Mathematics — Shapes

Grade 4  ·  40 minutes  ·  Term 2/ 2  ·  20 June 2026

SchoolChavuka primary school
TeacherBrenda Phiri
Date20 Jun 2026
ClassGrade 4
SubjectMathematics
Duration40 min
Time07
Learners37
Term/WeekTerm 2/ 2

Topic

Shapes

Sub-Topic

Plan shapes

General Competences

Analytical Thinking, Collaboration, Problem Solving

Specific Competences

Construct different shapes in the environment

Learning Activities

Drawing polygons using trisquare protractor and compass add more

Expected Standard

Indicate standards

References

Add reference accordingly to Zambian CBC curriculum

Lesson Goal

By the end of this lesson, learners should be able to construct different plan shapes (triangles, quadrilaterals, and pentagons) using a trisquare protractor and a compass, demonstrating accurate measurement of sides and angles and proper use of the drawing tools.

Rationale

This lesson introduces learners to constructing plane shapes (polygons) by applying their prior knowledge of basic two‑dimensional shapes to a hands‑on drawing activity using a trisquare protractor and compass. Plane shapes are everywhere in the environment – from the windows of a classroom to the patterns on Zambian fabric – and understanding how to construct them helps learners appreciate design, measurement, and the geometric principles that underpin many practical tasks. By engaging in guided discovery and collaborative construction activities, learners develop Analytical Thinking, Collaboration, and Problem‑Solving competences as they measure, compare, and adjust their drawings to meet given specifications.

Prior Knowledge / Prerequisite Knowledge

Grade 4 learners already recognise and name common 2‑D shapes (square, rectangle, triangle, circle) and can count sides and vertices. They have used a ruler to draw straight lines and have a basic understanding of right angles (square corners). This prior knowledge will be activated in the ENGAGE phase by asking learners to point out shapes in the classroom and by reviewing the property of sides and corners before introducing the new tools (trisquare protractor and compass) for construction.

Learning Environment

  • Natural Environment: The teacher draws on shapes in the immediate school environment – rectangular doors, triangular roof trusses, hexagonal paving stones, circular manhole covers, and the rhombus shapes on a football field – as examples of plane shapes in real life. During the lesson, learners are asked to recall or sketch one shape they see outdoors.
  • Artificial Environment: The classroom is arranged in mixed groups of 4–6 learners, with desks pushed together to form workstations. A large chart showing labelled polygons (triangle, quadrilateral, pentagon, hexagon) is displayed on the front wall. Another chart shows the correct way to hold and use a trisquare protractor and compass. Each workstation has a tray containing the tools and a set of step‑by‑step instruction cards for drawing a triangle and a quadrilateral.
  • Technological Environment: If a projector and laptop are available, the teacher shows a short video (2–3 minutes) of a carpenter using a trisquare to mark square corners on a piece of wood, highlighting the real‑world use of the tool. Otherwise, the teacher uses a large demonstration trisquare and compass on the chalkboard with coloured chalk.

Teaching and Learning Materials / Resources

  • One trisquare protractor per pair of learners (or shared among group of 4)
  • One drawing compass per pair of learners
  • Rulers (30 cm), pencils (HB), erasers
  • Plain A4 paper (at least 2 sheets per learner)
  • Large charts showing labelled polygons (triangle, quadrilateral, pentagon, hexagon) with side lengths marked
  • Step‑by‑step instruction cards (laminated) for constructing a triangle and a square using trisquare and compass
  • Worksheet with three guided exercises (one per group) – e.g., “Construct a triangle with sides 4 cm, 5 cm, 6 cm”
  • String and geoboards (optional, for kinesthetic extension)

Cross-Cutting Issues

  • Environmental Sustainability: Learners are asked to consider how the shapes they draw (triangles, quadrilaterals) are used in building and construction to create strong, stable structures. The teacher relates this to sustainable building practices (e.g., triangular roof trusses in local houses) and discusses how using natural materials like bamboo or timber with careful measurement reduces waste. During the ELABORATE phase, learners draw a polygon that could be the base of a small shelter, prompting awareness of efficient design.
  • Social and Emotional Learning: Through mixed‑group collaboration, learners practise turn‑taking, active listening, and peer support while sharing the trisquare and compass. The teacher explicitly encourages positive feedback when a group member successfully draws a shape. In the EXPLAIN phase, learners share what was difficult and how they helped each other, building empathy and resilience.

