Example Traditional/Open-Ended Questions

Completed by teachers on 3/11/11

5

Traditional

3y

17

x

12

Find the value of x and y

Open-Ended

The triangles are similarAnd have a scale factor Of 7. The shortest side is Less than 5. GivePossible lengths for all The sides.

• 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.

• 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

€

16 ÷ 8⋅ 2 +16

• Objective:– Add and subtract polynomials

• Open-Ended:– Think of two polynomials when subtracted, the

result is

€

−52x 3 + 3x 2 +6x − 4

• Traditional:– Solve, show all work & check: 2x + 3 = 15

• Open-Ended– Create an equation that proves the “check” of 15 = 15

• Traditional:– How many diagonals does an octagon have?

• Open Ended:– What object has more than 40 diagonals and less

than 60?

• 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

• 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.

€

−1

22(x −1) + 3

€

y = x

• 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.

• Traditional:

• Open Ended:

– Fill in the blanks to make this statement true

€

x − 4 = 3

€

x −? = ?

• 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

• 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

• 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

• 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

• 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.

• Traditional: Write 1/5 as a percent.

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

• 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 ______.

4 cm

3 cm

12 cm

• 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.