Squares, cubes and roots
Square and cube numbers, and finding square roots.
Planned. This module is part of the plan and is not written yet.
Why it matters
When a farmer marks out a square vegetable bed, its area is a square number; working back from the area to the length of each side is a square root.
Draft outline · in review- For
- Level 6–8 · Primary 6 to JSS 2
- Inside
- 5 lessons and a test · about 60 minutes
- Topic
- Powers and roots · foundation, 1 of 4
Inside the module.
5 lessons in order, about 60 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: Square numbers
Build squares from bottle tops and see why 1, 4, 9, 16 and 25 are called square numbers.
Explain15 min, from minute 0
Lesson 2: Cube numbers
Stack small cubes into bigger cubes and find 8, 27, 64 and 125.
Explain10 min, from minute 15
Lesson 3: Square roots
Undo squaring: √49 = 7 because 7 × 7 = 49.
Worked example15 min, from minute 25
Lesson 4: Estimating roots
Place the root of a non-square number between two whole numbers, such as √30 between 5 and 6.
Practice12 min, from minute 40
Lesson 5: Review
Mixed questions on squares, cubes and roots, with feedback on each.
Review8 min, from minute 52
End-of-module test
Recognise square and cube numbers, find square roots of square numbers up to 144, and place other roots between two whole numbers.
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 60 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
A square vegetable bed has an area of 45 m². Between which two whole numbers of metres is the length of one side?
Particulars
Where it sits
What a learner can do after it
- Recognise square and cube numbers.
- Find square roots of square numbers and estimate others.
Needs first
This module has no prerequisites of its own. Like every first step, it assumes the Digital skills gateway: the first module on using a computer, which a Challenge Test clears in minutes.
Level
Level 6–8 · Primary 6 to JSS 2
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
1 of 4 · Foundation
Time
About 60 minutes
Alignments
None drafted yet.
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
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.
This module has no prerequisites of its own. Like every first step, it assumes the Digital skills gateway: the first module on using a computer, which a Challenge Test clears in minutes.
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.