Go to Geogebra.org. Click on Geogebra Math Apps. Choose Spreadsheet. Enter your data in the spreadsheet. Click in the graph area, then right click and choose Graphics. In the Basic tab, change your x- and y- mins and maxes to represent your data points. Click on the Grid tab and Show Grid if you want. [...]
Reviewing Parent Functions In Pre-Calculus class we dove right in and reviewed five of our parent functions. Screen shots of Reviewing Parent Functions Geogebra Activity are shown below. I will likely rework it next year to include a slider for a variable "b" that reflects across the y-axis and horizontally stretches/shrinks the graph. I made [...]
Polynomial Functions Pre-Calculus has a heavy emphasis on learning how to graph various functions. The Polynomial Functions Exploration is one strategy for learning how various functions behave based on the sign of their leading coefficient and the highest power of the polynomial. I find that my students remember functions ending behavior better when they discover [...]
We have spent some time learning how to graph circles, limacons, rose curves, and lemniscates on the polar coordinate plane. The material you see below is borrowed heavily from Yosh's Graphing Polar Equations part 1, part 2, and part 3. I have included a link to the Word document instead of a pdf of the [...]
The start of the second semester has me teaching both Algebra II and Pre-Calculus trigonometry simultaneously. My initial plan is to post material for both classes here. It it becomes confusing or too cumbersome, I'll split the two classes. Algebra II Right Triangle Trigonometry A foldable on trig concepts seems in order given the amount [...]
When you are given two lines, there are many ways to determine if and where they intersect. You can graph them, solve by substitution, solve by elimination, and use matrices to solve. Two-Variable Linear Systems Solving systems by elimination is the focus of this video. https://youtu.be/80_Mlz7t_ko Two-Variable Linear Systems Section 7.2 notes Multi-Variable Linear Systems [...]
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 [...]
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 [...]
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) / [...]
