Mathematics and Science — Exploring Mixtures

Grade 2  ·  40 minutes  ·  Term 2 Week6  ·  19 June 2026

SchoolTWAFWANE PRIMARY
TeacherMr Mastano
Date19 Jun 2026
ClassGrade 2
SubjectMathematics and Science
Duration40 min
Time10:00-10:40
Learners55
Term/WeekTerm 2 Week6

Topic

Exploring Mixtures

Sub-Topic

DIVISION

General Competences

Analytical Thinking, Critical Thinking, Problem Solving

Specific Competences

Use whole Numbers in division in different life situations

Learning Activities

Dividing single by single digit numbers and two Digit numbers by Single number without leaving a reminder

Expected Standard

Whole numbers used in division in life situations correctly

References

Page 121

Lesson Goal

By the end of this lesson, learners should be able to divide single-digit numbers by single-digit numbers and two-digit numbers by single-digit numbers without leaving a remainder, and explain how division is used in everyday life situations in Zambia.

Rationale

This lesson introduces Grade 2 learners to the concept of division as sharing equally, building directly on their prior knowledge of counting, addition, and subtraction of whole numbers up to 100. Understanding division is essential for learners because it appears in daily life—sharing sweets equally among friends, distributing books in class, or grouping maize cobs for market—and it promotes fairness, cooperation, and careful decision-making. Through hands-on group activities, guided inquiry, and real-life problem-solving tasks, learners will develop analytical thinking, critical thinking, and problem-solving skills as they actively explore and apply division in meaningful contexts.

Prior Knowledge / Prerequisite Knowledge

Learners can count objects up to 100, add and subtract single-digit and two-digit numbers without regrouping, and understand the concept of "sharing equally" from everyday experience. They can skip-count by 2s, 5s, and 10s up to 50. This prior knowledge will be activated at the start of the lesson through an oral sharing problem (e.g., "If I have 6 sweets and I want to share them equally among 3 friends, how many sweets does each friend get?") to create a bridge from familiar sharing language to the formal mathematical operation of division.

Learning Environment

  • Natural Environment: The teacher will reference familiar Zambian contexts such as sharing mangoes from a tree, dividing groundnuts equally among family members, or grouping maize cobs for selling at the market. Learners may also be taken briefly outside to collect small stones or leaves (in groups) to use as counting and sharing objects during the Explore phase.
  • Artificial Environment: The classroom is arranged in mixed-ability groups of 4–6 learners seated at grouped desks or on mats. A large chart titled "Division is Sharing Equally" is displayed on the wall showing the division symbol (÷) and two worked examples. The board is divided into sections for key vocabulary, worked examples, and learner sharing. Number cards (1–20) and objects (bottle tops, stones, seeds) are placed in baskets at each group table for hands-on exploration.
  • Technological Environment: The teacher uses a smartphone or tablet (if available) to play a short 2-minute video from the Zambian Primary Maths digital library showing children sharing items equally. If no device is available, the teacher uses a large hand-drawn picture chart showing equal sharing. A simple calculator may be shown to demonstrate checking division answers, but learners are told they must learn to divide mentally first.

Teaching and Learning Materials / Resources

  • 60 bottle tops or small stones (15 per group of 4–6 learners) for hands-on sharing activities
  • Number cards (1–20, one set per group)
  • A3 chart paper and markers for each group to record their findings
  • Big chart titled "Division is Sharing Equally" with examples: 6 ÷ 2 = 3, 8 ÷ 4 = 2
  • Worksheet with division exercises (prepared by teacher, one per learner)
  • Basket or container for each group to hold counting objects
  • Flashcards with division equations (e.g., "12 ÷ 3 = ?") for the Engage phase
  • Reference textbook: Zambian Primary Mathematics Grade 2, page 121

Cross-Cutting Issues

  • Financial Education: Throughout the lesson, division problems are framed in financial contexts—sharing money equally among children, dividing the cost of items, or grouping coins into equal amounts. For example, during the Elaborate phase, learners solve: "A mother has 15 ngwee. She wants to give equal amounts to her 3 children. How much ngwee does each child get?" This embeds the value of fairness and financial decision-making from an early age.
  • Environmental Sustainability: The lesson uses locally available natural objects (stones, bottle tops, seeds) as counting and sharing materials, promoting resourcefulness and reducing waste. The teacher also highlights how division helps in environmental contexts such as sharing harvested vegetables equally among community members or dividing waste into equal piles for composting, reinforcing sustainable practices.

Lesson Progression (Model: 5E Model of Instruction)

Phase Teacher Activities Learner Activities Assessment Criteria
INTRODUCTION
ENGAGE
6 min
  • Hook: Show a basket with 12 bottle tops. Say: "I have 12 bottle tops. I want to give them equally to 4 friends. How many bottle tops will each friend get? Talk to your partner for 30 seconds and then share your idea." (Develops: Analytical Thinking)
  • Prior Knowledge Questions: Ask: "What does it mean to share equally?" "If you have 10 sweets and 2 friends, how many sweets does each friend get?" "What operation do we use when we add? When we subtract?" (Develops: Critical Thinking)
  • Lesson Goal: Say: "Today we are going to learn a new Maths operation called division. Division helps us share and group things equally. By the end of this lesson, you will be able to divide numbers without leaving any leftovers."
  • Note: Do NOT introduce the division symbol yet—this phase is purely about igniting curiosity and surfacing prior knowledge about sharing equally.
  • Learners talk with their partner about the bottle top sharing problem and share their ideas aloud. (Develops: Analytical Thinking, Communication)
  • Learners answer prior knowledge questions by explaining what sharing equally means and recalling addition and subtraction. (Develops: Critical Thinking)
  • Learners listen to the lesson goal and repeat it in their own words when invited. (Develops: Communication)
  • Learners raise their hands to ask questions or express curiosity about division. (Develops: Analytical Thinking)
  • Learners accurately describe how many bottle tops each friend gets using the sharing strategy.
  • Learners confidently explain what sharing equally means in their own words.
  • Learners clearly restate the lesson goal in simple language.
  • Learners appropriately ask at least one question or make one prediction about division.
DEVELOPMENT
EXPLORE
8 min
  • Investigation Setup: Say: "In your groups, take 12 bottle tops. Share them equally among 3 plates. After sharing, count how many bottle tops are on each plate. Write the number sentence on your chart paper. Then try sharing 12 bottle tops among 4 plates, and then 15 bottle tops among 5 plates. Record everything." (Develops: Analytical Thinking, Problem Solving)
  • Facilitation: Walk around among groups. Ask guiding questions: "How many bottle tops did you start with? How many groups did you make? How many are in each group? Is there any leftover?" (Develops: Critical Thinking)
  • Observation: Note which groups are on track and which need a guiding nudge—prompt them to count carefully and check if all groups have the same number.
  • Learners in groups take the bottle tops and plates, and carry out the sharing task following the teacher's instructions. (Develops: Collaboration, Analytical Thinking)
  • Learners count the bottle tops on each plate and write the results (e.g., "12 shared into 3 groups gives 4 in each group"). (Develops: Analytical Thinking)
  • Learners discuss findings within the group, comparing the number of groups and items per group, and form initial conclusions about equal sharing. (Develops: Communication, Critical Thinking)
  • Learners draw or write a brief summary of what they discovered on the group chart paper. (Develops: Creativity and Innovation, Analytical Thinking)
  • Learners correctly complete the sharing of 12 bottle tops into 3, 4, and 15 into 5 equal groups using physical objects.
  • Learners accurately record the number of bottle tops in each group for each trial.
  • Learners confidently explain to their group members how many items are in each group and whether any are left over.
  • Learners clearly summarise their findings in writing or drawing on the chart paper.
EXPLAIN
8 min
  • Learner Sharing: Invite two groups to share their findings. Ask: "What did you discover when you shared 12 bottle tops into 3 groups? Into 4 groups? What about 15 into 5?" (Develops: Communication)
  • Formalisation: Say: "What you have been doing is called division. When we share equally, we are dividing. The division sign is ÷. So 12 ÷ 3 = 4 means 12 shared equally into 3 groups gives 4 in each group." Write this on the board. Introduce vocabulary: dividend, divisor, quotient. (Develops: Analytical Thinking)
  • Worked Example: Model step by step: "Let us divide 8 ÷ 2. I start with 8 objects. I put them into 2 equal groups. I give one to each group until all are used. Count: 1, 2, 3, 4 in each group. So 8 ÷ 2 = 4." Show this with bottle tops on the table. (Develops: Problem Solving)
  • Guided Questions: Ask three guided exercise questions: (1) "What is 6 ÷ 3?" (MCQ: A. 1, B. 2, C. 3, D. 4) — answer B. (2) "Fill in the blank: 10 ÷ 5 = ________" (Fill-in-the-blank: 2). (3) "Match: 9 ÷ 3 with the correct picture showing 3 groups of 3." (Matching question). Build on responses. (Develops: Critical Thinking)
  • Learners share their group findings with the class, saying how many groups they made and how many were in each group. (Develops: Communication, Collaboration)
