I bet a lot will be relieved to know that we have pushed the Solving Quadratics unit exam back to Wednesday, Dec. 5th! This gives you another couple of days to make sure you know the material in order to do well on the test.
In other news, we looked yet again at how to choose the best method for solving quadratic equations. What works for one equation may not work for another, so we have to go on a case by case basis. The list below summarizes the pros and cons of each:
- The square root property will only work if there’s no “x” term.
- Not all quadratics are capable of being factored.
- For graphing to work, the roots need to be pretty.
- The quadratic formula always works but is very tedious.
Have a wonderful weekend and good luck on the English 1 STAAR test if you are taking it Monday!
Notes – L9-7 Solving Quadratics using Any Method
Assignment – (A9-7) quadratic equations any method
… Just don’t pick your friend’s nose.
Speaking of picking, that’s what we were doing today – picking the best method to solve a quadratic equation. We’ve covered four methods in this unit that are useful in solving these equations:
- Square Root Property
- Quadratic Formula
As we briefly mentioned today, each method has it’s pros and cons. Some work when others won’t, but the Quadratic Formula never fails because it’s the Manly-Man of methods! However, it is very tedious and time-consuming! We will talk more in detail about putting the different methods together during the lesson tomorrow…Stay Tuned!
Notes – L9-6 Choosing a Method for Solving Quadratics
We had a little blast from the past today for the lesson and notes! Okay, maybe it wasn’t that far in the past, but it was still something that we saw back in the last unit. What was it, you ask? We found the zeroes of quadratic functions using graphs and tables! A lot would say it was easy-peasy, lemon-squeezy and that’s a good thing because it means you are becoming professionals at finding those sneaky little things! Nonetheless, it was nice to have a easier day today. Catch ya on the flip side of this night!
Notes – L9-5 Finding Zeroes of Quadratic Functions
Assignment – (A9-5) Finding Zeros
This will be quick, as I’ll have two posts today. However, the website has been down for the past few days. Nonetheless, here are the Notes and Assignments from Monday and Tuesday:
Notes – L9-3 Solve Quadratics by Factoring – Day 2
Assignment- (A9-3) Quadratic by factoring D2
Notes – L9-4 Solving Quadratics using the Quadratic Formula
Assignment – (A9-4) quadratic by formula
Can you taste the turkey, ham, and dressing yet? We have only half of a day left and then we are out for the break. That means today’s assignment was the last normal assignment before the break (and the last time you’ll here from me on here for a while). Tomorrow, we have a math-related “activity”, but there won’t be anything to make up.
However, first things first – today’s lesson. If you remember the factoring unit of last month, well it is here again to grace us with his presence. This time, we will use this method to solve quadratic equations by factoring. This can be down with four easy steps:
- Make sure the equation is equal to 0 and in standard form (ax² + bx + c = 0)
- Factor the equation
- Set each factor equal to 0
- Solve each factor for x.
If you can do these four simple steps, then you have it made! Have a great AND safe Thanksgiving break and I’ll see you on the flip-side!
Notes: L9-2 Solve Quadratics by Factoring – Day 1
Assignment: (A9-2) quadratic by factoring
While we haven’t been necessarily out of school, we have been doing activities, a review, and a test. This means no posting on my part. However, we have a new unit upon us right before the break, so back to posting I go!
While it is a new unit when we are wanting to be in “break mode”, I think you will agree that today was pretty pain-free. Heck, for over 80% of the class, it was so pain-free they had nothing to even take home and had a lot of free time. This is because we were solving quadratic equations using the square root property. This is the easiest way to solve the problem is there is no “x” term in the middle. All you have to do is get x² by itself, take the square root, and then round if needed. See the notes for all the deets…
Notes: L9-1 Solve Quadratics using Square Root Property
Assignment: (A9-1) quadratic by square root
Today’s lesson was more of the same thing that we have been doing since Monday. Essentially, we just gave it a different name. This time, we are trying to solve quadratic equations by graphing. This is the first of many methods to come that we will learn in regards to solving quadratics. Since it involved graphing, we decided to include it in this unit in order to get more practice. Nonetheless, it is just as straightforward. You just have to get the quadratic equal to 0, graph it, and then see where it crosses the x-axis. That’s it!
Notes: L8-4 Solving Quadratics by Graphing
Assignment: (A8-4) quadratic by graphing
As if yesterday were not easy enough, we did a little more work today with graphing quadratic functions. This time, not only did we have to graph them, but we had to identify the vertex, roots, and axis of symmetry. The easy way to remember the vertex is that it is where the function turns. For the roots, we just need to remember that it is where the function crosses the X-axis. Finally, for the axis of symmetry, just remember that it is the line that cuts the parabola in half. Pretty simple stuff once you get the hang of it, but it can still catch you off guard if you aren’t paying attention!
Notes: L8-2 Quadratic Functions – Part 2
Assignment: (A8-2) Quadratic functions part 2
Today starts the last topic for the semester, and course for that matter! How does it feel to say/know that?! We will spend a week and a half graphing quadratics and learning that down pat. Then, we will start solving quadratic equations about 4 different ways. We are closer than you think to the end, so don’t give up now!
As far as today goes, we looked at what happens to the parent quadratic function when we make adjustments using the y = ax²+c format. The rules to remember are that if:
- a>1, we open up and are narrow
- 0<a<1, we open up and are wide
- -a flips the graph
- + c moves the graph up
- – c moves the graph down
If you can remember these five rules, you’ll be golden! Until tomorrow, Peace Out Boy Scout!
Notes: L8-1 Quadratic Functions – A & C Impacts
Assignment: (A8-1) graph y = ax^2 + c (part 1)
Today was an exciting day as went sent the Varsity Cross Country boys off to their state competition. Run Forrest Run!!!
Before that, we had a busy day today in the classroom. First we had the notebook checks, which should have been an easy 100 for a test grade. Then, we had to look at the review in preparation for tomorrow’s test. Yep, you read that right – we have a TEST TOMORROW!!! That means I’ll keep this short and to the point, because if you are reading this, put the phone down (or get off your laptop) and start studying!!! Below is the filled in review for your reference.
Filled-in Review: Unit 7 Review