Categories
Exponential Functions Interpreting Functions Linear, Quadratic, and Exponential Models* Rational Expressions

Seeing Exponentials Where They Aint

Photo (4)

 

Did this kid just get excited by a coincidence? Or is there something deeper going on here?

(Thanks Tina!)

Categories
Expressions Rational Expressions Seeing Structure in Expressions

Squaring doesn’t make equivalent fractions

SquareError

 

Squaring doesn’t make equivalent fractions.

Thanks again to Gregory Taylor for the submission.

 

Categories
Arithmetic with Polynomials and Rational Expressions Feedback Rational Expressions

Rational Expressions

IMG_20130331_173311

 

How would you help this student?

Another thought: would this student have made this mistake at the beginning of the problem? In other words, is this mistake more likely to happen as the problem goes on than at the beginning? If so, then what does that say about problem-solving?

Thanks to Anna for the submission!

Categories
Arithmetic with Polynomials and Rational Expressions Feedback Rational Expressions Rational Expressions

Factoring + Rational Expressions

IMG_20130331_171842 IMG_20130331_172201

What’s the fastest way of helping these students?

Thanks to Anna for the submissions.

 

Categories
exponents Rational Expressions Seeing Structure in Expressions

Negatives

What’s going on in this (reconstructed) student work? Tell a story in the comments.

And then go thank Christopher Danielson for sharing this stuff.

Categories
Arithmetic with Polynomials and Rational Expressions exponents Rational Expressions Seeing Structure in Expressions

Cross-Multiplying

What’s the mistake? Diagnose the disease, and find the cure in the comments.

Thanks to Anna Blintsein for the submissions. Go follow her on twitter!

Categories
Rational Expressions Reasoning with Equations and Inequalities Solving Linear Equations

Solving equations with fractions

Where did the kid get 48 from? How would you help him, err, not get 48 in the future?