# [algebra] Lessons.

Some of my best lessons and ideas have been inspired by what I've seen from teachers that have shared what they've done. Maybe you'll find something useful here.

Real Numbers

Notice and Wonder: Pythagorean puzzle

3 act: Taco cart

Open middle: Pythagorean theorem

Open middle: Triangle Inequality [geogebra]

Functions

Solving equations

Systems of linear equations

I start with an application problem focus to give students an incentive for learning faster or more efficient strategies. Students start with guess and check but we move toward a table for organizing our thinking. We look at the rate of change for each quantity that can change and the effect on the overall output values we are trying to hit. I'll ask students to guess the effect lowering the value of one variable and increasing the value of the other will have. We begin to use proportions to determine how much to lower one variable and increase the other by making the connection between the difference between each of their rates. Students will also begin to recognize which variable has to be the one to increase or decrease.

Inequalities and Absolute Value