Fractions are the hinge on which so much later mathematics turns — ratio, percentages, algebra and probability all lean on them — so a secure lesson here pays dividends for years. In CBSE classrooms following NCERT textbooks and the competency-based direction of NEP 2020, the goal is not just to compute with fractions but to understand them as quantities. This step-by-step plan gives you a ready-to-run period on adding and subtracting fractions with unlike denominators, with clear teacher moves at every stage and an exit check that tells you who is ready to move on.
Objectives and success criteria
Display the objective plainly: to add and subtract fractions with unlike denominators by finding a common denominator, and to explain why a common denominator is needed. Success criteria make this checkable — students solve four problems correctly and can state, in words, why 1/3 and 1/4 cannot be added directly. The graded practice in Fractions Complete – Grades 6 to 7 supplies problems that rise in difficulty, which lets you match the challenge to the class without extra preparation.
Starter and I-do
Begin with a visual retrieval starter: show a bar split into thirds and another into quarters and ask, “Can we just add one piece from each? Why not?” This surfaces the misconception before you teach the method. In the I-do, model one worked example with a clear think-aloud — draw both bars, re-divide them into twelfths, and show that the pieces now match. Narrate the reasoning, not just the steps: “I need equal-sized pieces before I can combine them.” Write the vocabulary as you speak it: numerator, denominator, equivalent fraction, lowest common denominator.
We-do and guided practice
Work the next example together, asking students to tell you each step while you scribe, then flip roles so they scribe while you question. Move into guided practice with problems in pairs, using this teacher sequence:
- Students attempt two problems while you circulate, targeting your questions at the common-denominator step.
- Pause the class to address the most frequent error — adding denominators — with a 30-second re-model.
- Release a second pair of problems, gradually withdrawing the visual bars.
- Ask early finishers to explain their method to a neighbour before checking answers.
Fraction operations feed straight into proportional reasoning, so the confidence built here supports later work in Probability – Fundamentals and Tree Diagrams, where students combine fractional probabilities along the branches of a tree.
You-do, plenary and exit check
In the independent you-do, students complete four problems without the bar models, choosing their own common denominators. Circulate but resist rescuing too early — productive struggle is where the competency embeds. Close with an exit check: one problem to solve plus one sentence explaining why a common denominator was needed, collected on a slip so you can group students for the next period. This attention to conceptual explanation, not just the answer, is exactly what the CBSE Board Examinations increasingly ask for, and the same fraction fluency underpins the algebraic manipulation students will meet in Quadratic Functions and Parabolas later in their schooling. If the exit slips reveal a cluster of students still adding denominators, do not simply reteach the rule the next day; return to the bar models and let them see once more why the pieces must be equal before they combine. Conceptual understanding built on a picture is far more durable than a procedure memorised in a hurry, and it is the understanding, not the trick, that transfers to everything fractions touch.
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