### Series 7: Multi-Digit Multiplication

Overview:

This series explains how to Multiply Multi-Digit Whole Numbers up to 4-digit by 1-digit and 2-digit by 2-digit, using strategies based on place value and the properties of operations. The lessons in this series also explain how to Illustrate and Explain the calculations by using Equations, and rectangular Arrays/Area Models. Remember, even though these strategies differ from those of the past, they help create deeper thinkers, who truly understand what is happening to the numbers instead of just memorizing a standard algorithm.

Lessons:

• Lesson 1: Multiply by Multiples of 10, 100, & 1,000
• Lesson 2: Multiply using the Area/Array Method
• Lesson 3: Multiply using the Distributive Property
• Lesson 4: Multiply using Partial Products

### Series 8: Division

Overview:

Grade 4 students are required to find quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or utilizing the inverse operation. The inverse operation of division is multiplication. Students will also need to be able to illustrate and explain their work by using equations or models. The following strategies will help you understand how to assist in mastering this standard.

Lessons:

• Lesson 1: Dividing by Multiples of 10, 100, & 1,000
• Lesson 2: Division using Repeated Subtraction
• Lesson 3: Division using the Distributive Property
• Lesson 4: Division using the Box Method

### Series 1: Place Value

Overview:

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This series focuses on reading and writing multi-digit whole numbers using different forms including base-ten numerals (standard form), number names (word form), and expanded form. It also assists in recognizing the difference between value and place value and utilizing that knowledge to compare multi-digit whole numbers and the values within them.

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Lessons:

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• Lesson 1: Place Value vs. Value
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• Lesson 2: Number Forms: Standard, Word, and Expanded Forms
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• Lesson 3: Comparing Multi-Digit Whole Numbers
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• Lesson 4: Comparing Values of Different Digits
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Series Resources:
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### Series 2: Rounding

Overview:

Students in Grade 4 will use their understanding of place value to Round multi-digit whole numbers to any place value. The lessons in this series will explain the process of rounding using place value and how to find original numbers for one that has already been rounded. For students who struggle with identifying the different place values, use a place value chart to help guide them. This way they are focused on the process of rounding instead of which place value is which?

Lessons:

• Lesson 1: Rounding to Any Place Value
• Lesson 2: Finding Unknown Original Numbers

Series Resources:

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