Lesson Plan #:AELP-ATH0003

AUTHOR: Lauren Evans, Su-Valley Junior/Senior High School, Talkeetna, Alaska

GRADE LEVEL: MATH 4-12 (I teach it to 7-8)

OVERVIEW:

Students are having trouble with CARRYING in ADDITION problems or:

students want to add faster and more accurately

students want to add without pencil and paper

PURPOSE:

This gives kids an alternative way of adding if they have trouble with 'carrying'. It is also faster and more accurate for MOST kids.

I have all of the kids try this then ENCOURAGE the ones that have trouble with addition to use it all of the time.

The biggest problem is that a few kids think it is sort of cheating to use this method because it doesn't follow th d26 e 'rules' of addition. Once convinced it is OKAY to use, they like it.

This also works for multiplying, but that's another lesson.

OBJECTIVES:

Upon completion of this lesson, the student will be able to add correctly and quickly.

RESOURCES/MATERIALS:

ACTIVITIES:

1) problem -         35
+ 24
----
2)  Add from LEFT TO RIGHT (the OLD way is to
add the ONES first and then carry)

+ 20
------
50

+  4
-----
9

+  9
----
59    NO CARRYING
(when using the OLD method) so they get the idea...
progress to tougher problems (below).

steps        (1)     (2)   (3)
EXAMPLES:     378      300     70     8
+ 958    + 900   + 50   + 8
------   ------   ----   ---
1200 to 1200 (4) 120 to--------- 120 (add)
16 to---------------- 16 ------ 1336

THE ANSWER!!! steps (1) (2) (3) (4) (5)

EXAMPLE: 5830 5000 800 30 0 2967 2000 900 60 7 836 800 30 6 + 38566 + 30000 + 8000
+ 500 + 60 + 6 -------- ------- ------ ----- ---- --- 30000 to- 30000 15000
to-----------15000 (6) 3000 to------------------ 3000 add 180
to---------------------------180 19*to----------------------------------19 -------- 48199

THE ANSWER!!! TIP: If the above example had a list of sums that ended with a 20
*(rather than 19), the list can be added just as the original problem was added so that
the student won't have to carry here either.  See the sample below.

EXAMPLE:
5830
2967
836
+  38567
--------
30000
15000
3000
180     Here the 80 + 20 = 100.  Using
20     the old method of adding, the
-------    '1' would have to be carried...
40000     here we just add from left to
8000     right again to get rid of that
100     problem...
100
-------