Standards-Based Progress Mathematics. Progress in Mathematics

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1 SADLIER Standards-Based Progress Mathematics Aligned to SADLIER Progress in Mathematics Grade 5 Contents Chapter 1 Place Value, Addition, and Subtraction Chapter 2 Multiplication Chapter 3 Division Chapter 4 Number Theory and Fractions Chapter 5 Fractions: Addition and Subtraction Chapter 6 Fractions: Multiplication and Division Chapter 7 Statistics and Probability Chapter 8 Decimals: Addition and Subtraction Chapter 9 Decimals: Multiplication and Division Chapter 10 Geometry Chapter 11 Measurement Topics Chapter 12 Metric Measurement, Area, and Volume Chapter 13 Ratio, Proportion, and Percent Chapter 14 More Concepts in Algebra William H. Sadlier, Inc

2 Chapter 1 Place Value, Addition, and Subtraction 1-1 What Is a Billion? pp Lesson 4 Understand Place Value pp Place Value to Billions pp Expanded Form pp Thousandths pp Lesson 4 Understand Place Value pp *1-4A Decimals and Expanded Form Online 1-5 Decimals Greater Than One pp Lesson 6 Read and Write Decimals to Thousandths pp Compare and Order Numbers pp Lesson 7 Compare Decimals to Thousandths pp Rounding Numbers pp Lesson 8 Round Decimals: Use Place Value pp Addition Properties/Subtraction Rules pp Estimate Sums and Differences pp Addition: Three or More Addends pp Subtraction with Zeros pp Larger Sums and Differences pp Roman Numerals pp Problem Solving Strategy: Guess and Test pp Problem Solving Applications: Mixed Review pp Copyright William H. Sadlier, Inc. All rights reserved. 2

3 Chapter 2 Multiplication 2-1 Factors and Products pp Properties of Multiplication pp Lesson 1 Use Grouping Symbols and Evaluate Numerical Expressions pp Mental Math Special Factors pp Patterns in Multiplication pp Estimate Products pp Zeros in the Multiplicand pp Multiply Two Digits pp Multiply Three Digits pp Zeros in the Multiplier pp Multiplication with Money pp Problem Solving Applications: Mixed Review pp Lesson 2 Lesson 5 Lesson 9 Lesson 9 Write and Interpret Numerical Expressions pp Powers of 10: Use Patterns and Whole-Number Exponents pp Multiply Fluently with Multi-Digit Numbers pp Multiply Fluently with Multi-Digit Numbers pp Copyright William H. Sadlier, Inc. All rights reserved. 3

4 Chapter 3 Division 3-1 Understanding Division pp Division Patterns pp Three-Digit Quotients pp Larger Quotients pp Zeros in the Quotient pp Short Division pp Explore Divisibility pp Divisibility and Mental Math pp Estimation Compatible Numbers pp *3-9A Use Arrays to Divide Online 3-10 Teens as Divisors pp *3-10A Use Strategies to Divide Online 3-11 Two-Digit Divisors pp Divide Larger Numbers pp Lesson 10 Lesson 11 Lesson 10 Lesson 11 Lesson 10 Lesson 11 Divide Whole Numbers: Use Place Value Strategies pp Divide Whole Numbers: Use Properties of Operations pp Divide Whole Numbers: Use Place Value Strategies pp Divide Whole Numbers: Use Properties of Operations pp Divide Whole Numbers: Use Place Value Strategies pp Divide Whole Numbers: Use Properties of Operations pp Divide Money pp Lesson 14 Divide Decimals to Hundredths pp Order of Operations pp *3-14A Variables and Expressions Online 3-15 Problem Solving Strategy: Make a Table/Find a Pattern pp Problem Solving Applications: Mixed Review pp Lesson 1 Lesson 2 Use Grouping Symbols and Evaluate Numerical Expressions pp Write and Interpret Numerical Expressions pp Copyright William H. Sadlier, Inc. All rights reserved. 4

