Description	Math Topics Covered
Functioning in the Real World	Students work on a collection of activities about real-world situations that can be represented by functions.	multiple representations of functions; tables, charts, graphs, description in words rate, time, distance
Coding with Number Theory	Students come up with a complicated coding system to disguise information transmitted over the Internet.	number theory modular arithmetic simplifying modular congruences factors prime numbers multiples
Problems with Proportions	Students use scaling in analyzing floorplans, exemplifying one place where people use proportions to solve problems.	proportional reasoning equivalent fractions and cross-multiplying working with numbers as fractions and decimals
A Rational Expedition	Students investigate concepts of rational numbers from a mathematician's point of view using prior knowledge to formulate and test conjectures.	relative sizes of rational numbers in their different forms writing decimals as fractions and vice versa terminating vs. nonrepeating decimals multiplying and dividing by fractions and decimals conjecture making and testing
Lottery Likelihoods	Students investigate a company's claim of having software that helps customers most efficiently choose their lottery numbers.	fairness determining probabilities experimental vs. theoretical probability different representations of probability
Geometry in Quilting	Students explore important concepts of geometry through the art of quilting.	identifying, comparing, and classifying geometric shapes visualizing and representing geometric shapes understanding and applying geometric properties and relationships
Connecting to Algebra	Students progress from experiences dealing with data found in tables to working with formal notations used in equations.	finding patterns making generalizations working with tables variable, constant, and equation
Functions from Various Views	Students investigate different representations of the idea of function across three separate situations.	multiple representations comparing looking for patterns understanding functions as tables, graphs, and rules
From Patterns to Functions	Students investigate discrete functions starting with geometric patterns, moving to number patterns, then to function tables and finally to discrete graphs.	describe, extend, analyze, and create patterns describe and represent patterns with tables, graphs, and rules
Fractions 101	Students take on the role of curriculum consultants as they develop a series of activities about fractions.	reflect on and clarify their own thinking about mathematical ideas computing with fractions developing, analyzing, and explaining procedures for computation
Displaying Data	Students investigate different forms of displaying data while convincing their principal for the need of a school store.	exploring problems and describing results using different graphical models verifying and interpreting results with respect to the original problem situation