02 / Base-ten workbench

Can the pieces change while the value stays twenty-three?

Exchange tens and units in linked 3D and 2D views.

Learning purpose

Relate base-ten pieces, place value and equivalent exchanges.

A linked representation

Base-ten workbench

Relate base-ten pieces, place value and equivalent exchanges.

The complete worked example below is available independently of the model.

Worked example / Readable without the model

Keep the relationship in view.

Two tens and three units make 23. Exchange one ten: one ten and thirteen units still make 23. Regroup ten units to restore two tens and three units.

Prepare for the exploration.

Begin with the stated example. Connect the controls to the representation and explanation; ask what changed and what stayed the same.

Use the representation thoughtfully.

The model is an explanatory aid. It does not assess a learner or establish that a teaching approach will suit every situation.

Connected to practice.

The mathematical activity relates to the documented themes of early mathematics and teacher support. It is a new website explanation, not a previously published tool attributed to Dr Sako.

Explore the relevant professional work