You will learn
- Say that multiplication means equal groups.
- Write repeated addition as multiplication.
- Find the total of equal groups.
- Write and read a multiplication sentence.
Version 0.2 · expanded edition · built from cited public sources Content is based on the official frameworks and sources listed under Sources and standards. No official endorsement is claimed. Written in the style of common primary school assessments. No exam result is promised.
Student lesson
- Multiplication means equal groups.
- Repeated addition can be written as multiplication.
- The product is the total.
- Read 4 × 6 as 4 groups of 6.
Words to know
Find the total of equal groups.
The answer to a multiplication.
A number that is multiplied.
Adding the same number again and again.
1. Discover: bags of oranges
A seller packs 6 oranges in each bag and has 4 bags. How many oranges is that? Can you find it without counting one by one?
2. Understand: equal groups
Equal groups have the same number in each group. 4 bags with 6 oranges in each is 4 groups of 6.
Repeated addition: 6 + 6 + 6 + 6 = 24. We write it shorter as 4 × 6 = 24. The numbers 4 and 6 are factors and 24 is the product.
5 bags of 8 is 5 × 8 = 40. 6 + 6 + 6 = 18 is 3 × 6.
Idea 1: Equal groups
4 groups of 6 is 6 + 6 + 6 + 6 = 24. We write 4 × 6 = 24.
Idea 2: Repeated addition
7 + 7 + 7 is 3 groups of 7. We write 3 × 7 = 21.
Idea 3: Fast facts
5 × 8 = 40 and 9 × 2 = 18. The answer is the product.
Why multiply? It is faster than adding the same number many times.
3. Worked examples
Example 1 (I show you): Groups
4 × 6 = ?
- 6 + 6 + 6 + 6.
Answer: 24
Example 2 (We do it together): Write
Write 7 + 7 + 7 as multiplication.
- 3 groups of 7.
Answer: 3 × 7 = 21
Example 3 (You try): Product
5 × 8 = ?
Show the steps and answer
- 5 groups of 8.
Answer: 40
Did you know?
The numbers we multiply are called factors. The answer is the product.
Why this matters
Equal groups appear in shopping, sharing and building.
4. Explore: make groups
You need 24 counters.
- Make 4 groups of 6.
- Write 6 + 6 + 6 + 6.
- Write the multiplication 4 × 6.
- Make 5 groups of 8 and write both ways.
Think about it: what did you notice?
4 × 6 = 24; 5 × 8 = 40.
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 repeated addition is ___.
- The multiplication is ___ × ___.
- The product is ___.
Guided practice
Question 1. 6 + 6 + 6 + 6?
24.
Question 2. Write 6 + 6 + 6 as multiplication.
3 × 6.
Question 3. 5 × 8?
40.
Independent practice
Level 1: Start
- 4 × 6
- 5 × 8
- Write 7 + 7 + 7 as a multiplication.
- 7 × 3
- 9 × 2
Level 2: Grow
- 3 × 5
- 6 groups of 2
- 4 + 4 + 4 as multiplication
Level 3: Stretch
- 8 × 4
- 9 + 9 + 9 + 9 + 9 as multiplication and its product
- Ali writes 5 + 5 + 5 as 5 × 5. What is wrong?
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
A trader has 8 baskets with 5 mangoes each. How many mangoes?
Show a sample answer
40 mangoes.
Another one. There are 6 plates with 4 mangoes on each. Write the multiplication and the total.
Show a sample answer
6 × 4 = 24
7. Common mistakes
Fix: 4 × 6 means 4 groups of 6.
Fix: 4 × 6 means 4 groups of 6.
Fix: Use repeated addition only to understand it.
8. Lesson summary and revision card
- I know multiplication is equal groups.
- I can write repeated addition as multiplication.
- I can find the product.
- I can read multiplication sentences.
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
- Equal groups.
- Repeated addition.
- × means groups of.
11. Next lesson
Next lesson: Multiplication arrays. 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.
- Write 7 + 7 + 7 as a multiplication. [2 marks]
- 4 × 6 = ? [2 marks]
- 5 bags with 8 mangoes in each. How many? [2 marks]
- What is the answer to a multiplication called? [1 mark]
- Ali writes 5 + 5 + 5 as 5 × 5. Is he right? Explain. [3 marks]
Total: 10 marks.
Marking guide and model answers
- 3 × 7 [1] = 21 [1]
- 6 + 6 + 6 + 6 [1] = 24 [1]
- 5 × 8 [1] = 40 [1]
- The product [1]
- No [1]. 3 groups of 5 [1]. 3 × 5 = 15 [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
- 4 × 6
- 5 × 8
- 7 + 7 + 7 as multiplication
- 7 × 3
- 9 × 2
- 6 + 6 + 6 + 6 =
- 6 + 6 + 6 as multiplication
- 5 bags of 8 =
- 7 × 3 =
- 9 × 2 =
Homework
Make equal groups of objects at home and write the multiplication.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| 4 × 6 | 24 | 2 |
| 5 × 8 | 40 | 2 |
| 7 + 7 + 7 as multiplication | 3 × 7 | 2 |
| 7 × 3 | 21 | 2 |
| 9 × 2 | 18 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 24; 2 40; 3 3 × 7; 4 21; 5 18.
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 24; 7 3 × 6; 8 40; 9 21; 10 18.
Independent practice answers. Level 1: 1 24; 2 40; 3 3 × 7 = 21; 4 21; 5 18. Level 2: 1 15; 2 12; 3 3 × 4. Level 3: 1 32; 2 5 × 9 = 45; 3 There are 3 groups of 5, so it is 3 × 5 = 15..
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Say that multiplication means equal groups | 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 repeated addition as multiplication | 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 Find the total of equal groups | 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 and read 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 |
Courseversity badge thresholds (overall quiz score): Gold = 90–100%; Silver = 80–89.9%; Bronze = 70–79.9%. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Reading 4 × 6 as 4 + 6. 4 × 6 means 4 groups of 6.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Use counters in cups, same number in each cup.
- 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 learns that multiplication means equal groups. You do not need to be good at mathematics to help.
- Use sweets or counters to make equal groups.
- Ask: how many groups? how many in each?
- Write the repeated addition and the multiplication.
- 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: say that multiplication means equal groups; write repeated addition as multiplication; find the total of equal groups; write and read a multiplication sentence.
Prerequisite knowledge. Grade 2 multiplication.
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 24 counters. 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 group? 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. Reading 4 × 6 as 4 + 6. 4 × 6 means 4 groups of 6.
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. Use counters in cups, same number in each cup. 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
This lesson is based on the sources below, and no official 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. Where a standard code is named, it points to the official framework.
Official standards for this topic area. Common Core State Standards for Mathematics (official site): Grade 3 » Operations & Algebraic Thinking; Grade 3 » Number & Operations in Base Ten. These pages list the standards that cover this topic area; read them alongside the lesson.
Research used to shape this lesson. Common Core 3.OA.A.1 (interpret products); Cambridge Primary Mathematics Stage 3 (multiplication). These sources informed the lesson.