Finding Turning Points of Curves
The below QuickQuestion Interface © generates 10 random curves for which you must find the x coordinates of the turning points. All curves are either quadratics or cubics, and so have at most 2 turning points.
For quadratics, you may enter the answer either as a decimal rounded to 2 d.p. or as a fraction like "1/2".
For cubics, you may enter the answer as either a decimal to 2 d.p. or as a simplified surd (such as "-2/7+3sqrt(5)/7" and "-2/7-3sqrt(5)/7"). If in doubt, use the decimal option.
When there is no turning point, type "None" in either box.
For quadratics, you may enter the answer either as a decimal rounded to 2 d.p. or as a fraction like "1/2".
For cubics, you may enter the answer as either a decimal to 2 d.p. or as a simplified surd (such as "-2/7+3sqrt(5)/7" and "-2/7-3sqrt(5)/7"). If in doubt, use the decimal option.
When there is no turning point, type "None" in either box.
Ideas for Teachers
This is a good alternative to the QQI activity, if you just want to put 10 questions on the board. Then you can get answers from students to enter in the boxes before checking them, and correcting as necessary.
However, the real power in this activity is when you get the students using it themselves. In a computer lesson, set them all going on the activity, and get them to repeat until they get every question correct.
Or you can set it as a homework, telling them the conditions to use (different conditions for different students to differentiate the homework). Then get them to do one or two sets, all correct, and to take a screen shot and either email it to you, or, even better, stick it in their books. Since the questions are random, every student will get a different set of questions, and the immediate feedback means they can go back and correct their work straight away.
This is a good alternative to the QQI activity, if you just want to put 10 questions on the board. Then you can get answers from students to enter in the boxes before checking them, and correcting as necessary.
However, the real power in this activity is when you get the students using it themselves. In a computer lesson, set them all going on the activity, and get them to repeat until they get every question correct.
Or you can set it as a homework, telling them the conditions to use (different conditions for different students to differentiate the homework). Then get them to do one or two sets, all correct, and to take a screen shot and either email it to you, or, even better, stick it in their books. Since the questions are random, every student will get a different set of questions, and the immediate feedback means they can go back and correct their work straight away.
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