Quantile Report Carnegie Learning, Inc. DATE: Friday, June 19, 2009 CONTACT: Kanista Zuniga – Agreement and Work Request EMAIL: kzuniga@lexile.com PHONE: 919-547-3426 CONTACT: Bridgett McDowell – Quantile Editor EMAIL: bmcdowell@lexile.com PHONE: 919-354-3476 CONTACT: Patricia Carideo – Accounting/Invoicing EMAIL: pcarideo@lexile.com PHONE: 919-547-3405 FAX: (919) 547-3401 ADDRESS: 1000 Park Forty Plaza Drive, Suite 120 Durham, North Carolina, 27713 CODES: EM Emerging Mathematician NMQ Not Measurable in Quantiles HMC Higher Mathematical Concept Sandy and David, Attached is the report for the Bridge to Algebra text you submitted for Quantile Calibrations. I have included the contact information for our group here. If you have any questions regarding the meaning of the measures please contact Bridgett McDowell in our Quantile Department. Any questions pertaining to the agreement or future work requests can come to me. Patricia will handle the invoicing. Thanks and talk to you soon, Kanista Quantile Textbook Report Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN Q200905S1 ISBN13 Author Carnegie Learning, Inc. StateEdition Grade 2009 Pre-Algebra 1 Operations with Whole Numbers 1.1 Adding and Subtracting Whole Numbers with Place-Value Labels 250Q 1.2 Adding and Subtracting Whole Numbers using Regrouping 250Q 1.3 Multiplying Whole Numbers 530Q 1.4 Dividing Whole Numbers by Whole Numbers 690Q 2 Picture Algebra 2.1 Using Picture Algebra with Multiplication 530Q 2.2 Using Picture Algebra with Addition 300Q 2.3 Using Picture Algebra with Subtraction 300Q 3 Least Common Multiple 3.1 Finding the LCM of Two Numbers 610Q 3.2 Finding the LCM in Real-World Problems 610Q 4 Greatest Common Factor 4.1 Finding the GCF of Two Numbers 690Q 4.2 Finding GCF in Real-World Problems 740Q Friday, June 19, 2009 Page 1 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 5 Fraction Representations 5.1 Identifying Fractions from Part-to-Whole Models 190Q 5.2 Creating Part-to-Whole Models from Fractions 190Q 5.3 Identifying Fractions from Group Models 190Q 5.4 Creating Group Models from Fractions 190Q 5.5 Idenifying Fractions from Number Line Models 190Q 5.6 Creating Number Line Models from Fractions 190Q 6 Division of Multiple Wholes as Fractions 6.1 Dividing Multiple Wholes as Proper Fractions 190Q 6.2 Dividing Multiple Wholes as Improper Fractions 190Q 6.3 Dividing Mulitple Wholes as Proper and Improper Fractions 190Q 7 Division of Groups as Fractions 7.1 Finding Parts of Groups using Fractions 590Q 7.2 Finding Group Totals using Fractions 590Q 7.3 Finding Parts of Groups or Group Totals using Fractions 590Q 8 Equivalent Fractions 8.1 Writing Equivalent Fractions using Part-to-Whole Models 590Q 8.2 Writing Equivalent Fractions using Number Line Models 590Q 8.3 Writing Simplified Fractions using Part-to-Whole Models 690Q 8.4 Writing Simplified Fractions using Number Line Models 690Q 8.5 Comparing Fractions using Part-to-Whole Models 710Q 8.6 Comparing Fractions using Symbols 710Q Friday, June 19, 2009 Page 2 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 9 Fraction Addition and Subtraction 9.1 Using Part-to-Whole Models with Like Denominator Fractions 670Q 9.2 Using Number Lines with Like Denominator Fractions 670Q 9.3 Using Part-to-Whole Models with Unlike Denominator Fractions 790Q 9.4 Using Number Lines with Unlike Denominator Fractions 790Q 9.5 Using the Solver with Unlike Denominator Fractions 790Q 10 Mixed Numbers and Improper Fractions 10.1 Converting Mixed Numbers to Improper Fractions 610Q 10.2 Converting Improper Fractions to Mixed Numbers 610Q 10.3 Adding and Subtracting Mixed Numbers 790Q 11 Fraction Multiplication and Division 11.1 Multiplying Fractions using Area Models 820Q 11.2 Multiplying and Dividing Fractions using the Solver 870Q 11.3 Mulitplying and Dividing Mixed Numbers using the Solver 920Q 12 Decimals and Place Value 12.1 Writing Money Amounts using Place Value 470Q 12.2 Writing Decimals using Place Value 600Q 12.3 Identifying Place Values and Digits of Decimals 620Q 12.4 Writing Decimals using Expanded Notation 620Q Friday, June 19, 2009 Page 3 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 13 Fraction and Decimal Conversions 13.1 Converting Decimals to Fractions 710Q 13.2 Converting Special Fractions to Decimals 710Q 13.3 Converting Fractions to Decimals using Equivalent Fractions 710Q 14 Decimal Addition and Subtraction 14.1 Adding and Subtracting Decimals using Place-Value