Your new post is loading...
This is a series of six posts about how I approach topics in PreCal. They represent a sample of what I get the most questions about which always seem to start "how do you..." Objective Students can define a vector as an arrow of varying length pointed in a particular direction. Student can compose a right triangle from a vector by finding the horizontal and vertical components of the vector. Students can combine vectors in component form or with given magnitudes and directions and findi
We just wrapped up our intro to radian measure in Trig, which includes the unit circle. My personal philosophy is that students don't really need to memorize the unit circle, because if you understand where it comes from, you can always derive it. I've done a "build the unit circle" activity for a few years,…
ideas and resources for mathematics teachers of 10 to 16 year olds
We define polynomial functions and equations, and show how to solve them using computers. Factor and Remainder Theorems are included.
The Launch Last week I met up with my coteacher in Algebra 2. We're working on our unit of exponential functions and logarithms, and we were talking about spending a short amount of time introducing "e" to our kids. Personally, this question has haunted me because when I taught Algebra 2 at the start of…
I'm teaching my algebra students about logarithms today. It is likely the hardest algebra topic there is. When I started at Contra Cost
Usually the first application of integration is to find the area bounded by a function and the xaxis, followed by finding the area between two functions. We begin with these problems First some calculator hints Graphing Integrals using a graphing calculator to graph functions defined by integrals Graphing Calculator Use and Definition Integrals – Exam…
Share ThisIf you think others need to see this, share it on one of the sites below by clicking on the button.[This is one of a series of posts that explore real world examples of mathematical modeling to help educators better understand its applications. To learn about Spies and Analysts, I recommend watching this webinar…
Share ThisIf you think others need to see this, share it on one of the sites below by clicking on the button.[This is one of a series of posts that explore real world examples of mathematical modeling to help educators better understand its applications. To learn about Spies and Analysts, I recommend watching this webinar…
Share ThisIf you think others need to see this, share it on one of the sites below by clicking on the button.[This is one of a series of posts that explore real world examples of mathematical modeling to help educators better understand its applications. To learn about Spies and Analysts, I recommend watching this webinar…
Share ThisIf you think others need to see this, share it on one of the sites below by clicking on the button.[This is one of a series of posts that explore real world examples of mathematical modeling to help educators better understand its applications. To learn about Spies and Analysts, I recommend either reading this…
Watch a replay of my free online webinar on why we should reconsider using word problems to teach mathematics.

This past week, my precalculus students have been tackling verifying trig identities. I came down with a cold Sunday night, took Monda
A few weeks ago, I tweeted about a trig identity matchup activity I created. I promised to share the files, so that is what I am doin
ideas and resources for mathematics teachers of 10 to 16 year olds
I'm about to start a unit on logarithms. Kids don't technically know that yet. To prime them, today I gave both my Algebra 2 classes a warm up. I was super nervous about this, because I haven't seen a crazy amount of endurance from many of my kids when they get stuck on something. And I…
So, you’ve finally proven the Fundamental Theorem of Calculus and have written on the board: $latex \displaystyle \int_{a}^{b}{{{f}'\left( x \right)dx=f\left( b \right)f\left( a \right)}}$ And the students ask, “What good is that?” and “When are we ever going to use that?” Here’s your answer. There are two very important uses of this theorem. First, in…
One of the major applications of integration is to find the volumes of various solid figures. Volume of Solids with Regular Crosssections This is where to start with volume problems. After all, solids of revolution are just a special case of solids with regular crosssections. Volumes of Revolution Subtract the Hole from the Whole and…
Share ThisIf you think others need to see this, share it on one of the sites below by clicking on the button.[This is one of a series of posts that explore real world examples of mathematical modeling to help educators better understand its applications. To learn about Spies and Analysts, I recommend watching this webinar…
Share ThisIf you think others need to see this, share it on one of the sites below by clicking on the button.[This is one of a series of posts that explore real world examples of mathematical modeling to help educators better understand its applications. To learn about Spies and Analysts, I recommend watching this webinar…
Share ThisIf you think others need to see this, share it on one of the sites below by clicking on the button.[This is one of a series of posts that explore real world examples of mathematical modeling to help educators better understand its applications. To learn about Spies and Analysts, I recommend watching this webinar…
Share ThisIf you think others need to see this, share it on one of the sites below by clicking on the button.[This is one of a series of posts that explore real world examples of mathematical modeling to help educators better understand its applications. To learn about Spies and Analysts, I recommend watching this webinar…
