Dividing fractions
How many halves in three? Divide with fractions, with pictures first.
Planned. This module is part of the plan and is not written yet.
Why it matters
How many quarter-litre cups can you fill from a 3-litre jug of water? That is 3 ÷ 1/4, and the answer, 12, is bigger than 3.
Draft outline · in review- For
- Level 6–7 · Primary 6 to JSS 1
- Inside
- 5 lessons and a test · about 75 minutes
- Topic
- Fraction operations · extension, 3 of 4
Inside the module.
5 lessons in order, about 75 minutes in all, then a short test. Learners go at their own pace; the minutes are a guide, not a timetable.
Draft outline · in review
Lesson 1: How many fit?
Use a diagram to see 3 ÷ 1/2 as 'how many halves fit into 3?'.
Explain15 min, from minute 0
Lesson 2: Diagrams with unit fractions
Divide whole numbers by halves, thirds and quarters with drawings.
Practice15 min, from minute 15
Lesson 3: The reciprocal
Turn the divisor upside down and multiply, and see why it gives the same answer.
Explain15 min, from minute 30
Lesson 4: Fraction by fraction
Work out 3/4 ÷ 3/8 with the reciprocal, then check with a diagram.
Worked example20 min, from minute 45
Lesson 5: Review
Mixed questions, with feedback on each.
Review10 min, from minute 65
End-of-module test
Divide whole numbers and fractions by fractions, using diagrams and the reciprocal method.
Mastered at 85% or more. Retake it until you pass; nothing is lost, and each try gives feedback.
Already know it? A Challenge Test (planned) clears the whole module: 90% overall, no objective below 75%.
Last stageafter about 75 min
Practicalities
Draft outline · in reviewBuilt to run offline
Planned to run on the Lantern's own computer, with no internet needed.
Languages
Planned first in English; every module aims to reach all of the Lantern's languages.
Try a question.
One question from the module, as a learner would meet it. Have a go, then open the worked solution a step at a time.
Draft outline · in review
Work out 2/3 ÷ 4/9. Give the answer as a mixed number.
Work it out on paper first, then show the answer and mark it yourself.
Particulars
Where it sits
Maths · Fractions, decimals and percentages · Fraction operations
What a learner can do after it
- Divide a whole number by a fraction using a diagram.
- Divide fractions by multiplying by the reciprocal.
Needs first
Unlocks
Nothing requires this module yet.
Level
Level 6–7 · Primary 6 to JSS 1
Level mappings are approximate. A qualified teacher or lecturer in each country must check them before they appear in the app.
Difficulty for its level
3 of 4 · Extension
Time
About 75 minutes
Alignments
- Aligned to Common Corefull · in review6.NS.A.1
Alignment in review until a qualified teacher or lecturer checks it. No exam body, university or vendor endorses us; learners still sit the real exam.
Challenge Test
Planned: a Challenge Test to prove you know it and skip it. Pass at 90% overall, with no objective below 75%.
The route here.
Everything this module builds on, drawn as a route from its foundations. Solid lanes must be mastered first, or cleared by a Challenge Test; dashed lanes are suggestions that never lock anything.
- MA-FDP-FRS-01Parts of a wholeMaths · Primary 2 to Primary 3 (Level 2–3) · Sample lesson in the demoTry the sample lesson: Parts of a whole
- MA-FDP-FRS-03Fractions on a number lineMaths · Primary 3 to Primary 4 (Level 3–4) · Planned Needs Parts of a whole (required).
- MA-FDP-OPS-01Adding and subtracting with the same denominatorMaths · Primary 4 to Primary 5 (Level 4–5) · Planned Needs Fractions on a number line (required).
- MA-FDP-OPS-03Multiplying fractionsMaths · Primary 5 to JSS 1 (Level 5–7) · Planned Needs Adding and subtracting with the same denominator (required).
- MA-FDP-OPS-04Dividing fractionsMaths · Primary 6 to JSS 1 (Level 6–7) · Planned · the destination Needs Multiplying fractions (required).
Help light the room where this is learned.
Every route on this map starts in a classroom with 24 stations, a tutor that works offline and a facilitator upstairs. Four are planned and waiting for light.