Different names, equal amounts
Link repartitioned models to equivalence and compare familiar fractions.
Use the same renaming idea to compare fractions when both written numbers differ.
Keep the whole fixed while changing fraction names, comparing sizes, and breaking amounts into sums.
Recognize and make equivalent fractions by repartitioning the same whole.
Builds on: Read and build models, Fractions on a number lineCompare fractions with the same denominator or the same numerator, using the same whole.
Builds on: Read and build models, Fractions on a number lineGenerate equivalent fractions and recognize a simpler equivalent form.
Builds on: Whole numbers as fractions, Equivalent fraction modelsChoose and explain a valid comparison strategy for unlike fractions.
Builds on: Compare familiar fractions, Make equivalent fractionsWrite a fraction as a sum of positive fractions with a specified denominator.
Builds on: Whole numbers as fractions, Make equivalent fractionsTry lesson B with new values after a break. Ask for a reason as well as an answer.
Link repartitioned models to equivalence and compare familiar fractions.
Use the same renaming idea to compare fractions when both written numbers differ.
Revisit equivalence and use it to compare or split fractional amounts.
Use decomposition to introduce like-denominator addition and subtraction. Revisit a model if the part size becomes unclear.
Print this simple path card. Tick off the ideas you have tried, and circle one to revisit. No score or name needed.
Download checklist“Before calculating, ask what stays the same when the fraction is renamed. Use two equal-length bars to check.”
Renaming and decomposing fractions prepare the learner to combine parts of the same size.