You will learn
- Spot equal groups in a story.
- Write a multiplication sentence.
- Solve the problem.
- Write the answer in a sentence.
Version 0.2 · expanded edition · expert review pending Standards alignment: pending verification. Written in the style of common primary school assessments. No exam result is promised.
Student lesson
- Look for equal groups in the story.
- Words like each and in all help.
- Write a multiplication sentence.
- Write the answer in a sentence.
Words to know
Every one.
The total.
Same amount in each.
A problem told as a story.
1. Discover: at the market
A trader fills 4 bags with 10 oranges in each. How many oranges does she have in all?
2. Understand: multiplication problems
Look for equal groups. Words like each, every and groups of tell us to multiply.
4 bags with 10 oranges each: 4 × 10 = 40. The trader has 40 oranges.
Steps: read, find the groups and how many in each, write the multiplication, solve, write the answer.
Idea 1: Spot equal groups
In a story, “4 plates, 5 rice cakes each” tells us there are 4 equal groups of 5. The words each and in all are clues.
Idea 2: Write and solve
4 groups of 5 is written 4 × 5. Count in 5s: 5, 10, 15, 20. So 4 × 5 = 20.
Idea 3: Answer in a sentence
“There are 20 rice cakes in all.”
Why a sentence? It shows we know what the number means.
3. Worked examples
Example 1 (I show you): Baskets
3 baskets with 5 mangoes each. How many mangoes?
- 3 groups of 5.
- 3 × 5 = 15.
Answer: There are 15 mangoes.
Example 2 (We do it together): Bags
4 bags of 10 oranges. How many oranges?
- 4 × 10 = 40.
Answer: There are 40 oranges.
Example 3 (You try): Hands
6 children have 2 hands each. How many hands?
Show the steps and answer
- 6 × 2 = 12.
Answer: There are 12 hands.
Did you know?
Traders use multiplication to find prices quickly, such as 5 items at 10 each.
Why this matters
Multiplication stories show how maths is used in real life.
4. Explore: story time
You need paper and a pencil.
- Read: 3 baskets of 5 mangoes.
- Write the multiplication: 3 × 5.
- Solve: 15.
- Write: There are 15 mangoes.
Think about it: what did you notice?
3 × 5 = 15 mangoes.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- There are ___ groups of ___.
- The multiplication is ___.
- There are ___ in all.
- My answer is ___.
Guided practice
Question 1. 5 bags of 10 oranges?
5 × 10 = 50.
Question 2. 8 pairs of shoes?
8 × 2 = 16.
Question 3. 7 packs of 5 pencils?
7 × 5 = 35.
Independent practice
Level 1: Start
- 3 baskets of 5 mangoes. How many?
- 4 bags of 10 oranges. How many?
- 6 children, 2 hands each. How many hands?
- 5 boxes of 2 pens. How many pens?
- 7 pockets with 5 coins each. How many coins?
Level 2: Grow
- 2 baskets of 8 mangoes. How many mangoes?
- 5 plates with 3 cakes each. How many cakes?
- 3 trays of 10 eggs. How many eggs?
Level 3: Stretch
- 8 shelves have 5 books each. How many books?
- A child eats 5 sweets a day for 6 days. How many sweets?
- Ali says 4 boxes of 3 pens are 7 pens. What is wrong?
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
A trader has 6 jars with 10 sweets each. How many sweets?
Show a sample answer
60 sweets.
Another one. Write a multiplication story for 4 × 5 and solve it.
Show a sample answer
For example: 4 plates with 5 cakes each. 4 × 5 = 20 cakes.
7. Common mistakes
Fix: Find the groups and multiply.
Fix: Look for equal groups and multiply.
Fix: Write the answer in a sentence with the unit.
8. Lesson summary and revision card
- I can spot equal groups in a story.
- I can write a multiplication sentence.
- I can solve the problem.
- I can write the answer in a sentence.
9. Check and master
Answer all 14 questions. You will see feedback after each one.
Your result appears here after you answer every question.
10. Key takeaways
- Look for equal groups.
- Multiply the number of groups by the amount in each.
- Answer in a sentence.
11. Next lesson
Next lesson: Sharing equally. Keep going with the next idea in this course.
Exam practice
These questions are written in the style of common school and international primary assessments. Try them on your own, without looking back. Then check your answers in the marking guide. The marks are shown in brackets.
- 3 plates have 5 cakes each. How many cakes? [2 marks]
- 5 bags of 10 oranges. How many oranges? [2 marks]
- 8 pairs of shoes. How many shoes? [2 marks]
- Write a multiplication sentence for 4 groups of 5. [1 mark]
- Ben has 7 packs of 5 pencils. He says he has 12 pencils. Is he right? Explain. [3 marks]
Total: 10 marks.
Marking guide and model answers
- 3 × 5 [1] = 15 [1]
- 5 × 10 [1] = 50 [1]
- 8 × 2 [1] = 16 [1]
- 4 × 5 = 20 [1]
- No [1]. 7 × 5 [1] = 35 [1].
