Graphing Linear Inequalities Graphic Organizer
Sunday, August 18, 2019
algebra,
Algebra 1,
Dry Erase Pockets,
graphic organizer,
Inequalities,
interactive notebook,
printable,
Reflection,
Test Points
Edit
Yesterday, nosotros started exploring the reckon of graphing linear inequalities. We've been graphing linear equations for a calendar month now, then it was fourth dimension to branch out a bit.
I created a dry out erase template for my 11 x 17 dry out erase pockets (affiliate link) to aid students empathize what it agency for a indicate to last business office of the "solution."
I volition last fleshing this reckon out to a greater extent than inwards a after spider web log post. Today, I desire to focus, instead, on the graphic organizer I created to walk my students through how to graph a linear inequality AFTER nosotros empathize what it agency for a indicate to last business office of the solution of an inequality.
This is a slightly dissimilar approach than I took final year, too I desire to accept this conduct chances to reverberate on the WHY behind my changes.
Here are photos of final year's notes.
I didn't accept a moving-picture demo of this page today, but I re-used this page amongst slight modifications.
On Step 1, I pre-typed my reminder to flip the inequality symbol if yous split past times a negative.
The biggest alter was on Step 4. I opted to movement away from pedagogy students that nosotros shade higher upward the graph for greater than too below the graph for less than. I started using this method several years agone because I constitute that my students were making mistakes when evaluating examination points. This year, I decided to genuinely emphasize evaluating expressions at the initiatory of all of the year. So far, I'm SUPER-pleased amongst how it has been going. I don't cry back I volition always larn dorsum to simply pedagogy the short-cut method for shading.
One argue for moving away for the short-cut method is that it ONLY plant when the inequality is inwards slope-intercept form. Every unmarried year, I receive got students who await at the inequality symbol inwards the master copy inequality (usually touchstone form) too operate that to determine their shading instead of the symbol inwards the slope-intercept shape version.
Also, I am starting to recognize that my conclusion a few years agone to halt pedagogy graphing equations/inequalities past times intercepts is no longer necessary. I stopped using this method because I wanted my students to genuinely receive got a conduct chances to head translating betwixt the dissimilar forms of linear equations/inequalities. For the past times 2 years, I've been making my students exercise translating betwixt dissimilar forms a LOT to a greater extent than than I used to, then I'm initiatory of all to realize that there's no argue to avoid pedagogy graphing past times intercepts anymore.
Guys, this pedagogy affair is tough. As teachers, nosotros desire to produce what is best for our students. But, it is then difficult to know what that is. It is slowly to autumn into the trap of doing something because that's how yous did it final twelvemonth without thinking if that is yet the best, most appropriate method. I'm finding to a greater extent than too to a greater extent than that I ofttimes shift the way I learn ane topic without realizing the 10 other topics that this influences also necessitate to last shifted slightly every bit a result.
Enough pondering the reality of existence a teacher. Let's larn dorsum to final year's approach.
After filling out the graphic organizer, nosotros moved right away to practice. I achieved this past times having students consummate 12 exercise problems that could last constitute inwards 2 "poof books."
When I looked dorsum at these exercise books final nighttime spell planning today's practice, I kinda cringed. There wasn't anything necessarily incorrect close my approach. It simply wasn't every bit thorough every bit it come upward be. If I wanted my students to examination points to determine their shading, where would at that spot last the infinite to produce that?
This led to my novel graphic organizer:
Instead of breaking downward the steps alone ONCE on a graphic organizer, I decided to plow over my students the construction of the graphic organizer for EVERY SINGLE PRACTICE PROBLEM. This agency my students receive got less exercise problems to reference inwards their notebooks, but I cry back they are genuinely improve references.
My students receive got genuinely taken to the reckon of testing points. They've also realized that (0, 0) is the best indicate always to test!
I'm then pleased amongst how this turned out. My students were specially happy close the larger coordinate plane! I've uploaded the files for this graphic organizer here.
I created a dry out erase template for my 11 x 17 dry out erase pockets (affiliate link) to aid students empathize what it agency for a indicate to last business office of the "solution."
I volition last fleshing this reckon out to a greater extent than inwards a after spider web log post. Today, I desire to focus, instead, on the graphic organizer I created to walk my students through how to graph a linear inequality AFTER nosotros empathize what it agency for a indicate to last business office of the solution of an inequality.
This is a slightly dissimilar approach than I took final year, too I desire to accept this conduct chances to reverberate on the WHY behind my changes.
Here are photos of final year's notes.
I didn't accept a moving-picture demo of this page today, but I re-used this page amongst slight modifications.
On Step 1, I pre-typed my reminder to flip the inequality symbol if yous split past times a negative.
The biggest alter was on Step 4. I opted to movement away from pedagogy students that nosotros shade higher upward the graph for greater than too below the graph for less than. I started using this method several years agone because I constitute that my students were making mistakes when evaluating examination points. This year, I decided to genuinely emphasize evaluating expressions at the initiatory of all of the year. So far, I'm SUPER-pleased amongst how it has been going. I don't cry back I volition always larn dorsum to simply pedagogy the short-cut method for shading.
One argue for moving away for the short-cut method is that it ONLY plant when the inequality is inwards slope-intercept form. Every unmarried year, I receive got students who await at the inequality symbol inwards the master copy inequality (usually touchstone form) too operate that to determine their shading instead of the symbol inwards the slope-intercept shape version.
Also, I am starting to recognize that my conclusion a few years agone to halt pedagogy graphing equations/inequalities past times intercepts is no longer necessary. I stopped using this method because I wanted my students to genuinely receive got a conduct chances to head translating betwixt the dissimilar forms of linear equations/inequalities. For the past times 2 years, I've been making my students exercise translating betwixt dissimilar forms a LOT to a greater extent than than I used to, then I'm initiatory of all to realize that there's no argue to avoid pedagogy graphing past times intercepts anymore.
Guys, this pedagogy affair is tough. As teachers, nosotros desire to produce what is best for our students. But, it is then difficult to know what that is. It is slowly to autumn into the trap of doing something because that's how yous did it final twelvemonth without thinking if that is yet the best, most appropriate method. I'm finding to a greater extent than too to a greater extent than that I ofttimes shift the way I learn ane topic without realizing the 10 other topics that this influences also necessitate to last shifted slightly every bit a result.
Enough pondering the reality of existence a teacher. Let's larn dorsum to final year's approach.
After filling out the graphic organizer, nosotros moved right away to practice. I achieved this past times having students consummate 12 exercise problems that could last constitute inwards 2 "poof books."
Here's an example of an within page:
When I looked dorsum at these exercise books final nighttime spell planning today's practice, I kinda cringed. There wasn't anything necessarily incorrect close my approach. It simply wasn't every bit thorough every bit it come upward be. If I wanted my students to examination points to determine their shading, where would at that spot last the infinite to produce that?
This led to my novel graphic organizer:
Instead of breaking downward the steps alone ONCE on a graphic organizer, I decided to plow over my students the construction of the graphic organizer for EVERY SINGLE PRACTICE PROBLEM. This agency my students receive got less exercise problems to reference inwards their notebooks, but I cry back they are genuinely improve references.
My students receive got genuinely taken to the reckon of testing points. They've also realized that (0, 0) is the best indicate always to test!
I'm then pleased amongst how this turned out. My students were specially happy close the larger coordinate plane! I've uploaded the files for this graphic organizer here.
0 Response to "Graphing Linear Inequalities Graphic Organizer"
Post a Comment