New
New
Year 6

Explain how to multiply a 3-digit number by a 2-digit number

I can explain how to multiply a 3-digit number by a 2-digit number.

New
New
Year 6

Explain how to multiply a 3-digit number by a 2-digit number

I can explain how to multiply a 3-digit number by a 2-digit number.

Lesson details

Key learning points

  1. Partition one of the factors.
  2. Calculate the partial products.
  3. Add the partial products to recombine.

Common misconception

Children lack fluency and recall in multiplication tables and therefore lose the thread of longer multiplication strategies.

Providing multiplication grids and / or adapting questions to focus on known multiplication tables can support learners to focus on the steps of an algorithm.

Keywords

  • Partial product - Any of the multiplication results we get leading up to an overall multiplication result is a partial product.

This lesson uses Olympics and similar large-scale sport events as contexts for multiplication of larger integers. If adapting contexts, consider real-life contexts in which pupils will encounter 3-digit numbers and have reason to multiply these.
Teacher tip

Equipment

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.
Match the equation to its product.
Correct Answer:1.7 × 10 =,17

17

Correct Answer:12.7 × 10 =,127

127

Correct Answer:1.07 × 100 =,107

107

Correct Answer:1.77 × 100 =,177

177

Correct Answer:7.7 × 100 =,770

770

Q2.
What is $$7^2$$?
36
14
9
Correct answer: 49
56
Q3.
What is $$8^2$$?
4
9
16
49
Correct answer: 64
Q4.
Calculate the product using short multiplication 42 × 6 =
Correct Answer: 252
Q5.
Calculate the product short multiplication 223 × 5 =
Correct Answer: 1,115
Q6.
Sofia has £99 and Lucas has seven times this amount. How much money does Lucas have? £
Correct Answer: 693

6 Questions

Q1.
Look at the grid model for 31 × 29 shown. 29 has been partitioned into …
An image in a quiz
2 and 9
20 and 90
Correct answer: 20 and 9
9 and 2
Q2.
Look at the part–part-whole model. The multiplication expression is:
An image in a quiz
45 × 9
45 × 90
45 × 91
Correct answer: 45 × 19
Q3.
Which of these part-part-whole models represents 315 × 12
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q4.
Which of these part-part-whole models represents 55 × 13
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q5.
Calculate 45 × 32 = Use a grid model to show your thinking.
Correct Answer: 1,440
Q6.
Calculate 145 × 33 = Use a grid model to show your thinking.
Correct Answer: 4,785