Labels 580Q 14.2 Adding and Subtracting Decimals using Regrouping 580Q 14.3 Adding Three Decimals 580Q 15 Decimal Multiplication and Division 15.1 Multiplying Decimals 700Q 15.2 Dividing Decimals by Whole Numbers 700Q 15.3 Dividing Decimals by Decimals 700Q 15.4 Converting Fractions to Decimals using Division 710Q 16 Ratios and Proportions 16.1 Writing Ratios 210Q 16.2 Comparing Rates 830Q 16.3 Solving Proportions Using Equivalent Fractions 530Q 16.4 Solving Proportions Using Means and Extremes 720Q Friday, June 19, 2009 Page 4 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 17 Fraction, Decimal, and Percent Conversions 17.1 Converting Common Percents 860Q 17.2 Converting with Percents Less Than 100 860Q 17.3 Converting with Percents Greater Than 100 860Q 17.4 Converting with Percents Less Than 1 860Q 17.5 Converting with Fractional Percents 860Q 18 Percents and Proportions 18.1 Using Common Percents 400Q 18.2 Finding the Percent of a Number 870Q 18.3 Finding Percents Given Two Numbers 820Q 18.4 Finding Totals Equal to 100% 820Q 18.5 Using Percents 870Q 19 Percent Change 19.1 Finding Percent Change 900Q 19.2 Finding Final Amounts Given Percent Change 900Q 19.3 Finding Percent Change and Final Amounts 900Q 19.4 Using Percents and Percent Change 900Q Friday, June 19, 2009 Page 5 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 20 Integer Representation, Addition, and Subtraction 20.1 Identifying Integers from Number Lines 470Q 20.2 Creating Number Lines for Integers 470Q 20.3 Using Number Lines to Add and Subtract Positive Integers 800Q 20.4 Using Number Lines to Add and Subtract Negative Integers 800Q 20.5 Using Numbr Lines to Add and Subtract Integers 800Q 20.6 Using the Solver to Add and Subtract Integers 800Q 21 Integer Multiplication and Division 21.1 Multiplying Integers using the Solver 810Q 21.2 Dividing Integers using the Solver 810Q 21.3 Multiplying and Dividing Integers using the Solver 810Q 22 Order of Operations 22.1 Simplifying Expressions (No Type In) 500Q 22.2 Simplifying Expressions (Type In) 500Q 23 Exponents 23.1 Writing Positive Powers of Ten 600Q 23.2 Writing Positive Powers of Bases Other than Ten 600Q 23.3 Writing Negative Powers of Ten 600Q 23.4 Writing Negative Powers of Bases Other than Ten 600Q 23.5 Writing Powers of Bases 600Q Friday, June 19, 2009 Page 6 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 24 Scientific Notation 24.1 Using Scientific Notation with Whole Numbers and Positive Exponents 910Q 24.2 Using Scientific Notation with Decimals and Postive Exponents 910Q 24.3 Using Scientific Notation with Whole Numbers and Negative Exponents 910Q 24.4 Using Scientific Notation with Decimals and Negative Exponents 910Q 24.5 Using Scientific Notation 910Q 24.6 Comparing Numbers using Scientific Notation 910Q 25 Absolute Value 25.1 Using Absolute Value as a Distance 900Q 25.2 Simplifying Expressions with Absolute Value 990Q 26 Picture Algebra and Equations 26.1 Reviewing Picture Algebra NMQ 26.2 Using Picture Algebra with Multiplication, Total Given NMQ 26.3 Using Picture Algebra with Addition and Subtraction, Total Given NMQ 26.4 Writing Multiplication Equations 820Q 26.5 Writing Addition Equations 820Q 26.6 Writing Subtraction Equations 820Q 26.7 Writing Equations 800Q Friday, June 19, 2009 Page 7 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 27 Patterns and Expressions 27.1 Modeling with Multiplication 930Q 27.2 Modeling with Addition and Subtraction 930Q 27.3 Modeling with Operations 930Q 28 One-Step Unit Conversions 28.1 Converting Within Systems using One Step 880Q 28.2 Converting Between Systems using One Step 29 Patterns and One-Step Equations 29.1 Modeling with Multiplication 930Q 29.2 Modeling with Addition and Subtraction 930Q 29.3 Modeling with Operations 930Q 30 One-Step Equations 30.1 Solving with Addition and Subtraction (No Type In) 650Q 30.2 Solving with Addition and Subtraction (Type In) 650Q 30.3 Solving with Multiplication and Division (No Type In) 650Q 30.4 Solving with Multiplication and Division (Type In) 650Q 30.5 Solving with Negative One (No Type In) 650Q 30.6 Solving with Negative One (Type In) 650Q 30.7 Solving One-Step Equations 650Q Friday, June 19, 2009 Page 8 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 31 Patterns and Two-Step Equations 31.1 Modeling Two-Step Equations 930Q 32 Expression Evaluation 32.1 Evaluating Expressions with One Operation 840Q 32.2 Evaluating Expressions with Two Operations 