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Example Traditional/Open-Ended Questions

Example Traditional/Open-Ended Questions. Completed by teachers on 3/11/11. Traditional. x. 5. y. 3. 12. 17. Find the value of x and y. Open-Ended. The triangles are similar And have a scale factor Of 7. The shortest side is Less than 5. Give Possible lengths for all

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Example Traditional/Open-Ended Questions

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  1. Example Traditional/Open-Ended Questions Completed by teachers on 3/11/11

  2. Traditional x 5 y 3 12 17 Find the value of x and y Open-Ended The triangles are similar And have a scale factor Of 7. The shortest side is Less than 5. Give Possible lengths for all The sides.

  3. Traditional: • Find the area of a trapezoid with a height of 16 inches and bases of 5 in and 11 in. • Open-Ended: • Find the possible lengths of the bases of a trapezoid with an area of 64 square inches and a height of 8 inches.

  4. Traditional: • Use grouping symbols to create a solution of .5 • Open – Ended: • Use four integers, basic operations, and grouping symbols to create a problem with a solution of .5

  5. Objective: • Add and subtract polynomials • Open-Ended: • Think of two polynomials when subtracted, the result is

  6. Traditional: • Solve, show all work & check: 2x + 3 = 15 • Open-Ended • Create an equation that proves the “check” of 15 = 15

  7. Traditional: • How many diagonals does an octagon have? • Open Ended: • What object has more than 40 diagonals and less than 60?

  8. Traditional: • Transform your shape: • Reflect over x (or y) • Translate to the right (or left) ____ spaces • Rotate 90 degrees clockwise • Open-Ended: • Object “L” has been transformed. In no more than 3 transformations (using 1 rotation, 1 translation, and 1 reflection) get to the end result

  9. Traditional: • Graph the transformations of g(x) based on the parent function f(x) = -3sin(2x) + 1 • Open-Ended: • Create your own transformation equation on sin, cos, or tangent. Graph it and exchange it with a partner to check.

  10. Traditional: • Graph a function that has been transformed. • y = • List how the parent function has been transformed • Open-Ended: • Come up with a transformed function for • Then graph it; List how the parent function has been transformed

  11. Traditional: • Draw a bisector perpendicular to the given segment • Open-Ended: • If you were given a giant compass & straight edge, describe a landmark that could have a perpendicular bisector. • Maps can be used to show the perpendicular bisectors between two places.

  12. Traditional: • Open Ended: • Fill in the blanks to make this statement true

  13. Traditional: • Find the slope of a line containing the points (2,3) and (-5,0) • Open-Ended: • Find two points whose slope is -1/2. The points must be in different quadrants

  14. Traditional: • Evaluate if x = -0.5 and y = ¾ 6x – y • Open-Ended: • What value of x and y could be used to make this equation true? 6x – y = -2.25

  15. Traditional: • Solve an inequality & graph it on a number line • Open Ended: • Create a real-world problem in which you would get the same answer

  16. Traditional: Find the perimeter of the rectangle below. • Open-Ended: • Draw a picture of a rectangle whose perimeter is 20 cm. • Draw a picture of a rectangle which has a side of 4cm and a perimeter of 20 cm. 4 cm 6 cm

  17. Traditional: Given a bag with 2 red, 3 blue, and 5 green marbles, what is the probability of picking a red? • Open-ended Question: Design a simulation that would give 50% chance of picking a red marble.

  18. Traditional: Write 1/5 as a percent. • Open-Ended Question: Write a story that would illustrate 1/5 as a %.

  19. Traditional: Find the volume and surface area of the rectangular prism below. • Open-Ended Question: Find the dimensions of a rectangular prism with a volume of _____ and a surface area of ______. 12 cm 3 cm 4 cm

  20. Traditional: Solve a systems of equation using substitution. • Open-ended: • Come up with a system of equations whose solution is (10, 70). • Give a real life scenario where you can use substitution to solve a system of equations.

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