Common Core Grade 4 Math (Worksheets, Homework, Lesson Plans)

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The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. The Lesson Plans and Worksheets are divided into seven modules.

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Grade 4 Homework, Lesson Plans And Worksheets

Module 1 Topics and Objectives
A. Place Value of Multi-Digit Whole Numbers Standard: 4.NBT.1, 4.NBT.2, 4.OA.1 Days: 4 Module 1 Overview Topic A Overview Lesson 1: Interpret a multiplication equation as a comparison. (Video Lesson) Lesson 2: Recognize a digit represents 10 times the value of what it represents in the place to its right. (Video Lesson) Lesson 3: Name numbers within 1 million by building understanding of the place value chart and placement of commas for naming base thousand units. (Video Lesson) Lesson 4: Read and write multi-digit numbers using base ten numerals, number names, and expanded form. (Video Lesson)
B. Comparing Multi-Digit Whole Numbers Standard: 4.NBT.2 Days: 2 Topic B Overview Lesson 5: Compare numbers based on meanings of the digits, using >, <, or = to record the comparison. (Video Lesson) Lesson 6: Find 1, 10, and 100 thousand more and less than a given number. (Video Lesson)
C. Rounding Multi-Digit Whole Numbers Standard: 4.NBT.3 Days: 4 Topic C Overview Lesson 7: Round multi-digit numbers to the thousands place using the vertical number line. (Video Lesson) Lesson 8: Round multi-digit numbers to any place using the vertical number line. (Video Lesson) Lesson 9: Use place value understanding to round multi-digit numbers to any place value. (Video Lesson) Lesson 10: Use place value understanding to round multi-digit numbers to any place value using real world applications. (Video Lesson)
Mid-Module Assessment: Topics A-C (review content 1 day, assessment ½ day, return ½ day, remediation or further applications 1 day)
D. Multi-Digit Whole Number Addition Standard: 4. OA.3, 4.NBT.4, 4.NBT.1, 4.NBT.2 Days: 2 Topic D Overview Lesson 11: Use place value understanding to fluently add multi-digit whole numbers using the standard addition algorithm and apply the algorithm to solve word problems using tape diagrams. (Video Lesson) Lesson 12: Solve multi-step word problems using the standard addition algorithm modeled with tape diagrams and assess the reasonableness of answers using rounding. (Video Lesson)
E. Multi-Digit Whole Number Subtraction Standard: 4.OA.3, 4.NBT.4, 4.NBT.1, 4.OA.2 Days: 4 Topic E Overview Lesson 13: Use place value understanding to decompose to smaller units once using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams. (Video Lesson) Lesson 14: Use place value understanding to decompose to smaller units up to 3 times using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams. (Video Lesson) Lesson 15: Use place value understanding to fluently decompose to smaller units multiple times in any place using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams. (Video Lesson) Lesson 16: Solve two-step word problems using the standard subtraction algorithm fluently modeled with tape diagrams and assess the reasonableness of answers using rounding. (Video Lesson)
F. Addition and Subtraction Word Problems Standard: 4.OA.3, 4.NBT.1, 4.NBT.2, 4.NBT.4 Days: 3 Topic F Overview Lesson 17: Solve additive compare word problems modeled with tape diagrams. (Video Lesson) Lesson 18: Solve multi-step word problems modeled with tape diagrams and assess the reasonableness of answers using rounding. (Video Lesson) Lesson 19: Create and solve multi-step word problems from given tape diagrams and equations. (Video Lesson)
End-of-Module Assessment: Topics A-F (review content 1 day, assessment ½ day, return ½ day, remediation or further application 1 day)
Total Number of Instructional Days: 25

Module 2 Topics and Objectives
A. Metric Unit Conversions Standard: 4.MD.1, 4.MD.2 Days: 3 Module 2 Overview Topic A Overview Lesson 1: Express metric length measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric length. (Video Lesson) Lesson 2: Express metric mass measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric mass. (Video Lesson) Lesson 3: Express metric capacity measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric capacity. (Video Lesson)
B. Application of Metric Unit Conversions Standard: 4.MD.1, 4.MD.2 Days: 2 Topic B Overview Lesson 4: Know and relate metric units to place value units in order to express measurements in different units. (Video Lesson) Lesson 5: Use addition and subtraction to solve multi-step word problems involving length, mass, and capacity. (Video Lesson)
End-of-Module Assessment: Topics A-B (assessment ½ day, return ½ day, remediation or further applications 1 day)
Total Number of Instructional Days: 7

