Grade 6 Big Ideas: Math Mixed numbers and decimal numbers represent quantities that can be decomposed into parts and wholes. Computational fluency and flexibility with numbers extend to operations with whole numbers and decimals. Linear relations can be identified and represented using expressions with variables and line graphs and can be used to form generalizations. Properties of objects and shapes can be described, measured, and compared using volume, area, perimeter, and angles. Data from the results of an experiment can be used to predict the theoretical probability of an event and to compare and interpret.