Solve problems with 4-digit dividends using factors and long division
Lesson details
Learning outcome
I can solve problems with 4-digit dividends using factors and long division.
Key learning points
- Factors of a divisor can be used to divide a dividend.
- Listing multiples of the divisor improves efficiency and accuracy with written division methods.
- Listing multiples helps to reduce the number of steps in the long division.
Keywords
Factor - Factors are numbers that multiply together to equal another number.
Long division - Long division is a method used for dividing large numbers by breaking the number down into smaller groups.
Prime number - A prime number is a number with exactly 2 factors.
Remainder - A remainder is an amount left after a division.
Common misconception
Pupils may be overwhelmed by the long division algorithm, especially with using multiples of the divisor and subsequent subtraction calculations.
Encourage pupils to complete and make use of the multiplication facts tables to support them in their calculation.
Teacher tip
In this lesson, pupils explore strategies for calculating 4-digit numbers divided by a 2-digit number. Pupils should have some familiarity with factors before the session, including describing numbers using 3 or 4 factors. They should also have some experience of using the long division algorithm.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.The factor pairs of 20 are:
Q2.Match the multiplication equations to related division facts.
140 ÷ 10 = 14
28 ÷ 2 = 14
56 ÷ 4 = 14
280 ÷ 20 = 14
420 ÷ 30 = 14
Q3.Use the multiplication facts to derive 14 × 13 =
Q4.Match the equations to their products.
18
36
72
90
180
Q5.Which of the following is a reasonable estimate for the following equation. 414 ÷ 18 =
Q6.Calculate the equation using long division. 414 ÷ 18 =
Assessment exit quiz
6 Questions
Q1.Select equivalent expressions with a product of 24
Q2.How could 2,120 be divided by 24?
Q3.Complete the missing expression from the box below.
Q4.Which partition pair is missing from the part-part-whole model to show efficient division?
Q5.Which of the following is a reasonable estimate for the following equation: 5,405 ÷ 23 =
Q6.Calculate the equation using long division.
To help you plan your 6 maths lesson on: Solve problems with 4-digit dividends using factors and long division, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Solve problems with 4-digit dividends using factors and long division, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Multiplying and dividing by 2-digit numbers unit, dive into the full primary maths curriculum, or learn more about lesson planning.