Presentation on theme: "Beth Marengo JSerra Catholic High School Math Department"— Presentation transcript:
1 Beth Marengo JSerra Catholic High School Math Department WORD PROBLEMSBeth MarengoJSerra Catholic High SchoolMath Department
2 Overview: 6 Step Process Step 1: What does the problem ask you to find?Step 2: Let StatementStep 3: What do you know?Step 4: Algebraic Equation and SolutionStep 5: Check your answerStep 6: Write a Sentence
3 Example ProblemA chemist has 10 milliliters of a solution that contains a 30% concentration of acid. How many milliliters of pure acid must be added in order to increase the concentration to 50% ?
4 STEP 1: What does the problem ask you to find? A chemist has 10 milliliters of a solution that contains a 30% concentration of acid. How many milliliters of pure acid must be added in order to increase the concentration to 50% ?The question is:What amount of pure acid should the chemist add?
5 Let x = amount of pure acid to be added. Step 2: Let StatementThis is the step where you identify your variable. Your variable should always refer to the unknown amounts from Step 1.Let x = amount of pure acid to be added.
6 + = Step 3: What do you know? Students should do one of the following Draw a pictureWrite a verbal equation+=Amount: 10 ml x ml 10 +x mlConcentration: 30% % %
7 Step 4: Equation/Solution Take what you know from your picture/verbal equation and transform into an algebraic equation.30(10) (x) = .50(10 + x)3 + x = x.5x = 2x = 4+=10 ml (30%) x ml (100%) x ml (50%)
8 Step 5: Check AnswerAsk the students, does your answer sound reasonable?For example if we had reached a negative solution, this is not reasonable. You cannot add a negative amount of milliliters to increase concentration.Students tend to overlook the fact that these are real life problems and require real life solutions.
9 THE CHEMIST NEEDS TO ADD 4 MILLILITERS OF PURE ACID TO THE SOLUTION. Step 6: Write SentencePut your answer into a complete sentence.This accomplishes two very important things.Double checks that the answer is reasonable.Ensures that you answered the question being asked.THE CHEMIST NEEDS TO ADD 4 MILLILITERS OF PURE ACID TO THE SOLUTION.
10 Thank You and Questions ANY SUGGESTIONS?QUESTIONS?
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