**Alternative Algorithms**

**Reliable Ways of Solving Problems**

In math, an algorithm is a specific series of steps that will give you the correct answer every time. Although getting the right answer is the goal, I feel it is more important that students understand

Below are slides of some alternatives to the US Traditional Algorithms. Although I teach the traditional algorithms, I also encourage students to try different ways of computing so they get a more well-rounded understanding of what it means to perform the operation (add, subtract, multiply, or divide). In addition to enabling students to solve problems reliably and intuitively, these algorithms help students better understand place-value (ones, tens, hundreds, etc.) and help students with other math skills such as estimating and breaking apart numbers. The focus is on developing students' number sense.

Click on a number in the slide show to see an explanation of each algorithm listed below.

1. Division: Partial Quotients; 2. Division: Column; 3. Multiplication: Partial Quotients;

4. Multiplication: Lattice; 5. Subtraction: Trade-First; 6. Addition: Partial Sums

**why**the algorithms they use work.Below are slides of some alternatives to the US Traditional Algorithms. Although I teach the traditional algorithms, I also encourage students to try different ways of computing so they get a more well-rounded understanding of what it means to perform the operation (add, subtract, multiply, or divide). In addition to enabling students to solve problems reliably and intuitively, these algorithms help students better understand place-value (ones, tens, hundreds, etc.) and help students with other math skills such as estimating and breaking apart numbers. The focus is on developing students' number sense.

Click on a number in the slide show to see an explanation of each algorithm listed below.

1. Division: Partial Quotients; 2. Division: Column; 3. Multiplication: Partial Quotients;

4. Multiplication: Lattice; 5. Subtraction: Trade-First; 6. Addition: Partial Sums