5 Chapter 4 Number Theory and Fractions 4-1 Explore Prime and Composite Numbers pp Factors, Primes, and Composites pp Greatest Common Factor pp Fraction Sense pp Lesson 16 Problem Solving: Add and Subtract Fractions 4-5 Fractions in Lowest Terms pp Fractions in Greater Terms pp Multiples: LCM and LCD pp Mixed Numbers pp Fractions Greater Than or Equal to One pp Compare and Order Fractions pp Problem Solving Strategy: Make an Organized List pp Problem Solving Applications: Mixed Review pp Copyright William H. Sadlier, Inc. All rights reserved. 5

6 Chapter 5 Fractions: Addition and Subtraction 5-1 Rename Fraction Sums: Like Denominators pp Lesson 16 Problem Solving: Add and Subtract Fractions *5-1A Add Fractions with Unlike Denominators Online Lesson 15 Add and Subtract Fractions with Unlike Denominators pp Add Fractions Unlike Denominators pp Add Three Fractions pp Add Mixed Numbers pp Rename Mixed Number Sums pp Rename Differences: Like Denominators pp Lesson 15 Lesson 16 Lesson 16 Add and Subtract Fractions with Unlike Denominators pp Problem Solving: Add and Subtract Fractions Problem Solving: Add and Subtract Fractions *5-6A Subtract Fractions with Unlike Denominators Online Lesson 15 Add and Subtract Fractions with Unlike Denominators pp Subtract Fractions Unlike Denominators pp More Subtraction of Fractions pp Lesson 15 Lesson 16 Add and Subtract Fractions with Unlike Denominators pp Problem Solving: Add and Subtract Fractions *5-8A Subtract Fractions and Whole Numbers from Mixed Numbers Online Lesson 15 Add and Subtract Fractions with Unlike Denominators pp Subtract Mixed Numbers pp Lesson 15 Add and Subtract Fractions with Unlike Denominators pp Lesson 16 Problem Solving: Add and Subtract Fractions *5-9A Use Benchmark Fractions Online Lesson 16 Problem Solving: Add and Subtract Fractions 5-10 Subtraction with Renaming pp More Renaming in Subtraction pp Estimate Sums and Differences of Mixed Numbers pp Problem Solving Strategy: Work Backward pp Problem Solving Applications: Mixed Review pp Lesson 15 Lesson 16 Lesson 16 Add and Subtract Fractions with Unlike Denominators pp Problem Solving: Add and Subtract Fractions Problem Solving: Add and Subtract Fractions Copyright William H. Sadlier, Inc. All rights reserved. 6

7 Chapter 6 Fractions: Multiplication and Division 6-1 Multiply Fractions pp Lesson 18 Interpret Products of Fractions pp Multiply Fractions by Fractions pp Lesson 19 Find Areas of Rectangles: Tile and Multiply pp Multiply Fractions and Whole Numbers pp Lesson 18 Interpret Products of Fractions pp Lesson 21 Problem Solving: Multiply Fractions and Mixed Numbers pp Multiply Fractions Using the GCF pp Rename Mixed Numbers as Fractions pp Multiply Fractions and Mixed Numbers pp Lesson 21 Lesson 19 Lesson 21 Problem Solving: Multiply Fractions and Mixed Numbers pp Find Areas of Rectangles: Tile and Multiply pp Problem Solving: Multiply Fractions and Mixed Numbers pp Multiply Mixed Numbers pp Lesson 21 Problem Solving: Multiply Fractions and Mixed Numbers pp *6-7A Interpret the Remainder Online Lesson 17 Interpret Fractions as Division pp Division of Fractions pp Lesson 23 Divide Whole Numbers by Unit Fractions pp Reciprocals pp Divide Whole Numbers by Fractions pp Lesson 23 Divide Whole Numbers by Unit Fractions pp Lesson 24 Problem Solving: Divide Unit Fractions and Whole Numbers pp Divide Whole Numbers by Fractions pp Lesson 22 Divide Unit Fractions by Whole Numbers pp Lesson 23 Lesson 24 Divide Whole Numbers by Unit Fractions pp Problem Solving: Divide Unit Fractions and Whole Numbers pp *6-10B Word Problems Involving Fractions Online Lesson 21 Problem Solving: Multiply Fractions and Mixed Numbers pp Lesson 24 Problem Solving: Divide Unit Fractions and Whole Numbers pp Divide Fractions by Fractions pp Divide Fractions by Whole Numbers pp Lesson 22 Divide Unit Fractions by Whole Numbers pp Lesson 24 Problem Solving: Divide Unit Fractions and Whole Numbers pp Copyright William H. Sadlier, Inc. All rights reserved. 7

