# Alternative Algorithms

by
**Megkuenster**

Last updated 8 years ago

** Discipline: **

Math ** Subject: **

Number Operations

Alternative Algorithms

Addition: Partial Sums Method

Addition: This relates to the standard algorithm because it takes the same steps necessary in each place value spot and regroups with the others and the commoncore it fits under is the 3rd grade under numbers and operations in base 10. It relates to the common core CCSS.Math.Content.2.OA.A. It uses addition to solve one or two step equations/situations buy adding to, taking from, putting it back together and comparing. Subtraction: The counting up method for subtraction is related to the standard algorithm for subtraction. They both focus on different place values. Counting up looks at what can be added to certain place values to get to the nearest ten or hundred. The correct number has to be added to the right place value, otherwise counting up to the ending number could get messed up. The standard algorithm also focuses on each place value at one time. First the ones, tens, and then the hundreds. It relates to the common core, CCSS. Math.Content.3.NBT.A.2 because it is fluently adding and subtracting within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.Multiplication: This method relates to the standard algorithm because, while multiplying both with the standard and with the Lattice method, regroupding takes place. It also is the same because it is just doing the problem like the standard way but that '0' that must be placed is not there, making finding the end result easier. It relates to CCSS.Math.Content.3.OA.A.3 because that standard uses drawing, equations and other methods to represent the problem. DIvision: It is similar to the traditional way because you take the product and put it under the dividend and you keep subtracting the product until you get a number that is smaller than the divisor. If that number is greater then zero then that number is called the remainder. The Common Core State Standard that it can relate to is CCSS.Math.Content.3.OA.A.4 because you are trying to find what 223 divided by 8 equals.

Megan Kuenster, Nick Byron, Kristi Klassen& Ashley Entinger

Multiplication:Lattice Method

Subtraction:Number line add-up method

Division:Partial quotient

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