Final Blog Post! – Math 11

The top 5 things I learned in math was to: simplify radicals, solve for X using the quadratic formula, use the 2 special triangles, derive equations to solve for a variable (cosine law), and graph quadratics.

1. Simply Radicals

Simplifying radicals is a key topic that I learned. It is taking a radical and making it mixed to make it simpler.

2. Solving Quadratic Equations

Another important thing I picked up is solving quadratic equations using the quadratic formula. This formula is great for finding the roots of an equation like ( ax^2 + bx + c = 0 ).

3.The two special triangles the 45°-45°-90°/ the 1-1-Root 2triangle and the 30°-60°-90°/ the 1-Root 2- 3 triangle – are really useful in trigonometry. They have unique properties that make finding the lengths of sides pretty straightforward when you know the angles.

4. The Cosine Law is super handy for solving triangles when you know two sides and the included angle, or all three sides. To find the angle of a triangle with the 3 sides, we use C= cos-1(a^2+b^2-c^2/2ab)

5. Graphing quadratic functions has been another key skill. The standard form of a quadratic function is ( y = ax^2 + bx + c ). Graphing these functions involves finding the vertex, axis of symmetry, and intercepts.