Standards-Based Progress Mathematics. Progress in Mathematics

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1 SADLIER Standards-Based Progress Mathematics Aligned to SADLIER Progress in Mathematics Grade 6 Contents Chapter 1 Number Sense, Addition, and Subtraction Chapter 2 Multiplication: Whole Numbers and Decimals.. 3 Chapter 3 Division: Whole Numbers and Decimals Chapter 4 Expressions and Equations Chapter 5 Integers Chapter 6 Number Theory and Fractions Chapter 7 Fractions: Addition and Subtraction Chapter 8 Fractions: Multiplication, Division, and Probability Chapter 9 Data and Statistics Chapter 10 Geometry Chapter 11 Ratio, Proportion, and Percent Chapter 12 Percent Applications Chapter 13 Measurement Chapter 14 More Concepts in Algebra William H. Sadlier, Inc

2 Chapter 1 Number Sense, Addition, and Subtraction 1-1 Place Value pp Expanded Form pp Place Value and Exponents pp Lesson 20 Write and Evaluate Numerical Expressions with Exponents pp Compare and Order Decimals pp Round Whole Numbers and Decimals pp Estimate Decimal Sums and Differences pp Addition of Whole Numbers and Decimals pp Lesson 12 Add and Subtract Multi-digit Decimals pp Subtraction of Whole Numbers and Decimals pp Addition and Subtraction of Decimals pp Addition and Subtraction Expressions pp Lesson 12 Add and Subtract Multi-digit Decimals pp. 104 Lesson 21 Write Algebraic Expressions to Record Operations pp Lesson 22 Identify Parts of an Expression pp Evaluate Addition and Subtraction Expressions pp Lesson 23 Evaluate Algebraic Expressions pp Problem Solving Strategy: Write an Equation pp Lesson 27 Solve Equations of the Form x + p = q pp Problem Solving Applications: Mixed Review pp Lesson 12 Add and Subtract Multi-digit Decimals pp. 104 Copyright William H. Sadlier, Inc. All rights reserved. 2

3 Chapter 2 Multiplication: Whole Numbers and Decimals 2-1 Multiplication Patterns pp Lesson 12 Add and Subtract Multi-digit Decimals pp Estimate Products pp Multiply Whole Numbers pp Multiply with Decimals pp Lesson 12 Add and Subtract Multi-digit Decimals pp Exponents pp Lesson 20 Write and Evaluate Numerical Expressions with Exponents pp Scientific Notation pp Problem Solving Strategy: Use Simpler Numbers pp Lesson 23 Evaluate Algebraic Expressions pp Problem Solving Applications: Mixed Review pp Lesson 12 Add and Subtract Multi-digit Decimals pp. 104 Copyright William H. Sadlier, Inc. All rights reserved. 3

4 Chapter 3 Division: Whole Numbers and Decimals 3-1 Short Division pp Lesson 11 Divide Multi-digit Numbers pp Estimate Quotients pp Divide Whole Numbers pp Lesson 11 Divide Multi-digit Numbers pp Divide Decimals by 10, 100, and 1,000 pp Divide Decimals by Whole Numbers pp Patterns with Tenths, Hundredths, and Thousandths pp Lesson 12 Add and Subtract Multi-digit Decimals pp Estimate Decimal Quotients pp Subtract with Regrouping pp Decimal Divisors pp Zeros in Division pp Lesson 12 Add and Subtract Multi-digit Decimals pp Multiplication and Division Expressions pp Lesson 21 Write Algebraic Expressions to Record Operations pp Lesson 22 Identify Parts of an Expression pp Evaluate Multiplication and Division Expressions pp Lesson 23 Evaluate Algebraic Expressions pp Round Quotients pp Problem Solving Strategy: Interpret the Remainder pp Problem Solving Applications: Mixed Review pp Lesson 11 Divide Multi-digit Numbers pp Lesson 12 Add and Subtract Multi-digit Decimals pp. 104 Copyright William H. Sadlier, Inc. All rights reserved. 4

5 Chapter 4 Expressions and Equations 4-1 Order of Operations pp Lesson 20 Write and Evaluate Numerical Expressions with Exponents pp Lesson 23 Evaluate Algebraic Expressions pp *4-1A Expressions Online Lesson 22 Identify Parts of an Expression pp Lesson 23 Evaluate Algebraic Expressions pp Translate Expressions pp Lesson 21 Write Algebraic Expressions to Record Operations pp Lesson 22 Identify Parts of an Expression pp Lesson 23 Evaluate Algebraic Expressions pp Lesson 27 Solve Equations of the Form x + p = q pp. 230 *4-2A Expressions Involving Exponents Online Lesson 20 Write and Evaluate Numerical Expressions with Exponents pp Evaluate Algebraic Expressions pp Lesson 20 Write and Evaluate Numerical Expressions with Exponents pp Lesson 24 Generate and Identify Equivalent Expressions pp Lesson 27 Solve Equations of the Form x + p = q pp. 230 *4-3A Equivalent Expressions Online Lesson 24 Generate and Identify Equivalent Expressions pp *4-3B Simplify Expressions Online Lesson 24 Generate and Identify Equivalent Expressions pp Equations and Inequalities pp *4-4A Inequalities Online 4-5 Addition Equations pp Subtraction Equations pp Multiplication and Division Equations pp Lesson 25 Identify Solutions to Equations and Inequalities pp Lesson 29 Graph Solutions to Inequalities pp Lesson 27 Solve Equations of the Form x + p = q pp. 230 Copyright William H. Sadlier, Inc. All rights reserved. 5

6 Chapter 4 Expressions and Equations *4-7A Write an Equation Online Lesson 27 Solve Equations of the Form x + p = q pp Use Formulas pp Lesson 21 Write Algebraic Expressions to Record Operations pp Explore Order of Operations with a Calculator pp Problem Solving Strategy: Use More Than One Step pp Lesson 27 Solve Equations of the Form x + p = q pp Problem Solving Applications: Mixed Review pp Lesson 21 Write Algebraic Expressions to Record Operations pp Lesson 27 Solve Equations of the Form x + p = q pp. 230 Copyright William H. Sadlier, Inc. All rights reserved. 6

7 Chapter 5 Integers 5-1 Integers pp Lesson 15 Understand Positive and Negative Numbers and Opposites pp Lesson 16 Locate Points with Rational Coordinates pp. Lesson 18 Understand Absolute Value pp Lesson 19 Problem Solving: The Coordinate Plane pp *5-1A Integers in the Real World Online Lesson 15 Understand Positive and Negative Numbers and Opposites pp Compare and Order Integers pp Lesson 15 Understand Positive and Negative Numbers and Opposites pp Lesson 16 Locate Points with Rational Coordinates pp. *5-2A Use Reasoning to Compare and Order Rational Numbers Online Lesson 17 Compare and Order Rational Numbers pp Lesson 18 Understand Absolute Value pp Lesson 17 Compare and Order Rational Numbers pp Lesson 18 Understand Absolute Value pp Add Integers pp Subtract Integers pp Multiply Integers pp Lesson 18 Understand Absolute Value pp Divide Integers pp Integers and Order of Operations pp Expressions and Equations with Integers pp Temperature pp Lesson 17 Compare and Order Rational Numbers pp Problem Solving Strategy: Make a Table pp Lesson 18 Understand Absolute Value pp Problem Solving Applications: Mixed Review pp Copyright William H. Sadlier, Inc. All rights reserved. 7

8 Chapter 6 Number Theory and Fractions 6-1 Divisibility pp Prime and Composite Numbers pp Prime Factorization pp Equivalent Fractions pp Greatest Common Factor pp *6-5A The Distributive Property and Common Factors Online 6-6 Fractions in Simplest Form pp Mixed Numbers and Improper Fractions pp Lesson 14 Find the Greatest Common Factor and Least Common Multiple pp Fraction Sense pp Lesson 16 Locate Points with Rational Coordinates pp. 6-9 Least Common Multiple pp Lesson 14 Find the Greatest Common Factor and Least Common Multiple pp Compare Fractions pp Order Fractions pp Lesson 16 Locate Points with Rational Coordinates pp. Lesson 17 Compare and Order Rational Numbers pp Relate Fractions to Decimals pp Lesson 16 Locate Points with Rational Coordinates pp Rename Fractions as Decimals pp Rename Decimals as Fractions pp Lesson 16 Locate Points with Rational Coordinates pp Terminating and Repeating Decimals pp Compare and Order Rational Numbers pp Lesson 16 Locate Points with Rational Coordinates pp Problem Solving Strategy: Find a Pattern pp Problem Solving Applications: Mixed Review pp Lesson 17 Compare and Order Rational Numbers pp Copyright William H. Sadlier, Inc. All rights reserved. 8

9 Chapter 7 Fractions: Addition and Subtraction 7-1 Addition Properties: Fractions pp Lesson 24 Generate and Identify Equivalent Expressions pp Estimate Sums and Differences pp Add Fractions pp Add Mixed Numbers pp Subtract Fractions pp Subtract Mixed Numbers pp Mental Math Addition and Subtraction pp Addition and Subtraction Expressions with Fractions pp Addition and Subtraction Equations with Fractions pp Lesson 27 Solve Equations of the Form x + p = q pp Problem Solving Strategy: Work Backward pp Problem Solving Applications: Mixed Review pp Copyright William H. Sadlier, Inc. All rights reserved. 9

10 Chapter 8 Fractions: Multiplication, Division, and Probability 8-1 Multiply Fractions by Fractions pp Multiply Fractions and Whole Numbers pp Properties of Multiplication pp Lesson 24 Generate and Identify Equivalent Expressions pp Multiply Mixed Numbers pp Meaning of Division pp Lesson 9 Divide a Fraction by a Fraction pp *8-5A Dividing with Fractions Online Lesson 10 Problem Solving: Fraction Division pp Divide Fractions by Fractions pp Estimate Quotients of Fractions and Mixed Numbers pp Divide with Whole and Mixed Numbers pp Lesson 9 Divide a Fraction by a Fraction pp Lesson 10 Problem Solving: Fraction Division pp Order of Operations with Fractions pp Lesson 9 Divide a Fraction by a Fraction pp Lesson 10 Problem Solving: Fraction Division pp Lesson 20 Write and Evaluate Numerical Expressions with Exponents pp Fractions and Money pp Multiplication and Division Expressions with Fractions pp Multiplication and Division Equations with Fractions pp Lesson 27 Solve Equations of the Form x + p = q pp Probability pp Compound Events pp Permutations and Combinations pp Predictions and Probability pp Problem Solving Strategy: Use a Diagram pp Problem Solving Applications: Mixed Review pp Lesson 9 Divide a Fraction by a Fraction pp Lesson 10 Problem Solving: Fraction Division pp Copyright William H. Sadlier, Inc. All rights reserved. 10

11 Chapter 9 Data and Statistics 9-1 Surveys pp Samples pp Bias in Surveys pp *9-3A Summarize the Data Online Lesson 40 Summarize Numerical Data pp Record and Interpret Data pp Lesson 40 Summarize Numerical Data pp Apply Measures of Central Tendency and Range pp Lesson 39 Display Numerical Data pp Lesson 40 Summarize Numerical Data pp Analyze Data pp Lesson 36 Understand Statistical Questions and Describe Data pp Lesson 37 Lesson 38 Find the Median and Interquartile Range pp Find the Mean and Mean Absolute Deviation pp Lesson 39 Display Numerical Data pp Lesson 40 Summarize Numerical Data pp *9-6A Statistical Characteristics of a Data Set Online Lesson 36 Understand Statistical Questions and Describe Data pp *9-6B Choosing the Best Measures to Describe Data Online Lesson 40 Summarize Numerical Data pp Box and Whisker Plots pp Lesson 39 Display Numerical Data pp Lesson 40 Summarize Numerical Data pp *9-7A Describe Data Online Lesson 36 Understand Statistical Questions and Describe Data pp Lesson 37 Lesson 38 Find the Median and Interquartile Range pp Find the Mean and Mean Absolute Deviation pp Lesson 39 Display Numerical Data pp Lesson 40 Summarize Numerical Data pp Stem and Leaf Plots pp Lesson 36 Understand Statistical Questions and Describe Data pp Lesson 37 Find the Median and Interquartile Range pp Lesson 39 Display Numerical Data pp Lesson 40 Summarize Numerical Data pp Line Graphs pp Double Line Graphs pp Copyright William H. Sadlier, Inc. All rights reserved. 11

12 Chapter 9 Data and Statistics 9-11 Double Bar Graphs pp Misleading Graphs and Statistics pp Histograms pp Lesson 40 Summarize Numerical Data pp Interpret Circle Graphs pp Problem Solving Strategy: Make an Organized List pp Problem Solving Applications: Mixed Review pp Lesson 40 Summarize Numerical Data pp Copyright William H. Sadlier, Inc. All rights reserved. 12

13 Chapter 10 Geometry 10-1 Measure and Draw Angles pp Lines and Angles pp Angle Pairs pp Angles of Parallel Lines pp Line Constructions pp Constructions with Angles pp Polygons pp Triangles pp Quadrilaterals pp Angles of Triangles and Quadrilaterals pp Angles of Polygons pp Circles pp Congruent and Similar Polygons pp Transformations pp Symmetry pp Tessellations pp Solid Figures pp Lesson 35 Use Nets to Find Surface Area pp Views of Solid Figures pp Problem Solving Strategy: Logical Reasoning pp Problem Solving Applications: Mixed Review pp Copyright William H. Sadlier, Inc. All rights reserved. 13

14 Chapter 11 Ratio, Proportion, and Percent 11-1 Ratio pp Equivalent Ratios pp *11-2A Ratio and Rate Tables Online Lesson 2 Use Ratio Tables to Find Equivalent Ratios pp Lesson 3 Use Ratio Tables to Compare Ratios pp Lesson 8 Problem Solving: Ratios and Rates pp *11-2B Ratios and Unit Rates Online Lesson 1 Understand Ratios and Unit Rates pp Rates pp Lesson 1 Understand Ratios and Unit Rates pp Lesson 4 Solve Unit Rate Problems pp *11-3A Compare Ratios Online Lesson 2 Use Ratio Tables to Find Equivalent Ratios pp Lesson 3 Use Ratio Tables to Compare Ratios pp Lesson 8 Problem Solving: Ratios and Rates pp Proportions pp Lesson 4 Solve Unit Rate Problems pp *11-4A Model Proportions with Double Number Lines Online *11-4B Model Proportions with Tape Diagrams Online 11-5 Solve Proportions pp Write Proportions pp Proportions and Similar Figures pp Use Proportions pp Scale Drawings and Maps pp Relate Percents to Fractions pp Relate Percents to Decimals pp Decimals, Fractions, and Percents pp Percents Greater Than 100% pp Percents Less Than 1% pp Problem Solving Strategy: Combine Strategies pp *11-3A Compare Ratios Online Lesson 4 Solve Unit Rate Problems pp Copyright William H. Sadlier, Inc. All rights reserved. 14

15 Chapter 12 Percent Applications 12-1 Mental Math: Percent pp Lesson 5 Calculate a Percent of a Quantity pp Lesson 6 Find the Whole Given a Part and the Percent pp Percent Sense pp Percentage of a Number pp Lesson 5 Calculate a Percent of a Quantity pp Find the Rate pp Find the Original Number pp Percent Problems pp Discount and Sale Price pp Sales Tax and Total Cost pp Lesson 6 Find the Whole Given a Part and the Percent pp Better Buy pp Lesson 4 Solve Unit Rate Problems pp Commission pp Simple Interest pp Make Circle Graphs pp Problem Solving Strategy: Write an Equation pp Lesson 5 Calculate a Percent of a Quantity pp Lesson 6 Find the Whole Given a Part and the Percent pp Copyright William H. Sadlier, Inc. All rights reserved. 15

16 Chapter 13 Measurement 13-1 Measure Metric Length pp Measure Metric Capacity and Mass pp Lesson 1 Understand Ratios and Unit Rates pp Lesson 7 Convert Measurement Units pp Measure Customary Length pp Measure Customary Capacity and Weight pp Compute Customary Units pp Compute with Time pp Relate Customary and Metric Units pp Lesson 1 Understand Ratios and Unit Rates pp *13-7A Use Proportions to Convert Units Online Lesson 7 Convert Measurement Units pp Perimeter pp Area of Rectangles and Squares pp Lesson 31 Find Areas of Parallelograms and Triangles pp Area of Triangles and Parallelograms pp Lesson 32 Find Areas of Polygons pp Area of Trapezoids pp *13-11A Plane Figures and Area Online Lesson 31 Find Areas of Parallelograms and Triangles pp Lesson 32 Find Areas of Polygons pp Circumference pp Area of a Circle pp *13-13A Use Nets to Find Surface Area Online Lesson 35 Use Nets to Find Surface Area pp Surface Area of Cubes, Rectangular Prisms, and Cylinders pp Surface Area of Pyramids and Triangular Prisms pp Volume of Prisms pp *13-16A Use Partial Cubes to Find Volume Online Lesson 33 Find Volumes of Rectangular Prisms pp *13-16B Volume of a Prism Online Volume of Triangular Prisms and Cylinders pp Volume of Pyramids pp Use Formulas to Solve Problems pp Problem Solving Strategy: Use Drawings / Formulas 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 Two-Step Equations pp Addition and Subtraction Equations with Integers pp Multiplication and Division Equations with Integers pp Functions and Ordered Pairs pp *14-4A Independent and Dependent Variables Online Lesson 30 Represent Relationships Between Variables pp Graph Ordered Pairs pp Lesson 16 Locate Points with Rational Coordinates pp. *14-5A Distances and the Coordinate Plane Online *14-5B Graphing Polygons Online Lesson 34 Lesson 19 Plot and Analyze Polygons in the Coordinate Plane pp Problem Solving: The Coordinate Plane pp Graph Reflections and Translations pp Lesson 16 Locate Points with Rational Coordinates pp. Lesson 34 Plot and Analyze Polygons in the Coordinate Plane pp Graph Rotations pp Lesson 34 Plot and Analyze Polygons in the Coordinate Plane pp *14-7A Model Rates Online Lesson 2 Use Ratio Tables to Find Equivalent Ratios pp Lesson 3 Use Ratio Tables to Compare Ratios pp Lesson 8 Problem Solving: Ratios and Rates pp Graph Functions pp *14-8A Related Variables Online 14-9 Algebraic Patterns pp Problem Solving Strategy: Use More Than One Strategy pp Problem Solving Applications: Mixed Review pp Lesson 30 Lesson 19 Lesson 30 Represent Relationships Between Variables pp Problem Solving: The Coordinate Plane pp Represent Relationships Between Variables pp Copyright William H. Sadlier, Inc. All rights reserved. 17

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