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Class 4 · Computational Thinking
Chapter 1 Teaching Pack
Shapes Around Us — spatial reasoning taught through sequences, views, cube nets, careful counting and straight cuts.
Where this chapter sits
Shapes Around Us opens the Class 4 Computational Thinking material. It turns familiar Mathematics work on shapes into reasoning: students must notice a rule, imagine an object from another position, keep track while counting, and test what one cut can do. These habits support the direction and view problems that follow later in the year.
| # | Chapter | Learning focus | Suggested |
|---|---|---|---|
| 1 | Shapes Around Us | Shape sequences, views of solid objects, cube nets and opposite faces, shapes within compound figures, and one straight cut | 6 periods |
| 2 | Hide and Seek | Paths, turns, direction and views; applies the spatial language established here | Next |
Lesson plan · 6 periods
Period 1 — Name what changes
Put this on the board: circle, square, triangle, circle, square, __. Ask for the missing shape, then ask the more useful question: “What repeats?” A correct answer without a rule may be a guess. Insist on a spoken rule before adding the next two terms.
Repeat with an arrow that turns right each time. Students often describe only the pictures they see. Move them towards a short instruction that could generate every step.
Period 2 — One object, different views
Stand a water bottle on the desk. Ask three students to sketch only its outline from the front, side and above. The object has not changed; the viewer has. Establish top view, front view and side view through their sketches.
Period 3 — Fold a cube in the mind
Draw the six-square net used in Worksheet Q9. Trace the four squares in a row: they wrap around as a band. The first and third become opposite; so do the second and fourth. The two remaining flaps close the top and bottom.
Do not allow students to rotate the paper while first predicting. Let them fold a copy only after recording an answer, then compare prediction with the model.
Period 4 — Count without losing your place
Use the square with two diagonals from Q10. First count the four smallest triangles. Then combine pairs into larger triangles. Mark each found triangle with a tiny code such as S1 or L1. Random pointing causes double-counting; a size-by-size list prevents it.
Period 5 — What can one straight cut do?
Give each pair a scrap rectangle. Before every cut, they draw the line and predict the two results. Compare a corner-to-corner cut, a cut between opposite sides, and a cut between adjacent sides. The position of the two endpoints controls the new shapes.
Period 6 — Use the views to rebuild
Run the unplugged activity in Section 05. End with one group explaining why a top view can stay the same even after an extra block is placed on a stack. Use Worksheet Q18 as the exit question.
Worksheet
Name: Class & Section: Date:
A · Notice the shape and the rule
B · Look from another place
C · Fold and count
D · Reason about one straight cut
E · Think harder
Answer key & teaching notes
| Q | Answer | What to watch for |
|---|---|---|
| 1 | (c) 6 | Some students count sides and corners separately and expect different numbers. For a simple polygon, each side meets the next at one corner. |
| 2 | (c) triangle | Ask for the repeating block: circle–square–triangle. “It looks right” is not yet a rule. |
| 3 | (b) right | Have the student point through up, right, down, left. Turning the page changes the task. |
| 4 | (d) triangle | The slanted quadrilateral still has four sides. Orientation does not change its number of sides. |
| 5 | (a) circle | Students may alternate circle and square and miss the repeated pair of squares. |
| 6 | (a) circle | They may choose rectangle because that is close to the front outline. Re-state the viewing position. |
| 7 | (c) triangle | The base is circular in three dimensions, but its side-view outline is a straight base with two sloping sides. |
| 8 | (c) columns of height 2 and 1 | Do not count the sloping construction lines as extra cubes. The front view records two occupied columns. |
| 9 | (b) C | A and C are separated by one face in the four-face band. Also establish the other opposite pairs: B–D and E–F. |
| 10 | 8 triangles | Four small triangles meet at the centre. Four large triangles use half the square. Listing by size prevents double-counting. |
| 11 | 5 squares | There are four small squares and one whole square. Students often stop after the four cells. |
| 12 | 5 rectangles | Count three single cells, one horizontal pair and one vertical pair. There is no large square because the lower-right cell is missing. |
| 13 | 2 pieces | This assumes the card remains flat and the line crosses it once. Folding would be a different problem. |
| 14 | (b) 4 sides | Trace A–B–P–D. The other piece is a triangle, but it is not the piece asked for. |
| 15 | (c) two quadrilaterals | A slanted side does not make either piece a triangle. Trace four boundary parts on each. |
| 16 | (d) a triangle and a pentagon | The small corner piece has three sides. Students often forget the new cut is also one side of the five-sided piece. |
| 17 | No | A straight cut that crosses a flat rectangle once divides it into two regions. Three pieces need another cut or a fold. Require the condition in the explanation. |
| 18 | No; for example, 3 cubes and 4 cubes | A top view shows occupied positions, not stack heights. Any pair of valid totals is acceptable if both are at least 3 and the student explains different vertical heights. |
Unplugged activity · “Build from the Views”
Period 6 · 35 minutes · No devices, internet or special kit.
What you need
For each group: three similar erasers, chalk boxes or small pencil boxes; one notebook; and one pencil. Make groups of five. A class of 40–45 becomes eight or nine groups and works at desks.
Roles
Builder, front observer, side observer, top observer, checker. If a group has six students, add a recorder. Change roles after each round.
How it runs
- Draw a two-square front view and a one-square side view on the board. The Builder uses two objects to make a model that matches both.
- The three Observers move to their named positions. Each sketches only the outline or grid seen from that position.
- The Checker compares the sketches with the model. The group fixes a sketch only after the observer explains the mismatch.
- For Round 2, place two objects side by side and the third on top of either one. Groups record front, side and top views.
- For Round 3, remove the top object without telling the top observer. Ask which views changed. Depending on the chosen front and side positions, at least one upright view changes; the top view still shows the same two occupied places.
Project brief & rubric
The project asks students to produce a small record of their spatial reasoning. One folded sheet or four notebook pages is enough.
| Criterion | 4 — Exceeds | 3 — Meets | 2 — Approaching | 1 — Beginning |
|---|---|---|---|---|
| Sequence rule | Six correct steps; rule is precise enough for another student to continue | Six correct steps and a clear rule | Rule is present but one step conflicts | No repeatable rule is shown |
| Views | Both views match; hidden height is also explained | Top and front views match the model | One view matches the model | Views are missing or unrelated |
| Cube net | Valid net, all opposite pairs correct, with a clear fold check | Valid net and all opposite pairs correct | Valid net with one pair incorrect | Net cannot fold to a cube or pairs are missing |
| Cut and explanation | Cut and both shapes correct; checking method is specific | Cut and both shapes correct | Cut shown; one shape misnamed | More than one cut or no result shown |
Suggested: 16 marks total. Record the four criterion scores and one next step; do not reduce the project to neatness alone.
Evidence record
Complete one record for each class and chapter. Attach or store the named samples with it.
| Field | Record |
|---|---|
| School | |
| Class & section | |
| Chapter taught | Computational Thinking Ch. 1 — Shapes Around Us |
| Periods used | |
| Dates | |
| Teacher | |
| Activity conducted | Build from the Views (group model-and-sketch activity) |
| Assessment used | My Shape Detective File, rubric-scored |
| Students present / assessed | |
| Samples retained | ☐ 3 marked worksheets ☐ 3 project files ☐ Group observation note |
| Concept needing reteaching | |
| Teacher’s next step |
Students who count compound figures systematically: ____ / ____ Students who predict a cut before testing: ____ / ____