Dublin Unified School District (DUSD) Suggested Pacing Guide for 4 th Grade
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1 7 Topic : Numeration Topic Opener - Thousands NS.0, (Gr.3),.0-2 Millions NS. -3 Comparing and Ordering Whole Numbers NS.2-4 Understanding Zeros in Place Value NS.2-5 Problem Solving Make an Organized List MR., SDAP.0 Topic Review Topic Assessment Page of 7 MDC@ACOE (DUSD) 03/8/0
2 Topic 2: Addition and Subtraction Number Sense Topic Opener 2- Number Sense: Understanding Rounding NS Number Sense: Rounding Whole Numbers NS Number Sense: Using Mental Math to Add and Subtract NS 2., Number Sense: Estimating Sums and Differences of Whole Numbers 2-5 Problem Solving: Missing or Extra Information 2-6 Number Sense: Adding Whole Numbers 2-7 Number Sense: Subtracting Whole Numbers NS 2., MR 2.5 MR.,.0, 2.3 NS 3. NS 3., MR 2. NS 3.0, 3. MR Numbers Sense: Subtracting Across Zeros NS Problem Solving: Draw a Picture and Write and Equation NS 3., MR 2.3, 2.4 Topic 2 Review Topic 2 Assessment MR 2.3, 2.4 Page 2 of 7 MDC@ACOE (DUSD) 03/8/0
3 0 Topic 3: Multiplication and Division Meanings and Facts Topic Opener 3- Multiplication: Meanings 3-2 Multiplication: Patterns for Facts NS 3.0 NS 2.2, (Gr. 2) 3-3 Multiplication: Multiplication Properties NS 2.6, (Gr.3) 3-4 Multiplication: 3, 4,6, 7 and 8 as Factors ½ * Partial Product* ½ 3-5 Problem Solving: Look for a Pattern 3-6 Division: Meanings 3-7 Division: Relating Multiplication and Division 3-9 Division: Using Multiplication Facts to Find Division Facts 3-8 Division: Special Quotients 3-0 Problem Solving: Draw a Picture and Write and Equation MR.2, NS 2.2, (Gr.3) MR.,.0, NS 2.2 (Gr. 3) NS 3.0 MR 2.3 NS 3.0 NS 2.3 (Gr. 3), NS 3.0 MR 2.3, 2.4 NS 3.0 Topic 3 Review Topic 3 Assessment Page 3 of 7 MDC@ACOE (DUSD) 03/8/0
4 Topic 4: Multiply by -Digit Numbers Topic Opener 4- Multiplying by Multiples of 0 and Using Mental Math to Multiply NS 2.4 (Gr. 3) NS 2.4 (Gr. 3), AF. 4-3 Using Rounding to Estimate MR Using an Expanded Algorithm *Partial Products* *Generic Area Models* NS 2.4 (Gr. 3) Multiplying 2-Digit by -Digit Numbers NS 2.4 (Gr. 3) 4-6 Multiplying 3-Digit by -Digit Numbers NS 2.4 (Gr. 3) 4-7 Multiplying Greater Numbers by -Digit Numbers 4-8 Problem Solving Reasonableness NS 2.4 (Gr. 3), MR 2. MR 2., 3., NS 2.4 (Gr. 3) Topic 4 Review Topic 4 Assessment Page 4 of 7 MDC@ACOE (DUSD) 03/8/0
5 7 Topic 5: Variables and Expressions 5- Algebra: Variables and Expressions AF., Algebra: Equality AF., Algebra: Expressions with Parentheses AF.2,.0, Algebra: Simplifying Expressions Problem Solving: Act It Out and Use Reasoning Topic 5 Review AF.2,.3,.0, MR 2.3 MR 2.4, 2.0, NS 3.0 Topic 5 Assessment End of Trimester One Page 5 of 7 MDC@ACOE (DUSD) 03/8/0
