# Algebra I Task: Speeding Ticket Problem

Algebra I Task: Speeding Ticket Problem Algebra I Task: Speeding Ticket Problem

### Standards & Objectives

CCSS.Math.Content.HSA-CED.A.1
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions,...
CCSS.Math.Content.HSA-CED.A.3
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or...
CCSS.Math.Content.HSA-REI.A.1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the...
CCSS.Math.Content.HSF-IF.A.1
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one...
CCSS.Math.Content.HSF-IF.B.5
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function...

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Essential and guiding questions:
• How did you calculate the cost of each ticket?
• Would you need to calculate the 27 miles per hour? Why or why not?
• How did you use the calculations in Part A to write an equation in Part B?
• How did you define your variables in your equation? Why do the labels matter?
• How does your equation relate to the scenario? Where is each part of your equation in the scenario?
• Do the equations shared have the same solution? Explain.
• How did you define the domain and range of your function? How does your domain and range relate to the scenario?
• Could you receive a ticket for going 30.2 miles per hour? Explain. How does this relate to your domain and range?
• How did you determine the speeds at which a driver is considered reckless?

Blooms taxonomy level:
Understanding
Differentiation suggestions:

If students can’t get started….
Assessing Questions:

• What is the question asking?
• Describe what each number in your calculations represents. Where is the fee? Where is the cost charged for every mile per hour over the speed limit?
• Talk me through how you would find the cost of a ticket.
• How did you determine what to multiply the \$8 by?
• How do you know that the 27 miles per hour would not generate a ticket? or Why did you not calculate a number for the 27 miles per hour?

• How could you use your number sentences in Part A to help write an equation?
• What do you notice is changing and what is staying the same in the scenario?
Extension suggestions:

If students finish early….
Assessing Questions:

• Show me how your equation relates to the scenario.
• Why did you decide to use this equation?
• How do you know that your equation represents a function?
• How does your domain and range relate to the scenario?