PreCalculus

/PreCalculus

Solving Quadratic Equations

There are many ways to solve quadratic equations. The resources below can help you remember key concepts, discover new methods, and fine tune your skills. Solving by factoring and graphing is a worksheet that contains three types of equations - perfect square trinomials, difference of squares, and factoring trinomials to solve. It also has two solving [...]

By | 2017-11-13T22:02:00+00:00 September 25th, 2015|Algebra II, Algebra Tiles, PreCalculus|0 Comments

Quadratics Galore!

Graphing quadratic functions can be overwhelming. Not only are you working with translations and transformations, but a quadratic function can be written in three different forms. Follow the steps below and check your work using Desmos and you will be a pro in no time.     An accordion style foldable adapted from High Heels [...]

By | 2017-11-13T22:02:00+00:00 September 13th, 2015|Algebra II, PreCalculus|0 Comments

Combinations of Functions and Composite Functions

Composite functions are a combination of two functions. The traditional math course introduces them like this: Let f and g be functions with overlapping domains. Then for all x common to both domains: (f + g)(x) = f(x) + g(x) (f - g)(x) = f(x) - g(x) (fg)(x) = f(x) · g(x) (f/g)(x) = f(x) / [...]

By | 2017-11-13T22:02:00+00:00 August 26th, 2015|PreCalculus, Statistics|0 Comments

Graphical Symmetry

There are three types of graphical symmetry you may be responsible for: x-axis, y-axis, and origin. Knowing the properties of symmetry can help you when sketching complex graphs. x-Axis Symmetry If an equation or function is symmetric with respect to the x-axis. you can fold the paper it is graphed on along the x-Axis and [...]

By | 2017-11-13T22:02:00+00:00 August 16th, 2015|PreCalculus|0 Comments

Rectangular Coordinates

Coordinate Plane The coordinate plane is used to represent ordered pairs of real numbers by points in a plane and determine relationships between those points and the segments, lines or curves that connect them.   The axes form four quadrants. The x values are positive from the origin to the right and are negative from [...]

By | 2017-11-13T22:02:01+00:00 August 16th, 2015|PreCalculus|0 Comments

Could Nebraska Rely Exclusively on Wind Energy in Your Lifetime?

President Obama announced his carbon pollution standards for power plants on 8/03/2015. In it he outlines a 32% cut in carbon dioxide emissions by 2030. Currently, Nebraska gets about 72% of its electricity from coal. According to the American Wind Energy Association, Nebraska has the potential of meeting more than 118 times the state's current electrical [...]

By | 2017-11-13T22:02:01+00:00 August 3rd, 2015|Graphing Calculator, PreCalculus|0 Comments

Families of Graphs

One of the benefits of graphing calculators and graphing software is that it allows you to learn things about functions and equations that would have been tedious to explore via pencil and graph paper. Families of graphs is a concept that starts with a "parent" function or equation and asks you to compare "child" functions [...]

By | 2017-11-13T22:02:01+00:00 June 23rd, 2015|Algebra II, PreCalculus|0 Comments

Angular Velocity to Linear Velocity

It is one thing to read about a tire rotating at a specified number of revolutions per second. It is another to be able to visualize it. When you add lights to bike tires and film at dusk you slow things down enough to make sense of the question. How fast is the bicycle going? [...]

By | 2017-11-13T22:02:02+00:00 March 15th, 2015|PreCalculus|1 Comment