8 Chapter 6 Fractions: Multiplication and Division 6-13 Divide Mixed Numbers by Fractions pp Divide Mixed Numbers pp Estimate Products and Quotients with Mixed Numbers pp Problem Solving Strategy: Use Simpler Numbers pp Problem Solving Applications: Mixed Review pp Lesson 21 Problem Solving: Multiply Fractions and Mixed Numbers pp Copyright William H. Sadlier, Inc. All rights reserved. 8

9 Chapter 7 Statistics and Probability 7-1 Probability pp Tree Diagrams pp Independent and Dependent Events pp Collect and Organize Data pp Range, Median, Mean and Mode pp Graphing Sense pp Problem Solving Applications: Mixed Review pp Lesson 27 Problem Solving: Use Line Plots pp Histograms pp Make Line Graphs pp Interpret Circle Graphs pp Problem Solving Strategy: Use a Model/Diagram pp Problem Solving Applications: Mixed Review pp Copyright William H. Sadlier, Inc. All rights reserved. 9

10 Chapter 8 Decimals: Addition and Subtraction 8-1 Decimal Sense pp Lesson 7 Compare Decimals to Thousandths pp Decimals and Place Value pp Lesson 4 Understand Place Value pp Lesson 6 Read and Write Decimals to Thousandths pp *8-2A *8-2B Use Models to Add Decimals Online Mental Math Add Decimals Online Lesson 12 Add and Subtract Decimals to Hundredths pp Add Decimals pp Estimate Decimal Sums pp Lesson 8 Round Decimals: Use Place Value pp Add More Decimals pp *8-5A Use Models to Subtract Decimals Online 8-6 Subtract Decimals pp Lesson 12 Lesson 12 Add and Subtract Decimals to Hundredths pp Add and Subtract Decimals to Hundredths pp Estimate Decimal Differences pp Lesson 8 Round Decimals: Use Place Value pp Subtract More Decimals pp Lesson 12 Add and Subtract Decimals to Hundredths pp Problem Solving Strategy: Use More Than One Step pp Problem Solving Applications: Mixed Review pp Lesson 12 Add and Subtract Decimals to Hundredths pp Copyright William H. Sadlier, Inc. All rights reserved. 10

11 Chapter 9 Decimals: Multiplication and Division 9-1 Multiply by 10, 100, and 1000 pp Lesson 5 Powers of 10: Use Patterns and Whole-Number Exponents pp Lesson 13 Multiply Decimals to Hundredths pp Estimate Decimal Products pp Lesson 8 Round Decimals: Use Place Value pp *9-2A Multiply Decimals Online Lesson 13 Multiply Decimals to Hundredths pp Multiply Decimals by Whole Numbers pp *9-3A Model Multiplying Two Decimals Online 9-4 Multiply Decimals by Decimals pp Zeros in the Product pp Divide by 10, 100, and 1000 pp Lesson 5 Powers of 10: Use Patterns and Whole-Number Exponents pp Lesson 13 Multiply Decimals to Hundredths pp *9-6A Model Dividing a Decimal by a Whole Number Online 9-7 Divide Decimals by Whole Numbers pp Lesson 13 Multiply Decimals to Hundredths pp Lesson 14 Divide Decimals to Hundredths pp Zeros in Division pp *9-8A *9-8B Model Dividing a Decimal by a Decimal Online Divide Decimals Online 9-9 Estimate Decimal Quotients pp Estimate with Money: Rounding to the Nearest Cent p. 313 Lesson 8 Round Decimals: Use Place Value pp Problem Solving Strategy: Write a Number Sentence pp Problem Solving Applications: Mixed Review pp Lesson 13 Multiply Decimals to Hundredths pp Lesson 14 Divide Decimals to Hundredths pp Copyright William H. Sadlier, Inc. All rights reserved. 11

12 Chapter 10 Geometry 10-1 Measure and Draw Angles pp Identify Angles pp Polygons pp Congruent and Similar Figures pp Triangles pp Quadrilaterals pp Lesson 36 Analyze Properties to Classify Two-Dimensional Figures pp *10-6A Classify Quadrilaterals Online 10-7 Perimeter pp Circles pp Circumference pp Lines of Symmetry pp Transformations pp Tessellations pp Problem Solving Strategy: Use a Diagram/ Model pp Problem Solving Applications: Mixed Review pp Copyright William H. Sadlier, Inc. All rights reserved. 12

