Vectors: size and direction
Write, add and scale vectors, and find their size.
Planned. This module is part of the plan and is not written yet.
Why it matters
A canoe crossing a river is pushed by its paddler and carried by the current at the same time; adding the two as vectors shows where it really goes.
Draft outline · in review- For
- Level 10–11 · SSS 1 to SSS 2
- Inside
- 5 lessons and a test · about 75 minutes
- Topic
- Vectors · 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: Size and direction
Tell vectors from plain numbers, and draw them as arrows.
Explain15 min, from minute 0
Lesson 2: Column vectors
Write a vector as a column: how far across, then how far up.
Explain15 min, from minute 15
Lesson 3: Adding and scaling
Add vectors by adding their components, and multiply a vector by a number.
Worked example15 min, from minute 30
Lesson 4: Magnitude
Use Pythagoras' theorem to find the length of a vector.
Worked example15 min, from minute 45
Lesson 5: Review
Mixed questions, with feedback on each.
Review15 min, from minute 60
End-of-module test
Write vectors in column form, add them and multiply them by a number, and find their magnitudes.
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
The vector a has components −5 across and 12 up. Find its magnitude, |a|.
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
- Write vectors in column form and add them.
- Find the magnitude of a vector.
Needs first
Level
Level 10–11 · SSS 1 to SSS 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
2 of 4 · Core
Time
About 75 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
Architecture, Engineering, Surveying and Geoinformatics, 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.
- MA-NUM-POW-01Squares, cubes and rootsMaths · Primary 6 to JSS 2 (Level 6–8) · Planned
- MA-GEO-PYT-01Pythagoras' theoremMaths · JSS 2 to JSS 3 (BECE) (Level 8–9) · Planned Needs Squares, cubes and roots (required).
- MA-GEO-VEC-01Vectors: size and directionMaths · SSS 1 to SSS 2 (Level 10–11) · Planned · the destination Needs Pythagoras' theorem (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.