- 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?
- Comparing Different Functions - The students will discuss, represent, and solve a verbal problem involving the choice between two functions.
- 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.
- Dots Problem - We present to the students a problem dealing with a growing pattern over time. To begin, there is one dot. With each passing minute four more dots are drawn around the previous dot(s).
- Functions - Earning Money - The students will create tables and equations from given stories. The functions are additive and multiplicative.
- Functions II - The students will use three functions that are represented as a sequence of patterns and create a sequence of hops on the number line, a data table, and an algebraic expression to express the functions.
- Guess my Rule - Multiplicative Tables - Two children create secret rules for transforming input numbers. The teacher uses a doubling or tripling rule.
- Guess my Rule - Tables - Two children create secret rules for transforming input numbers. The teacher uses a doubling rule.
- 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).
- N-Number Line II - Students use the N-Number line to make generalizations about an unknown amount of money in a piggy bank.
- 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.
- 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.