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# Modeling with Mathematics: A Bridge to Algebra II

## Second Edition| ©2013 Nancy Crisler; Gary Simundza; Region IV Educational Service Center; COMAP

With the emphasis the Common Core State Standards (CCSS) places on modeling, *Modeling With Mathematics: A Bridge to Algebra II* (*Bridge 2e*) addresses these modeling requirements while helping prepare students for success in Algebra II. Intended for students who have taken...

With the emphasis the Common Core State Standards (CCSS) places on modeling, *Modeling With Mathematics: A Bridge to Algebra II* (*Bridge 2e*) addresses these modeling requirements while helping prepare students for success in Algebra II. Intended for students who have taken Algebra I and Geometry but who are not yet ready for Algebra II, this program helps solidify their understanding by providing a different kind of learning experience. With *Bridge 2e* students model real-world applications with a functions approach netting a deeper grasp of the important concepts necessary for success in Algebra II and on the forthcoming Common Core assessments.

**IMPORTANT: This product is only available for existing, contracted adoptions. Sample requests or sales inquiries will not be fulfilled for new and non-contractual adoptions.**

**IMPORTANT: This product is only available for existing, contracted adoptions. Sample requests or sales inquiries will not be fulfilled for new and non-contractual adoptions.**

#### Institutional Prices

With the emphasis the Common Core State Standards (CCSS) places on modeling, *Modeling With Mathematics: A Bridge to Algebra II* (*Bridge 2e*) addresses these modeling requirements while helping prepare students for success in Algebra II. Intended for students who have taken Algebra I and Geometry but who are not yet ready for Algebra II, this program helps solidify their understanding by providing a different kind of learning experience. With *Bridge 2e* students model real-world applications with a functions approach netting a deeper grasp of the important concepts necessary for success in Algebra II and on the forthcoming Common Core assessments.

**IMPORTANT: This product is only available for existing, contracted adoptions. Sample requests or sales inquiries will not be fulfilled for new and non-contractual adoptions.**

Features

**Enhanced Content**

While

*Bridge 2e*continues with the goal of helping students succeed in Algebra II, the new edition has several enhancements. Linearity and linear models form the algebraic core of the first part of the text, followed by systems, exponential and quadratic functions. Geometry-related chapters are interspersed, with chapters on data analysis, probability, and finance also included. Although highly contextual, the mathematics has been made more transparent in the second edition, as is evidenced by the Table of Contents and the lists of objectives and key vocabulary in each end-of-chapter review. This transparency makes for easier correlation with state-specific standards and the new Common Core State Standards.

**5E Instructional Model**

The components of the 5E model (Engage, Explore, Explain, Elaborate and Evaluate) form the backbone of the text and are pointed out in each chapter of the

*Annotated Teacher’s Edition*.

**Four Types of Lessons**

Each chapter is divided into well-paced lesson that make teaching and learning from the book easier, they are:

**Activities**(group experimentation or data collection);

**Investigations**(group exploration of a concept using pencil and paper);

**Regular Lessons**(direct teaching of math concepts); and

**Review and Practice (R.A.P.)**(skill review exercises for topics taught previously). The various types of lessons help engage students through hands-on learning, and reflect upon and practice what they have learned through integrated exercises that facilitate connections between past and future learning.

**Skills Review Appendix**

A set of 16 short appendices that provide a short review, with exercises, of key math skills on which students frequently need a refresher.

**Stepped-out Examples**

Highlighted examples offer detailed, annotated solutions making it easier for students to learn, teachers to teach, and parents to help facilitate their child’s learning.

**Annotated Teacher’s Edition**

With a wrap-around design and two pages of notes prior to each chapter, the ATE helps teachers prepare daily lesson plans for each chapter as these notes contain the objectives of the lesson, prerequisite skills, new vocabulary, a lesson description, teaching tips, and answers to the questions and exercises for the lesson.

New to This Edition

**
Modeling with Mathematics: A Bridge to Algebra II**

Second Edition| ©2013

Nancy Crisler; Gary Simundza; Region IV Educational Service Center; COMAP

**Modeling with Mathematics: A Bridge to Algebra II**

Second Edition| 2013

Nancy Crisler; Gary Simundza; Region IV Educational Service Center; COMAP

## Table of Contents

**1. Mathematical Modeling***What is a Mathematical Model?***2. Direct Variation***How is Mathematics Related to Bungee Jumping?***3. Solving Equations and Inequalities***How Can We Care for Our Forests?***4. Measurement: Perimeter, Area and Volume**

*Why is Package Design Important?*

**5. Functions and Their Representations**

*How Can You Find the Value of an Unknown Quantity?*

**6. Describing Data**

*How Does the Census Help Us Understand Our Country?*

**7. Linear Models from Data**

*What Happened to Amelia Earhart?*

**8. Systems of Equations and Inequalities**

*How Are Business Decisions Made?*

**9. Symmetry and Transformations**

*How Do Archaeologists Use Mathematics to Study Past Civilizations?*

**10. Exponential Functions**

*Will the World Have Enough Water?*

**11. Quadratic Functions**

*Is it a Parabola?*

**12. Indirect Measurement**

*How Can You Determine the Height of a Model Rocket?*

**13. Periodic Functions and Sound**

*How Are Music and Repeated Motion Related?*

**14. Probability**

*What Are the Chances?*

**15. The Mathematics of Personal Finance**

*How Much Do I Need to Cover My Personal Expenses?*

**Appendices:** Fractions, Decimals, Ratio, Proportions, Percents as Fractions and Decimals, Percent Calculations, Absolute Value, Order of Operations, Operations with Positive and Negative Numbers, Properties of Real Numbers, Scientific Notation, Solving One- and Two-step Equations, Simplifying Radicals, Mean, Median, Mode, and Range, Coordinate Plane, Square Roots

**Modeling with Mathematics: A Bridge to Algebra II**

Second Edition| 2013

Nancy Crisler; Gary Simundza; Region IV Educational Service Center; COMAP

## Authors

### Nancy Crisler

### Gary Simundza

### Region IV Ed Service Ctr

### COMAP

**Modeling with Mathematics: A Bridge to Algebra II**

Second Edition| 2013

Nancy Crisler; Gary Simundza; Region IV Educational Service Center; COMAP

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