6 Topic 6: Multiplying 2-Digit Numbers 6- Using Mental Math to Multiply 2-Digit Numbers: Daily Spiral Problem of the day NS Estimating Products NS Arrays and an Expanded Algorithm *Generic Area Models* NS 3.2, Multiplying 2-Digit Numbers by Multiples of Ten NS 3.2, Multiplying 2-Digit by 2-Digit Numbers NS 3.2, Multiplying Greater Numbers by 2-Digit Numbers *Partial Products* *Generic Area Models* 6-7 Problem Solving Two Question Problems Topic 6 Review Topic 6 Assessment NS 3.2, 3.3, 3.0 NS 3.0, MR 2.2, 2.0 Page 6 of 7 MDC@ACOE (DUSD) 03/8/0
7 3 Topic 7: Dividing by -Digit Divisors Topic Opener 7- Division: Using Mental Math 7-2 Division: Estimating Quotients 7-3 Division: Dividing with Remainders * Partial Quotients* 7-4 Division: Connecting Models and Symbols NS 3.0, NS.4, MR 2.5 NS 3.2, 3.4 NS 3.4, MR Division: Dividing 2-Digit by -Digit Numbers NS 3.2, Division: Dividing 3-Digit by -Digit Numbers NS Division: Deciding Where to Start Dividing NS 3.2, Division: Zeros in the Quotient NS 3.2, Division: Number Sense: Factors NS 4., Number Sense: Prime and Composite Numbers NS 4.2, Problem Solving: Multiple Step Problems MR 3.2, 2.5, 3.0 Topic 7 Review Topic 7 Assessment Page 7 of 7 MDC@ACOE (DUSD) 03/8/0
8 9 Topic 8: Lines, Angles, Shapes and Solids ½ Topic Opener and 8- Geometry: Points, Lines and planes MG 3. ½ 8-2 Geometry: Line Segments, Rays and Angles MG 3.5, Geometry: Polygons 8-5 Geometry: Quadrilaterals MG 3.0, Geometry: Triangles MG Geometry: Circles MG Geometry: Solids MG 3.6, 3.0 ½ 8-8 Geometry: Views of Solids: Nets MG 3.6 ½ 8-9 Geometry: Views of Solids: Perspective MG Problem Solving: Make and Test Generalizations MR 3.3, 3.0, MG 3.0 Topic 8 Review Topic 8 Assessment Page 8 of 7 MDC@ACOE (DUSD) 03/8/0
9 2 Topic 9: Fraction Meanings and Concepts ½ Topic Opener NS.5,.7 ½ 9- Regions and Sets NS.5, Fractions and Division NS Equivalent Fractions *Equivalent Forms of One* 9-4 Fractions in Simplest Form *Prime Factorization* *Decomposition* NS.5 NS Improper Fractions and Mixed Numbers NS.5, Comparing Fractions NS Ordering Fractions NS Problem Solving Writing to Explain MR 2.3, 2.4, NS.5 Topic 9 Review Topic 9 Assessment Page 9 of 7 MDC@ACOE (DUSD) 03/8/0
10 8 Topic 0: Addition and Subtraction of Fractions 2 Topic Opener 0- Fractions: Adding and Subtracting Fractions with Like Denominators 0-2 Fractions: Adding Fractions with Unlike Denominators *Equivalent Forms of One* NS 2.3 (Gr. 5) NS 2.3 (Gr. 5) Fractions: Subtracting Fractions with Unlike Denominators NS 2.3 (Gr. 5) 0-4 Problem Solving: Draw a Picture and Write an Equation MR 2.3, AF.0, NS 2.3 (Gr. 5) Topic 0 Review Topic 0 Assessment Page 0 of 7 MDC@ACOE (DUSD) 03/8/0
11 7 Topic : Fraction and Decimal Components Topic Opener and - Decimals: Place Value NS.0-2 Decimals: Comparing and Ordering NS.2-3 Fractions: Fractions and Decimals NS.6,.0 ½ -4 Fractions: Fractions and Decimals on the Number Line NS.7 ½ -5 Fractions: Mixed Numbers and Decimals on the Number Line NS.9,.7-6 Problem Solving: Use Objects and Make a Table MR 2.3, 2.0, NS.5 Topic Review Topic Assessment Page of 7 MDC@ACOE (DUSD) 03/8/0
