After the warm up we returned to yesterday's work. We did one more addition/subtraction of fractions question before reviewing how to turn a mixed fraction into an improper fraction.
They, as expected, came out with the trick where you multiply the denominator by the whole part and add the numerator. I used that on the next example and got -13/5. We decided that my answer didn't make sense and talked about how to convert a negative mixed fraction into an improper fraction.
I think it's really important to make sure that everyone understands what the outside exponent means in a question like the one below. We wrote the power in expanded form first and used the product of powers law and then used the power of a power law to do the same question in a different way.
We did another one two ways. There were a lot of questions that arose along the way. Cubing one-third was a challenge!
I circulated and gave out stickers as they worked through the next example. I saw that some students got a coefficient of 686. They explained to me what they had done but I'm still a little lost. I think we cleared up how to do it correctly...
The last one combined a lot of skills.
We spent the rest of the class taking up yesterday's quiz. I only give feedback on quizzes (no mark/grade) so I asked them to spend a couple of minutes correcting the first question with the help of their notes/neighbours. It was all about terms - type of polynomial, state the coefficients, state the constant, state the degree of the polynomial). We then corrected it together. The big error that I saw was a number of students who changed every x^2 into 2x. We talked about the difference between the two.
Have I mentioned recently that I really love this class? In a happy, exhausted kind of way.