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This lesson focuses on transforming verbal phrases into mathematical expressions, enhancing comprehension in both math and English. Students will practice forming equations based on phrases like "the value of five increased by a number" and "half of a value decreased by seven." Additionally, real-world applications are explored through scenarios such as calculating earnings and comparing costs of airplane ownership versus rental. The lesson culminates with graphing equations and finding points of intersection, reinforcing both algebraic skills and critical thinking.
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What am I? 4x+6=22
Write the following phrases as a mathematical expression: • The value of five increased by a number
Write the following phrases as a mathematical expression: • “Half of a value, decreased by seven, is one”
Write the following phrases as a mathematical expression: • Mario’s daily earnings are $80 plus 12% commission on his sales
Example • Mr. Richards owns his own plane. He pays $50/h for flying time and $300/month for hangar fees at the airport. If Mr. Richards rented the same type of plane from the airport it would cost him $100/h. How many hours will Mr. Richards fly each month so that the cost of renting the plane will be the same as the cost of flying his own plane?
Graphing • The equations for two lines are and . What are the coordinates of the Point of Intersection?
Graphing Calculator • Here’s How!
Assignment • Pg 16 #’s 1-3, 7-11