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Lesson plan · IGCSE 0625 · Section 3.2.3 · Core + Extended

Converging lenses: ray diagrams, real and virtual images

Ray diagrams, real and virtual images, and the magnifying glass, taught visual-first and through a Jigsaw of object positions.

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At a glance

The shape of the lesson

Topic
Converging lens (Section 3.2.3, Lenses)
Syllabus reference
Cambridge IGCSE Physics 0625, Section 3.2.3 (Lenses)
Level
Core, with an Extended (Supplement) extension built in
Duration
45 minutes, designed as a single lesson
Prior knowledge
Refraction at a boundary, refractive index, and drawing rays accurately with a ruler and arrows
Core idea
A thin converging lens bends parallel light to a single focus; where two construction rays cross, an image forms
Simulation
Converging and Diverging Lenses (Unit 3); PhET Geometric Optics also works as a projector demonstration
Cooperative structure
A Think-Pair-Share hook, then a Jigsaw of object positions (full facilitation guide in the activity materials)
Assessment
A construct-and-describe exit ticket, plus random call after the Jigsaw (theory Papers 3 and 4; practical Papers 5 and 6)
Learning objectives

By the end of the lesson, learners can

Core (all learners)
  • describe how a thin converging lens bends a beam of parallel light to a single focus
  • use the terms principal focus and focal length correctly, and mark them on a diagram
  • construct an accurate ray diagram for the real image formed when the object is beyond the focal length
Extended (Supplement)
  • classify any image as real or virtual, upright or inverted, and enlarged, same size or diminished
  • construct a ray diagram for the virtual image formed when the object is inside the focal length
  • explain how a single converging lens is used as a magnifying glass

Key vocabulary

principal axis, optical centre, principal focus (F), focal length (f), converging lens, real image, virtual image, magnification. Each term is introduced as it is first needed.

The core model

Three rays you can always draw

Every ray diagram in this topic is built from the same three predictable rays, drawn from the top of the object; where any two cross, the top of the image sits. In the thin-lens convention, each ray is bent once, at the vertical line through the centre of the lens. A ray parallel to the axis refracts through the principal focus on the far side; a ray through the optical centre carries straight on; a ray through the near principal focus emerges parallel. Any two locate the image, and drawing the third is a free accuracy check.

Three rays from the top of the object cross on the far side at a real, inverted, diminished image: the parallel ray bends through F, the central ray goes straight, and the ray through F emerges parallel.
The three rays meet at the image (object beyond 2F: real, inverted, diminished)
A converging lens bends parallel light to the principal focus F, one focal length f from the lens, with a focus the same distance on each side.
Parallel light bends to the principal focus F
Object inside F: the refracted rays diverge and are traced back to a virtual, upright, enlarged image on the same side, the magnifying glass.
Object inside F: the magnifying glass
Lesson sequence

Forty-five minutes, phase by phase

TimePhaseWhat happens in the roomGrouping
0 to 5 minHook: one lens, two picturesHold a magnifying glass close to a printed page so the text looks bigger, then move it far from a window so a small upside-down image of the window appears on a sheet of paper. Pose the question: how can one lens make a large upright picture and a small inverted one? Learners jot a private prediction, then Think, Pair, Share.Think, Pair, Share
5 to 14 minBuild the model togetherUsing a ray box and a converging lens, show the parallel beam closing to a focus, and mark F and f on the bench. Learners annotate a skeleton diagram (axis, lens line, F on both sides) on mini-whiteboards as the three principal rays are built up one at a time. Keep it visual before any numbers appear.Whole class, mini-whiteboards
14 to 31 minJigsaw of object positionsFour expert groups, one per object position (beyond 2F, at 2F, between F and 2F, inside F), each master the ray diagram and the image description for its case. Re-form mixed home groups of four so each case is represented once; each expert teaches while the others complete the comparison table. The full facilitation is in the activity materials in this bundle.Expert then home groups of four
31 to 37 minPractical: measuring focal lengthFocus the image of a distant object (a window across the room) onto a screen and measure the lens-to-screen distance. Because the object is effectively at infinity, this distance is the focal length. Connect to the Paper 5 and 6 skill of tabulating distances and spotting an anomaly. Run it hands-on or as a demonstration.Pairs or demonstration
37 to 45 minPlenary and exit ticketEach learner constructs one real-image diagram for a stated object position and writes the full image description, alone. Reveal a model and peer-mark against three criteria: ruler used with arrowheads, rays bent at the lens line, image nature stated in full. Exit question: in one sentence, when is the image virtual?Individual
The five object positions

One table the Jigsaw builds

Object positionImage typeOrientationSizeWhere it forms
Beyond 2FRealInvertedDiminishedBetween F and 2F
At 2FRealInvertedSame sizeAt 2F on the far side
Between F and 2FRealInvertedEnlargedBeyond 2F
At FNoneRays emerge parallelImage at infinityNo image is formed
Inside FVirtualUprightEnlargedSame side (magnifying glass)
Running the cooperative task

A Jigsaw of object positions

Split the class into four expert groups, one per object position. Each expert group masters the ray diagram and the image description for its one case using a prepared card. Re-form mixed home groups of four so that each case is represented once. In the home group, each expert teaches their case while the others complete the comparison table. Because every home group needs all four experts, no case can be skipped. A full step-by-step facilitation guide, with the four expert cards, the comparison table and a worked answer, is provided as the activity in this bundle, so it can be run faithfully.

Why it suits this lesson. The five cases share one method but differ in the result, so the topic splits cleanly into expert roles, and the home group needs every case to fill the table. The Jigsaw makes each learner responsible for teaching one case and accountable for all of them.

Misconceptions and examiner traps

Where the marks are lost

Trap learners fall intoTeaching move that pre-empts it
Bending rays twice, at both lens surfaces.The thin-lens convention bends each ray once, at the vertical lens line. Examiners expect this.
No ruler, no arrows.Freehand rays or missing direction arrows cost the accuracy mark even when the physics is right.
Real versus virtual confusion.A real image can be caught on a screen and is inverted; the virtual image (object inside F) is upright and enlarged, sits on the same side, and cannot be projected.
Vague principal focus.It is where rays parallel to the axis converge, not simply where the lens focuses light.
One focus only.A lens has two principal foci, the same distance either side; both should be marked.
Differentiation and assessment

Support, challenge and the checks

Assessment. During: mini-whiteboard diagrams in the build phase, and a random call after the Jigsaw. Exit: the individual construction and full image description from the plenary. Homework: the worksheet in this bundle, four construct-and-describe questions and one practical-data interpretation.

Equipment and resources

Original work by the TheLucidSTEM team. Items are written in the style of the papers; no past paper question is reproduced. Supplied in editable formats so you can adapt them freely.
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