To wrap up this course, here are few of the many things I learned this year! TIME MANAGEMENT & MOTIVATION One thing I valued in this course is time management. At the beginning of the course, it was the peak of the Dance season. I was rehearsing for hours and then I had to come […]
Category: Math 11
Week 17 in Precalc 11 – Trigonometry: Ambiguous Cases
I chose this topic because I find it interesting how the given angle influences whether there will be 2 possible triangles or not. Trigonometry: Ambiguous Cases For triangles that use the sin law, there is a possibility to have 2 triangles because the triangle could be in Quadrant 2 or Quadrant 1 (quadrants where […]
Week 16 in Precalc 11 – “CAST Rule- Finding Exact Trig Values”
I chose this topic because I find it interesting how each (positive) trig ratio is assigned to a specific quadrant. CAST Rule- Finding Exact Trig Values Note that for our purposes, you can only find exact trig values without technology for rotational angles 0, 30, 45, 60, 90, 180, 270, and 360* Here are […]
Week 15 in Precalc 11 – “Identifying Rotation Angles less than 360°”
I chose this topic because it is the first lesson of the trigonometry unit. Identifying Rotation Angles less than 360° To identify rotation angles, the measure of the amount that the line is rotated after a fixed point, we must understand the angle in each “arm” of the x-y axis. See illustration below […]
Week 14 in Precalc- Solving Rational Equations (Linear vs. Non-Linear)
I chose this topic because it combines most of the things the class learned in this unit. Solving Rational Equations Step 1: FACTOR– To begin, it is always best to factor at the very beginning where possible (this goes for both expressions and equations). Then, ALWAYS WRITE THE RESTRCTIONS FROM THIS STEP. Step 2: […]
Week 12 in Precalc 11 -Graphing Quadratics with Inequalities
I chose this topic because shading the graph to indicate inequality symbol is a new concept I learned this week. Graphing Quadratics with Inequalities Step 1: VERTEX FORM– If not already, your inequality should be in vertex form by completing the square. This way, it will be easier to graph. Click here for my […]
Week 11 in PreCalc- “Converting General Form to Vertex Form: Completing the Square”
Converting General Form to Vertex Form: Completing the Square I chose this topic because this was something I struggled with in the beginning of the unit. Step 1: Think of the constant as a separate term from the middle term and leading term. example 1 example 2 Step 2: If there is a leading coefficient […]
Week 10 in PreCalc- “Finding the Vertex with Two Points Given”
I chose this topic because it includes a flashback from Math 10. Finding the Vertex with Two Points Given Usually, a vertex and a point is given to identify the equation in standard form. But for this question, we are given two points to find the vertex, and we can do this by using the […]
Week 9 in Precalc 11- “Graphing Standard Form Equations”
I chose this topic because it’s something new that I learned this week. Graphing Standard Form Equations To graph these equations, we must understand the following: Parent Function (y=x^2)– is the “original” parabola function without the translations. The translations (the changes of the location and “measurements” of the parabola) are indicated by the following: Stretch […]
Week 8 in Precalc 11 – Simplifying with Fractional Exponents
I chose this topic because it is something I need to go back and review for the midterm. Simplifying with Fractional Exponents example 1: example 2: Step 1: EVALUATE FRACTIONS- Begin by evaluating the fractions like normal example 1: example 2 Step 1.2: Then, write the difference of the fractional exponents on the numerator. […]