After a long Christmas break the boys have had a good four or five days back in the school room. We were ready to get back to work on the 6th, but the Polar vortex kept Dad home from work. We generally keep the same calendar as Dad.
The have been on a huge fractions kick. Apparently Me Too has been feeling taunted by the site of his own face stalled on drawer number one of the fractions cabinet and wanted to change his position:
We reviewed equivalencies and moved on to the addition of fractions with like-denominators.
We used laminated blank tickets, construction paper fraction bars, our signs and symbols box, and the fraction circles.
Above is a peek at his notebook from his first day of this work. Me Too is happy to report that his "face" has moved forward several drawers on the fraction cabinet.
Kal-El was either inspired or threatened by Me Too's advancing mug. He has been avoiding fraction work, but sat down and worked through four drawers while I taught Me Too. The mopped up all of the remaining subtraction of fractions with like denominators. There are at least 150 equations in the final subtraction drawer because it contains all possible equations each in six different formats (combinations of: difference first, difference last, numerator of difference missing, numerator of subtrahend missing, numerator of minuend missing). I told him that he only needed to do about 30 of those and that if they went well the rest would be saved for occasional review work.
Kal-El has since moved on to multiplying fractions by a whole number.
Me Too still enjoys tracing the fraction insets, particularly those in the triangular or square frames.
I can tell the boys are comfortable with fractions now because they have started using them effortlessly in daily life. Today Kal-El reported that at dinner last night (I was at the gym) Dad filled 1/3 of his plate with broccoli. Me Too, not to be left out, added that 1/12 of their plates was full of coleslaw. Yesterday in the car they were spontaneously inventing fraction story problems. Kal-El said, "Mom, if Dad gives you a dozen roses and a one-half die, how many roses do you have left?" Me Too, not to be left out (again), countered, "Mom, if Dad gives you TWO dozen roses and 1/4 die how many do you have left?" I don't think he knew the answer (When I said "18" he said "correct" but would have agreed with anything I said.) but I enjoyed the spirit of the question. Kal-El was miffed because he knows Me Too will just agree with anything I say. He asked Me Too, "If *I* had said 19 would you have said 'incorrect'?" Me Too didn't answer but Kal-El knows that Me Too DISAGREES with everything Kal-El says.