  • Learners copy the formal definition and the division vocabulary (dividend, divisor, quotient) into their exercise books. (Develops: Analytical Thinking)
  • Learners follow the worked example on the board, copying the steps and the number sentence 8 ÷ 2 = 4. (Develops: Problem Solving)
  • Learners attempt the three guided exercise questions individually, then self-check or peer-check answers with a partner. (Develops: Critical Thinking, Collaboration)
  • Learners clearly explain their group's findings using the terms "shared equally" and "groups."
  • Learners accurately write the definition and key vocabulary (dividend, divisor, quotient) in their exercise books.
  • Learners correctly follow the worked example and reproduce the steps for 8 ÷ 2 = 4.
  • Learners correctly answer all three guided questions and peer-check answers.
ELABORATE
12 min
  • New Task: Present a real-life Zambian problem: "A farmer has 15 mangoes. He wants to pack them equally into 3 baskets to sell at the market. How many mangoes will go into each basket? Write the division sentence." Also give: "Divide 24 ÷ 4 using bottle tops or drawing circles." (Develops: Problem Solving, Critical Thinking)
  • Instructions: Say: "Work with your partner. Use your bottle tops or draw circles. Write the complete division sentence for each problem. Show all your working. You have 6 minutes." (Develops: Collaboration)
  • Facilitation: Walk around, observe, and offer probing questions: "How many groups did you make? How many items in each group? How can you check if your answer is correct?" Do NOT give answers. (Develops: Critical Thinking)
  • Extension: For learners who finish early: "If you had 30 groundnuts and you wanted to share them equally among 5 friends, how many groundnuts does each friend get? Write the division sentence and show your working." (Develops: Analytical Thinking, Problem Solving)
  • Learners read the farmer's mango problem and the 24 ÷ 4 task, discussing with their partner what needs to be done. (Develops: Collaboration, Critical Thinking)
  • Learners use bottle tops or drawings to model the division and write the complete number sentence (e.g., 15 ÷ 3 = 5, 24 ÷ 4 = 6). (Develops: Analytical Thinking, Problem Solving)
  • Learners record their working and final answers in their exercise books, showing the division sentence and a diagram or tally. (Develops: Analytical Thinking)
  • Selected learners share their approach and answer with the class for peer discussion; gifted learners also share the extension problem solution. (Develops: Communication, Creativity and Innovation)
  • Learners accurately identify what the problem is asking and discuss the approach with their partner.
  • Learners correctly model the division using objects or drawings and write the correct division sentence.
  • Learners clearly record the working and final answer with appropriate labelling.
  • Learners confidently explain their solution method to the class and justify their answer.
CONCLUSION
EVALUATE
6 min
  • Consolidation Questions: Ask three oral questions: (1) "What is 12 ÷ 3?" (2) "If I share 20 sweets equally among 4 children, how many sweets does each child get? Write the division sentence." (3) "What does the division sign ÷ mean?" (Develops: Analytical Thinking, Critical Thinking)
  • Learner-Led Summary: Invite 2–3 learners to summarise in their own words: "What did you learn about division today? Give an example of when we use division in our lives." (Develops: Communication)
  • Link Forward: Say: "Tomorrow we will learn how to divide bigger numbers, like 30 ÷ 5, and we will also learn about division with remainders—when there are leftovers." (Develops: Analytical Thinking)
  • Homework: "Complete the worksheet I will give you. It has 5 division problems: 8 ÷ 2, 15 ÷ 3, 20 ÷ 4, 12 ÷ 6, and 18 ÷ 3. Show your working using drawings or numbers. Bring it back tomorrow." (Develops: Problem Solving)
  • Closure: "Great work today, everyone! You have learned that division helps us share equally. Remember, division is fair sharing!"
  • Learners respond to the three consolidation questions individually or as a class, demonstrating their understanding of division. (Develops: Analytical Thinking, Critical Thinking)
  • Learners summarise the key learning points when invited, giving an example of division in daily life. (Develops: Communication)
  • Learners record the homework task in their exercise books and ask clarifying questions if needed. (Develops: Problem Solving)
  • Learners reflect briefly on what they found most interesting or challenging about division. (Develops: Critical Thinking)
  • Learners correctly answer all three consolidation questions with accurate division sentences and explanations.
  • Learners clearly explain the key learning points and give a relevant real-life example of division.
  • Learners accurately write down the homework task and confirm understanding.
  • Learners appropriately reflect on their learning, identifying one interesting or challenging aspect.

