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# addition algorithms

presentation

by

Tweet## Sheilyn Lee

on 24 October 2012#### Transcript of addition algorithms

Algorithms

for

Addition

300

+150

______

450 Standard Addition Algorithm

using base ten blocks

with no regrouping 0 ones + 0 ones = 0 ones

0 tens + 5 tens = 5 tens

3 hundreds + 1 hundred = 4 hundreds 0 + 0 = 0

0 + 50 = 50

300 + 100 = 400 34 + 27 Standard Addition Algorithm

using base ten blocks

with regrouping =61 trade in 10 unit cubes

for 1 ten rod because 11 unit cubes consists of 1 unit cube and 1 ten rod =61 523

71

+ 5

9

90

+ 500

599 Intermediate Addition Algorithm

using a place value chart

with no regrouping 1 Intermediate Addition Algorithm

using a place value chart

with regrouping 500 20 3 70 1 5 245

37

+ 2

4

80

+200

284 200 40 40 5 30 7 2 14 10 4 Lattice addition algorithm

with and without regrouping 246

+352 http://www.nctq.org/resources/math/docs/numbersense/Lesson3_1-3_2.pdf Compare & Contrast

Addition Algorithms Compare & Contrast

Intermediate & Standard Algorithms 765 +486 8 9 5 1 1 1 1 4 1 1 5 2 1 Math Game http://www.ixl.com/promo?partner=google&phrase=Search%20-%20Broad%20-%20place%20value&gclid=CMrhnbT-krMCFS-RPAodkFoAUw APA Citations Math Lessons for Addition http://www.coolmath4kids.com/addition/03-addition-lesson-place-values-01.html Mankus, M.L. (1998). Whole Number Algorithms and a Bit of Algebra! [image]. Retrieved from

http://mason.gmu.edu/~mmankus/whole/base10/asmdb10.htm

Scott, K. (n.d.). Solving Real-World Addition and Subtraction Problems Involving Whole Numbers and Money, Lesson 1 3rd Grade Numbers and Computation, S1.B4.A1ab [image]. Retrieved from http://baip.elearndesign.org/_LESSONS/_FINDER/lessons_private/baip_lessonmat_3_1_4_A1ab_1_norm1/10/300/305.html

Saskatoon Public Schools. (2004).Virtual Manipulatives - Base Ten Blocks [image]. Retrieved from http://olc.spsd.sk.ca/de/math1-3/baseten-1.html

3.1 & 3.2 - Add/Subtraction Algorithm. Retrieved from http://www.nctq.org/resources/math/docs/numbersense/Lesson3_1-3_2.pdf

Coolmath.com, Inc. (2012). Coolmath4kids. Retrieved from http://www.coolmath4kids.com/

IXL Learning. (2012). IXL. Retrieved from http://www.ixl.com/math/grade-2

Bennett, A., Burton, L., Nelson, L. (2012) Mathematics for Elementary Teachers: A Conceptual Approach, Ninth Ed. New York, NY: McGraw- Hill

Larson R. (2008). Lattice Addition and Subtraction Model directions. Retrieved from www.pflugervilleisd.net/.../math/.../LatticeAdditionandSubtraction.do...

Shaunteaches (2011, October 30). Left to Right Addition vs. Long Addition. Retrieved October 20, 2012. From 0 0 0 8 9 5 add from right to left

number above diagonal line is tens place

number below is ones place

next add tens place

number above diagonal line is hundreds place

number below is tens

continue this process

then add numbers along diagonal line as shown

numbers shown in red are your answer 3 Types of Addition Algorithms

Standard Addition Algorithm

Intermediate Addition Algorithm

Lattice Addition Algorithm

Full transcriptfor

Addition

300

+150

______

450 Standard Addition Algorithm

using base ten blocks

with no regrouping 0 ones + 0 ones = 0 ones

0 tens + 5 tens = 5 tens

3 hundreds + 1 hundred = 4 hundreds 0 + 0 = 0

0 + 50 = 50

300 + 100 = 400 34 + 27 Standard Addition Algorithm

using base ten blocks

with regrouping =61 trade in 10 unit cubes

for 1 ten rod because 11 unit cubes consists of 1 unit cube and 1 ten rod =61 523

71

+ 5

9

90

+ 500

599 Intermediate Addition Algorithm

using a place value chart

with no regrouping 1 Intermediate Addition Algorithm

using a place value chart

with regrouping 500 20 3 70 1 5 245

37

+ 2

4

80

+200

284 200 40 40 5 30 7 2 14 10 4 Lattice addition algorithm

with and without regrouping 246

+352 http://www.nctq.org/resources/math/docs/numbersense/Lesson3_1-3_2.pdf Compare & Contrast

Addition Algorithms Compare & Contrast

Intermediate & Standard Algorithms 765 +486 8 9 5 1 1 1 1 4 1 1 5 2 1 Math Game http://www.ixl.com/promo?partner=google&phrase=Search%20-%20Broad%20-%20place%20value&gclid=CMrhnbT-krMCFS-RPAodkFoAUw APA Citations Math Lessons for Addition http://www.coolmath4kids.com/addition/03-addition-lesson-place-values-01.html Mankus, M.L. (1998). Whole Number Algorithms and a Bit of Algebra! [image]. Retrieved from

http://mason.gmu.edu/~mmankus/whole/base10/asmdb10.htm

Scott, K. (n.d.). Solving Real-World Addition and Subtraction Problems Involving Whole Numbers and Money, Lesson 1 3rd Grade Numbers and Computation, S1.B4.A1ab [image]. Retrieved from http://baip.elearndesign.org/_LESSONS/_FINDER/lessons_private/baip_lessonmat_3_1_4_A1ab_1_norm1/10/300/305.html

Saskatoon Public Schools. (2004).Virtual Manipulatives - Base Ten Blocks [image]. Retrieved from http://olc.spsd.sk.ca/de/math1-3/baseten-1.html

3.1 & 3.2 - Add/Subtraction Algorithm. Retrieved from http://www.nctq.org/resources/math/docs/numbersense/Lesson3_1-3_2.pdf

Coolmath.com, Inc. (2012). Coolmath4kids. Retrieved from http://www.coolmath4kids.com/

IXL Learning. (2012). IXL. Retrieved from http://www.ixl.com/math/grade-2

Bennett, A., Burton, L., Nelson, L. (2012) Mathematics for Elementary Teachers: A Conceptual Approach, Ninth Ed. New York, NY: McGraw- Hill

Larson R. (2008). Lattice Addition and Subtraction Model directions. Retrieved from www.pflugervilleisd.net/.../math/.../LatticeAdditionandSubtraction.do...

Shaunteaches (2011, October 30). Left to Right Addition vs. Long Addition. Retrieved October 20, 2012. From 0 0 0 8 9 5 add from right to left

number above diagonal line is tens place

number below is ones place

next add tens place

number above diagonal line is hundreds place

number below is tens

continue this process

then add numbers along diagonal line as shown

numbers shown in red are your answer 3 Types of Addition Algorithms

Standard Addition Algorithm

Intermediate Addition Algorithm

Lattice Addition Algorithm