Lesson Progression (Model: 5E Model of Instruction)

Phase Teacher Activities Learner Activities Assessment Criteria
INTRODUCTION
ENGAGE
6 min
  • Hook: Walk to the classroom door and say, “Look at this door. What shape is it? Now look at the roof of the veranda outside – what shape do you see there? Today we are going to learn how to draw shapes exactly like these using a special tool – not just a ruler!”
  • Prior Knowledge Questions: Ask: “Raise your hand and tell me one shape you already know. How many sides does a rectangle have? How can we make a corner that is square (a right angle)?”
  • Lesson Goal: Write on the board: “By the end of today, you will be able to draw a triangle, a square, and a pentagon using a trisquare and compass. You will also be able to check that your corners are the right size.” Ask learners to repeat the goal in their own words.
  • Tools Preview: Hold up a trisquare protractor and a compass. Say: “These are not toys – they are tools that builders and carpenters use. Watch how I handle them carefully.” Demonstrate briefly without constructing.
  • Learners respond to the hook by pointing out shapes in the room and sharing any observations about the door and roof. (Develops: Communication, Analytical Thinking)
  • Learners answer prior knowledge questions by naming shapes and counting sides/corners. (Develops: Analytical Thinking)
  • Learners listen to the lesson goal and one or two learners restate it in their own words. (Develops: Communication)
  • Learners watch the tool demonstration quietly and ask one question about the tools. (Develops: Curiosity, Communication)
  • Learners accurately identify at least two real‑life shapes from the environment.
  • Learners confidently recall the number of sides of a square and rectangle.
  • Learners clearly restate the lesson goal with correct key terms (triangle, square, pentagon).
  • Learners appropriately ask a relevant question about the trisquare or compass.
DEVELOPMENT
EXPLORE
8 min
  • Learning Activities – Drawing Polygons Using Trisquare Protractor and Compass: Give each pair a trisquare protractor, a compass, a ruler, a pencil, and plain paper. Display the step‑by‑step instruction card for drawing a triangle on each table.
  • Investigation Setup: Say: “Your first challenge is to draw a triangle using only the trisquare and compass. Follow the steps on the card. You may measure the sides with your ruler after drawing, but try to use the compass to mark equal lengths. Work with your partner – one holds the tool, the other draws.”
  • Facilitation: Walk around and ask guiding questions: “How do you know when the compass is set to the right width? What does the trisquare help you check? How many corners does your triangle have? Are they all the same size?”
  • Observation: Make a mental note of groups that struggle with using the compass as a divider and those that succeed. Do not correct yet – let them discover.
  • Learners read the instruction card and, in pairs, attempt to draw a triangle using the trisquare and compass. (Develops: Analytical Thinking, Collaboration)
  • Learners measure their drawn sides with a ruler and record the side lengths on the paper. (Develops: Analytical Thinking)
  • Learners discuss with their partner which tools worked best and what was difficult. (Develops: Communication, Problem Solving)
  • Learners write one sentence about what they discovered (e.g., “The compass helped make all sides equal”). (Develops: Analytical Thinking)
  • Learners correctly draw a triangle that has three straight sides meeting at three corners.
  • Learners accurately measure and record the side lengths of their drawn triangle.
  • Learners appropriately discuss at least one challenge or discovery with their partner.
  • Learners precisely write a discovery statement that shows understanding of the tool’s function.
EXPLAIN
8 min
  • Learner Sharing: Ask three pairs to share the triangle they drew and one thing they discovered. Write key points on the board: “compass helps make sides equal”, “trisquare measures 90° corners”.
  • Formalisation: Define “polygon” as any closed shape with straight sides. Name polygons by number of sides: triangle (3), quadrilateral (4), pentagon (5), hexagon (6). Show the chart and point to each shape.
  • Worked Example: On the board, demonstrate drawing a square with side 5 cm: use the trisquare to draw a 5 cm base, then use the trisquare to draw a 90° corner up, measure 5 cm with ruler, repeat for the other side, and close the shape. Talk through each step aloud.
  • Guided Questions: (i) “What is the name of a polygon with three sides?” (ii) “How many vertices does a quadrilateral have?” (iii) “If I want to draw a rectangle that is 6 cm long and 4 cm wide, which tool helps me make the corners square?”
