EngageNY - Module 3
Module 3 Multi-Digit Multiplication and Division
In this module, students use place value understanding and visual representations to solve multiplication and division problems with multi-digit numbers. As a key area of focus for Grade 4, this module moves slowly but comprehensively to develop students’ ability to reason about the methods and models chosen to solve problems with multi-digit factors and dividends.
Topic A: Multiplicative Comparison Word Problems
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 1: Investigate and use the formulas for area and perimeter of rectangles.
Video - Module 3 Lesson 1
Lesson 2: Solve multiplicative comparison word problems by applying the area and perimeter formulas.
Video - Module 3 Lesson 2
Lesson 3: Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems.
Video - Module 3 Lesson 3
Topic B: Multiplication by 10, 100, and 1,000
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Lesson 4: Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.
Video - Module 3 Lesson 4
Lesson 5: Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns.
Video - Module 3 Lesson 5
Lesson 6: Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.
Video - Module 3 Lesson 6
Topic C: Multiplication of up to Four Digits by Single-Digit Numbers
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Lesson 7: Use place value disks to represent two-digit by one-digit multiplication.
Video - Module 3 Lesson 7
Lesson 8: Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.
Video - Module 3 Lesson 8
Lesson 9: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.
Video - Module 3 Lesson 9
Lesson 10: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.
Video - Module 3 Lesson 10
Lesson 11: Connect the area model and the partial products method to the standard algorithm.
Video - Module 3 Lesson 11
Topic D: Multiplication Word Problems
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Lesson 12: Solve two-step word problems, including multiplicative comparison.
Video - Module 3 Lesson 12
Lesson 13: Use multiplication, addition, or subtraction to solve multi-step word problems.
Video - Module 3 Lesson 13
Topic E: Division of Tens and Ones with Successive Remainders
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 14: Solve division word problems with remainders.
Video - Module 3 Lesson 14
Lesson 15: Understand and solve division problems with a remainder using the array and area models.
Video - Module 3 Lesson 15
Lesson 16: Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks.
Video - Module 3 Lesson 16
Lesson 17: Represent and solve division problems requiring decomposing a remainder in the tens.
Video - Module 3 Lesson 17
Lesson 18: Find whole number quotients and remainders.
Video - Module 3 Lesson 18
Lesson 19: Explain remainders by using place value understanding and models.
Video - Module 3 Lesson 19
Lesson 20: Solve division problems without remainders using the area model.
Video - Module 3 Lesson 20
Lesson 21: Solve division problems with remainders using the area model.
Video - Module 3 Lesson 21
Topic F: Reasoning with Divisibility
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 22: Find factor pairs for numbers to 100 and use understanding of factors to define prime and composite.
Video - Module 3 Lesson 22
Lesson 23: Use division and the associative property to test for factors and observe patterns.
Video - Module 3 Lesson 23
Lesson 24: Determine whether a whole number is a multiple of another number.
Video - Module 3 Lesson 24
Lesson 25: Explore properties of prime and composite numbers to 100 by using multiples.
Video - Module 3 Lesson 25
Topic G: Division of Thousands, Hundreds, Tens, and Ones
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 26: Divide multiples of 10, 100, and 1,000 by single-digit numbers.
Video - Module 3 Lesson 26
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 - Module 3 Lesson 27
Lesson 28: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.
Video - Module 3 Lesson 28
Lesson 29: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.
Video - Module 3 Lesson 29
Lesson 30: Solve division problems with a zero in the dividend or with a zero in the quotient.
Video - Module 3 Lesson 30
Lesson 31: Interpret division word problems as either number of groups unknown or group size unknown.
Video - Module 3 Lesson 31
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 - Module 3 Lesson 32
Lesson 33: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.
Video - Module 3 Lesson 33
Topic H: Multiplication of Two-Digit by Two-Digit Numbers
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 34: Multiply two-digit multiples of 10 by two-digit numbers using a place value chart.
Video - Module 3 Lesson 34
Lesson 35: Multiply two-digit multiples of 10 by two-digit numbers using the area model.
Video - Module 3 Lesson 35
Lesson 36: Multiply two-digit by two-digit numbers using four partial products.
