5th Grade Math Course of Study

Transcription

1 5th Grade Math Course of Study August/September Topic 1: Place Value Pacing: 9 Days Focus: decimal place value Standard: 5.NBT.A.1; 5.NBT.A.3a 1-1 Place Value Relationships 1-2 Tenths and Hundredths 1-3 Thousandths 1-4 Decimal Place Value 1-5 Comparing and Ordering Decimals Topic 2: Adding and Subtracting Decimals Focus: addition and subtraction of tenths and hundredths Vocabulary: Commutative Property of Addition, Associative Property of Addition, Compatible Numbers October Topic 3: Multiplying Whole Numbers Focus: Multiplication of whole numbers Standard: 5.NBT.B Mental Math 2-2 Rounding Decimals 2-3 Estimating Sums and Differences 2-4 Modeling Addition and Subtraction of Decimals 2-5 Adding Decimals 2-6 Subtracting Decimals 2-7 Multiple-Step Problems 3-1 Multiplication Properties 3-2 Mutliplying by Powers of Multiplying 2-Digit Numbers by Multiples of Multiplying 2-Digit by 2-Digit Numbers 3-5 Multiplying Greater Numbers 3-6 Draw a Picture and Write an Equation Topic 4: Dividing by 1-digit Divisors Focus: Division of whole numbers by 1-digit divisors Standard: 5.NBT.B Dividing Multiples of 10 and Estimating Quotients 4-3 Reasonableness 4-4 Dividing by 1-Digit Divisors 4-5 Zeros in the Quotient 4-6 More Dividing by 1-Digit Divisors

2 4-7 Draw a Picture and Write and Equation November Topic 5: Dividing by 2-digit Divisors Focus: Division of whole numbers by 1-digit divisors Standard: 5.NBT.B Using Patterns to Divide 5-2 Estimating Quotients with 2-Digit Divisors 5-3 Connecting Models and Symbols 5-4 Dividing by Multiples of Digit Quotients Digit Quotients 5-7 Dividing with Greater Numbers 5-8 Missing or Extra Information Topic 6: Multiplying Decimals Focus: Multiplication of decimals 6-1 Multiplying Decimals by 10, 100 or 1, Estimating the Product of a Decimal and a Whole Number 6-3 Number Sense: Decimal Multiplication 6-4 Models for Multiplying Decimals 6-5 Multiplying a Decimal by a Whole Number 6-6 Multiplying Two Decimals 6-7 Multiple-Step Problems December Topic 7: Dividing Decimals Focus: Division of decimals Vocabulary: Dividend, Divisor, Quotient, Power of Dividing Decimals by 10, 100, or 1, Estimating Decimal Quotients 7-3 Number Sense: Decimal Division 7-4 Dividing by a Whole Number 7-5 Dividing a Whole Number by a Decimal 7-6 Dividing a Decimal by a Decimal 7-7 Multiple-Step Problems January Topic 8: Numerical Expressions, Patterns and Relationships Pacing: 10 days Focus: Order of operations, writing and evaluating expressions, patterns Standard: 5.OA.A.1; 5.OA.A.2 Vocabulary: Order of Operations, Corresponding terms, Variable, Algebraic expression 8-1 Variables and Expressions 8-2 Order of Operations 8-3 Evaluating Expressions

3 8-4 Addition and Subtraction Expressions 8-5 Multiplication and Division Expressions 8-6 Patterns: Extending Tables 8-7 Use Reasoning Topic 9: Adding and Subtracting Fractions Focus: Addition and Subtraction with unlike denominators Standard: 5.NF.A.1; 5.NF.A.2 Vocabulary: Numerator, denominator, benchmark fraction, least common denominator 9-1 Writing to Explain 9-2 Estimating Sums and Differences of Fractions 9-3 Adding Fractions with Unlike Denominators 9-4 Subtracting Fractions with Unlike Denominators 9-5 More Adding and Subtracting Fractions 9-6 Solving Problems with Fractions 9-7 Draw a Picture and Write an Equation February Topic 10: Adding and Subtracting Mixed Numbers Pacing: 8 days Focus: Addition and subtraction of mixed numbers Standard: 5.NF.A.1 Vocabulary: Mixed Number 10-1 Estimating Sums and Differences of Mixed Numbers 10-2 Modeling Addition and Subtraction of mixed Numbers 10-3 Adding Mixed Numbers 10-4 Subtracting Mixed Numbers 10-5 More Adding and Subtracting Mixed Numbers 10-6 Draw a Picture and Write an Equation Topic 11: Multiplying and Dividing Fractions and Mixed Numbers Pacing: 14 days Focus: Multiplying fractions and Mixed numbers Standard: 5.NF.B.4a; 5.NF.B.5a; 5.NF.B.6 March Topic 12: Volume of Solids Pacing: 7 days 11-1 Multiplying Fractions and Whole Numbers 11-2 Multiplication as Scaling 11-3 Estimating Products 11-4 Multiplying Two Fractions 11-5 Area Models 11-6 Multiplying Mixed Numbers 11-7 Multiple Step Problems 11-8 Fractions and Division 11-9 Fractions, Mixed Numbers and Decimals as Quotients Dividing Whole Numbers by Unit Fractions Dividing Unit Fractions by Non-Zero Whole Numbers Draw a Picture and Write an Equation

4 Focus: Volume Concepts Standard: 5.MD.C.3a; 5.MD.C.3b; 5.MD.C.5c; 5.MD.C Models and Volume 12-2 Volume 12-3 Combining Volumes 12-4 Use Objects and Reasoning Topic 13: Units of Measure Focus: Converting customary units of length, capacity, and weight; converting metric units of length, capacity and mass Standard: 5.MD.A.1 Vocabulary: foot, yard, mile, gallon, quart, pint, cup, ounce, ton, pound, centimeter, meter, millimeter, liter, gram kilogram 13-1 Converting Customary Units of Length 13-2 Converting Customary Units of Capacity 13-3 Converting Customary Units of Weight 13-4 Converting Metric Units of Length 13-5 Converting Metric Units of Capacity 13-6 Converting Metric Units of Mass 13-7 Multiple-Step Problems April Topic 14: Data Pacing: 9 days Focus: Represent and interpret data Standard: 5.MD.B.2 Vocabulary: line plots, survey 14-1 Line Plots 14-2 Data from Surveys 14-3 Making Line Plots 14-4 Measurement Data 14-5 Writing to Explain Topic 15: Classifying Plane Figures Pacing: 9 days Focus: Analysis of geometric shapes Standard: 5.G.B.3; 5.G.B Polygons 15-2 Triangles 15-3 Attributes of Quadrilaterals 15-4 Special Quadrilaterals 15-5 Classifying Quadrilaterals 15-6 Make and Test Generalizations May Topic 16: Coordinate Geometry Pacing: 8 days Focus: Graphing on a coordinate grid Standard: 5.G.A.1; 5.G.A.2

5 Vocabulary: coordinate grid, x-axis, y-axis, origin, ordered pair, x-coordinate, y-coordinate 16-1 Ordered Pairs 16-2 Patterns and Graphing 16-3 More Patterns and Graphing 16-4 Graphing Number Patterns 16-5 Work Backward