Integrated Algebra 9R ­ Consecutive Integers Day 1.notebook
December 04, 2009
12/4/09
AIM: SWBAT solve word problems involving 1
consecutive integers and Greater & Lesser Values
DO NOW:
The length of a rectangle is three less than four times the width. If the perimeter is 54 cm, find both dimensions.
HW:
W.S. (Consec. Int.)
Jan 6­8:21 AM
1
Integrated Algebra 9R ­ Consecutive Integers Day 1.notebook
December 04, 2009
With CONSECUTIVE INTEGERS, there is a fixed set of "Let" statements:
MEMORIZE THEM!!
"Let x = 1st consecutive integer"
"Let x + 1 = 2nd consec. integer"
"Let x + 2 = 3rd consec. integer"
With CONSECUTIVE EVEN/ODD, there is also a fixed set:
"Let x = 1st consecutive even/odd integer"
"Let x + 2 = 2nd consecutive even/odd integer"
"Let x + 4 = 3rd consecutive even/odd integer"
We use these "Let" statements whenever we have a word problem that involves consecutive integers!!
Examples:
1) The sum of two consecutive integers is ­9. Find the integers.
2) Find three consecutive even integers whose sum is ­96.
Jan 6­8:24 AM
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Integrated Algebra 9R ­ Consecutive Integers Day 1.notebook
December 04, 2009
3) Find two consecutive even integers such that 4 times the lesser is 28 more than the greater.
4) Find two consecutive odd integers such that 2 times the lesser is 19 less than 3 times the greater.
5) The product of two consecutive integers is 9 less than the square of the second integer. Find both integers.
6) Find two consecutive even integers such that when the square of the first is subtracted from the square of the second the result is 20. Jan 6­8:36 AM
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