04 / Fractions and the whole
What makes one half equal to two quarters?
Partition and compare quantities while keeping the same whole.
Relate equal partitions and equivalent fractions of the same whole.
Fractions and the whole
Relate equal partitions and equivalent fractions of the same whole.
The complete worked example below is available independently of the model.
Keep the relationship in view.
Partition one bar into two equal parts. One part is one half. Partition an equal-length bar into four equal parts: two of those quarters occupy the same length.
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.
Compare fractions only while keeping the whole explicit. Perspective and colour do not establish mathematical equality.
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