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Jag Nation Pride When you enter this classroom, immediately do the following: 1.Take your seat. 2.Turn off all electronic devices and place in backpack. 3.Take out all necessary materials (planner, binder, pencil) and place back pack on floor under desk. 4.Read the Smart Board and follow all directions posted. Copy homework assignment into planner. 5.Use a white board to complete any bell work that is assigned.
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BELLWORK 1.Solve the equation and check your solution:
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Lesson 13 Potential Dangers when Solving Equations
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STUDENT OUTCOME The student will…. learn “if-then” moves using the properties of equality to solve equations. Students also explore moves that may result in an equation having more solutions than the original equation. Homework: pgs S.73 # 2 - 5
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Exercise 1: pg. S.68 b. Why are we sure that the first equation has the same solution set as the final equation?
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Exercise 1: pg. S.68 c. What is the common solution set to all these equations?
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Exercise 2: Solve the equation for x. For each step, describe the operation used to convert the equation.
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Exercise 3: Solve the equation for x. For each step, describe the operation used to convert the equation.
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Exercise 3: Solve the equation for x. For each step, describe the operation used to convert the equation.
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Exercise 3: Solve the equation for x. For each step, describe the operation used to convert the equation.
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Exercise 4: Consider the two equations: and a.Verify that x = 3 is a solution to both equations. b.Find a second solution to the second equation. c.Based on your results, what effect does squaring both sides of an equation have on the solution set?
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Exercise 6: Consider the equation: a.Verify that x = 1, x = −1, and x = 2 are each solutions to this equation. b.Bonzo decides to apply the action “Ignore the exponents” on each side of the equation. In solving this equation, what does he obtain? What seems to be the problem with his technique?
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Exercise 7: Consider the equation: a.Multiply both side by a constant and show the solution set did not change. Now multiply by x on both sides. b.Show that x = 8 is still a solution. c.Show that x = 0 is also a solution.
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Exercise 7: Consider the equation: Now multiply both sides by the factor x − 1. d. Show that x = 8 is still a solution. e. Show that x = 1 is also a solution.
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Exercise 7: Consider the equation: f. Based on your results, what effect does multiplying both sides of an equation by a constant have on the solution set of the new equation? g. Based on your results, what effect does multiplying both sides of an equation by a variable factor have on the solution set of the new equation?
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EXIT TICKET Solve the equation for x. For each step, describe the operation and/or properties used to convert the equation.
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STUDENT OUTCOME The student will…. learn “if-then” moves using the properties of equality to solve equations. Students also explore moves that may result in an equation having more solutions than the original equation. Homework: pgs S.73 2 - 5 all
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