  • Learners share their findings and show their drawn triangle to the class. (Develops: Communication)
  • Learners copy the definitions and polygon names into their exercise books. (Develops: Analytical Thinking)
  • Learners follow the worked example on the board, drawing a square in their own books as the teacher demonstrates. (Develops: Problem Solving)
  • Learners answer the three guided questions orally, giving reasons where possible. (Develops: Critical Thinking, Communication)
  • Learners accurately explain one discovery from the exploration phase.
  • Learners correctly write the definition of a polygon and name polygons by side count.
  • Learners independently follow the worked example and produce a square with reasonably accurate sides and right angles.
  • Learners accurately answer all three guided questions with correct terminology.
ELABORATE
12 min
  • New Task: Say: “Now you will work in your groups of four. Each group gets a different challenge card. Group 1 – draw a triangle with sides 5 cm, 5 cm, 8 cm. Group 2 – draw a square with sides 6 cm. Group 3 – draw a rectangle with sides 7 cm and 4 cm. Group 4 – draw a pentagon (5 sides) with each side 3 cm (use the compass to mark equal lengths around a circle). Group 5 – draw a quadrilateral where one corner is 90° and the other three are not (use the trisquare for the square corner only).”
  • Instructions: “Take turns using the tools. One person holds the trisquare, another draws, another checks, and the fourth records the group’s observations. You have 10 minutes.”
  • Facilitation: Circulate and ask probing questions: “How did you get the fifth side in the pentagon? What happens if you do not set the compass correctly? How can you check that your rectangle has four right angles?”
  • Extension for Fast Finishers: “Draw a hexagon (6 sides) where each side is 4 cm. Then measure the distance between opposite corners (the diagonal). Write what you notice.”
  • Learners read their group’s challenge card and discuss the plan for drawing the polygon. (Develops: Collaboration, Analytical Thinking)
  • Learners work together to construct the polygon using the trisquare and compass, taking turns with roles. (Develops: Collaboration, Problem Solving)
  • Learners check each other’s work – measuring sides and testing corners with the trisquare. (Develops: Critical Thinking, Collaboration)
  • Learners record the final drawing and a short reflection on what worked well. (Develops: Communication, Analytical Thinking)
  • Learners appropriately plan a construction strategy before drawing.
  • Learners accurately construct the assigned polygon with sides of the correct length and corners as specified.
  • Learners confidently use the trisquare to verify right angles and the compass to mark equal lengths.
  • Learners clearly write a reflection that identifies at least one successful strategy and one challenge.
CONCLUSION
EVALUATE
6 min
  • Consolidation Questions: (i) “Name three tools we used today and what each one did.” (ii) “How many sides does a pentagon have? How can you remember it?” (iii) “What is the most important thing to check when drawing a square with a trisquare?”
  • Learner-Led Summary: Ask two learners to stand and tell the class one thing they learned and one thing they found difficult. Affirm correct responses and clarify any remaining confusion.
  • Link Forward: Say: “Next week, we will use these same tools to draw shapes that have curves, like circles and semicircles, and we will learn how to measure the distance around them.”
  • Homework: “Draw three different polygons at home: a triangle, a rectangle, and a pentagon. Use a ruler only (no compass needed). Label the sides with their lengths. Bring your drawings tomorrow. You have one night.”
  • Closure: “You worked very well together today. I saw many groups helping each other with the compass. Keep practising – you are becoming real builders and designers!”
  • Learners answer consolidation questions orally, giving correct tool names and shape facts. (Develops: Communication, Analytical Thinking)
  • Learners volunteer to summarise key learning points and share their difficulties honestly. (Develops: Communication, Emotional Intelligence)
  • Learners record the homework task in their exercise books. (Develops: Responsibility)
  • Learners reflect on their favourite part of the lesson and one skill they want to improve. (Develops: Self‑Awareness – Social and Emotional Learning)
  • Learners accurately answer all three consolidation questions with specific details.
  • Learners confidently state at least one new learning and one challenge using complete sentences.
  • Learners appropriately write down the homework task correctly.
  • Learners clearly express a personal reflection about the lesson.

