A cumulative project where students design a structure meeting specific volume requirements and explain their mathematical reasoning.

Decomposing complex, non-overlapping solid figures into rectangular prisms to find total additive volume.

Solving real-world volume problems involving standard units like cubic inches, centimeters, and feet.

Applying volume formulas to solve for unknown dimensions (Length, Width, or Height).

Transitioning from B x h to the specific dimensions of length, width, and height (L x W x H).

Relating the number of layers to the height (h) and discovering the formula V = B x h.

Connecting the area of the base (B) to the first layer of a rectangular prism.

Developing spatial structuring by viewing rectangular prisms as a collection of identical horizontal or vertical layers.

Moving from physical cubes to representing and counting volume in 3D isometric drawings.

Exploring the requirement of packing without gaps or overlaps to accurately measure volume in cubic units.

Introduction to the unit cube as the standard measure of volume, focusing on the definition of a cubic unit (1x1x1).

Students transition from area to volume, understanding volume as the amount of space an object occupies by comparing 'packing' versus 'covering'.

Students participate in a final performance task where they apply their knowledge of fraction multiplication and division to solve a series of interconnected mission challenges.

Students consolidate their understanding of fraction multiplication and division through mixed practice, conceptual card sorts, and error analysis tasks.

Students select the correct operation and model to solve a variety of real-world division problems involving fractions and whole numbers.

Students interpret a whole number divided by a unit fraction as finding how many unit fractions are in the whole number, using visual tape diagrams to represent the division.

Students interpret a unit fraction divided by a non-zero whole number as partitioning the unit fraction into equal parts, using visual area models to represent the division.

Students solve real-world multiplication problems involving fractions and mixed numbers by selecting appropriate visual models and applying the standard algorithm.

Students generalize the process of multiplying fractions by exploring how the product of numerators and denominators relates to the total area of the model.