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: What is 6 ÷ 3?
    A. 1
    B. 2
    C. 3
    D. 4
  2. Fill-in-the-Blank: 10 ÷ 5 = ________
  3. Matching: Match each division sentence on the left with the correct answer on the right.
    Column A: Column B:
    8 ÷ 2 3
    12 ÷ 4 4
    9 ÷ 3 2
  4. Short Answer: Draw 12 stars and circle them into 4 equal groups. Then write the division sentence that matches your drawing.
  5. Application: Mary has 15 mangoes from her garden. She wants to pack them equally into 3 baskets to sell at the market. How many mangoes will she put in each basket? Write the division sentence and show your working.

Answer Key (For Teacher Use Only)

  1. Question 1 — Multiple Choice
    Answer: B. 2
    Marks: 1 mark for correct answer.
  2. Question 2 — Fill-in-the-Blank
    Answer: 2
    Marks: 1 mark for correct answer.
  3. Question 3 — Matching
    Answer: 8 ÷ 2 matches 4; 12 ÷ 4 matches 3; 9 ÷ 3 matches 3 (Note: 9 ÷ 3 = 3, so the pair is 9 ÷ 3 with 3; the second 3 in Column B is used). Correct pairs: 8÷2→4, 12÷4→3, 9÷3→3 (one 3 used for each). Accept any clear matching.
    Marks: 1 mark for each correct pair (3 marks total).
  4. Question 4 — Short Answer
    Answer: Drawing shows 12 stars divided into 4 groups of 3. Division sentence: 12 ÷ 4 = 3
    Marks: 1 mark for correct drawing; 1 mark for correct division sentence. (2 marks total)
  5. Question 5 — Application
    Answer: Working: Start with 15 mangoes. Share equally into 3 baskets. Give one mango to each basket until all are used. Count: 5 mangoes in each basket. Division sentence: 15 ÷ 3 = 5. Answer: 5 mangoes.
    Marks: 1 mark for correct method (showing sharing or grouping); 1 mark for correct division sentence; 1 mark for final answer with unit (5 mangoes). (3 marks total)

Total Marks: 10  |  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.

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