Author Archives: Sybil Shaver

Topics: • Please make sure that you review the material on Trigonometry from the last two classes. You must become very familiar with the two special right triangles, and with the standard position for a triangle in the coordinate plane. … Continue reading →

Test 3 review self-tests have been posted on Piazza, along with the answers and references to the textbook sections. For completing the square in the equation for a parabola, you should look at the WeBWorK assignment on parabolas (which uses … Continue reading →

Topics: • Trigonometry topic: special right triangles (continued) The two important right triangles are: • The isosceles right triangle, • The half of an equilateral triangle – which I will call the half-equilateral triangle for short. These are commonly called by other names … Continue reading →

Topics: • Solving systems of linear equations: what does “linear” mean? Classification according to the number of solutions. The pictures I used in class came from these two sites: Systems of linear equations at Math is Fun Solving linear systems … Continue reading →

Topics: • Completing the square to put the equation of a circle into its standard form • Brief review of solving a system of 2 linear equations in 2 variables by elimination • Solving a system of 3 linear equations … Continue reading →

(Wednesday after the test) Topics: • Completing the square to put the equation of a parabola into its vertex form , when the leading coefficient is not 1. Reminder: The method we use, which the WeBWorK leads you through step-by-step, … Continue reading →

Topics: • The Quadratic Formula and what we can learn from it about solutions to quadratic equations • Graphs of quadratic functions   Summary of what the Quadratic Formula tells us about the solutions to quadratic equations: These observations come … Continue reading →

Here is the Test 2 review Self-Test (it is broken into two parts, which you should use separately to test yourself): MAT1275Test2ReviewSpring2017 And here are the answers along with references to review: MAT1275Test2ReviewAnswersSpring2017

Topics: • More on using the Square Root Property (from discussion of homework problems) • Perfect squares of binomials (perfect square trinomials) and Completing the Square • Quick look at solving quadratic equations by completing the square, to get to… … Continue reading →

Topics: • Solving quadratic (and other polynomial) equations using the Zero Product Principle (section 4.8, up to Example 4 – here is a source which discusses factoring by grouping, also known as the ac method, for the case where the … Continue reading →