Module 3 Topics and Objectives
A. Multiplicative Comparison Word Problems Standard: 4.OA.1, 4.OA.2, 4.MD.3, 4.OA.3 Days: 3 Module 3 Overview Topic A Overview Lesson 1: Investigate and use the formulas for area and perimeter of rectangles. (Video Lesson) Lesson 2: Solve multiplicative comparison word problems by applying the area and perimeter formulas. (Video Lesson) Lesson 3: Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems. (Video Lesson)
B. Multiplication by 10, 100, and 1,000 Standard: 4.NBT.5, 4.OA.1, 4.OA.2, 4.NBT.1 Days: 3 Topic B Overview Lesson 4: Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically. (Video Lesson) Lesson 5: Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns. (Video Lesson) Lesson 6: Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model. (Video Lesson)
C. Multiplication of up to Four Digits by Single-Digit Numbers Standard: 4.NBT.5, 4.OA.2, 4.NBT.1 Days: 5 Topic C Overview Lesson 7: Use place value disks to represent two-digit by one-digit multiplication. (Video Lesson) Lesson 8: Extend the use of place value disks to represent three- and four-digit by one-digit multiplication. (Video Lesson) Lesson 9, Lesson 10: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm. (Video Lesson) (Video Lesson) Lesson 11: Connect the area model and the partial products method to the standard algorithm. (Video Lesson)
D. Multiplication Word Problems Standard: 4.OA.1, 4.OA.2, 4.OA.3, 4.NBT.5 Days: 2 Topic D Overview Lesson 12: Solve two-step word problems, including multiplicative comparison. (Video Lesson) Lesson 13: Use multiplication, addition, or subtraction to solve multi-step word problems. (Video Lesson)
Mid-Module Assessment: Topics A-D (review content 1 day, assessment ½ day, return ½ day, remediation or further applications 1 day)
E. Division of Tens and Ones with Successive Remainders Standard: 4.NBT.6, 4.OA.3 Days: 8 Topic E Overview Lesson 14 Solve division word problems with remainders. (Video Lesson) Lesson 15: Understand and solve division problems with a remainder using the array and area models. (Video Lesson) Lesson 16: Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks. (Video Lesson) Lesson 17: Represent and solve division problems requiring decomposing a remainder in the tens. (Video Lesson) Lesson 18: Find whole number quotients and remainders. (Video Lesson) Lesson 19: Explain remainders by using place value understanding and models. (Video Lesson) Lesson 20: Solve division problems without remainders using the area model. (Video Lesson) Lesson 21: Solve division problems with remainders using the area model. (Video Lesson)
F. Reasoning with Divisibility Standard: 4.OA.4 Days: 4 Topic F Overview Lesson 22: Find factor pairs for numbers to 100 and use understanding of factors to define prime and composite. (Video Lesson) Lesson 23: Use division and the associative property to test for factors and observe patterns. (Video Lesson) Lesson 24: Determine whether a whole number is a multiple of another number. (Video Lesson) Lesson 25: Explore properties of prime and composite numbers to 100 by using multiples. (Video Lesson)
G. Division of Thousands, Hundreds, Tens, and Ones Standard: 4.OA.3, 4.NBT.6, 4.NBT.1 Days: 8 Topic G Overview Lesson 26: Divide multiples of 10, 100, and 1,000 by single-digit numbers. (Video Lesson) Lesson 27: Represent and solve division problems with up to a three-digit dividend numerically and with number disks requiring decomposing a remainder in the hundreds place. (Video Lesson) Lesson 28: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically. (Video Lesson) Lesson 29: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times. (Video Lesson) Lesson 30: Solve division problems with a zero in the dividend or with a zero in the quotient. (Video Lesson) Lesson 31: Interpret division word problems as either number of groups unknown or group size unknown. (Video Lesson) Lesson 32: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9. (Video Lesson) Lesson 33: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends. (Video Lesson)
H. Multiplication of Two-Digit by Two-Digit Numbers Standard: 4.NBT.5, 4.OA.3, 4.MD.3 Days: 5 Topic H Overview Lesson 34: Multiply two-digit multiples of 10 by two-digit numbers using a place value chart. (Video Lesson) Lesson 35: Multiply two-digit multiples of 10 by two-digit numbers using the area model. (Video Lesson) Lesson 36: Multiply two-digit by two-digit numbers using four partial products. (Video Lesson) Lesson 37, Lesson 38: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication. (Video Lesson) (Video Lesson)
End-of-Module Assessment: Topics A-H (review 1 day, assessment ½ day, return ½ day, remediation or further application 1 day)
Total Number of Instructional Days: 43

