Choose a model, build the task, then explain the result. Every control works with a keyboard. Print a task sheet or download your model to keep the reasoning.
Count equal intervals, move a point beyond one, and preserve its location while renaming a fraction.
Fix the distance from 0 to 1 before counting intervals. A fraction labels a point at a distance from zero; it does not label the space between ticks.
Open modelCompare wholes, repartition fractions, add unlike units, and distinguish two meanings of division.
The centimeter labels make the whole explicit. Compare physical shaded lengths and fraction names separately. Use the sharing and counting tasks to name what the quotient measures.
Open modelSelect rows and columns, count their overlap, and connect fractional side lengths to square units.
The complete rectangle represents one square unit. Only the double-shaded intersection represents the product; a selected row or column alone represents one factor.
Open modelA model is useful when its whole, unit and operation match the question. Ask a student to name the whole before calculating, then change one feature and explain what stays fixed.