Introducing Chemical Compound Inequalities Amongst A Foldable

I select NEVER been happy alongside how I've taught chemical compound inequalities inwards the past. I've never genuinely given my students equally argue for why nosotros demand to fifty-fifty bargain alongside chemical compound inequalities inwards the offset place.

Here's the foldable I ended upwardly creating for my Algebra 1 students this year:

On the exterior of the foldable, nosotros did i instance of an AND inequality as well as i instance of an OR inequality. Before doing these examples, I had the students produce a "Stand Up If..." activity.

Stand upwardly if y'all are wearing blue.
Stand upwardly if y'all are wearing shoes that select laces.
Stand upwardly if y'all are wearing bluish or are wearing shoes that select laces.
Stand upwardly if y'all were born inwards November.
Stand upwardly if y'all were born inwards December.
Stand upwardly if y'all were born inwards Nov as well as December.

That concluding i sparked a combat of a theological give-and-take I wasn't planning for. I asked my students why no i was standing up. One pupil told the cast that it was impossible to live on born inwards 2 dissimilar months. Another pupil piped inwards that it wasn't genuinely impossible. You could live on physically born inwards i of the months as well as spiritually reborn inwards approximately other month. Soon, students were talking virtually how approximately people don't believe inwards God. As much equally I handgrip that y'all tin live on spiritually reborn, I've been hired to instruct my kids math, non Christian theology. So, I set a halt to this conversation equally before long equally I could, as well as I made certain to piece of occupation dissimilar examples the residue of the day!

After I felt similar my kiddos had a grasp of the departure betwixt AND as well as OR, nosotros looked at approximately "I am thinking of a number" problems.

Before nosotros did anything else, I had my students create upwardly one's hear if each contestation was an AND contestation or an OR statement. The offset i tripped them upwardly a combat because it has both the words OR as well as AND inwards it. The OR, however, is business office of "less than or equal to."

Next, nosotros made a graph of the chemical compound inequality. For the AND inequalities, I similar to present students my nifty SMARTBoard trick. (You may select to hold off a 2d for the video to charge below!)

At offset the kids intend my play a joke on is kinda lame, but as well as then they start begging me to produce the highlighter play a joke on EVERY SINGLE TIME nosotros shade an AND inequality.

I besides genuinely similar to emphasize WHY nosotros tin write our AND inequalities 2 dissimilar ways. This is something I've never genuinely emphasized alongside kids before because I ever idea it was only obvious. It may live on obvious to me, equally a math teacher, but it's definitely NOT obvious to them!

I explicate it similar this: If I know that x > -8 as well as x <= 4, as well as then I tin write this equally a unmarried chemical compound inequality because of the intelligence AND. When nosotros write inequalities, nosotros ever demand to write the numbers inwards the same companionship equally they present upwardly on the set out line. -8 comes before 4, thus I write it similar this:

-8 ___ x ___ 4

One of these is soundless inwards the same companionship equally it was written before. The variable x was written before the iv earlier, as well as it's written before the iv now. So, nosotros tin only convey downwardly the less than or equal to symbol. Earlier, nosotros had the variable x written before the -8. Now, -8 is written before the x. The greater than symbol must learn a less than symbol to accomodate this switch.

You tin uncovering the files for this foldable here.