Once students master basic numeric operations and number sense on each level, they are challenged with real-world mathematical problems. Students will explore problem-solving models that encourage them to use critical thinking, manipulatives and technology to determine solutions. These models will incorporate analyzing information (including what is needed and what is unessential), using a known strategy or forming a new plan and deducing and justifying the solution. Along with problem solving students will show mastery in predicting, comparing, estimating, reasoning, probability, geometry, measurement and analyzing relationships. Students will be able to communicate mathematical ideas in written, pictorial and oral form. Students will also show mastery in reasonableness of their solution and justification of strategies and tools used before being advanced to the next level.