S ECTION 1.6: P ROBLEM S OLVING U SING A LGEBRAIC M ODELS Goal: Use problem solving strategies to solve real- life problems.

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Presentation transcript:

S ECTION 1.6: P ROBLEM S OLVING U SING A LGEBRAIC M ODELS Goal: Use problem solving strategies to solve real- life problems.

D EFINITIONS : Verbal Model : the equation written in words. Algebraic Model : a mathematical statement written from a verbal model. Steps in the problem solving plan : Step 1. Write a verbal model Step 2. Assign labels Step 3. Write an algebraic model Step 4. Solve the algebraic model Step 5. Answer the question

E XAMPLE 1: W RITE AND U SE A F ORMULA Chairlifts: Chairlifts transport snowboarders and skiers to the tops of the ski runs. The Iron Horse Quad Chairlift in Montana carries skiers a distance of 3250 feet. The chairlift moves at a speed of 450 feet per minute. Find the time it takes the chairlift to travel the entire distance.

C HECKPOINT : W RITE AND U SE A F ORMULA Find the time it takes the chairlift in Example 1 to travel 1800 feet.

E XAMPLE 2: W RITE AND U SE AN A LGEBRAIC M ODEL

E XAMPLE 3: L OOK FOR A P ATTERN

C HECKPOINT : W RITE AND U SE A S IMPLE M ODEL

H OMEWORK : p , 15-18