12 7 Topic 2: Operations with Decimals Topic Opener and 2- Rounding Decimals NS Estimating Sums and Differences of Decimals NS 2. ½ 2-3 Modeling Addition & Subtraction of Decimals NS 2.0 ½ 2-4 Adding and Subtracting Decimals NS Multiplying and Dividing with Decimals NS 2. (Gr. 5) 2-6 Problem Solving Try, Check and Revise MR 2.6, NS 3.0 Topic 2 Review Topic 2 Assessment End of Trimester Two Page 2 of 7 MDC@ACOE (DUSD) 03/8/0
13 6 Topic 3: Solving Equations 3- Algebra: Equal or Not Equal AF 2., 2.0, 2.2 ½ 3-2 Algebra: Solving Addition and Subtraction Equations AF 2., 2.0 ½ 3-3 Algebra: Solving Multiplication and Division Equations AF 2.2, Algebra: Translating Words to Equations AF.,.0 Problem Solving: Work Backward Topic 3 Review MR., 3.2, NS 3.0 Topic 3 Assessment 5 Topic 4: Integers ½ 4- Understanding Integers NS.8 ½ 4-2 Counting Integers NS Ordering Integers NS Problem Solving: Draw a Picture Topic 4 Review Topic 4 Assessment MR 2.3, NS 3., MR 2.0, 3.2 Page 3 of 7 MDC@ACOE (DUSD) 03/8/0
14 0 Topic 5: Measurement, Perimeter and Area Topic Opener 5- Measurement: Customary Measure 5-2 Measurement: Metric Measures 5-3 Measurement: Perimeter 5-4 Measurement: Area of Squares and Rectangles 5-5 Measurement: Area of Irregular Shapes MG.4 (3 rd Grade) MG.4 (3 rd Grade) MG.4,.0, AF.4 MG.,.0,.4, AF.4 MG.4,.0,., AF Measurement: Same Perimeter, Different Areas MG.3, Measurement: Same Area Different Perimeter MG.2, Problem Solving MR.2,.0, 2.3, MG.0 Topic 5 Review Topic 5 Assessment Page 4 of 7 MDC@ACOE (DUSD) 03/8/0
15 8 Topic 6: Data and Graphs Topic Opener and 6- Statistics: Data from Surveys SDAP., Statistics: Interpreting Graphs SDAP.3, Statistics: Line Plots 6-4 Statistics: Mean SDAP.2,.0,. SDAP. (Gr. 5) Statistics: Median, Mode and Range SDAP.2, Problem Solving: Make a Graph Topic 6 Review MR 2.3, SDAP.3 Topic 6 Assessment 6 Topic 7: Length and Coordinates Topic Opener 7- Geometry: Ordered Pairs MG Geometry: Shapes on Coordinate Grids MG Geometry: Lengths of Horizontal and Vertical Line Segments MG 2.2, Problem Solving: Solve a Simpler Problem Topic 7 Review Topic 7 Assessment MR 2.2, MG 2.0 Page 5 of 7 MDC@ACOE (DUSD) 03/8/0
16 8 Topic 8: Formulas and Equations Topic Opener and 8- Formulas and Equations AF.4,.0, Addition and Subtraction, Patterns and Equations 8-3 Multiplication and Division, Patterns and Equations AF.5,., (Gr. 5) AF.5,.0, (Gr. 5) 8-4 Graphing Equations MG 2., More Graphing Equations MG 2., Problem Solving: Make a Table MR 2.3, SDAP.0 Topic 8 Review Topic 8 Assessment 6 Topic 9: Congruence and Symmetry Topic Opener and 9- Geometry: Congruent Figures MG 3.3 Geometry: Line Symmetry MG 3.4 Geometry: Rotational Symmetry MG 3.4, 3.5 Problem Solving: Draw a Picture Topic 9 Review Topic 9 Assessment MR 2.2, 2.0, MG 3.0 Page 6 of 7 MDC@ACOE (DUSD) 03/8/0
17 6 Topic 20: Probability 20- Finding Combinations SDAP Outcomes and Tree Diagrams SDAP Writing Probability as a Fraction 20-4 Problem Solving Use Reasoning Topic 20 Review SDAP 2.2, SDAP 2.0 MR 3., MR 2.6, SDAP.0 Topic 20 Assessment End of Trimester Three Page 7 of 7 MDC@ACOE (DUSD) 03/8/0
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