26, 49, 105, 121, , 174, 280, 296, 434, 498, 564, 578, 587, 731, 782, Identify the problem from a described situation, determine the necessary data and apply appropriate problem-solving strategies. SE/TE: 18, 26, 49, 105, 121, 149, , 174, 280, 296, 398, 434, 498, 515, 578, 587, 731, 782, 801 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: 26, 60-63, 92, 94, 99, 102, 174, 280, 398, 498, 515, 578, 587, 731, 801 SE/TE:16, 31, 107, 112, 133, 147, 294, 296, 578, 587, 731, Analyze mathematical definitions and discover generalizations through investigations. SE/TE: 11, 49, 121, 133, 149, 163, 174, 182, 296, 318, 325, 346, 413, 421, 434, , 477, 486, 506, , , 552, 578, 594, 602, 621, 662, , 750, 771, , 816 Process Standard 3: Reasoning 1. Use various types of logical reasoning in mathematical contexts and real-world situations. SE/TE: 3, 59, 66, 105, 107, 114, 133, 134, 142, 149, 170, 174, 182, 312, 342, 398, 433, 434, 453, 498, 515, 582, 587, Prepare and evaluate suppositions and arguments. 3. Verify conclusions, identify counterexamples, test conjectures, and justify solutions to mathematical problems. 4. Justify mathematical statements through proofs. SE/TE: 112, 133, 142, 174, 182, 515, 731 SE/TE: 9, 23, 107, 112, 142, 182, 280, 398, 498, 578, 587, , 801 SE/TE: 32, 142, 174, 280, 398, 578, 801 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). SE/TE: 3, 18, 28, 107, 116, 133, 134, 149, 170, 174, 375, 383, 398, 433, 453, 582 1

4 Pearson Mathematics: Correlated to the (PASS) - 2. Apply mathematical problem-solving skills to other disciplines. Pearson Mathematics: SE/TE: 16, 17, 39, 66-67, 98, 139, 140, 147, 161, 172, 180, 294, 344, 375, 383, 467, 476, 571, 582, 628, Use mathematics to solve problems encountered in daily life. SE/TE: 11, 18, 33, 60, 107, 114, 142, 149, 170, 174, 375, 398, 433, 515, 578, , Relate one area of mathematics to another and to the integrated whole (e.g., connect equivalent representations to corresponding problem situations or mathematical concepts). SE/TE: 17, 26, 31, 154, , 173, 294, 383, 570, 582 Process Standard 5: Representation 1. Use algebraic, graphic, and numeric representations to model and interpret mathematical and real world situations. SE/TE: 18, 28, 60, 116, 134, 142, 149, , 170, 296, 300, 325, 342, 375, 453, Use a variety of mathematical representations as tools for organizing, recording, and communicating mathematical ideas (e.g., mathematical models, tables, graphs, spreadsheets). SE/TE: 5-6, 18, 35-37, 60, , , , , 300, 325, 454, Develop a variety of mathematical representations that can be used flexibly and appropriately. SE/TE: 5-6, 60, , , 296 MATHEMATICS CONTENT STANDARDS Algebra II Standard 1: Number Systems and Algebraic Operations - The student will perform operations with rational, radical, and polynomial expressions, as well as expressions involving complex numbers. 1. Rational Exponents a. Convert expressions from radical notations to rational exponents and vice versa. SE/TE: , b. Add, subtract, multiply, divide, and simplify radical expressions and expressions containing rational exponents. SE/TE: , , , ,

