Unit 4 lesson 17

UNIT 4 LESSON 16

Objective: Today we will learn how to solve for numbers

in a sequence using Singapore Bar Models

FIRST THE

PRELIMINARIES

Noticing Patterns

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?

Mile 1

Mile 2

Mile 3

Mile 4

Mile 5

Mile 6

16

32

64 What’s the pattern?

2n

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

WHAT ARE

CONSECUTIVE

NUMBERS?

EXAMPLES OF

CONSECUTIVE NUMBERS

2, 3, 4

12, 13, 14

100, 101, 102

999, 1000, 1001

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

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

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

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)

{ {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.