If you’ve had much experience with Algebra and Geometry, you know that graphs are a thing.
There’s a wealth of information hidden where two equations have the same solutions, and graphing and seeing where two curves intersect can guide us there faster.
In this episode of Study Hall: Algebra, we’ll tweak the techniques we’ve learned in our last two episodes on graphing — like employing symmetry and plugging in points to plot data — to graph just about everything else we might encounter in college algebra.
This activity allows students to explore ways to be creative by designing and making a pieces of art with polar graphs.
Students often find the interpretation of graphs extremely difficult – this has been shown in research and from many stories of interviews with college students and with younger students.
The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs, Systems of equations and inequalities, and more.
Learn trigonometry for free—right triangles, the unit circle, graphs, identities, and more.
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
Collect as many diamonds as you can by drawing three straight lines.
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?