The Discriminant Is Our Friend!
Tuesday, October 8, 2019
Activities,
algebra,
Algebra 2,
foldable,
graphic organizer,
Imaginary Numbers,
interactive notebook,
lessons,
Quadratic Formula,
Quadratics,
Vocabulary
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Yes, I realize that I'm posting this out of order. The terminal theme nosotros covered inward our Algebra 2 unit of measurement over quadratic functions was the discriminant. So far, I've posted nigh our outset activity. Now, I'm posting nigh our terminal activity. Eventually, I larn all of this unit of measurement posted. I promise!
At this point, my students direct maintain already memorized together with proficient applying the quadratic formula. I instruct them to opened upwards their notebooks to page 72 together with championship the page "The Discriminant Is Our Friend!"
Of course, a pupil asks me if I am racist. Ahem. The discriminant is our friend. NOT discrimination is our friend. There is a definite difference!
Moment of Honesty: Last year, I didn't fifty-fifty learn my Algebra 2 students nigh the discriminant. Last year, my unit of measurement on quadratics was less than stellar, together with that was reflected inward our seek scores. Of all the topics covered inward Algebra 2, my students performed the absolute worst on quadratic functions. This year, I laid out to modify that!
Discriminant is a scary sounding word. But, my students before long realized that it was actually no harder than the quadratic formula. I'm hoping that i of the things that my Algebra 2 students accept away from my classroom is that scary sounding price are non necessarily difficult. For example, lots of students came to dearest logarithms.
We created a foldable inward our notebooks that was shamelessly stolen 100% from Nora at Simplifying Radicals. I had problem getting her Word File to opened upwards for me correctly, together with therefore I ended upwards having to retype the foldable. But, all of the textile is hers!
On the outside, nosotros labeled the iv flaps. One flap contains basic data nigh the discriminant. The other 3 flaps comprise examples where the discriminant is equal to zero, greater than zero, together with less than zero.
This was the outset fourth dimension my Algebra 2 students had always made a foldable inward this style. When the flaps are unfolded, at that spot are xvi squares to write in.
My students' entirely electrical load was that the squares were likewise small. I didn't direct maintain whatever problem writing inward the squares, exactly I did direct maintain to utilisation pen instead of marking due to size constraints.
We took to referring to the dissimilar parts of the foldable equally quadrants, named equally the quadrants of the coordinate plane.
In the minute quadrant, nosotros discussed what the discriminant was.
The tertiary quadrant contained an event to piece of job out where the discriminant is greater than zero.
The quaternary quadrant contained an event where the graph had no existent solutions together with ii imaginary solutions.
The outset quadrant was an event of a quadratic equation amongst i existent solution.
This foldable took longer to consummate than I anticipated (about 1.5 50 infinitesimal shape periods), exactly I mean value it was good worth the time.
To notice out to a greater extent than nigh this foldable, endure certain to cheque out the Simplifying Radicals blog.
At this point, my students direct maintain already memorized together with proficient applying the quadratic formula. I instruct them to opened upwards their notebooks to page 72 together with championship the page "The Discriminant Is Our Friend!"
 |
| The Discriminant Is Our Friend |
Moment of Honesty: Last year, I didn't fifty-fifty learn my Algebra 2 students nigh the discriminant. Last year, my unit of measurement on quadratics was less than stellar, together with that was reflected inward our seek scores. Of all the topics covered inward Algebra 2, my students performed the absolute worst on quadratic functions. This year, I laid out to modify that!
Discriminant is a scary sounding word. But, my students before long realized that it was actually no harder than the quadratic formula. I'm hoping that i of the things that my Algebra 2 students accept away from my classroom is that scary sounding price are non necessarily difficult. For example, lots of students came to dearest logarithms.
We created a foldable inward our notebooks that was shamelessly stolen 100% from Nora at Simplifying Radicals. I had problem getting her Word File to opened upwards for me correctly, together with therefore I ended upwards having to retype the foldable. But, all of the textile is hers!
 |
| Discriminant Foldable - Outside |
On the outside, nosotros labeled the iv flaps. One flap contains basic data nigh the discriminant. The other 3 flaps comprise examples where the discriminant is equal to zero, greater than zero, together with less than zero.
This was the outset fourth dimension my Algebra 2 students had always made a foldable inward this style. When the flaps are unfolded, at that spot are xvi squares to write in.
My students' entirely electrical load was that the squares were likewise small. I didn't direct maintain whatever problem writing inward the squares, exactly I did direct maintain to utilisation pen instead of marking due to size constraints.
 |
| Discriminant Foldable - Inside |
We took to referring to the dissimilar parts of the foldable equally quadrants, named equally the quadrants of the coordinate plane.
In the minute quadrant, nosotros discussed what the discriminant was.
 |
| What is the Discriminant? |
The tertiary quadrant contained an event to piece of job out where the discriminant is greater than zero.
 |
| When the Discriminant is > 0 |
The quaternary quadrant contained an event where the graph had no existent solutions together with ii imaginary solutions.
 |
| When the Discriminant is < 0. |
The outset quadrant was an event of a quadratic equation amongst i existent solution.
 |
| When the Discriminant is = 0. |
This foldable took longer to consummate than I anticipated (about 1.5 50 infinitesimal shape periods), exactly I mean value it was good worth the time.
To notice out to a greater extent than nigh this foldable, endure certain to cheque out the Simplifying Radicals blog.
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