Rounding Procedural Lesson Grade 4 Unit 1 Lesson 4 MC: 4.NBT.3 MPs Applied MP * Embedded MP 1 2 3 4 5 6 7 8 * * * * * Student Journal Pages Problem of the Day 25-32 Objective: Today, I will round multi-digit whole numbers. Vocabulary Rounding: replace the number being rounded with a number that tells about how many Example: 7,684,034 rounds to 8,000,000 MILLIONS PERIOD THOUSANDS PERIOD Digit: any single numeral from 0 to 9 approximately or about ONES PERIOD H T O H T O H T O Teacher Resources Considerations: This lesson includes rounding with 9s. Rounding was taught in 3rd grade to tens and hundreds. Steps: 1. Underline the digit in the indicated place (tens, hundreds, etc.). 2. Circle the digit to the right of the underlined place. 3. If the circled digit is 5 or greater, add one to the underlined place and change all digits to the right to zeroes. 4. If the circled digit is 4 or less, keep the underlined place the same and change all digits to the right to zeroes. 5. "Bring down" any digits to the left of the rounded digit. +1 179,301 180,000 Application of MPs: MP1: MP2: How do you know your answer makes sense? I know my answer makes sense because if I use a number line I see that my number is closer to than. How can you apply rounding to real life? I can apply rounding in life when I'm.
Answer Key Answer Key: I/M SGP FCU SP CP HW 1. 400,000 1. 1,410,000 1. 9,700,000 1. 10,000,000 1. b 1. 5,780,000 2. 7,000,000 tickets 2. $310,000 2. 3,000,000 bottles 2. 5,249,120 2. d 2. 7,200,000 EXT: 3. 588,000 3. 3,462,100 2,000 (check 4. 252,700 number line) 4. 1,866,000 5. 590,000 cans 5. 6,000,000 6. 2,000,000 lamps 6. 3,280,000 paper clips 7. 7,000,000 beads Sample Response to MP questions: MP1: MP2: How do you know your answer makes sense? I know my answer makes sense because if I use a number line I see that my number is closer to than. [Response depends on the problem. E.g. I/M #1: I know my answer makes sense because if I use a number line I see that my number is closer 400,000 than 300,000.] How can you apply rounding to real life? I can apply rounding in life when I'm trying to get a general idea of how many people live in my city or county.
Input / Model (Teacher Presents) *MP1: Make sense of the problem and persevere in solving it! *MP8: Find a strategy to help solve the problem. Directions: Round each number to the indicated place value. 1. Round to the nearest hundred thousand. 385,395 1. Underline the digit in the indicated place (tens, hundreds, etc.). 2. Circle the digit to the right of the underlined place. 3. If the circled digit is 5 or greater, add one to the underlined place and change all digits to the right to zeroes. 4. If the circled digit is 4 or less, keep the underlined place the same and change all digits to the right to zeroes. 5. "Bring down" any digits to the left of the rounded digit. +1 385,395 400,000 2. A baseball stadium sold 7,286,938 tickets in one season. Approximately how many tickets were sold if they rounded to the nearest million? MP1: How do you know your answer makes sense? MP2: How can you apply rounding to real life? 1. Underline the digit in the indicated place (tens, hundreds, etc.). 2. Circle the digit to the right of the underlined place. 3. If the circled digit is 5 or greater, add one to the underlined place and change all digits to the right to zeroes. 4. If the circled digit is 4 or less, keep the underlined place the same and change all digits to the right to zeroes. 5. "Bring down" any digits to the left of the rounded digit. 7,286,938 7,000,000
Structured Guided Practice (A / B Partners Practice) Directions: Round each number to the indicated place value. 1. Round to the nearest ten thousand. 1,413,109 2. Pete s Hot Dogs made $309,508 last month. About how much money did they make rounded to the nearest thousand? MP1: How do you know your answer makes sense? MP2: How can you apply rounding to real life?
Final Check for Understanding (Teacher Checks Work) Directions: Round each number to the indicated place value. 1. Round to the nearest hundred thousand. 9,653,102 2. A soda factory manufactures 2,725,128 bottles of soda over a month span. To the nearest million, how many bottles of soda do they manufacture?
Student Practice Unit 1 Lesson 4: Rounding Name: Date: Directions: Round each number to the indicated place value. 1. Round to the nearest million. 9,524,084 2. Round to the nearest ten. 5,249,121 3. Round to the nearest thousand. 588,232
Student Practice Unit 1 Lesson 4: Rounding 4. A stamp club has collected 252,675 stamps. Rounded to the nearest hundred, how many stamps have they collected? 5. Andres and Phi have been collecting cans for 2 years. They have collected a total of 587,342 cans. Rounded to the nearest ten thousand, how many cans have they collected? 6. A furniture store is selling lamps. They have 1,728,327 lamps in their warehouse. Approximately, how many lamps do they have rounded to the nearest million?
Challenge Problems Directions: Read and solve each question. 1. Mike collected 102,976 marbles and Nathan collected 102,715 marbles. About how many marbles did they collect combined? Round to the nearest hundred thousand. a. 100,000 marbles b. 200,000 marbles c. 300,000 marbles 2. Last year an amusement park had 236,208 visitors in the month of June, 487,318 in July, and 396,597 in August. About how many visitors went to the amusement park during these three summer months? Round to the nearest hundred thousand. a. 12,000,000 b. 900,000 c. 1,300,000 d. 1,100,000 Extension Activity *MP4: Apply mathematics in everyday life. Place 1,631 on the number line below. 1000 2000 Round 1,631 to the nearest thousand.
Closure Reaching Consensus *MP3: Do you agree/disagree with what said? Student Presentations *MP6: How do you know your answers are correct/reasonable? Closure Recap today s lesson with one or more of the following questions: MP1: How do you know your answer makes sense? MP2: How can you apply rounding to real life?
Homework Unit 1 Lesson 4: Rounding Name: Date: Directions: Round each number to the indicated place value. Example: Round to the nearest million. 8,676,956 +1 8,676,956 rounds to 9,000,000 Steps 1. Underline the digit in the indicated place (tens, hundreds, etc.). 2. Circle the digit to the right of the underlined place. 3. If the circled digit is 5 or greater, add one to the underlined place and change all digits to the right to zeroes. 4. If the circled digit is 4 or less, keep the underlined place the same and change all digits to the right to zeroes. 5. "Bring down" any digits to the left of the rounded digit. 1. Round to the nearest ten thousand. 5,784,332 2. Round to the nearest hundred thousand. 7,243,965 3. Round to the nearest ten. 3,462,099
Homework Unit 1 Lesson 4: Rounding 4. Round to the nearest thousand. 1,866,441 5. Round to the nearest million. 5,503,148 6. A paper clip company has made a total of 3,279,380 paper clips. Rounded to the nearest ten thousand, how many paper clips have they made in total? 7. The craft store has a total of 6,802,890 beads. Rounded to the nearest million, how many beads does the craft store have?
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