Pearson Mathematics Algebra 1

1 A Correlation of Pearson Mathematics Algebra 1 common core , 2015 To the Georgia Performance Standards in Mathematics (Draft 2015) High School, Algebra 1 A Correlation of Pearson Algebra 1, common core , 2015 To the Georgia Performance Standards in Mathematics (Draft 2015) Copyright 2015 Pearson Education, Inc. or its affiliate(s). All rights reserved. Introduction This document demonstrates how Pearson Algebra 1, common core Edition 2015 meets the standards of the Georgia Performance Standards in Mathematics (Draft 2015), Algebra 1. Correlation references are to the lessons of the Student and Teacher s Editions, Concept Bytes, and Learning Resources within the Teacher s Editions. Pearson Algebra 1, common core Edition 2015 balances conceptual understanding, procedural fluency, and the application of Mathematics to solve problems and formulate models.

2 Each lesson begins with Interactive Learning, the Solve It!, which immediately engages students in their daily learning according to the Standards for Mathematical Practice. The second step of the lesson, Guided Instruction, uses visual learning principles and a Thinking/Reasoning strand (seen in the Know/Need/Plan and Think/Plan/Write boxes) to introduce the Essential Understanding of the lesson by teaching THROUGH and FOR problem-solving. In the third step of the lesson, the Lesson Check, Do you know HOW? exercises measure students procedural fluency, while Do you UNDERSTAND? problems measure students conceptual understanding. In the fourth step of the lesson, Practice problems are designed to develop students fluency in the Content Standards and proficiency with the Mathematical Practices. Real-world STEM problems as well as problems designed to elicit the use of one or more of the Standards for Mathematical Practice are clearly labeled in the Practice step of the lesson.

3 The final phase of the lesson, Assess and Remediate, features a Lesson Quiz to measure students understanding of lesson concepts. By utilizing the balanced and proven-effective approach of Pearson s 5-step lesson design, you can teach with confidence. A Correlation of Pearson Algebra 1, common core , 2015 To the Georgia Performance Standards in Mathematics (Draft 2015) Copyright 2015 Pearson Education, Inc. or its affiliate(s). All rights reserved. Table of Contents Mathematics Standards for Mathematical Practice .. 1 Number and Quantity .. 5 Algebra .. 6 Functions .. 9 Statistics and Probability .. 13 A Correlation of Pearson Algebra 1, common core , 2015 To the Georgia Performance Standards in Mathematics (2015) 1 CB = Concept Byte SE = Student Edition TE Teacher s Edition Mathematics Georgia Performance Standards High School - Algebra 1 (Draft 2015) Pearson Mathematics Algebra 1 common core , 2015 Mathematics Standards for Mathematical Practice 1.

4 Make sense of problems and persevere in solving them. High school students start to examine problems by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. By high school, students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends.

5 They check their answers to problems using different methods and continually ask themselves, Does this make sense? They c a n understand the approaches of others to solving complex problems and identify correspondences between different approaches. SE/TE: 53-58, CB 59, 81-87, 88-93, 94-100, CB 101, 102-108, 152-156, 158-160, 171-177, 178-183, CB 185, 186-192, 200-206, 228-230, 262-264, 274-278, 283-286, 308-311, 353-356, 512-515, 518-520, 523-526, 529-531, 561-563, 567, 568-570, 576-579, 582-586, 603-606, 608-610, 720-722 TE: 58A-58B, 87A-87B, 93A-93B, 100A-100B, 108A-108B, 177A-177B, 183A-183B, 192A-192B, 206A-206B, 281A-281B, 314A-314B, 517A-517B, 522A-522B, 528A-528B, 533A-533B, 566A-566B, 572A-572B, 581A-581B, 588A-588B 2. Reason abstractly and quantitatively. High school students seek to make sense of quantities and their relationships in problem situations.

6 They abstract a given situation and represent it symbolically, manipulate the representing symbols, and pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Students use quantitative reasoning to create coherent representations of the problem at hand; consider the units involved; attend to the meaning of quantities, not just how to compute them; and know and flexibly use different properties of operations and objects. SE/TE: 17, 20-22, 27, CB 45, 59, 80, 88-91, 94-97, 101, 102-105, 109-112, 152-156, 158-160, 228-230, 288-290, 486-489, 492-494, 497, 498-501, 504-507, 535-538, 540-542, 555-559, 561-566, 568, 570, 572-573, 608-610, 658-660, 676, 720-722, 792-797 TE: 93A-93B, 100A-100B, 108A-108B, 114A-114B, 491A-491B, 496A-496B, 503A-503B, 509A-509B, 559A-559B, 566A-566B A Correlation of Pearson Algebra 1, common core , 2015 To the Georgia Performance Standards in Mathematics (Draft 2015) 2 CB = Concept Byte SE = Student Edition TE Teacher s Edition Mathematics Georgia Performance Standards High School - Algebra 1 (Draft 2015) Pearson Mathematics Algebra 1 common core , 2015 3.

7 Construct viable arguments and critique the reasoning of others. High school students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. High school students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and if there is a flaw in an argument explain what it is. High school students learn to determine domains to which an argument applies, listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.

8 SE/TE: 41, 72, 125, 140, 166, 179, 209, 296, 316, 419, 425, 434-435, 440-441, 461-463, 493, 506, 520, 525, 586, 640, 665, 706 4. Model with Mathematics . High school students can apply the Mathematics they know to solve problems arising in everyday life, society, and the workplace. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. High school students making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

9 SE/TE: 4-8, 10-13, 62-66, 234-237, 240-245, 246-251, 253-259, CB 260-261, 262-267, 283-286, 301-306, CB 307, 308-314, 315-320, 453-459, 460-472, 474-478, 480-482, 546-552, 553-558, CB 559-560, 561-566, 589-594, CB 595, 619-625, 626-631, 639-644, 698-704, 705-712, CB 713 TE: 66A-66B, 245A-245B, 251A-251B, 259A-259B, 267A-267B, 306A-306B, 314A-314B, 320A-320B, 459A-459B, 472A-472B, 552A-552B, 558A-558B, 566A-566B, 594A-594B, 644A-644B, 704A-704B, 712A-712B A Correlation of Pearson Algebra 1, common core , 2015 To the Georgia Performance Standards in Mathematics (Draft 2015) 3 CB = Concept Byte SE = Student Edition TE Teacher s Edition Mathematics Georgia Performance Standards High School - Algebra 1 (Draft 2015) Pearson Mathematics Algebra 1 common core , 2015 5. Use appropriate tools strategically. High school students consider the available tools when solving a mathematical problem.

10 These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer Algebra system, a statistical package, or dynamic geometry software. High school students should be sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. For example, high school students analyze graphs of functions and solutions generated using a graphing calculator. They detect possible errors by strategically using estimation and other mathematical knowledge. When making mathematical models, they know that technology can enable them to visualize the results of varying assumptions, explore consequences, and compare predictions with data. They are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems.