# US_Math 4 1. Operations and Algebraic Thinking 4.OA 2. Number and Operations in Base Ten 4.NBT 3. Number and Operations - Fractions 4.

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1 US_Math 4 1. Operations and Algebraic Thinking 4.OA 1.1 Multiplication of Whole Numbers 4.OA 1.2 Division of Whole Numbers 4.OA 1.3 Factors and Multiples 4.OA 2. Number and Operations in Base Ten 4.NBT 2.1 Concept of Place Value 4.NBT 2.2 Expanded Form and Comparison 4.NBT 2.3 Add and Subtract Whole Numbers 4.NBT 3. Number and Operations - Fractions 4.NF 3.1 Understanding Fractions 4.NF 3.2 Equivalent Fractions 4.NF 3.3 Addition and Subtraction of Fractions 4.NF 3.4 Mixed Numbers and Improper Fractions 4.NF 3.5 Decimals 4.NF 4. Measurement and Data 4.MD 4.1 Metric and Customary Units of Length 4.MD 4.2 Metric and Customary Units of Weight 4.MD 4.3 Metric and Customary Units of Capacity 4.MD 4.4 Conversion between Metric and Customary Systems 4.MD 4.5 Addition and Subtraction of Measurements 4.MD 4.6 Represent and Interpret Data 4.MD 4.7 Geometric Measurement: Angles 4.MD 5. Geometry 4.G 5.1 Parallel and Perpendicular Lines 4.G 5.2 Area and Perimeter 4.G 5.3 Symmetry 4.G US_Math 4 1. Operations and Algebraic Thinking 4.OA 1.1 Multiplication of Whole Numbers 4.OA 1. Tutorial: Multiplication Activity: Multiplication by 2 through MOPS: Factors and Products MOPS: Multiplication Sentence MOPS: Interpreting Multiplication as Comparison MOPS: Word Problems Involving Comparison 7. Tutorial : Learning More on Multiplication

2 MOPS : Multiplication by 1-digit number without Regrouping 9. Tutorial: Multiplication by 10, 100 and Tutorial : Multiplication by 2-Digit Number without Regrouping MOPS : Multiplication by 2-Digit Number without Regrouping 12. Tutorial : Multiplication with Regrouping (a)-MOPS : Multiplication with Regrouping (b)-MOPS: Multiplication 15. Tutorial : Rounding Numbers MOPS: Rounding Off Whole Numbers 17. Tutorial: Properties of Multiplication MOPS: Multiplication and Estimation 19. Tutorial: Multiply One and Two Digit Numbers with Vedic Method 20. Tutorial: Multiplication Using Area/Array Model MOPS: Multiplication Using Special Method 1.2 Division of Whole Numbers 4.OA 1. Tutorial: Division 2. Tutorial: Division 3. Tutorial: Division by MOPS: Division 5. Tutorial: Division using Rectangular Section and Expanded Form MOPS: Division By Special Method MOPS: Division By Area Model 8. Tutorial: Division by 10, 100 and 1, MOPS: Multiplying or Dividing Whole Numbers by Powers of MOPS: Problem Solving (Addition, Subtraction, Multiplication, Division) 1.3 Factors and Multiples 4.OA 1. Tutorial: Factors MOPS: Factors 3. Tutorial: Multiples MOPS: Multiples 5. Tutorial: Even and Odd Numbers MOPS: Even and Odd Numbers 7. Tutorial: Common Factors and Multiples MOPS: Common Factors and Common Multiples 2. Number and Operations in Base Ten 4.NBT 2.1 Concept of Place Value 4.NBT 1. Tutorial: Place Value MOPS: Digits and Place Values of Whole Numbers - Int'l System MOPS: Reading and Writing Multi-digit Whole Number 2.2 Expanded Form and Comparison 4.NBT 1. Tutorial: Expanded Form MOPS: Expanded Notation Int'l system

4 Mops: Fraction as a Collection MOPS: Fraction of a Whole Number 3.5 Decimals 4.NF 1. Tutorial 1: Decimal Fractions 2. Tutorial 2: Decimals and Whole Numbers MOPS: Digit and Place Value of Decimals International 4. Tutorial 1: Expanded Form of Decimals 5. Tutorial 2: Converting Fractions into Decimals MOPS: Conversion (Fraction-decimal), Short Form and Expanded Notation 7. Tutorial 1: Equivalent Decimals 8. Tutorial 2: Comparing and Ordering Decimals MOPS: Conversion (Unlike to Like), Comparing and Arranging Decimals 10. Tutorial: Rounding Decimals MOPS: Rounding Off Decimals 4. Measurement and Data 4.MD 4.1 Metric and Customary Units of Length 4.MD 1. Tutorial: Measurement 2. Tutorial: Metric Measures of Length MOPS: Metric Measures of Length 4. Tutorial: Customary Units of Length MOPS: Customary Units of Length (Conversion and Word Problem) 4.2 Metric and Customary Units of Weight 4.MD 1. Tutorial: Metric Measures of Weight MOPS: Metric Measures of Weight 3. Tutorial: Customary Units of Weight MOPS: Customary Units of Weight (Conversion and Word Problems) 4.3 Metric and Customary Units of Capacity 4.MD 1. Tutorial: Metric Measures of Capacity MOPS: Metric Measures of Capacity 3. Tutorial: Customary Units of Capacity MOPS: Customary Units of Capacity (Conversions and Word Problems) 4.4 Conversion between Metric and Customary Systems 4.MD 1. Tutorial: Conversion between Metric and Customary Systems MOPS: Conversions between Metric and English Systems 4.5 Addition and Subtraction of Measurements 4.MD 1. Tutorial: Addition and Subtraction of Metric Units of Length 2. Tutorial: Addition and Subtraction of Metric Unit of Weight 3. Tutorial: Addition and Subtraction of Metric Units of Capacity MOPS: Addition and Subtraction of Measurements 4.6 Represent and Interpret Data 4.MD 1. Tutorial: Data: Recording and Organization MOPS: Reading and Interpreting Data

5 3. Tutorial: Bar Graphs MOPS: Reading Bar Graphs 4.7 Geometric Measurement: Angles 4.MD 1. Tutorial: Concepts of Angles 2. Tutorial: Constructing an Angle with Protractor 3. Tutorial: Measuring and Classifying Angles MOPS: Concepts of Angles MOPS: Angles MOPS: Measuring and Classifying Angles 5. Geometry 4.G 5.1 Parallel and Perpendicular Lines 4.G 1. Tutorial: Line, Line Segment, Ray and Plane MOPS: Plane, Point, Line segment, Line, Ray 3. Tutorial: Studying Lines MOPS: Parallel, Perpendicular and Intersecting Lines 5.2 Area and Perimeter 4.G 1. Tutorial: Perimeter and Area MOPS: Perimeter and Area of Rectangles and Squares Mops: Studying Area MOPS: Word Problems on Area and Perimeter MOPS: Word Problems: Perimeter and Area of Composite Figures MOPS: Word Problems: Perimeter and Area of Polygons 5.3 Symmetry 4.G 1. Tutorial: Understanding Symmetry MOPS: Understanding Symmetry 3. Tutorial: Number of Lines of Symmetry MOPS: Lines of Symmetry

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P a g e 1 Handout 1 EE442 Spring Semester The Definition of 'db' and 'dbm' A decibel (db) in electrical engineering is defined as 10 times the base-10 logarithm of a ratio between two power levels; e.g.,