Math Goodies

This is a beginning 2-column proofs activity. I would first introduce the algebraic properties and have the students do some sort of work with matching up steps from an equation with the properties. This activity can be done individually or with a partner. I do partners and it works out great. There are three algebraic two-column proofs where I have mixed up the statements and reasons. The students cut them apart and then glue them back together on notebook paper in the correct order in the 2-

Students will create an original scatterplot on airline prices using miles and cost as their variables. Then they describe the relationship (positive) they see in the data, create a line of fit, and make predictions based on the data. You could easily adjust this to be more of a technology project by deleting out the amounts and requiring students to go online and find their own values.

Students use measured pieces of spaghetti to investigate the triangle inequality theorem and make a conjecture about what must be true about the side lengths of a triangle.

This worksheet offers a word problem comparing two dating apps and their costs. Students then work through three ways of looking at the problem: with a table of values, by graphing, and by writing equations. This is a good way to introduce your unit on systems of equations. You can lead a discussion on the equilibrium point as well as which app is a better deal at different levels of use.