Equivalent fractions
Different fractions, same amount: make them and simplify them.
Planned. This module is part of the plan and is not written yet.
Why it matters
Half a bag of rice is the same as two quarters of it; spotting the same amount written two ways keeps a buyer from being short-changed.
Draft outline · in review- For
- Level 4–5 · Primary 4 to Primary 5
- Inside
- 5 lessons and a test · about 75 minutes
- Topic
- Fraction sense · core, 2 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: Same amount, different names
Fold strips to see that 1/2 = 2/4 = 4/8.
Explain15 min, from minute 0
Lesson 2: Multiply top and bottom
Make equivalent fractions by multiplying the numerator and denominator by the same number.
Worked example15 min, from minute 15
Lesson 3: Divide top and bottom
Simplify 12/18 by dividing both numbers by a common factor.
Worked example15 min, from minute 30
Lesson 4: Simplest form
Use the highest common factor to simplify in one step.
Practice20 min, from minute 45
Lesson 5: Review
Mixed equivalent-fraction questions, with feedback on each.
Review10 min, from minute 65
End-of-module test
Make equivalent fractions by multiplying or dividing, and write fractions in their simplest form.
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
Write 18/24 in its simplest form.
Work it out on paper first, then show the answer and mark it yourself.
Particulars
Where it sits
Maths · Fractions, decimals and percentages · Fraction sense
What a learner can do after it
- Make equivalent fractions by multiplying or dividing top and bottom by the same number.
- Simplify a fraction to its simplest form.
Needs first
Level
Level 4–5 · Primary 4 to Primary 5
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
2 of 4 · Core
Time
About 75 minutes
Alignments
- Aligned to Common Corefull · in review4.NF.A.1
- Aligned to GCSEintroduces · in reviewGCSE Mathematics: equivalent fractions (descriptive ref)
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-FRS-04Equivalent fractionsMaths · Primary 4 to Primary 5 (Level 4–5) · Planned · the destination Needs Fractions on a number line (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.