Today’s lessons use a little bit of ‘real-world’ application. You will see images that are part of the graphs, which are used to help illustrate the problems and see how math can be utilized to make a problem easier or more understandable. In the first activity, images are used along with a coordinate grid to help visualize the situation. Students use the slope formula and a tangent formula to help find the angle of a spotlight beam that is positioned to show off art work. The second activity uses images that can then be drawn on to help visualize a real-world situation of a tunnel. This ability helps students the connection of the ‘tunnel’ to circles and the equation of the circle, and they will then use their understanding of solving equations for specific variables to help answer specific questions about the situation. They will also be finding the area and perimeter of shapes within the circle, which requires working with radical equations. There is even an extra portion where the tunnel is now elliptical.
These two activities highlight a couple different things in ClassPad.net, the free dynamic math software that is being used. One is the ability to add images to graphs and geometry so that you can use them as part of the problem-solving. This means creating points or objects on top of the images to help visualize and connect the math. There are also some templates that are being used, such as the absolute value, fractions, and you will see how the text stickies allow for math-type when students are writing in their solutions/explanations.
Here are the links to the two activities and the video overview that explains each activity and shows some of the functionality:
- Algebra II -Spotlight on Art (absolute value, slope formula, tangent formula for spotlight beam, visual images on coordinate grid)
- Algebra II – Do You Have Tunnel Vision? (circle equation, area, perimeter, radical equations).
The tool being used in these mini-math lessons is the FREE web-based math software, ClassPad.net.
Remember – if you want to save and/or modify any of these activities, create a free account. Some useful links below:
- How to create a free ClassPad.net account (for anyone – students, parents, teachers)
- How to organize activities & share activities
- Some Ready-to-use activities that are already out there
- ClassPad.net YouTube Channel