Categories
Expressions Expressions & Equations

Order of Operations

IMAG0247

 

How would you help this student?

Thanks to Chris Robinson for the submission.

Categories
Geometry Graphing

Plotting Points

andy1 andy2

 

Thanks to Andy Zsiga for the submissions. He’s wondering whether anyone has perspective on why students would graph several points correctly, and then mess up the point that contains a zero as one of its coordinates.

Anyone have a theory?

Categories
Feedback Reasoning with Equations and Inequalities Systems of Equations

So close! Systems of Equations

pic 4 pic 3

 

What do you notice about these examples of student work?

Thanks to Chris Shore for the submission.

Categories
Inverse Trig Functions Trigonometric Functions

Inverse Trig Functions

precalc 17

precalc 19 2

precalc 19

 

How would you help these students?

Thanks to Tina Cardone for the submissions. Head over to the Productive Struggle blog for further analysis and discussion of these questions.

Categories
Class Set Creating Equations* High School: Modeling linear functions

Visual Patterns

Below are the same responses from every member of a class to the same question.

What seem to be the most common issues? If you graded these quizzes on Sunday, what would Monday’s lesson plan look like?

pic1 pic2 pic3 pic4 pic5 pic6 pic7 pic8 pic9 pic10 pic11 pic12 pic13 pic14 pic15 pic16 pic17 pic18 pic19 pic20 pic21 pic22

Categories
Negative Numbers The Number System

1 – (-1) = …

IMAG0251

Where does this mistake come from? I mean, the kid knows that 1 – 1 = 0, right? So does the kid think that 1 – (-1) = 0 too, or does the kid misconstrue this as 1 – 1? What’s your theory?

Thanks to Chris Robinson for the work sample.

 

Categories
Feedback Trig Identities Trigonometric Functions

“1 + 1 = 1 ????”

photo (6)

 

What’s the fastest way of helping this student?

Thanks to Jonathan Newman for the submission. You should click on his name to go to his blog.

Categories
Arithmetic with Polynomials and Rational Expressions exponents

Simplifying exponents

pic 2 edited down

 

How would you help this kid out?

Thanks to Chris Shore for the submission!

Categories
Building Functions Inverses

One inverse functions problem, many mistakes

precalc 23

precalc 23 2precalc 23 3 precalc 23 4 precalc 23 5

You grade these tests on Sunday, and you see these kids on Monday. What does the lesson plan look like?

For more context and analysis, go check out the blog from whence these came.

Categories
Expressions & Equations Solving Linear Equations

Solving Simple Equations

anne1

 

What’s the quickest way that you could help this student?

Thank you to Anne Bailey for the submission!