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.

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

6. WHAT ARE
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.