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Slide 2 Created by: Libby Maccani Slide 3 Educational Concern BIG IDEA: Estimation: Numbers can be approximated by numbers that are close. Numerical calculations can be approximated by replacing numbers with other numbers that are close and easy to compute with mentally. Estimation: Numbers can be approximated by numbers that are close. Numerical calculations can be approximated by replacing numbers with other numbers that are close and easy to compute with mentally. Mathematical Processes: Doing mathematics involves a variety of processes including problem solving, reasoning, communicating, connecting, and representing. Mathematical Processes: Doing mathematics involves a variety of processes including problem solving, reasoning, communicating, connecting, and representing. Slide 4 Educational Concern The rounding process is based on knowing the multiples of 10, 100, and so on. The rounding process is based on knowing the multiples of 10, 100, and so on. Rounding is a process of finding the multiple of 10, 100, or 1,000 closest to a given number. Rounding is a process of finding the multiple of 10, 100, or 1,000 closest to a given number. Objective for this lesson: Students round 2-, 3- and 4- digit whole numbers to the nearest ten, hundred, or thousand by rounding rap and place value. Objective for this lesson: Students round 2-, 3- and 4- digit whole numbers to the nearest ten, hundred, or thousand by rounding rap and place value. Slide 5 Curriculum Standards Slide 6 Review Rounding: To replace a number with a number that tells about how many to the nearest ten, hundred, thousand, and so on. Rounding: To replace a number with a number that tells about how many to the nearest ten, hundred, thousand, and so on. Example: Example: 27 is closer to 30, so we would round it to 30! 27 is closer to 30, so we would round it to 30! Place value: The value given to the place a digit has in a number. Place value: The value given to the place a digit has in a number. 20 21 22 23 24 25 26 27 28 29 30 Slide 7 Rounding Rap ARE YOU READY TO RAP? FOLLOW ALONG WITH THIS RAP AND YOU WILL BE A PRO AT ROUNDING!! WE ARE GOING TO ROUND 2,372 TO THE NEAREST HUNDRED Slide 8 Find the place value and circle that digit 2,372 We are rounding to the hundreds place, so we are going to circle the number in the hundreds place. Slide 9 Move to the right, Underline get it We are going to look to the right of the number we have circled. The place value next to the hundreds place is the tens place. We are going to underline the number in the tens place. 2,372 Slide 10 0 through 4, Circle stays the same We underlined the 7 in the tens place. If the number we underlined is 0, 1, 2, 3, 0r 4, we leave the number in the circle alone. The number we underlined is a 7, so this step does not apply to us. 2,372 Slide 11 5 through 9, Add 1 in this game We underlined the 7 in the tens place. If the number we underlined is 5, 6, 7, 8, 0r 9 we add 1 to the number in the circle. The number we underlined is a 7, so we add 1 to the number in the circle. 3 + 1 = 4 2,472 Slide 12 Now flex your muscles like a hero, Digits to the right change to ZERO All the digits to the right of the number in the circle, change to ZERO. The tens place and the ones place are to the RIGHT of the hundreds place. So, the 7 and the 2 both change to ZERO. 2,400 Slide 13 All other digits remain the same, YO! Youre a winner at the rounding game! 2,400 The other digits, or the digits to the right of the circle, STAY THE SAME. We do not change those digits or forget to put those digits in the final answer. So in this number, we leave the 2 in the thousands place the same. Slide 14 We just rounded 2,372 to the nearest hundred. The nearest hundred is 2,400. 2,3002,4002,350 2,372 x 2,372 is closer to 2,400 rather than 2,300. Slide 15 Rounding 534 to the nearest TEN 534 Slide 16 Rounding 6,721 to the nearest THOUSAND 6,721 Slide 17 Practice Use the Rounding Rap to round 3,526 to the nearest TEN. Find the place value and circle that digit. Move to the right, underline get it. 0 through 4, circle stays the same. 5 through 9, add one in this game. Now flex your muscles like a hero, digits to the right change to zero. All other digits remain the same, Yo! Youre a winner at the rounding game! Slide 18 What did you get when you rounded 3,526 to the nearest TEN? 3,530 3,520 3,500 30 Slide 19 Next Proble m Next Proble m Slide 20 Try Again! You Can Do It! Try Again! You Can Do It! Back to Question Back to Question Slide 21 Round 5,654 to the nearest THOUSAND 5,700 5,000 6,000 5,650 Slide 22 Next Slide Next Slide Slide 23 Try Again! You Can Do It! Try Again! You Can Do It! Back to Proble m Back to Proble m Slide 24 Things to think about When do we use rounding in our everyday lives? When do we use rounding in our everyday lives? Why do we round numbers? Why do we round numbers? When we round whole numbers, what are we actually doing? When we round whole numbers, what are we actually doing? Read this article: Real-life Life Rounding Experience Real-life Life Rounding Experience Real-life Life Rounding Experience Slide 25 Challenge! Who thinks their group has some great ideas? Who thinks their group has some great ideas? Who wants to present their information to the class tomorrow? Who wants to present their information to the class tomorrow? Decide as a group which ideas are the best Decide as a group which ideas are the best Plan a way to share your thoughts with the class Plan a way to share your thoughts with the class Tomorrow we will hear from the groups and learn more about the importance of rounding!