5 Pearson Mathematics: Correlated to the (PASS) - 2. Polynomial and Rational Expressions Pearson Mathematics: a. Divide polynomial expressions by lower degree polynomials. SE/TE: b. Add, subtract, multiply, divide, and simplify rational expressions, including complex fractions. SE/TE: , Complex Numbers a. Recognize that to solve certain problems and equations, number systems need to be extended from real numbers to complex numbers. SE/TE: b. Add, subtract, multiply, divide, and simplify expressions involving complex numbers. SE/TE: , Standard 2: Relations and Functions - The student will use the relationships among the solution of an equation, zero of a function, x-intercepts of a graph, and factors of a polynomial expression to solve problems involving relations and functions. 1. Functions and Function Notation a. Recognize the parent graphs of polynomial, exponential, radical, quadratic, and logarithmic functions and predict the effects of transformations on the parent graphs, using various methods and tools which may include graphing calculators. SE/TE: , , , , , , b. Add, subtract, multiply, and divide functions using function notation. SE/TE: c. Combine functions by composition. SE/TE: 103, , d. Use algebraic, interval, and set notations to specify the domain and range of functions of various types. SE/TE: 60-67, , , , ,

6 Pearson Mathematics: Correlated to the (PASS) - e. Find and graph the inverse of a function, if it exists. Pearson Mathematics: SE/TE: 90, , 413, , , Systems of Equations a. Model a situation that can be described by a system of equations or inequalities and use the model to answer questions about the situation. SE/TE: , , , , , b. Solve systems of linear equations and inequalities using various methods and tools which may include substitution, elimination, matrices, graphing, and graphing calculators. SE/TE: , , , , , , 549, , , c. Use either one quadratic equation and one linear equation or two quadratic equations to solve problems. SE/TE: , 194, Quadratic Equations and Functions a. Solve quadratic equations by graphing, factoring, completing the square and quadratic formula. SE/TE: , , , b. Graph a quadratic function and identify the x- and y-intercepts and maximum or minimum value, using various methods and tools which may include a graphing calculator. SE/TE: , , , 661 c. Model a situation that can be described by a quadratic function and use the model to answer questions about the situation. SE/TE: 74-80, 194, , , Identify, graph, and write the equations of the conic sections (circle, ellipse, parabola, and hyperbola). SE/TE: 197, 209, , , , , Exponential and Logarithmic Functions a. Graph exponential and logarithmic functions. SE/TE: , , , 470 4

7 Pearson Mathematics: Correlated to the (PASS) - b. Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another. Pearson Mathematics: SE/TE: , c. Model a situation that can be described by an exponential or logarithmic function and use the model to answer questions about the situation. SE/TE: , , 453, 465, , 480 a. Solve polynomial equations using various methods and tools which may include factoring and synthetic division. SE/TE: , , b. Sketch the graph of a polynomial function. SE/TE: , , 299, c. Given the graph of a polynomial function, identify the x- and y- intercepts, relative maximums and relative minimums, using various methods and tools which may include a graphing calculator. SE/TE: 76, 195, , , 830 d. Model a situation that can be described by a polynomial function and use the model to answer questions about the situation. SE/TE: 300, , Rational Equations and Functions a. Solve rational equations. SE/TE: b. Sketch the graph of a rational function. SE/TE: , , 545 c. Given the graph of a rational function, identify the x- and y-intercepts, vertical asymptotes, using various methods and tools which may include a graphing calculator. SE/TE: , , 545 5

8 Pearson Mathematics: Correlated to the (PASS) - d. Model a situation that can be described by a rational function and use the model to answer questions about the situation. Pearson Mathematics: SE/TE: , , 544 Standard 3: Data Analysis and Statistics - The student will use data analysis and statistics to formulate and justify predictions from a set of data. 1. Analysis of Collected Data Involving Two Variables a. Interpret data on a scatter plot using a linear, exponential, or quadratic model/equation. SE/TE: 92-98, 121 b. Identify whether the model/equation is a curve of best fit for the data, using various methods and tools which may include a graphing calculator. SE/TE: 92-98, 121, , Measures of Central Tendency and Variability a. Analyze and synthesize data from a sample using appropriate measures of central tendency (mean, median, mode, weighted average). SE/TE: b. Analyze and synthesize data from a sample using appropriate measures of variability (range, variance, standard deviation). SE/TE: 713, , c. Use the characteristics of the Gaussian normal distribution (bellshaped curve) to solve problems. SE/TE: d. Identify how given outliers affect representations of data. SE/TE: Identify and use arithmetic and geometric sequences and series to solve problems. SE/TE: , , 578, , ,