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Adding and subtracting fractions with unlike denominators

Lesson plan by OtisamLMS · OtisamLMS

SubjectCore Mathematics · SHS
YearSHS 1
Term / weekTerm 1 · Week 4
Lessons this week3 × 60 minutes
Class size45
StrandNumber
Sub-strandFractions, decimals and percentages
Content standardLearners carry out the four operations on fractions and use them to solve everyday problems.
Learning indicatorsFind the lowest common multiple of two or three denominators
Add and subtract fractions and mixed numbers with unlike denominators
Check an answer by estimating with whole numbers
Core competenciesCritical thinking and problem solving
Communication and collaboration
Personal development (perseverance)
Key wordsnumerator, denominator, equivalent fraction, lowest common multiple, mixed number, improper fraction
ResourcesPaper strips (one A4 sheet per pair)
A market price list written on the board
Exercise books and coloured pens

Lesson flow

Phase Teacher and learner activities
1. StarterWrite 1/2 + 1/3 on the board and ask three learners to give a quick guess. Most will say 2/5. Fold a paper strip into halves and another into thirds and hold them side by side: is 2/5 really bigger than 1/2? Let pairs argue for two minutes before you move on.
2. Main activities1. Pairs fold strips into halves, thirds and sixths and shade 1/2 and 1/3 on the sixths strip. They record 1/2 = 3/6 and 1/3 = 2/6, so the sum is 5/6.
2. Ask: why did sixths work? Draw out that 6 is a multiple of both 2 and 3. Introduce the lowest common multiple and list multiples to find it for 4 and 6, then 3, 4 and 8.
3. Model two examples on the board, saying each step aloud: find the LCM, rewrite each fraction, add or subtract the numerators, simplify.
4. Mixed numbers: a trader sells 2 3/4 kg of rice in the morning and 1 2/3 kg in the afternoon. Groups solve it two ways (whole numbers first, then improper fractions) and compare.
5. Learners work through eight graded questions. Circulate, and pull a small group to the front table for extra modelling if needed.
3. ReflectionLearners write one sentence on a slip: 'The mistake I will not make again is…'. Read a few aloud. Close by returning to 1/2 + 1/3 and asking a learner to explain why 2/5 was wrong.

Assessment

Exit questions: (a) 3/4 + 1/6 (b) 5/8 − 1/3 (c) 3 1/2 − 1 4/5. A learner who gets (c) right has met all three indicators. Mark in class; note who needs support in the next lesson.

Differentiation

Support: keep the folded strips on the desk and limit the work to denominators below 12.
Extension: write a word problem that needs 2/3 + 3/5 and swap it with a partner.

Homework

Find two prices at home or in the market that use halves or quarters (e.g. half a bag of gari) and write a subtraction problem from them.

Teacher notes

Learners often add the denominators. The paper strips in the starter are worth the time; do not skip them.

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