1. Algorithms for Whole-Number Addition & Addition Using Manipulatives

2. Algorithms for Whole-Number Addition
algorithm – a systematic procedure used to accomplish an operation
R → L;
NO emphasis on place value (place value is not explicit in this method)
The Standard Addition Algorithm

3. Video: Alternate Algorithms
Video Link to Alternate Algorithm explanations.
The following 3 slides show each of the different algorithms discussed in the video.

4. Partial Sums
Sum of ones 250 Sum of tens 1500 Sum of hundreds Sum of thousands Sum of ten-thousands Information in RED is for notes ONLY – Do NOT include as part of algorithm. R to L; Emphasis on place value (place value IS explicit in this method)

5. Expanded notation
The exercise = ? would be expanded as:
MUST interpret this method, so final answer is: 3534
R to L; Emphasis on place value (place value IS explicit in this method)

6. Left to right addition 47396 70194 58307 + 2879
Sum of ten thousands
17000 Sum of thousands
1500 Sum of hundreds
250 Sum of tens
26 Sum of ones
178776
Information in RED is for notes ONLY – Do NOT include as part of algorithm.
L to R; Emphasis on place value (place value IS explicit in this method)

7. Addition Algorithms
Solve: and using each of the algorithms below: Partial Sum Left-to Right Expanded Notation Solutions are on the following slides

8. Partial Sums

9. Left to Right

10. Expanded Notation
= 1117 = 1110
1000
100
1000
100 10

11. base-ten blocks units = centimeter cubes;
long = 10 cm x 1 cm x 1cm square prism or 10 units;
flat = 10 cm x 10 cm x 1 cm rectangular prism, 10 longs, or 100 units

12. Video: Addition Using Manipulatives
Video using manipulatives

13. Complete the problems from the handout “Addition Using Manipulatives”
The following 4 slides have the solutions to those problems

14.
121

15.
10002

16.
11013

17.
10124

18. National Library of Virtual Manipulatives
For more practice or for use in your classroom:
g_2_t_1.html?from=topic_t_1.html
Base Block Addition
Click on Create problem
Change base
Drag blocks from top bar to create your problem
Once created, group blocks together by the base number you chose and move to appropriate place value to solve