Topic videos

Suitable for: IGCSE Add Maths 0606 · AS/A Level 9709 (Y10+)

Syllabus links: Factors of polynomials; polynomial division, factor & remainder theorem. Primary 0606 + 9709; lighter in 0607 Extended; not core 0580.

5:18 · Concept explain · Algebraic long division

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Angles self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

5:21 · Concept explain · Angles · Triangles

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Area & Perimeter self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides (Area). Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

3:35 · Concept explain · Area & perimeter · Circles

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Area & Perimeter self-study lesson for Lower Secondary / CIE Foundation (alternate YouTube id; Foundation pack video slot already linked to mz1OuMWECOQ). Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

3:35 · Concept explain · Area & perimeter · Circles

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Averages self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

5:38 · Concept explain · Averages · Charts & graphs

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Basic Algebra self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

5:26 · Concept explain · Expressions · Equations

Suitable for: IGCSE Add Maths 0606 · AS/A Level 9709 (Y10+)

Syllabus links: Factor theorem; complete factorisation of a cubic; algebraic long division vs equating coefficients. Primary 0606 + 9709; lighter in 0607 Extended; not core 0580.

4:01 · Concept explain · Algebraic long division · Equations

Suitable for: IGCSE Add Maths 0606 · AS/A Level 9709 (Y10+)

Syllabus links: Example 1: factorise completely 2x³ + 5x² + x − 3 by testing linear factors then equating coefficients → (2x + 3)(x² + x − 1). Example 2: unknown coefficients p, q when exactly divisible by x + 1 and x − 2 → p = −5, q = 8; complete factorisation (x + 1)(x − 2)(x − 4). Exam tip: use factor theorem when coefficients are unknown. Primary 0606 + 9709; lighter in 0607 Extended; not core 0580.

4:15 · Concept explain · Algebraic long division · Equations

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Graphs of Data (Graphical Representation of Data) self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

5:23 · Concept explain · Charts & graphs · Averages

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Polygons self-study lesson for Lower Secondary / CIE Foundation (YouTube title currently lists as 'olygons' — same video). Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

6:18 · Concept explain · Angles · Triangles · Polygons

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Pythagoras self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

7:39 · Concept explain · Pythagoras · Triangles

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Ratio & Proportion self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

4:40 · Concept explain · Ratio · Percentages · Ratio and proportion

Suitable for: IGCSE Add Maths 0606 · AS/A Level 9709 · IB AA SL (Y10+)

Syllabus links: Remainder theorem for a linear divisor: remainder when f(x) is divided by (x−a) or (bx−a) is f(a) / f(a/b) — no full division required. Complements Factor and Remainder Theorems lesson worksheet (ids a10d9636… / 933f3333…) and Topic Review self-test (ids ffe86c53… / d13923cd…). Paired lesson worksheet id: a10d9636-94fb-49fa-9624-df5d9b881212. Paired lesson answers id: 933f3333-449f-4ee9-affd-724dec823257. Paired topic-review worksheet id: ffe86c53-df4f-4af1-9276-0ab8fdb7fa5a. Paired topic-review answers id: d13923cd-8f04-43da-b8e2-aeed837fcc22. Primary CIE 0606 + 9709; also IB AA SL polynomial work.

4:27 · Concept explain · Algebraic long division · Equations

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Similar Shapes self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

3:41 · Concept explain · Triangles · Area & perimeter · Similar shapes

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Simultaneous Equations self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

6:08 · Concept explain · Equations

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Solving Equations self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides (Equations). Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

5:20 · Concept explain · Equations · Expressions

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Speed & Travel Graphs self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides. Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

6:03 · Concept explain · Graphs · Rates of change · Speed and travel graphs

Suitable for: Lower Secondary · CIE Foundation / Core · Years 7–11

Syllabus links: IMProject original: Straight-Line Graphs self-study lesson for Lower Secondary / CIE Foundation. Pairs with Foundation handout + slides (Graphs). Boards LowerSecondary + CIE; syllabus LS + 0580 Core / 0607 Core.

4:21 · Concept explain · Graphs

Suitable for: IGCSE Add Maths 0606 · AS/A Level 9709 (Y10+)

Syllabus links: Position & velocity vectors; bearings; relative motion / collision time; distance after a velocity change. Classic noon ships problem — 0606 Additional Maths + 9709 vectors/mechanics; useful for IGCSE-style boards (incl. Pearson 4MA1) as well.

4:13 · Concept explain · Vectors

Suitable for: IGCSE Add Maths 0606 · Int'l Maths 0607 · AS/A Level 9709 · IB AA/AI (Y10+)

Syllabus links: Prove points are collinear with position vectors: routes through O, ratios as fractions of a whole, matching coefficients when vectors share a start point. Matches slides ed95652d (Vectors — Proving points are collinear). Primary CIE 0606; also 0607 vectors, 9709, and IB AA/AI vector geometry.

3:44 · Concept explain · Vectors · Collinear

Suitable for: IGCSE Add Maths 0606 · Int'l Maths 0607 · AS/A Level 9709 · IB AA/AI (Y10+)

Syllabus links: Vectors in a triangle: X on AB, Y on OA, P = OX ∩ BY; express OP two ways; solve λ, μ by equating coefficients (section/ratio style). Matches slides 3f4a3ae9 (Vectors in a Triangle — Find Intersection P). Primary CIE 0606; also 0607 vectors, 9709, and IB AA/AI vector geometry.

3:54 · Concept explain · Vectors · Intersection