Unit 4 lesson 17
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This document provides a lesson on solving sequence problems using Singapore bar models. It introduces consecutive numbers and examples. Students are asked to draw a picture to represent a story involving a bathtub of jello falling from a plane. The jello splits into more pieces at each mile, following a pattern of doubling. Students are then given practice problems to find three or four consecutive numbers that add up to a given total.
Unit 4 lesson 17
- 1. UNIT 4 LESSON 16 Objective: Today we will learn how to solve for numbers in a sequence using Singapore Bar Models
- 2. FIRST THE PRELIMINARIES Noticing Patterns
- 3. Try to follow this story and draw a picture to represent the story • A bathtub full of Jello is traveling on a plane, 6 miles above the city • There is a man sitting in the park feeding birds • The jello is tipped out of the bathtub and fell out of the door of the plane • After falling 1 mile the jello splits into 2 parts • After falling the second mile, each of the 2 pieces splits into another 2 pieces. • If this pattern continues all the way down, how many little jello pieces will fall on the man? • Will it hurt very much?
- 4. Mile 1 Mile 2 Mile 3 Mile 4 16 Mile 5 32 Mile 6 64 What’s the pattern? 2n
- 5. CONSECUTIVE NUMBERS Numbers in a sequence are called consecutive numbers The age you were in 6th grade, now in 7th, and will be in 8th grade are considered to be consecutive numbers
- 7. EXAMPLES OF CONSECUTIVE NUMBERS 2, 3, 4 12, 13, 14 100, 101, 102 999, 1000, 1001
- 8. TAKE THE CHALLENGE! Consecutive Even numbers… 2,4,6 Consecutive Odd numbers 3,5,7 Consecutive Prime numbers 7,11,13 Consecutive Perfect squares 4,9,16
- 9. 10,11,and 12 are consecutive numbers that add up to 33. Another three consecutive numbers add up to 99. Find the three numbers. 1st # ? 2nd # ? +1 99 3rd # ? +1 +1 99 - 3 = 96 Example #1 3N = 96 The three numbers are 32, 33, and 34 1N = 32
- 10. 15, 16, and 17 are consecutive numbers that add up to 48. Another three consecutive numbers add up to 87. Find the three numbers. 1st # ? 2nd # ? +1 87 3rd # ? +1 +1 87 - 3 = 84 Example #2 3N = 84 The three numbers are 28, 29, and 30 1N = 28
- 11. 5, 6, 7, 8 are four numbers that add up to 26. Another 4 numbers add up to 86. Find the four numbers (take 5 minutes) Take the challenge!
- 12. Partner Practice Rules { { When you finish… Work independently to Must stay on task with your complete the in-class work assigned partner on Evaluating Expressions Must use level one voice Your teacher will monitor (almost a whisper) your progress while you Go back to previous work problems to help with When you finish, please current problems work on Math Be sure that BOTH partners Minutes, Complete understand BEFORE corrected homework, or moving to the next problem Read your choice book Keep your work organized! Do Not raise your hand. Look at your notes for help or skip the question and work on a different question until your teacher Partner Practice comes to your desk.
Editor's Notes
- #10: Have students fold paper vertically and write model on one side and equation on the other side