Fraction Flip

What your child will figure out

• Match benchmark fractions to decimals by comparing their share of one whole.
• Use equal-length visual fills to explain why unreduced fractions can equal the same decimal.
• Reverse the match from decimals to fractions in a new transfer challenge.
• Practise generated fraction, decimal, mixed-number, and percent equivalents at an adaptive difficulty.

The levels

1. First flip

   Predict which decimal fills the same half of one whole as 1/2.

2. Quarter lock

   Act on a quarters model by matching 3/4 to 0.75.

3. Same fill, new fraction

   Observe that 2/4 and 0.5 reach the same point even though the written digits differ.

4. Lab explanation

   Explain the equivalence by choosing the decimal whose fill covers the same share of the whole.

5. Reverse the machine

   Transfer the relationship by starting with 0.625 and finding its fraction form.