6.EE.B.6

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Students will learn how to solve one-step equations. Students will solve both word problems and mathematical ones. For mathematical problems, students will also learn how to find mistakes in solving. One type of problem is to have students find the input of a function given its output. For example, what is \(x\) if \(f(x) = 3x\) and \(f(x) = 15?\) Start with concrete and pictorial methods, then move on to the abstract method. Here's how algebra tiles can be used to solve one-step equations which require dividing both sides by a positive integer. Here's an interesting word problem, from Gardner's *Entertaining Mathematical Puzzles:* If a basketball weighs \(10 \frac{1}{2}\) ounces plus half its own weight, how much does it weigh? The equation required to solve this problem is