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Students begin the lesson by analyzing the role variables play in equations. They then dig into what it means for an equation to be true or not true. Since grade 1, students have been identifying whether numerical equations are true or false. Now, students extend that understanding to algebraic equations. Students learn that, for an equation with a variable, a value of the variable that makes the equation true is called a “solution” of the equation. They then use substitution to determine whether a given number in a set is a solution of the equation.
This lesson is where "next to" notation is introduced for multiplication. (For example, means .)
Let's see what it means to find a solution for an equation with a variable.
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A solution to an equation is a number that can be used in place of the variable to make the equation true.
A variable is a letter that represents a number. Different numbers can be chosen for the value of the variable.
In the expression , the variable is .