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WRITE AND GRAPH EQUATIONS

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Learning Goal for Focus 2(HS.A-CED.A.1, 2 & 3, HS.A-REI.A.1, HS.A-REI.B.3): The student will create equations from multiple representations and solve linear equations and inequalities in one variable explaining the logic in each step. 43210 In addition to level 3.0 and above and beyond what was taught in class, the student may: - Make connection with other concepts in math - Make connection with other content areas. The student will create equations from multiple representations and solve linear equations and inequalities in one variable explaining the logic in each step. - rearrange formulas to highlight a quantity of interest. -Graph created equations on a coordinate graph. The student will be able to solve linear equations and inequalities in one variable and explain the logic in each step. -Use equations and inequalities in one variable to solve problems. With help from the teacher, the student has partial success with solving linear equations and inequalities in one variable. Even with help, the student has no success with solving linear equations and inequalities in one variable.

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GETTING A SPEEDING TICKET Greg lives in a state in which speeders are fined $15 for each mile per hour over the speed limit. Write an equation that will determine the cost “ C ” for any speeding ticket that is written. Graph your equation. Label what you know: Speeding ticket = C $15 per mile over limit “ x ” how many miles over speed limit. Write an equation. 15x = C Make a Graph Start with a t-chart to know what values your graph will need to be. Plot your points and connect them. Image from http://schools.iclipart.com Miles over the Speed Limit COST $COST $ 15 45 30 75 60 90 105 180 165 150 135 120 210 195 Cost of a Speeding Ticket

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MONEY Currently, you have $60 and your sister has $135. You decide to save $5 of your allowance each week, whereas your sister decides to spend her whole allowance plus $10 per week. Write an equation that will calculate the total, T, you have after w amount of weeks. Write an equation that will calculate the total, T, your sister will have after w amount of weeks. Graph both equations on the same graph. Image from http://schools.iclipart.com Label what you know: My starting amount= $60 My savings each week= $5 Her starting amount = $135 Her spending each week = $10 “ w ” number of weeks. Write your equation. 60 + 5w = T Write your sister’s equation. 135 - 10w = T Make a Graph Start with a t-chart to know what values your graph will need to be. Plot your points and connect them. Number of Weeks TOTAL $TOTAL $ 10 30 20 50 40 60 70 120 110 100 90 80 140 130 Comparing our Money

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