| Factoring Polynomials: Introduction |
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| After showing that the first and last terms of a trinomial are the result of multiplication, while the middle term is the result of addition or subtraction, I present a dependable way to factor trinomials, or see that they are prime. I cover five factoring problems, one of which is prime, in the first 15 minutes. I then offer a mixed practice with five more problems, where one may pause the video and try them first. | The first "Sheets Used in Video" page already has the text that gets filled in as I work on the first two problems. The meaning of the text will become clear as you work along with the video. (I chose to include the text to save you the trouble of writing it, but you may benefit most from covering it until it is revealed in the video, otherwise it may be a distraction.) The "Factoring Polynomials: Introduction" worksheet has four colums of five problems each. The columns have a similar variety of problems, so you can benefit from building in breaks between working the columns; this helps to promote your long term memory. |
| Sheets Used in Video Sheets Used in Video (Answer Key) Factoring Polynomials: Introduction Factoring Polynomials: Introduction (Answer Key) I hope to have a comment option before Fall 2018. |
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| Greatest Common Factor: Introduction, Factoring with GCF as First Step, Factoring with 2 Variables |
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| I present factored terms of a trinomial to illustrate the concept of GCF prior to factoring it out. Then I cover three more polynomials in which I factor out the GCF more directly. Next I offer three short "rules" one can follow for factoring in general, prior to covering three more trinomials with GCF as the first step. On the last of those, I factor out a negative coefficient to cause the first term to become positive. Lastly, building off the factoring of a trinomial with one variable, I introduce how to handle factoring a trinomial with two variables. | I encourage you to print the "Sheets Used in Video" to assist you in working along with the video. There are a couple problems at the end for which you may want to pause the video so you can try factoring on your own. That will help you to learn and retain the information. The "GCF: Intro, Factor w GCF as First Step, Factor w 2 Variables" worksheet has four columns of five problems each. The columns have similar problems; take a break between columns to help promote your long term memory. |
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Sheets Used in Video Sheets Used in Video (Answer Key) GCF: Intro, Factor w GCF as First Step, Factor w 2 Variables GCF: Intro, Fact w GCF as First Step, Fact w 2 Var (Answer Key) I hope to have a comment option before Fall 2018. |
| Factor Polynomial by Grouping: Introduction & Factoring a Difference of Squares | |
| With these videos I finish presenting the four "Rules for Factoring," which offers a systematic approach to handling the wide array of possible factoring situations. The first video introduces how to "Factor by Grouping," by working through nine problems. The second video is a "Mixed Practice" of those concepts, but does build a bit on what has been covered. The third video introduces how to factor a "Difference of Squares." That is not directly related to factor by grouping, but it allows me to finish out the Rules for Factoring, and it provides more variety for the practice worksheet that follows. | I encourage you to print the "Sheet(s) Used in Video" to work along with me, and to pause the video and try to work ahead, should you feel ready to tackle one on your own. The practice worksheet, "Factor Poly by Grouping: Intro & Factor Difference of Squares," next to the third video has 16 problems. Given the wide array of possible factoring problems, you need to work the first 8 to get a sample of what is covered in these three videos. That said, to help promote your long term memory, you should pause for some time after completing (and checking/correcting) the first 8 problems. Then try rewriting the Rules for Factoring and trying the next 8 problems. |
| Sheets Used in Video Sheets Used in Video (Answer Key) I hope to have a comment option before Fall 2018. |
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| Sheet Used in Video Sheet Used in Video (Answer Key) I hope to have a comment option before Fall 2018. |
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| Sheet Used in Video Sheet Used in Video (Answer Key) Factor Poly by Grouping: Intro & Factor Difference of Squares Factor Poly by Grouping: Intro & Factor Difference of Squares (Answer Key) I hope to have a comment option before Fall 2018. |
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| Factoring Polynomials: Review of Introduction Videos (Use the Rules for Factoring) | |
| I review the 4 Rules for Factoring, which I developed in the "Introductory Videos," and then use them as a guide for most of the dozen or so factoring problems. Through this, I demonstrate the usefulness of having a "roadmap" to follow when confronting a wide variety of possible factoring problems. |
As a review, this video and these worksheets do not go into the detail of the previous presentations. That said, it is important to summerize the main concepts covered, in order to organize the various strategies for factoring polynomials. Each worksheet has eight problems per side, and one needs to complete one side for a complete sample of the possible factoring situations. Thus, it is best to finish one side, correcting and learning from any mistakes, prior to pausing and then attempting another side. Appropriate pauses or breaks can help to develop long term memory of these concepts. |
| Sheets Used in Video Sheets Used in Video (Answer Key) Fact. Poly.: Review of Intro. Videos- Sheet A (No Primes) Fact. Poly.: Review of Intro. Videos- Sheet A (No Primes) (Answer Key) Fact. Poly.: Review of Intro. Videos- Sheet B (Some Primes) Fact. Poly.: Review of Intro. Videos- Sheet B (Some Primes) (Answer Key) I hope to have a comment option before Fall 2018. |
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