13 Chapter 11 Measurement Topics 11-1 Relate Customary Units of Length pp Relate Customary Units of Capacity pp Relate Customary Units of Weight pp Temperature pp Units of Time pp Time Zones pp Compute with Customary Units pp Problem Solving Strategy: Use More Than Step pp Problem Solving Applications: Mixed Review pp Lesson 25 Lesson 25 Convert Customary Measurement Units pp Convert Customary Measurement Units pp Copyright William H. Sadlier, Inc. All rights reserved. 13

14 Chapter 12 Metric Measurement, Area, and Volume 12-1 Metric Measurement pp Lesson 26 Convert Metric Measurement Units pp Relate Metric Units of Length pp Relate Metric Units of Capacity pp Relate Metric Units of Mass pp Square Measure pp *12-5A Find Areas of Rectangles and Squares Online Lesson 19 Find Areas of Rectangles: Tile and Multiply pp Areas of Rectangles and Squares pp Areas of Parallelograms and Triangles pp Solid Figures pp Surface Area pp Cubic Measure pp Volume pp Lesson 28 Understand Concepts of Volume Measurement pp Lesson 29 Measure Volume pp Lesson 30 Lesson 31 Lesson 32 Find Volume: Relate Packing of Unit Cubes to Multiplying pp Find Volume: Use the Associate Property pp Problem Solving: Apply Volume Formulas for Prisms pp *12-11A Find Volume Online Lesson 30 Find Volume: Relate Packing of Unit Cubes to Multiplying pp Lesson 31 Lesson 32 Find Volume: Use the Associate Property pp Problem Solving: Apply Volume Formulas for Prisms pp *12-11B Separate Solid Figures Online Lesson 33 Problem Solving: Decompose Figures to Find Volume pp Estimate Volume pp Lesson 28 Understand Concepts of Volume Measurement pp Lesson 29 Measure Volume pp Lesson 30 Lesson 31 Find Volume: Relate Packing of Unit Cubes to Multiplying pp Find Volume: Use the Associate Property pp Copyright William H. Sadlier, Inc. All rights reserved. 14

15 Chapter 12 Metric Measurement, Area, and Volume *12-12A Line Plots Online Lesson 27 Problem Solving: Use Line Plots pp Problem Solving Strategy: Draw a Picture pp Problem Solving Applications: Mixed Review pp Lesson 26 Convert Metric Measurement Units pp Copyright William H. Sadlier, Inc. All rights reserved. 15

16 Chapter 13 Ratio, Proportion, and Percent 13-1 Ratios as Fractions pp Proportions pp Scale and Maps pp Relate Fractions to Percents pp Relate Percents to Decimals pp Find the Percent of a Number pp Use Percent pp Problem Solving Strategy: Combine Strategies pp Problem Solving Applications: Mixed Review pp Copyright William H. Sadlier, Inc. All rights reserved. 16

17 Chapter 14 More Concepts in Algebra 14-1 Algebraic Expressions and Equations pp Properties of Equality pp Addition and Subtraction Equations pp Multiplication and Division Equations pp Equations with Fractions pp Introduction to Integers pp Compare and Order Integers pp Add Integers with Like Signs pp Add Integers with Unlike Signs pp Subtract Integers pp Multiply Integers pp Divide Integers pp Lesson 2 Write and Interpret Numerical Expressions pp The Coordinate Plane pp Lesson 34 Understand Points on the Coordinate Plane pp *14-13A Using Coordinate Graphs Online Lesson 35 Graph Points to Represent Problem Situations pp *14-13B Sequences Online Lesson 3 Analyze Numerical Patterns pp *14-13C Compare Sequences Online Function Tables pp Functions and Coordinate Graphs pp Lesson 3 Analyze Numerical Patterns pp Lesson 35 Graph Points to Represent Problem Situations pp Problem Solving Strategy: Write an Equation pp Problem Solving Applications: Mixed Review pp Copyright William H. Sadlier, Inc. All rights reserved. 17

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