New
New
Year 4

Partition one of the factors in a multiplication equation using representations

I can partition one of the factors in a multiplication equation in different ways using representations.

New
New
Year 4

Partition one of the factors in a multiplication equation using representations

I can partition one of the factors in a multiplication equation in different ways using representations.

Lesson details

Key learning points

  1. We can easily calculate multiples of a number by adding on or subtracting that number from an adjacent multiple.
  2. Multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
  3. A factor can be partitioned to solve multiplication problems efficiently.

Common misconception

Counters are being used for unitisation in this lesson but sometimes pupils can struggle to understand that counters can be worth different amounts without a proportional change in size.

Count up and down in different amounts using the counters so that children understand they represent a unit that can have different values in different examples.

Keywords

  • Multiples - The product of a number and an integer.

  • Partition - The act of splitting an object or value down into smaller parts.

  • Distributive law - The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

  • Adjacent - Next to each other. In this lesson, it’s used to refer to multiples that are next to one another.

Make use of giant PE hoops and tennis balls for partitioning so that children can make large movements to physically manipulate and partition the tennis balls.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
What is the missing number in the equation below? 7 × = 35
Correct Answer: 5
Q2.
What is the missing number in the equation below? × 4 = 44
Correct Answer: 11
Q3.
What is the missing number in the equation below? 9 × = 27
Correct Answer: 3
Q4.
Tick the two equations that show that multiplication is commutative.
Correct answer: 3 × 10 = 30
45 = 9 × 5
8 × 5 = 40
Correct answer: 30 = 3 × 10
Q5.
There are 6 jars of 400 marbles. Match the objects with group size or number of groups.
Correct Answer:6 jars,number of groups marbles

number of groups marbles

Correct Answer:400 marbles ,group size

group size

Q6.
The product of a multiplication will always be the __________ of the related division fact.
Correct answer: dividend
divisor
quotient

6 Questions

Q1.
Tick the equations that are represented by this part-part-whole model.
An image in a quiz
Correct answer: 4 + 1 = 5
5 × 1 = 5
Correct answer: 5 − 1 = 4
Correct answer: 5 − 4 = 1
Q2.
Tick the equations that are represented by this part-part-whole model.
An image in a quiz
4 + 1 = 5
Correct answer: 4 × 8 + 1 × 8 = 5 × 8
Correct answer: 5 × 8 = 5 × 8 − 1 × 8
Q3.
Tick the equations that are represented by this stacked number line.
An image in a quiz
4 × 4 + 5 × 4 = 1 × 4
Correct answer: 4 × 4 + 1 × 4 = 5 × 4
Correct answer: 4 × 4 = 5 × 4 − 1 × 8
Q4.
Tick the equations that are represented by this part-part-whole model.
An image in a quiz
3 + 2 + 5 = 10
Correct answer: 5 − 2 = 3
Correct answer: 3 + 2 = 5
Q5.
Tick the equations, showing the distributive law, that are represented by this part-part-whole model.
An image in a quiz
Correct answer: 3 × 5 + 2 × 5 = 5 × 5
Correct answer: 5 × 5 − 2 × 5 = 3 × 5
3 + 2 = 5
Q6.
Tick the equations, showing the distributive law, that are represented by this stacked number line.
An image in a quiz
5 × 8 − 2 × 8 = 7 × 8
Correct answer: 7 × 8 − 2 × 8 = 5 × 8
Correct answer: 5 × 8 + 2 × 8 = 7 × 8