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Functions Homework Help Resources (Page 2)


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In this activity, students will find a best fit line for data graphed as scatter plots. Applications of linear relationships provide motivation and improve skills and understanding of finding the equation of a line from two known points. Movable lines and self-check questions make this activity approachable for Algebra 1 students. Students can put into practice what they have learned with extension/homework questions.
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Four lessons and a self-test on translations and transformations of functions using a TI graphing calculator.
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Students graph systems of linear functions to determine the number of solutions. In the investigation, students are given one line and challenged to draw a second line that creates a system with a particular number of solutions.
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Students investigate the total cost of a private party at each of three restaurants. Each restaurant states its pricing information differently, but all charge a flat room fee (represented by the y-intercept) plus a per guest plate fee (represented by the slope). Students model the cost of a party at each restaurant with the graph of a linear function.
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In this activity, students will explore absolute value inequalities graphically, numerically, and algebraically. They will rewrite absolute value inequalities as compound inequalities without absolute value and solve.
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In this activity, students will make observation about the motion of two objects. They will compare and contrast this motion and consider how it corresponds to a graph representing the distance as a function of time. In the extension, students will explore the relationship between the slope and the rate.
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In this activity, students will work through a scenario of a business venture involving washing dogs. They will translate fixed and variable costs to a cost function and make a decision about how much to charge to wash per dog. When the break-even point is found, students must interpret it to answer the question.
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In this activity, students will increase their understanding of the use of the formula T = r × p, which is encountered both in the real world and in the typical Algebra 1 class. They will calculate the amount of taxes and tips exactly, and then use estimation.
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Students explore a geometric sequence that models the spread of the 2004 Mydoom virus. After finding a rule for the sequence, they apply it recursively to extend it and graph the resulting data as a scatter plot. Then they derive, evaluate, and graph an exponential function to model the data. The activity concludes by discussing the meaning of the constants a and b in the exponential function f(x) = abx.
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In this activity, students will use sliders to separate what effect each change in the Point-Slope equation has on the graph. Then they will calculate the slope and write their own Point-Slope form of an equation using two data points and use the Graph Trace to make predictions.
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