Learning goals: Teacher Facing Comprehend how the phrase “partial products” (in spoken and written language) refers to decomposing a multiplication problem. Coordinate area diagrams and vertical calculations that represent the same decimal multiplication problem. Use an area diagram to represent and justify (orally and in writing) how to find the product of two decimals. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from 6.5 Arithmetic in Base Ten, Grade 6.