## Lesson: One-Step Linear Equations

Developing the Concept

Now that students have reviewed how to solve one-step linear equations in one variable, they can learn how to write these equations from written word problems. Knowing how to solve word problems makes mathematics useful in real-world situations.

**Materials:** the poster with the three important ideas for solving equations; another poster of the four-step problem-solving process

**Preparation:** Make a poster of the four-step problem-solving process found in the students' text.

Write the following problem on the board:

Three soccer players want to buy their coach a present for $19.50. The cost will be divided equally among the three players. How much is each player's share?

**Wrap-Up and Assessment Hints**

There is a big difference between knowing how to do something and understanding why you do the things you do. For example, knowing that you must divide both sides of the equation 3 x* n *= 15 by 3 in order to solve it is different from understanding that when you divide the left side of the equation by 3, it makes the quantity equal to of its original value. So to have an equation that is a true statement, we need to do the same operation on the right side of the equation. Then the quantities remaining on both sides of the equation will be equal. When assessing students, ask them why they do the things they do, not just what they do. Ask questions which ensure an understanding of the three important ideas for solving linear equations. This will make the students' knowledge much richer and will extend to solving more difficult equations.