Score guide: 9 to 10 = secure. 6 to 8 = nearly there, revise the parts you missed. Under 6 = work through the lesson again with a grown-up.
Printable worksheet
- 3 baskets of 5
- 4 bags of 10
- 6 children, 2 hands each
- 5 boxes of 2 pens
- 7 pockets of 5 coins
- 4 plates, 5 rice cakes each = ___.
- 5 bags of 10 oranges = ___.
- 6 jars of 10 sweets = ___.
- 2 eggs at a time, 9 times = ___.
- 3 groups of 4 = ___.
Homework
Write one multiplication story about your home or market and solve it.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| 3 baskets of 5 | 15 | 2 |
| 4 bags of 10 | 40 | 2 |
| 6 children, 2 hands each | 12 | 2 |
| 5 boxes of 2 pens | 10 | 2 |
| 7 pockets of 5 coins | 35 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 15; 2 40; 3 12; 4 10; 5 35.
Quiz answers: 1 A, 2 B, 3 C, 4 A, 5 B, 6 A, 7 B, 8 C, 9 A, 10 B, 11 C, 12 A, Challenge 1 C, Challenge 2 C.
Extra worksheet answers (items 6 onward): 6 20; 7 50; 8 60; 9 18; 10 12.
Independent practice answers. Level 1: 1 15; 2 40; 3 12; 4 10; 5 35. Level 2: 1 16; 2 15; 3 30. Level 3: 1 40; 2 30; 3 He added. 4 × 3 = 12 pens..
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Spot equal groups in a story | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O2 Write a multiplication sentence | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O3 Solve the problem | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O4 Write the answer in a sentence | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
Proposed Courseversity thresholds for this page: Bronze = at least 8 of 12 core questions correct; Silver = all 12; Gold = all 12 plus both challenge questions. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Adding the two numbers in the story. Find the groups and multiply.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Act the story with counters in groups.
- Guided practice: work through one example together and let the learner try the next one.
- Reassess: use the quiz again or the worksheet.
- Move on when the learner shows Silver-level evidence independently.
For parents and guardians
In this lesson your child solves simple multiplication story problems. You do not need to be good at mathematics to help.
- Make up stories with equal groups at home.
- Ask: how many groups? How many in each?
- Practise writing the answer as a sentence.
- Ask “how do you know?” after each answer, and listen.
- Praise effort, not only right answers. Mistakes are how we learn.
- Ten to fifteen minutes a day is better than one long session.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: spot equal groups in a story; write a multiplication sentence; solve the problem; write the answer in a sentence.
Prerequisite knowledge. Lessons 1 to 6.
Materials. Counters (stones, seeds or bottle tops), paper, pencils, board or chalkboard. Low-resource options: use stones, seeds, sticks, bottle tops or drawings in the sand or on the board instead of printed materials.
Preparation. Gather the counters and draw the example pictures on the board before the lesson.
Suggested duration. 45–60 minutes. It can be split into two shorter sessions.
6–9. Teaching procedure, explanation notes, guided and independent activities
Introduction (5 min). Start with the Discover situation and let learners suggest ideas before you teach.
Explanation (10 min). Teach the Understand section with real objects first, then pictures, then symbols and words.
Guided activity (10 min). You need paper and a pencil. Learners follow the Explore steps in pairs.
Independent activity (10 min). Learners complete the independent practice and the worksheet.
Assessment and reflection (5 min). Ask each learner to say one thing they learned and how they know it.
Key questions. How many groups? How many in each? What is the total?
Teacher explanation notes. Use the concrete, pictorial, abstract order: real objects first, then pictures, then symbols and words. Return to real objects whenever a learner needs support.
10–12. Differentiation, formative assessment, common misconceptions
Support. Use real objects and work with a partner; say each step aloud together. Extension. Ask learners to make up their own example and explain it to a partner.
Formative assessment. Listen to learner explanations, ask “how do you know?”, and check the independent work.
Misconceptions. Adding the two numbers in the story. Find the groups and multiply.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 10-mark exam practice scheme, the 10-mark scheme and all answers are in the answer sections above. Re-check every answer and the marking scheme before publication.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Act the story with counters in groups. Enrichment. Invite learners to find or create three more examples at home or in the classroom and explain them. Homework. See above.
Teacher reflection. After teaching, record: which concepts learners understood; which misconceptions occurred; which activities worked; which learners need more practice; and what to improve next time.
Sources and standards
Alignment is pending verification and no external endorsement is claimed. Reference starting points named in the Courseversity standard: Common Core State Standards for Mathematics, Cambridge Primary and the IB Primary Years Programme. Specific standard codes will be added once checked against the official documents.
Research used to shape this lesson. Common Core 2.OA.C.4 and 3.OA.A.3 (multiplication word problems); Cambridge Primary Mathematics Stage 2. These sources informed the lesson; no official alignment is claimed.