Linear inequalities
Solve inequalities like 2x − 3 < 7 and show the answers on a number line.
Planned. This module is part of the plan and is not written yet.
Why it matters
A minibus that seats at most 18, or a budget you must not go over, allows a range of answers rather than one; an inequality describes that range.
Draft outline · in review- For
- Level 9 · JSS 3 (BECE)
- Inside
- 5 lessons and a test · about 75 minutes
- Topic
- Linear equations · 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: The symbols
Read and write <, >, ≤ and ≥, and say each one in words.
Explain10 min, from minute 0
Lesson 2: Solving like equations
Solve inequalities such as 2x − 3 < 7 by doing the same to both sides.
Worked example15 min, from minute 10
Lesson 3: Multiplying or dividing by a negative
See on a number line why the inequality sign reverses.
Explain15 min, from minute 25
Lesson 4: Number lines
Show solution sets with open and filled circles.
Practice20 min, from minute 40
Lesson 5: Review
Mixed questions, with feedback on each.
Review15 min, from minute 60
End-of-module test
Use inequality symbols, solve linear inequalities (reversing the sign when needed) and show the solution sets on a number line.
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
Solve 5 − 2x ≥ 11.
Work it out on paper first, then show the answer and mark it yourself.
Particulars
Where it sits
What a learner can do after it
- Read and use the symbols <, >, ≤ and ≥.
- Solve linear inequalities, reversing the sign when multiplying or dividing by a negative number.
- Show a solution set on a number line.
Needs first
Unlocks
Nothing requires this module yet.
Level
Level 9 · JSS 3 (BECE)
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 GCSEfull · in reviewGCSE Mathematics (DfE subject content) A22: linear inequalities
- Aligned to WASSCEpartial · in reviewWASSCE Mathematics syllabus: linear inequalities
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%.
University courses it previews
Mathematics, Engineering, Computer Science, Economics, Physics
On these pathways
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-ARI-OPS-01 Adding and subtracting, Level 1–3, Maths. Planned.
- MA-ARI-OPS-01Adding and subtractingMaths · Primary 1 to Primary 3 (Level 1–3) · Planned
- MA-ARI-OPS-02 Multiplication as equal groups, Level 2–3, Maths. Sample lesson in the demo.
- MA-ARI-OPS-02Multiplication as equal groupsMaths · Primary 2 to Primary 3 (Level 2–3) · Sample lesson in the demo Needs Adding and subtracting (required).Try the sample lesson: Multiplication as equal groups
- MA-ARI-OPS-03 Division as sharing and grouping, Level 3–4, Maths. Planned.
- MA-ARI-OPS-03Division as sharing and groupingMaths · Primary 3 to Primary 4 (Level 3–4) · Planned Needs Multiplication as equal groups (required).
- MA-ARI-OPS-04Multiplying and dividing togetherMaths · Primary 3 to Primary 4 (Level 3–4) · Planned Needs Division as sharing and grouping (required).
- MA-ARI-ORD-01Order of operationsMaths · Primary 5 to Primary 6 (Level 5–6) · Planned Needs Multiplying and dividing together (required).
- MA-ALG-LIN-01What an equation meansMaths · Primary 5 to Primary 6 (Level 5–6) · Planned Needs Order of operations (required).
- MA-FDP-OPS-02Adding and subtracting with different denominatorsMaths · Primary 5 to Primary 6 (Level 5–6) · Planned · recommended
- MA-FDP-OPS-03Multiplying fractionsMaths · Primary 5 to JSS 1 (Level 5–7) · Planned · recommended
- MA-ALG-LIN-02One-step equationsMaths · Primary 6 (Level 6) · Planned Needs What an equation means (required).
- MA-ALG-LIN-03Two-step equationsMaths · Primary 6 to JSS 1 (Level 6–7) · Sample lesson in the demo Needs One-step equations (required), Adding and subtracting with different denominators (recommended).Try the sample lesson: Two-step equations
- MA-ALG-LIN-04Unknowns on both sidesMaths · JSS 1 to JSS 2 (Level 7–8) · Planned Needs Two-step equations (required).
- MA-ALG-LIN-05Brackets and fractionsMaths · JSS 2 (Level 8) · Planned Needs Unknowns on both sides (required), Adding and subtracting with different denominators (recommended), Multiplying fractions (recommended).
- MA-ALG-LIN-07Linear inequalitiesMaths · JSS 3 (BECE) (Level 9) · Planned · the destination Needs Brackets and 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.