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  • Interpretation of Stories

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  1. All Things Being Equal III - The students will write equations to represent verbal statements and successive transformations that maintain or do not maintain the equality.
  2. Candy Boxes - This class centers on the possible amounts of candies two children, John and Maria, have. They each have the same, unspecified number of candies inside their own candy box. John has, in addition, one extra candy and Maria has three extra candies. What are the possible total candies they might have?
  3. Comparing Different Functions - The students will discuss, represent, and solve a verbal problem involving the choice between two functions.
  4. Comparing Graphs - Students are given an hourly rate of pay and infer coordinates for (h, $) over a range of hours. They produce a table and a graph of work-pay. Then they produce another graph for another rate of pay and discuss differences in time and pay.
  5. Comparison Problems & Tables - This class will be used to review concepts and representations as applied to the solution of verbal comparison problems and to work on function tables.
  6. Comparisons and Attributes - Work with comparisons and comparison operators (=, ≠, <, >).
  7. Dinner Tables I - Students work with a function relating number of tables to the number of available seats. One table seats 4, two tables seat 8, three tables seat 12....
  8. Dinner Tables II - Students work with a function relating the number of tables (in a straight line) to the number of available seats. One table seats 4, two tables seat 6, three tables seat 8....
  9. Formulas and Stories - The students will be required to work with the relation between different mathematical expressions (formulas) and stories.
  10. Functions - Earning Money - The students will create tables and equations from given stories. The functions are additive and multiplicative.
  11. Multiple Number Lines - Students continue to learn that two partial changes that start at different points on the number line are equivalent. At the end, they will work with notation for variables (N + 5 - 3 or N + 2).
  12. N-Number Line II - Students use the N-Number line to make generalizations about an unknown amount of money in a piggy bank.
  13. Part-Whole Relations - This class follows the discussion from the Candy Boxes I class. The challenge is to work with a visual representation of the relationships among the various quantities in the candy box problem and to relate the visual and numerical information contained in visual diagram(s) to verbal descriptions and to algorithms for finding unknown values.
  14. Piggy Banks - The whole lesson revolves around a multipart story problem involving changes in two quantities over several days of a week. The initial quantities are equal yet unknown. Then transformations are applied to the quantities. Students are asked to compare the quantities throughout the week even though only their relative relationship can be determined.
  15. Rules and Formulas - Students are given a rule and a data table supposedly generated according to the rule. Students evaluate whether: (1) the proper rule has been applied and (2) the result is correct.
  16. Three Heights - In this class we will explore: (a) How the children deal with comparisons, (b) How they draw inferences from comparisons, and (c) How they represent comparisons between three unknown amounts.