A New Common Core High School Series by Ron Larson and Laurie Boswell Big Ideas Math is pleased to introduce a new high school program comprised of Algebra 1, Geometry, and Algebra 2, developed for the Common Core State Standards and using the Standards for Mathematical Practice as its foundation. Big Ideas Math has been systematically developed using learning and instructional theory to ensure the quality of instruction. Students gain a deeper understanding of math concepts by narrowing their focus to fewer topics at each grade level. Students master content through inductive reasoning opportunities, engaging activities that provide deeper understanding, concise stepped-out examples, rich thought-provoking exercises, and a continual development of what has been previously taught. The unique teaching editions provide teachers with complete instructional support from master teacher Laurie Boswell. About the Authors Dr. Larson and Dr. Boswell began writing together in 1992. Since that time they have authored over two dozen textbooks. In their collaboration, Ron is primarily responsible for the pupil edition while Laurie is primarily responsible for the teaching edition of each text. Ron Larson, Ph.D. is well known as the lead author of a comprehensive program for mathematics that spans middle school, high school, and college courses. He is a professor of mathematics at Penn State Erie, the Behrend College, where he has taught since receiving his Ph.D. in mathematics from the University of Colorado. Dr. Larson s numerous professional activities keep him in constant touch with the needs of students, teachers, and supervisors. Laurie Boswell, Ed.D. is the Head of School and a mathematics teacher at the Riverside School in Lyndondale, Vermont. She received her Ed.D. from the University of Vermont. Dr. Boswell is a recipient of the Presidential Award for Excellence inmathematics Teaching and has taught math to students at all levels from elementary through college. Dr. Boswell was a Tandy Technology Scholar and served on the NCTM Board of Directors from 2002 to 2005. She currently serves on the board of NSCM and is a popular national speaker. 1
Big Ideas Math Algebra 1 Chapter 1 Solving Linear Equations Chapter 2 Solving Linear Inequalities Chapter 3 Graphing Linear Functions Chapter 4 Writing Linear Functions Chapter 5 Solving Systems of Linear Equations Chapter 6 Exponential Functions and Sequences Chapter 7 Polynomial Equations and Factoring Chapter 8 Graphing Quadratic Functions Chapter 9 Solving Quadratic Equations Chapter 10 Radical Functions and Equations Chapter 11 Data Analysis and Displays Big Ideas Math Geometry Chapter 1 Basics of Geometry Chapter 2 Reasoning and Proofs Chapter 3 Parallel and Perpendicular Lines Chapter 4 Transformations Chapter 5 Congruent Triangles Chapter 6 Relationships within Triangles Chapter 7 Quadrilaterals and Other Polygons Chapter 8 Similarity Chapter 9 Right Triangles and Trigonometry Chapter 10 Circles Chapter 11 Circumference, Area, and Volume Big Ideas Math Algebra 2 Chapter 1 Linear Functions Chapter 2 Quadratic Functions Chapter 3 Quadratic Equations and Complex Numbers Chapter 4 Polynomial Functions Chapter 5 Rational Exponents and Radical Functions Chapter 6 Exponential and Logarithmic Functions Chapter 7 Rational Functions Chapter 8 Sequences and Series Chapter 9 Trigonometric Ratios and Functions Chapter 10 Probability Chapter 11 Data Analysis and Statistics 2
Program Philosophy: Rigor and Balance Research shows that students benefit from a program that includes equal exposure to discovery learning and direct instruction. By beginning each lesson with an inquiry-based Exploration, Big Ideas Math allows students to delve into the Core Concepts of the lesson. Students question, explain, and persevere as they seek to answer the Essential Question of the lesson that guides students learning and encourages conceptual understanding. These rich Explorations are followed by direct instruction lessons, allowing for procedural fluency, modeling, and the opportunity to use clear, precise mathematical language. Big Ideas Math also realizes that students will be faced with mathematical quandaries outside of the confines of the classroom. The Big Ideas Math series provides students and educators with numerous real-life applications and examples through which students become more comfortable applying the mathematical concepts they have learned in class to scenarios they are likely to encounter in their lives. Conceptual Understanding Procedural Fluency Real-Life Application 3
Focus and Coherence through Embedded Mathematical Practices The Mathematical Practices demand higher-order thinking. The Big Ideas Math program encourages this through robust Explorations and Exercises. Students are challenged beyond basic memorization as they engage in solving problems and discussing the practices used in the process. Students are required to construct viable arguments and critique their own reasoning as well as the reasoning of others. Big Ideas Math also provides students with opportunities to develop the habits of mind that students are required to demonstrate to be successful on standardized assessments. Embedded Mathematical Practices and grade-level content promote greater understanding of how mathematical concepts are connected to each other and to real-life scenarios. The Big Ideas Math program helps turn mathematical learning into an engaging and meaningful way to see and explore the real world. 4
Continuous Preparation for High-Stakes Testing Exercises Rigorous Exercises present problems in a variety of formats to familiarize students with thinking about mathematical concepts from different perspectives. Exercises include: Analyzing Relationships Error Analysis Modeling with Mathematics Using Structure Justifying Steps Making an Argument Mathematical Connections Analyzing Equations The Big Ideas Dynamic Assessment and Progress Monitoring Tool Educators can utilize the Assessment and Progress Monitoring Tool s adaptive testing features and also develop additional practice problem sets directly correlated to a Common Core State Standard or Big Ideas Math lesson. Quizzes and Tests Big Ideas Math provides a number of customizable Quizzes and Tests. The rich problem sets allow educators to assess their students progress and ensure all students are where they need to be, or provide remediation or enrichment as necessary. wavebreakmedia/shutterstock.com Standards Assessments The questions found in the Big Ideas Math Standards Assessments are in formats commonly encountered on high-stakes tests. These assessments were specifically designed to help students prepare for and become more confident while taking standardized tests. Online Test Practice The Big Ideas Math website features auto-graded self assessments, quizzes, tests, and extra practice problems. Performance Tasks The Big Ideas Math program features Performance Tasks for every chapter in the series. These require students to use higher-order thinking and persevere while working through to complete each task. Each Performance Task encompasses multiple Common Core State Standards to provide students with additional opportunities to connect mathematical concepts to each other. Assessment Book The Big Ideas Math Assessment Book features Alternative Assessment options for each Big Ideas Math Chapter Test. Educators also have the option to assign Alternative Assessments as additional practice problem sets. 5
Print Program Components Pupil Edition Also available in ereader format Teaching Edition Student Journal Resources by Chapter Extra Practice Enrichment and Extension Cumulative Review Start Thinking! Warm Up Cumulative Review Warm Up Puzzle Time Family and Communication Letters Available in English and Spanish Assessment Book Performance Tasks Prerequisite Skills Tests with Item Analysis Mid-Chapter Quizzes Chapter Tests Alternative Assessments with Scoring Rubrics Standards Assessments Pre-Course Test with Item Analysis Post-Course Test with Item Analysis 6
Dynamic Technology for the 21st Century Classroom The Big Ideas Math High School Series provides students and educators with a number of technological resources that complement and enhance the print resources. Students can use the online resources on their own or teachers can fully integrate these resources into Big Ideas Math lessons. The Big Ideas Math Technology Package includes: For the Student Online version of the text with English and Spanish audio Student Journal Interactive Tools and Manipulatives Lesson Tutorials Skills Review Handbook Game Closet Multi-Language Glossary with English and Spanish audio For the Teacher Plan Your Lesson Editable Resources including Lesson Plans, Assessment Book, and Resources by Chapter Math Tool Paper Pacing Guides Response to Intervention Differentiating the Lesson Lesson Tutorials Skills Review Handbook Additional Support for Common Core State Standards Complete listing of all Common Core State Standards Performance Tasks for Common Core State Standards by chapter Goodluz/Shutterstock.com Teach Your Lesson Dynamic Classroom complete with Whiteboard Presentations, Interactive Tools and Manipulatives, Support for Mathematical Practices, and the Answer Presentation Tool Online Teaching Edition Vocabulary Flash Cards Worked-Out Solutions Multi-Language Glossary Dynamic Assessment and Progress Monitoring Tool 7
The Big Ideas Dynamic Assessment and Progress Monitoring Tool The Big Ideas Dynamic Assessment and Progress Monitoring Tool will allow teachers to determine where their students are and monitor their progress as they guide them to where they need to be. Teachers can create tests, quizzes, and additional practice sets for specific Big Ideas Math lessons or Common Core State Standards. Customizable reports will allow teachers to track their students progress through the school year and students will also be provided with direct links to remediation when appropriate. Dynamic Assessment and P rogress Monitoring Tool Highlights Adaptive Testing Assessment Scheduling and Delivery Progress Monitoring Secure Message Center Direct Ties to Remediation Online-Based System A ssessment Creation by Lesson or CCSS Auto-Graded Tests and Homework Assessment Sharing Customizable Reporting 8
For more information about the Big Ideas Math High School Series, please visit our website. www.bigideasmath.com/hs Pricing information or to place an order, please contact your Houghton Mifflin Harcourt account executive or call (800) 225-5425