Category: Algebra 1

Slope and Division of Negative Numbers

Post author By mpershan
Post date March 17, 2013
4 Comments on Slope and Division of Negative Numbers

@mpershan Can’t tell you how many times I saw this mistake this quiz. Yikes! twitter.com/mr_stadel/stat…

— Andrew Stadel (@mr_stadel) March 17, 2013

What’s the fastest way to help this kid?

Incidentally:

@mpershan Yes, please post. Visually, if most of them graphed the line would identify +slope. Abstractly, they either rush or forget it’s +.

— Andrew Stadel (@mr_stadel) March 18, 2013

@mpershan I need to encourage them more to make a sketch of the 2 pts first in order to visualize and identify the slope first.

— Andrew Stadel (@mr_stadel) March 18, 2013

Arithmetic with Polynomials and Rational Expressions factoring Feedback

Factoring and Canceling

Kelli Prine submits the above, and asks “This student keeps factoring the terms and canceling. What can I do to clarify the process?”

I expect some excellent comments on this one. Don’t disappoint.

Distributive Property Expressions Expressions & Equations

Distributive Property, Again!

Post author By mpershan
Post date March 14, 2013
2 Comments on Distributive Property, Again!

What task or problem would you have this student attempt? Or would you follow this up with an explanation?

Thanks to John Weisenfeld for the submission!

Expressions and Equations Systems of Equations

“Are there systems that have three solutions?”

Post author By mpershan
Post date March 8, 2013
2 Comments on “Are there systems that have three solutions?”

Students were prompted to graph a systems that has more than one solution, and one group provided the work above, confident that they had a system with three solutions.

So, how do you respond to the group? What do you say?

Thanks again to Nicole Paris for the submission.

Expressions and Equations Systems of Equations

Solving Systems Algebraically

Post author By mpershan
Post date March 7, 2013
3 Comments on Solving Systems Algebraically

Spot the mistake, and then say something smart about it.

Thanks to Nicole Paris for the submission.

Distributive Property Expressions & Equations

Another awesome Distributive Property mistake

Post author By mpershan
Post date March 6, 2013
5 Comments on Another awesome Distributive Property mistake

We actually have an explanation from the student, and hopefully Alison Royster will be kind enough to jump in on the comments and provide it.

exponents Expressions Expressions and Equations

Combining like terms…

…is probably looking like an unfortunate name for adding monomials when you see a mistake like this one. Right?

Or wrong? Speak up in the comments. And more thanks to John Weisenfeld for the mistake.

factoring Seeing Structure in Expressions

Factoring

You grade this on Sunday. What do you do on Monday? Go over the procedure that this student almost flawlessly executed? Again? What do you emphasize? Checking your answer?

Thanks to John Weisenfeld for the submission.

Equations of Parallel and Perpendicular Lines Linear, Quadratic, and Exponential Models* slope

Holy cow, there’s a lot to dig into here. Read this post carefully.

Post author By mpershan
Post date February 21, 2013
6 Comments on Holy cow, there’s a lot to dig into here. Read this post carefully.

There’s a ton to comment on here. I doubt you’ll need much in the way of a prompt, but here goes: what mistakes are missing? You grade this test on Sunday; what does Monday’s class look like?

Thanks to Tina Cardone, who is not-so-slowly taking over this blog, for the submission.

Operations & Algebraic Thinking Ratios and Proportions