Module 4 Topics and Objectives
A. Lines and Angles Standard: 4.G.1 Days: 4 Module 4 Overview Topic A Overview Lesson 1: Identify and draw points, lines, line segments, rays, and angles and recognize them in various contexts and familiar figures. (Video Lesson) Lesson 2: Use right angles to determine whether angles are equal to, greater than, or less than right angles. Draw right, obtuse, and acute angles. (Video Lesson) Lesson 3: Identify, define, and draw perpendicular lines. (Video Lesson) Lesson 4: Identify, define, and draw parallel lines. (Video Lesson)
B. Angle Measurement Standard: 4.MD.5, 4.MD.6 Days: 4 Topic B Overview Lesson 5: Use a circular protractor to understand a 1-degree angle as 1/360 of a turn. Explore benchmark angles using the protractor. (Video Lesson) Lesson 6: Use varied protractors to distinguish angle measure from length measurement. (Video Lesson) Lesson 7: Measure and draw angles. Sketch given angle measures and verify with a protractor. (Video Lesson) Lesson 8: Identify and measure angles as turns and recognize them in various contexts. (Video Lesson)
Mid-Module Assessment: Topics A-B (assessment ½ day, return ½ day, remediation or further applications 1 day)
C. Problem Solving with the Addition of Angle Measures Standard: 4.MD.7 Days: 3 Topic C Overview Lesson 9: Decompose angles using pattern blocks. (Video Lesson) Lesson 10, Lesson 11: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure. (Video Lesson) (Video Lesson)
D. Two-Dimensional Figures and Symmetry Standard: 4.G.1, 4.G.2, 4.G.3 Days: 5 Topic D Overview Lesson 12: Recognize lines of symmetry for given two-dimensional figures; identify line-symmetric figures and draw lines of symmetry. (Video Lesson) Lesson 13: Analyze and classify triangles based on side length, angle measure, or both. (Video Lesson) Lesson 14: Define and construct triangles from given criteria. Explore symmetry in triangles. (Video Lesson) Lesson 15: Classify quadrilaterals based on parallel and perpendicular lines and the presence or absence of angles of a specified size. (Video Lesson) Lesson 16: Reason about attributes to construct quadrilaterals on square or triangular grid paper. (Video Lesson)
End-of-Module Assessment: Topics A-D (assessment ½ day, return ½ day, remediation or further application 1 day)
Total Number of Instructional Days: 20

