Week 9 – Precalculus 11

This week felt like a lot of review. Wether it be review for our chapter test tomorrow or our midterm on Thursday, it was packed with previous learning. At the start of the week we focused on going and working ‘between’ different equations and changing them from one form into another. The three forms we covered are General Form, Factored Form and Standard / Vertex Form. We can interchange these formulas to give us different pieces we need for graphing. Therefore, if you were given an equation in General Form and you were asked to change it to Vertex Form you would use the method of completing the square. If the equation was y=-4x^2-24x-7. First, you would divide by -4 to get the x^2 by itself, then you will re-write your equation as y=-4(x^2+6+blank-blank)-7. In order to find the numbers that go in the blank you will need to spilt the middle term and square it! (middle term being 6). That would give you 9, you then put the 9 in the 2 blank spots. Your equation will now be y=-4(x^2+6+9-9)-7. Next you will create your binomial and multiply the -9 by -4 to be able to move it to the outside of the brackets. Your new equation will now be y=-4(x^2+3)+36-7. The next step is to subtract the 7 from 36 leaving you with 29. Your new equation is -4(x^2+3)+29. With this new equation we are now able to find the vertex of the parabola, if it is positive or negative (opens up or down), and if it is congruent to the 1,3,5 pattern used when graphing.

Here is the same equation demonstrated on paper.

Week 7 – Precalculus 11

This is our first day this week, however its the week before spring break and I’m not here for part of the week, so I decided to complete my Blog Post now! Today we learned about DETERMINANTS . We learned how part of the Quadratic Formula is used when solving determinants. I have included a few main ideas and examples of questions and hints involving determinants. Enjoy.

Week 5 – Precalculus 11

This week in Precalculus we started a new unit! Solving Quadratic Equations. We primarily focused on review and factoring Binomials and Trinomials. I enjoyed this last year, so I liked this week. Of course it was not the same as last year, but I learned and revisited the idea / synonym; CDPEU and that is what I am going to be talking about in this Blog Post! I will provide a silly sentence to remember this trick and an expression to go with each letter! So far, this helpful hint has been used in almost everything we have done. Enjoy 🙂