Give

Brackets and fractions

Solve equations with brackets, fractions and decimals.

Back to Maths · Linear equations

Planned. This module is part of the plan and is not written yet.

MAMA-ALG-LIN-0505Level8

Why it matters

Sharing costs fairly or scaling a recipe for more people often leads to equations with brackets and fractions in them.

Draft outline · in review
For
Level 8 · JSS 2
Inside
5 lessons and a test · about 90 minutes
Topic
Linear equations · extension, 3 of 4
Plate MA-ALG-LIN-05: planned.

Inside the module.

5 lessons in order, about 90 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

  1. Lesson 1: Expanding brackets

    Solve 3(x − 2) = 12 by expanding, and compare with dividing by 3 first.

    Worked example20 min, from minute 0

  2. Lesson 2: Clearing fractions

    Multiply every term by a common denominator so the fractions disappear.

    Worked example20 min, from minute 20

  3. Lesson 3: Decimal coefficients

    Solve equations such as 0.5x + 1.2 = 3.7.

    Practice15 min, from minute 40

  4. Lesson 4: Mixed practice

    Choose the best first step for each equation, then solve and check.

    Practice20 min, from minute 55

  5. Lesson 5: Review

    Mixed questions, with feedback on each.

    Review15 min, from minute 75

  6. End-of-module test

    Solve linear equations that contain brackets, fractions and decimal coefficients.

    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 90 min

Practicalities

Draft outline · in review

  • Built 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 x/3 + x/4 = 14.

Work it out on paper first, then show the answer and mark it yourself.

Particulars

Where it sits

Maths · Algebra · Linear equations

What a learner can do after it

  1. Expand brackets to solve equations such as 3(x − 2) = 12.
  2. Clear fractions by multiplying both sides by a common denominator.
  3. Solve equations with decimal or fraction coefficients.

Needs first

We suggest first (never a lock)

Unlocks

Suggested before

Level

Level 8 · JSS 2

Show levels in

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 90 minutes

Alignments

  • Aligned to Common Corefull · in review8.EE.C.7b

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.

  1. MA-ARI-OPS-01Adding and subtractingMaths · Primary 1 to Primary 3 (Level 1–3) · Planned
  2. 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
  3. MA-ARI-OPS-03Division as sharing and groupingMaths · Primary 3 to Primary 4 (Level 3–4) · Planned Needs Multiplication as equal groups (required).
  4. MA-ARI-OPS-04Multiplying and dividing togetherMaths · Primary 3 to Primary 4 (Level 3–4) · Planned Needs Division as sharing and grouping (required).
  5. MA-ARI-ORD-01Order of operationsMaths · Primary 5 to Primary 6 (Level 5–6) · Planned Needs Multiplying and dividing together (required).
  6. MA-ALG-LIN-01What an equation meansMaths · Primary 5 to Primary 6 (Level 5–6) · Planned Needs Order of operations (required).
  7. MA-FDP-OPS-02Adding and subtracting with different denominatorsMaths · Primary 5 to Primary 6 (Level 5–6) · Planned · recommended
  8. MA-FDP-OPS-03Multiplying fractionsMaths · Primary 5 to JSS 1 (Level 5–7) · Planned · recommended
  9. MA-ALG-LIN-02One-step equationsMaths · Primary 6 (Level 6) · Planned Needs What an equation means (required).
  10. 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
  11. MA-ALG-LIN-04Unknowns on both sidesMaths · JSS 1 to JSS 2 (Level 7–8) · Planned Needs Two-step equations (required).
  12. MA-ALG-LIN-05Brackets and fractionsMaths · JSS 2 (Level 8) · Planned · the destination Needs Unknowns on both sides (required), Adding and subtracting with different denominators (recommended), Multiplying fractions (recommended).
12 stops across Maths. 2 have a sample lesson in the demo; the other 10 are planned and not yet written.

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.

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