Video - Module 3 Lesson 36
Lesson 37: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.
Video - Module 3 Lesson 37
Lesson 38: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.
Video - Module 3 Lesson 38
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 1: Investigate and use the formulas for area and perimeter of rectangles.
Video - Module 3 Lesson 1
Lesson 2: Solve multiplicative comparison word problems by applying the area and perimeter formulas.
Video - Module 3 Lesson 2
Lesson 3: Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems.
Video - Module 3 Lesson 3
Topic B: Multiplication by 10, 100, and 1,000
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 4: Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.
Video - Module 3 Lesson 4
Lesson 5: Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns.
Video - Module 3 Lesson 5
Lesson 6: Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.
Video - Module 3 Lesson 6
Topic C: Multiplication of up to Four Digits by Single-Digit Numbers
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 7: Use place value disks to represent two-digit by one-digit multiplication.
Video - Module 3 Lesson 7
Lesson 8: Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.
Video - Module 3 Lesson 8
Lesson 9: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.
Video - Module 3 Lesson 9
Lesson 10: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.
Video - Module 3 Lesson 10
Lesson 11: Connect the area model and the partial products method to the standard algorithm.
Video - Module 3 Lesson 11
Topic D: Multiplication Word Problems
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 12: Solve two-step word problems, including multiplicative comparison.
Video - Module 3 Lesson 12
Lesson 13: Use multiplication, addition, or subtraction to solve multi-step word problems.
Video - Module 3 Lesson 13
Topic E: Division of Tens and Ones with Successive Remainders
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 14: Solve division word problems with remainders.
Video - Module 3 Lesson 14
Lesson 15: Understand and solve division problems with a remainder using the array and area models.
Video - Module 3 Lesson 15
Lesson 16: Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks.
Video - Module 3 Lesson 16
Lesson 17: Represent and solve division problems requiring decomposing a remainder in the tens.
Video - Module 3 Lesson 17
Lesson 18: Find whole number quotients and remainders.
Video - Module 3 Lesson 18
Lesson 19: Explain remainders by using place value understanding and models.
Video - Module 3 Lesson 19
Lesson 20: Solve division problems without remainders using the area model.
Video - Module 3 Lesson 20
Lesson 21: Solve division problems with remainders using the area model.
Video - Module 3 Lesson 21
Topic F: Reasoning with Divisibility
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 22: Find factor pairs for numbers to 100 and use understanding of factors to define prime and composite.
Video - Module 3 Lesson 22
Lesson 23: Use division and the associative property to test for factors and observe patterns.
Video - Module 3 Lesson 23
Lesson 24: Determine whether a whole number is a multiple of another number.
Video - Module 3 Lesson 24
Lesson 25: Explore properties of prime and composite numbers to 100 by using multiples.
Video - Module 3 Lesson 25
Topic G: Division of Thousands, Hundreds, Tens, and Ones
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 26: Divide multiples of 10, 100, and 1,000 by single-digit numbers.
Video - Module 3 Lesson 26
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 - Module 3 Lesson 27
Lesson 28: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.
Video - Module 3 Lesson 28
Lesson 29: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.
Video - Module 3 Lesson 29
Lesson 30: Solve division problems with a zero in the dividend or with a zero in the quotient.
Video - Module 3 Lesson 30
Lesson 31: Interpret division word problems as either number of groups unknown or group size unknown.
Video - Module 3 Lesson 31
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 - Module 3 Lesson 32
Lesson 33: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.
Video - Module 3 Lesson 33
Topic H: Multiplication of Two-Digit by Two-Digit Numbers
Math News Parent Resource - Courtesy of Lafayette Schools
Lesson 34: Multiply two-digit multiples of 10 by two-digit numbers using a place value chart.
Video - Module 3 Lesson 34
Lesson 35: Multiply two-digit multiples of 10 by two-digit numbers using the area model.
Video - Module 3 Lesson 35
Lesson 36: Multiply two-digit by two-digit numbers using four partial products.
Video - Module 3 Lesson 36
Lesson 37: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.
Video - Module 3 Lesson 37
Lesson 38: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.
Video - Module 3 Lesson 38
