unit 4 lesson 17
TRANSCRIPT
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UNIT 4 LESSON 16
Objective: Today we will learn how to solve for numbers
in a sequence using Singapore Bar Models
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FIRST THE
PRELIMINARIES
Noticing Patterns
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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?
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Mile 1
Mile 2
Mile 3
Mile 4
Mile 5
Mile 6
16
32
64 What’s the pattern?
2n
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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
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WHAT ARE
CONSECUTIVE
NUMBERS?
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EXAMPLES OF
CONSECUTIVE NUMBERS
2, 3, 4
12, 13, 14
100, 101, 102
999, 1000, 1001
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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
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10,11,and 12 are consecutive numbers that add up to 33. Another three consecutive numbers add up to 99. Find the three numbers.
Example #1
?
?
?
+1
+1 +1
1st #
2nd #
3rd #
99
3N = 96
99 - 3 = 96
1N = 32The three numbers are 32, 33, and 34
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15, 16, and 17 are consecutive numbers that add up to 48. Another three consecutive numbers add up to 87. Find the three numbers.
Example #2
?
?
?
+1
+1 +1
1st #
2nd #
3rd #
87
3N = 84
87 - 3 = 84
1N = 28The three numbers are 28, 29, and 30
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5, 6, 7, 8 are four numbers that add up to 26. Another 4 numbers add up to 86. Find the four numbers
Take the challenge!
(take 5 minutes)
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{ {Partner Practice Rules
Must stay on task with your assigned partner
Must use level one voice (almost a whisper)
Go back to previous problems to help with current problems
Be sure that BOTH partners understand BEFORE moving to the next problem
Keep your work organized!
When you finish…
Partner Practice
Work independently to complete the in-class work on Evaluating Expressions
Your teacher will monitor your progress while you work
When you finish, please work on Math Minutes, Complete corrected homework, or Read your choice book
Do Not raise your hand. Look at your notes for help or skip the question and work on a different question until your teacher comes to your desk.