840Q 33 Two-Step Equations 33.1 Solving with Multiplication (No Type In) 690Q 33.2 Solving with Multiplication (Type In) 690Q 33.3 Solving with Division (No Type In) 690Q 33.4 Solving with Division (Type In) 690Q 33.5 Two-Step Equations 690Q 34 Problem Solving with Two-Step Equations 34.1 Solving Problems with Two-Step Equations 840Q 34.2 Solving Problems with More Difficult Two-Step Equations 840Q 34.3 Solving Problems with Decimal and Fraction Equations 840Q Friday, June 19, 2009 Page 9 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 35 First Quadrant Graphs 35.1 Graphing using Point Plotting 930Q 36 Graphs of Inequalities 36.1 Graphing Inequalities 840Q 36.2 Graphing Compound Inequalities 37 Angles and Algle Pairs 37.1 Measuring Angles 990Q 37.2 Classifying Angles 530Q 37.3 Classifying Angle Pairs 1020Q 37.4 Finding Measures of Angles Formed with Parallel Lines 1040Q 37.5 Measruing Angles in a Triangle 1070Q 38 Triangles, Quadrilaterals, and Polygons 38.1 Classifying Triangles 610Q 38.2 Classifying Quadrilaterals 680Q 38.3 Classifying Polygons 680Q Friday, June 19, 2009 Page 10 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 39 Introduction to Similar Triangles 39.1 Finding Corresponding Parts of Simliar Triangles 920Q 40 Squares and Square Roots 40.1 Finding Perfect Squares and Square Roots 700Q 40.2 Approximating Square Roots 720Q 41 Perimeter and Area 41.1 Finding Perimeter and Area of Squares and Rectangles 450Q 41.2 Finding Perimeter and Area of Parallelograms 1040Q 41.3 Finding Perimeter and Area of Triangles 1040Q 41.4 Finding Perimeter and Area of Trapezoids 1040Q 41.5 Finding Circumference and Area of Circles 1040Q 41.6 Finding Area of Composite Figures 1040Q 42 Pythagorean Theorem 42.1 Finding the Length of the Hypotenuse of a Right Triangle 1050Q 42.2 Finding the Length of a Leg of a Right Triangle 1050Q 42.3 Using the Pythagorean Theorem 1050Q Friday, June 19, 2009 Page 11 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 43 Distance and Midpoint 43.1 Finding Distances using the Pythagorean Theorem 1050Q 43.2 Finding Distances using the Distance Formula 900Q 43.3 Finding Midpoints 900Q 43.4 Finding Distances and Midpoints 900Q 44 Single Event Probability 44.1 Finding Simple Probabilities 860Q 44.2 Finding Disjoint Probabilities 860Q 44.3 Finding Theoretical and Experimental Probabilities 830Q 45 Independent and Dependent Events 45.1 Finding the Sample Space for Independent Events 750Q 45.2 Finding the Sample Space for Dependent Events 750Q 45.3 Finding the Sample Space for Independent and Dependent Events 750Q 45.4 Finding Compound Probabilities 920Q 46 Measures of Central Tendency 46.1 Finding Mean, Median, Mode, and Range 850Q 46.2 Determining Appropriate Measure 950Q 46.3 Measuring the Effects of Changing Data Sets 46.4 Finding a Data Value Given a Mean Friday, June 19, 2009 1050Q 850Q Page 12 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 47 Volume and Surface Area 47.1 Finding Volume of Prisms 840Q 47.2 Finding Surface Area of Prisms 1220Q 47.3 Finding Volume of Cylinders 1070Q 47.4 Finding Surface Area of Cylinders 1220Q 47.5 Finding Volume of Pyramids 1070Q 47.6 Finding Volume of Cones 1070Q 47.7 Finding Volume of Spheres 1220Q 47.8 Finding Surface Area of Spheres 1220Q 48 Linear Functions 48.1 Graphing using Slope and y-intercept with Integers 1140Q 48.2 Graphing using Slope and y-intercept with Decimals 1140Q 49 Rational and Irrational Numbers 49.1 Creating Number Line Models 840Q 49.2 Ordering Rational and Irrational Numbers 850Q 50 Operations with Rational Numbers 50.1 Performing Operations with Fractions 890Q 50.2 Performing Operations with Decimals 890Q 50.3 Simplifying Expressions Using the Distributive Property 950Q Friday, June 19, 2009 Page 13 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com. Bridge to Algebra Publisher Carnegie Learning, Inc. Copyright ISBN ISBN13 Q200905S1 2009 51 Geometric Transformations 51.1 Performing One Transformation 1120Q 51.2 Performing Two Transformations 1120Q 51.3 Performing Three Transformations 1120Q Friday, June 19, 2009 Page 14 of 14 MetaMetrics, Quantile, Quantile Framework and the Quantile symbol are trademarks or U.S. registered trademarks of MetaMetrics, Inc. The names of other companies and products mentioned herein may be the trademarks of their respective owners. © 2009 MetaMetrics, Inc. All rights reserved. For more information, call 1-888-539-4537 or check on the Web at www.Quantiles.com.