Module 5 Topics and Objectives
A. Decomposition and Fraction Equivalence Standard: 4.NF.3, 4.NF.4 Days: 6 Module 5 Overview Topic A Overview Lesson 1, Lesson 2: Decompose fractions as a sum of unit fractions using tape diagrams. (Video Lesson) (Video Lesson) Lesson 3: Decompose non-unit fractions and represent them as a whole number times a unit fraction using tape diagrams. (Video Lesson) Lesson 4: Decompose fractions into sums of smaller unit fractions using tape diagrams. (Video Lesson) Lesson 5: Decompose unit fractions using area models to show equivalence. (Video Lesson) Lesson 6: Decompose fractions using area models to show equivalence. (Video Lesson)
B. Fraction Equivalence Using Multiplication and Division Standard: 4.NF.1, 4.NF.3 Days: 5 Topic B Overview Lesson 7, Lesson 8:Use the area model and multiplication to show the equivalence of two fractions. (Video Lesson) (Video Lesson) Lesson 9, Lesson 10: Use the area model and division to show the equivalence of two fractions. (Video Lesson) (Video Lesson) Lesson 11: Explain fraction equivalence using a tape diagram and the number line, and relate that to the use of multiplication and division. (Video Lesson)
C. Fraction Comparison Standard: 4.NF.2 Days: 4 Topic C Overview Lesson 12, Lesson 13: Reason using benchmarks to compare two fractions on the number line. (Video Lesson) (Video Lesson) Lesson 14, Lesson 15: Find common units or number of units to compare two fractions. (Video Lesson) (Video Lesson)
D. Fraction Addition and Subtraction Standard: 4.NF.3, 4.NF.1, 4.MD.2 Days: 6 Topic D Overview Lesson 16: Use visual models to add and subtract two fractions with the same units. (Video Lesson) Lesson 17: Use visual models to add and subtract two fractions with the same units, including subtracting from one whole. (Video Lesson) Lesson 18: Add and subtract more than two fractions. (Video Lesson) Lesson 19: Solve word problems involving addition and subtraction of fractions. (Video Lesson) Lesson 20, Lesson 21: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12. (Video Lesson) (Video Lesson)
Mid-Module Assessment: Topics A-D (assessment ½ day, return ½ day, remediation or further applications 1 day)
E. Extending Fraction Equivalence to Fractions Greater than 1 Standard: 4.NF.1, 4.NF.2, 4.NF.3, 4.NBT.6, NF.4, 4.MD.4 Days: 7 Topic E Overview Lesson 22: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models. (Video Lesson) Lesson 23: Add and multiply unit fractions to build fractions greater than 1 using visual models. (Video Lesson) Lesson 24, Lesson 25: Decompose and compose fractions greater than 1 to express them in various forms. (Video Lesson) (Video Lesson) Lesson 26: Compare fractions greater than 1 by reasoning using benchmark fractions. (Video Lesson) Lesson 27: Compare fractions greater than 1 by creating common numerators or denominators. (Video Lesson) Lesson 28: Solve word problems with line plots. (Video Lesson)
F. Addition and Subtraction of Fractions by Decomposition Standard: 4.NF.3, 4.MD.4, 4.MD.2 Days: 6 Topic F Overview Lesson 29 Estimate sums and differences using benchmark numbers. (Video Lesson) Lesson 30: Add a mixed number and a fraction. (Video Lesson) Lesson 31: Add mixed numbers. (Video Lesson) Lesson 32: Subtract a fraction from a mixed number (Video Lesson) Lesson 33: Subtract a mixed number from a mixed number. (Video Lesson) Lesson 34: Subtract mixed numbers. (Video Lesson)
G. Repeated Addition of Fractions as Multiplication Standard: 4.NF.4, 4.MD.4, 4.OA.2, 4.MD.2 Days: 6 Topic G Overview Lesson 35, Lesson 36: Represent the multiplication of n times a/b as (n x a)/b using the associative property and visual models. (Video Lesson) (Video Lesson) Lesson 37, Lesson 38: Find the product of a whole number and a mixed number using the distributive property. (Video Lesson)(Video Lesson) Lesson 39: Solve multiplicative comparison word problems involving fractions. (Video Lesson) Lesson 40: Solve word problems involving the multiplication of a whole number and a fraction including those involving line plots. (Video Lesson)
H. Exploration Standard: 4.OA.5 Days: 1 Topic H Overview Lesson 41: Find and use a pattern to calculate the sum of all fractional parts between 0 and 1. Share and critique peer strategies. (Video Lesson)
End-of-Module Assessment: Topics A-H (assessment ½ day, return ½ day, remediation or further applications 1 day)
Total Number of Instructional Days: 45

