![]() There are lots of other ways that students could solve this problem. I complete my table, systematically decreasing the number of feet by decreasing goats and adding chickens, while maintaining the necessary number of animals. If I’m using this method to show a possible solution pathway, this would be the point at which I ask the students if they see a pattern developing. I begin by deducting one goat, adding one chicken, and reconciling the number of feet row by row. I can then work backwards to my solution. Once my columns are in place I can see that I have 10 feet too many. Using this info, I could create a six-column table. I might divide 22 by 2 and use 11 + 11 as a jumping-off point. Start with a guesstimated number for the two animals. Finally, I checked my values by substituting both into the second equation. I found that there must be 6 goats and 16 chickens. Once I had the value for g, I used it to solve for c in the first equation. Then I substituted my new value for c into the second equation. To solve this problem, I used an algebraic system of two equations, letting c represent the number of chickens and g represent the number of goats.įirst, I solved for one variable in terms of the other in the first equation. It is non-discriminatory in that I can, have, and did give this and a similar problem to students learning at the most basic level and those taking the HSE exam in the same week. ![]() ![]() This problem pushes students to think outside the box. seeing the light come on in students’ eyes when they arrive at the solution.being surprised at who solves the problem and how.seeing the different ways students draw the chickens and goats.the potential fun for students and their joy in working it out.the variety of possible solution methods: arithmetic, algebraic, pictorial, mathematical, and representational.I chose to write about this problem because I love it! I love: ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |