Indicator 3d

The materials use manipulatives that faithfully represent the mathematical objects (linking cubes for quantities/composition, 5-group cards and mats, place value disks for base-ten units, rekenrek), as cataloged in the Suggested Tools and Representations [E8][E9][E11]. These manipulatives are explicitly connected to written methods: students manipulate cubes while the teacher models writing the numeral 7 and matches numeral cards [E3][E4], cubes are used to represent number sentences like 2+1 [E5][E6], and place value disks model unit form written as '7 hundreds 2 tens 6 ones = 726 ones' [E11]. This structural evidence across grade bands shows intentional design linking concrete representations to abstract/written notation, satisfying both required components.