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Module 1 Lesson 4 Place Value, Rounding, and Algorithms for Addition and Subtraction Topic: place value of multi-digit whole numbers 4.nbt.1 4.nbt.2 4.oa.1 This PowerPoint was developed by Beth Wagenaar and Katie E. Perkins. The material on which it is based is the intellectual property of Engage NY.

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Topic: Place Value of Multi-Digit Whole Numbers Objective: Read and write multi-digit numbers using base ten numerals, number names, and expanded form Lesson 4

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Skip Counting Fluency 3 Minutes Count by fours forward and backward to 48, focusing on the crossing ten transitions. Lesson 4

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Place Value Fluency 4 Minutes Lesson 4 MillionsHundred thousands Ten thousands ThousandsHundredsTensOnes Say the number in unit form. Say the number in standard form. 500 0 00

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Place Value Fluency 4 Minutes Lesson 4 MillionsHundred thousands Ten thousands ThousandsHundredsTensOnes 500 0 03 Say the number in unit form. Say the number in standard form.

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Place Value Fluency 4 Minutes Lesson 4 MillionsHundred thousands Ten thousands ThousandsHundredsTensOnes 503 0 00 Say the number in unit form. Say the number in standard form.

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Place Value Fluency 4 Minutes Lesson 4 MillionsHundred thousands Ten thousands ThousandsHundredsTensOnes 03 0 05 Say the number in unit form. Say the number in standard form.

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Place Value Fluency 4 Minutes Lesson 4 MillionsHundred thousands Ten thousands ThousandsHundredsTensOnes 03 5 001 Say the number in unit form. Say the number in standard form.

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Place Value Fluency 4 Minutes Lesson 4 MillionsHundred thousands Ten thousands ThousandsHundredsTensOnes 05 0 324 Say the number in unit form. Say the number in standard form.

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Base Hundred Units Say the numbers below in standard form. 3 hundreds = 9 hundreds = 537 hundreds = 864 hundreds = 30 hundreds = 10 hundreds = 21 hundreds = 33 hundreds = 19 hundreds = Lesson 4

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Base Thousand Units Say the numbers below in standard form. 5 thousands = 9 thousands = 537 thousands = 347 thousands = 220 thousands = 10 thousands = 100 thousands = 20 thousands = 10 thousands = Lesson 4

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Base Ten Thousand Units Say the numbers below in standard form. 7 ten thousands = 9 ten thousands = 467 ten thousands = 521 ten thousands = 962 ten thousands = 12 ten thousands = 200 ten thousands = 40 ten thousands = 17 ten thousands = Lesson 4

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Base Hundred Thousand Units Say the numbers below in standard form. 4 hundred thousands = 8 hundred thousands = 92 hundred thousands = 618 hundred thousands = 854 hundred thousands = 18 hundred thousands = 500 hundred thousands = 70 hundred thousands = 19 hundred thousands = Lesson 4

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Application Problem 6 Minutes Hundred thousands Ten thousands ThousandsHundredsTensOnes There are about forty-one thousand Asian elephants and about four hundred seventy thousand African elephants left in the world. About how many Asian and African elephants are left in total? Lesson 4

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Application Problem 6 Minutes There are about forty-one thousand Asian elephants and about four hundred seventy thousand African elephants left in the world. About how many Asian and African elephants are left in total? Lesson 4

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Concept Development 26 Minutes Materials: Personal white boards Lesson 4

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Problem 1 Write a four-digit number in expanded form. 1,708 Hundred thousands Ten thousands ThousandsHundredsTensOnes On your place value chart write the following number: 1,708. What is the value of the 1? 1,000. What is the value of the 7?. What is the value of the 0?. What is the value of the 8? 7008 What is the value of 1,000 and 700 and 8? So 1,708 is the same as 1,000 plus 700 plus 8. Write a number sentence to show that equation. 1,000 + 700 + 8 = 1,708 Lesson 4

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Problem 2 Write a five-digit number in expanded form. 27,085 Hundred thousands Ten thousands ThousandsHundredsTensOnes 7,000 80 5 Why is there no term representing the hundreds? With your partner write an addition sentence. Now read the expanded sentence with me. You said, “twenty-seven thousand, eighty five.” What did you notice about where I placed a comma in both the standard form and the word form? 20,000 Show the value of each digit at the bottom of your place value chart. Lesson 4

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Problem 3 Transcribe a number in word form to standard and expanded form. Two hundred seventy thousand, eight hundred fifty Hundred thousands Ten thousands ThousandsHundredsTensOnes Read this number. Tell your partner how you can match the word form to the standard form? Everything you say, you should write in words. The comma helps to separate the numbers in the thousands from the numbers in the hundreds, tens, and ones. Write this number in your place value chart. Now, write this number in expanded form. Tell your partner your equation. 200,000 + 70,000 + 800 + 50 equals 270,850. Repeat with sixty-four thousand, three. Lesson 4

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Problem 4 Convert a number in expanded form to word and standard form. 700,000 + 8,000 + 500 + 70 + 3 Hundred thousands Ten thousands ThousandsHundredsTensOnes 78,573 Read this number statement. On your own, write this number in your place value chart. Seven hundred eight thousand, five hundred seventy-three. Repeat with 500,000 + 30,000 + 10 + 3. 7 0 8, 5 7 3 My sum is 78,573. Compare your sum with mine. Read this number in standard form with me. Write this number in words. Remember to check for correct use of commas and hyphens. Lesson 4 Your 7 is in the wrong place! The value of 7 is 700,000. You have it as 70,000.

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Problem Set 10 Minutes Lesson 4

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Student Debrief Lesson Objective: Read and write multi-digit numbers using base ten numerals, number names, and expanded form. Compare the numbers in Problems 1 and 2. What do you notice? As you completed the chart on Page 2, what number words were tricky to write? Which number words can be confused with other number words? Why? What strategies did you use to spell number words? Timothy and his dad read a number word in two ways. What other numbers can be read more than one way? Which way of reading a number best helps you solve? When? Two students discussed the importance of zero. Nate said that zero is not important, while Jill said that zero is extremely important. Who is right? Why do you think so? What role can zero play in a number? How is expanded form related to the standard form of a number? When might you use expanded form to solve? 15 minutes Lesson 4

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Exit Ticket Lesson 4

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Home work! !

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