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Multiplication and Division
Objectives
To solve multiplication and division questions.
To understand division as the inverse of multiplication.
Resources
Abacus Workbook 3 | Small objects or toys to demonstrate grouping | 📄 Beaded line with hops | 📄 0–30 beaded line | 📄 Multiplication cards
Vocabulary
multiplication | multiply | times
Today's Lesson
What to Get Ready
Print and cut out the 📄 Multiplication cards.
Introduction
Before you start the lesson, watch this Recap Video with your student.
Revisit grouping as a concept via demonstration and modelling with objects, then arrays, before proceeding with the lesson.
Then, show the 📄 Beaded line with hops (first line – demonstrating 3 hops of 5).
Ask your student to think about and then discuss with you what multiplication is being shown.
Agree that the hops are showing 3 lots of 5, which total 15.
Write: 3 × 5 = 15.
Explain:
- The number line also shows us that 15 can be divided into groups of 5: three of them.
Write: 15 ÷ 5 = 3.
Display the 📄 Beaded linewith hops (second line – demonstrating 4 hops of 2).
Ask your student to think and then discuss with you the multiplication being shown.
Agree that this is showing us that 4 lots of 2 are 8.
Ask:
- What number sentence can we write to represent this? (4 x 2 = 8)
The number line hops also show us that 8 can be divided into 4 lots of 2.
Ask:
- What number sentence can we write to show this? (8 ÷ 2 = 4).
Some students may benefit from seeing this modelled with objects too.
Display the 📄 0–30 beaded line and write 4 × 5 alongside. Challenge your student to draw the hops for this multiplication on the line.
Ask:
- Can we do the opposite and write the matching division?
Repeat with other times 2 or times 5 multiplications with products (answers) up to 30. Write each multiplication with a corresponding division.
For example: 5 × 2 = 10, 10 ÷ 2 = 5.
Main Activity
Ask your student to pick a card from the prepared 📄 Multiplication cards (times 2, times 5 or times 10) out of a bag.
They should then draw the hops onto a beaded line to find the answer, and then write the corresponding division.
Repeat.
Workbook
To help your student build upon their learning from today, please ask them to complete the activities on page 33 of Abacus Workbook 3.