Unit 03 - Multiplication of Whole Numbers
In Grade 3, students represented and solved one- and two-step multiplication problems within 100 using arrays, strip diagrams, and equations. Students also determined the unknown whole number in a multiplication equation relating three whole numbers when the unknown is either a missing factor or product. Additionally, students represented multiplication facts by using a variety of approaches. They also recalled facts to multiply up to 10 by 10 with automaticity. Students used strategies and algorithms, including the standard algorithm, to multiply a two-digit number by a one-digit number.
In Grade 4, Students determine products of a number by 10 or 100 using properties of operations (commutative and distributive properties) and place value understandings. Multiple representations of products of 2 two-digit numbers are used (e.g., arrays, area models, or equations), including representing the products for perfect squares through 15 by 15. Grade 4 students use strategies (e.g., mental math, partial products, and the commutative, associative, and distributive properties) and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. These understandings build the students’ capacity to fluently solve one-, two-, and multi-step problems using combinations of addition, subtraction, and multiplication. They also represent problem situations using strip diagrams and equations with a letter standing for the unknown quantity. Students use rounding and compatible numbers to find estimates and justify reasonableness for solutions to problems involving these three operations.
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Products of 10 & 100 (4.4B)
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Lesson 7.1 & Lesson 8.1
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Represent 2-Digit Multiplication (4.4C)
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Embedded in Lessons 8.3 & 8.4
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Strategies for Multiplication by 1-Digit Numbers (4.4D)
- Distributive Property
- Expanded Form
- Partial Products
- Mental Math
- Standard Algorithm
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Lesson 7.3
Lesson 7.4
Lesson 7.5
Lesson 7.6
Lesson 7.8
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Strategies for Multiplying by 2-Digit Numbers (4.4D)
- Area Model
- Partial Products
- Standard Algorithm (Regrouping)
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Lesson 8.3
Lesson 8.4
Lesson 8.5
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Estimating Solutions (4.4G)
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Lesson 7.2 & Lesson 8.2
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One-Step and Two-Step Multiplication (4.4H)
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Lesson 8.6
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Represent Multistep Multiplication (4.5A)
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Lesson 7.7, 8.7 & 11.3
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Parent videos can be seen under each standard.