4.OA.A.3 Modeling Multi-Step Problems with Unknown Quantity
Evidence Statement 4.D.1-Solve multi-step contextual word problems with degree of difficulty appropriate to Grade 4, requiring application of knowledge and skills articulated in Type I Evidence Statements.
Ezra has $258 saved. He wants to buy a new Gaming Computer that costs $850.
He has a part-time job that pays $8 an hour. Each day Ezra works 6 hours.
- Write an equation to find the least number of shifts Ezra will have to work to afford the new Gaming Computer.
- Use a letter for the unknown value in your equation.
Write your equation and answer in the space provided.
Explain how you determined the number of days Ezra will have to work to afford the new computer
- How many shifts will Ezra need to work to afford the Gaming Computer? Explain your answer.
Enter your equation, answer, and explanation in the space provided.
Part A= 2 points
Student response includes the following 2 elements.
Modeling Component = 1 point
The student provides a valid equation for finding the least number of days needed to afford the Gaming Computer
Note: Equation should use a letter for the unknown value ($592.00 divided by 48= n) (division symbol can be used)
Computation Component = 1 point
The student provides the correct number of shifts needed, ( 12 R 3 or 13 days)
Student response includes 1 of the 2 elements.
Student response is incorrect or invalid.
| Part B|
| Reasoning Component = 1 point|
The student provides a valid explanation for how the number of shifts was determined, taking the remainder into consideration.
Note: A valid explanation may include correct work with each step provided.
Sample Student Response:
$850.00- $258.00= $592.00 ( amount of money needed )
$8.00 x 6 = $48.00 ( amount of money earned each day)
$592.00 ÷ $48.00= 12 R 3 ( amount of days to earn enough money)
Final answer is 13 days because Ezra needs to work a 6 hour day. He can’t work only 3 hours to earn enough money to buy the computer