Module 6 Topics and Objectives
A. Exploration of Tenths Standard: 4.NF.6, 4.NBT.1, 4.MD.1 Days: 3 Module 6 Overview Topic A Overview Lesson 1: Use metric measurement to model the decomposition of one whole into tenths. (Video Lesson) Lesson 2: Use metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers. (Video Lesson) Lesson 3: Represent mixed numbers with units of tens, ones, and tenths with number disks, on the number line, and in expanded form. (Video Lesson)
B. Tenths and Hundredths Standard: 4.NF.5, 4.NF.6, 4.NBT.1, 4.NF.1, 4.NF.7, 4.MD.1 Days: 5 Topic B Overview Lesson 4: Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths. (Video Lesson) Lesson 5: Model the equivalence of tenths and hundredths using the area model and number disks. (Video Lesson) Lesson 6: Use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms. (Video Lesson) Lesson 7: Model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart. (Video Lesson) Lesson 8: Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units. (Video Lesson)
Mid-Module Assessment: Topics A-B (assessment 1 day, return ½ day, remediation or further applications ½ day)
C. Decimal Comparison Standard: 4.NF.7, 4.MD.1, 4.MD.2 Days: 3 Topic C Overview Lesson 9: Use the place value chart and metric measurement to compare decimals and answer comparison questions. (Video Lesson) Lesson 10: Use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =. (Video Lesson) Lesson 11: Compare and order mixed numbers in various forms. (Video Lesson)
D. Addition with Tenths and Hundredths Standard: 4.NF.5, 4.NF.6, 4.NF.3, 4.MD.1 Days: 3 Topic D Overview Lesson 12: Apply understanding of fraction equivalence to add tenths and hundredths. (Video Lesson) Lesson 13: Add decimal numbers by converting to fraction form. (Video Lesson) Lesson 14: Solve word problems involving the addition of measurements in decimal form. (Video Lesson)
E. Money Amounts as Decimal Numbers Standard: 4.MD.2, 4.NF.5, 4.NF.6 Days: 2 Topic E Overview Lesson 15: Express money amounts given in various forms as decimal numbers. (Video Lesson) Lesson 16: Solve word problems involving money. (Video Lesson)
End-of-Module Assessment: Topics A-E (assessment 1 day, return ½ day, remediation or further applications ½ day)
Total Number of Instructional Days: 20

Module 7 Topics and Objectives
A. Measurement Conversion Tables Standard: 4.OA.1, 4.OA.2, 4.MD.1, 4.NBT.5, 4.MD.2 Days: 5 Module 7 Overview Topic A Overview Lesson 1, Lesson 2: Create conversion tables for length, weight, and capacity units using measurement tools, and use the tables to solve problems. (Video Lesson) Lesson 3: Create conversion tables for units of time, and use the tables to solve problems. (Video Lesson) Lesson 4: Solve multiplicative comparison word problems using measurement conversion tables. (Video Lesson) Lesson 5: Share and critique peer strategies. (Video Lesson)
B. Problem Solving with Measurement Standard: 4.OA.2, 4.OA.3, 4.MD.1, 4.MD.2, 4.NBT.5, 4.NBT.6 Days: 6 Topic B Overview Lesson 6: Solve Problems involving mixed units of capacity. (Video Lesson) Lesson 7: Solve problems involving mixed units of length. (Video Lesson) Lesson 8: Solve problems involving mixed units of weight. (Video Lesson) Lesson 9: Solve problem involving mixed units of time. (Video Lesson) Lesson 10, Lesson 11: Solve multi-step measurement word problems. (Video Lesson)
C. Investigation of Measurements Expressed as Mixed Numbers Standard: 4.OA.3, 4.MD.1, 4.MD.2, 4.NBT.5, 4.NBT.6 Days: 3 Topic C Overview Lesson 12, Lesson 13: Use measurement tools to convert mixed number measurements to smaller units. (Video Lesson) Lesson 14: Solve multi-step word problems involving converting mixed number measurements to a single unit. (Video Lesson)
End-of-Module Assessment: Topics A-C (assessment 1 day, ½ day return, remediation or further application ½ day)
D. Year in Review Days: 4 Topic D Overview Lesson 15, Lesson 16: Create and determine the area of composite figures. (Video Lesson) Lesson 17: Practice and solidify Grade 4 fluency. Lesson 18: Practice and solidify Grade 4 vocabulary.
Total Number of Instructional Days: 20

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