Class Exercise

Instructions to learners: Answer all five questions in your exercise book. Show all working where applicable. Time allowed: 10 minutes.

  1. Multiple Choice: Which of these is a polygon with FIVE sides?
    A. Triangle B. Quadrilateral C. Pentagon D. Hexagon
  2. Fill-in-the-Blank: A ________ is a closed shape with straight sides. A rectangle has ________ sides and ________ corners.
  3. Short Answer: Name two tools we used today to draw accurate polygons. For each tool, write one thing it helps us do.
  4. Problem-Solving: Draw a triangle with sides 6 cm, 6 cm, and 5 cm using a ruler and a compass (if you have one). Then write the name of that triangle (look at the side lengths: are any sides equal?).
  5. Application (Real-Life Zambia): A carpenter wants to make a rectangular window that is 120 cm wide and 80 cm high. He has a trisquare but no ruler. Explain in two sentences how he can use the trisquare to make sure all four corners are right angles (90°). Then draw a sketch of the window frame showing where he would place the trisquare.

Answer Key (For Teacher Use Only)

  1. Question 1 — Multiple Choice
    Answer: C. Pentagon
    Marks: 1 mark for correct choice.
  2. Question 2 — Fill-in-the-Blank
    Answer: A polygon is a closed shape with straight sides. A rectangle has 4 sides and 4 corners.
    Marks: 1 mark for “polygon”, 1 mark for “4” in the first blank, 1 mark for “4” in the second blank. (Total 3 marks)
  3. Question 3 — Short Answer
    Answer: Two tools: trisquare protractor (helps measure and draw right angles) and compass (helps draw circles and mark equal lengths). Accept alternative phrasing like “trisquare helps check square corners” and “compass helps make sides equal”.
    Marks: 1 mark for each tool named correctly (2 marks), 1 mark for a correct function for each (2 marks). Total 4 marks.
  4. Question 4 — Problem-Solving
    Answer: Triangle drawn with two sides 6 cm and one side 5 cm. Name: isosceles triangle (because two sides are equal). Accept “isosceles” or “equal‑sided triangle with two sides equal”.
    Marks: 2 marks for correct drawing (sides approximately correct), 2 marks for correctly naming the triangle as isosceles. Total 4 marks.
  5. Question 5 — Application (Real-Life Zambia)
    Answer: The carpenter places the trisquare at each corner of the window frame. If the trisquare’s legs align exactly with the two sides of the frame, then the corner is 90°. He should check all four corners.
    Sketch: A rectangle with a trisquare drawn at one corner showing the right angle.
    Marks: 2 marks for explaining the procedure clearly, 2 marks for a sketch showing the trisquare at a corner. Total 4 marks. (Maximum 1 mark if only one sentence or only sketch is provided.)

Total Marks: 16  |  Suggested Completion Time: 10 minutes

Lesson Evaluation

Instructions to the teacher: Focus on the competences learners were able to demonstrate, use clear evidence from their work and participation, note any difficulties they faced, reflect on what worked or did not work in your teaching, and state what support or next steps are needed.

Lesson Plan Feedback