Myths about teaching can hold you back
- Year 7
Securing understanding of place value in integers
I can state the value of any digit in a given integer.
- Year 7
Securing understanding of place value in integers
I can state the value of any digit in a given integer.
Lesson details
Key learning points
- It is difficult to know what a digit represents if you do not know its place value.
- An integer can be written as the sum of the place value of its digits.
- Rearranging the digits in an integer can alter its overall value.
Keywords
Digit - A digit is one of the symbols of a number system. In our number system we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
Integer - An integer is any positive or negative whole number or zero. E.g. -2, 0, 153 are all examples of integers.
Common misconception
Pupils may think the digit card 0 has to have significant place value.
If the question doesn't specify the number of digits, leading zeros can be used (and not written) to create integers with fewer digits.
To help you plan your year 7 maths lesson on: Securing understanding of place value in integers, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Securing understanding of place value in integers, 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 3 maths lessons from the Place value unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.How many different digits are there in our number system?
Q2.What is the missing value in this partitioning model?

Q3.What is the value of the digit 5 in the number 25 381
Q4.Which of these are integers?
Q5.Starting with the smallest, sort these integers into ascending order.
Q6.Match the integer to the multiple of 1000 it is closest to.
15 621 -Â
16 000
15 394 -Â
15 000
13 501 -Â
14 000
13 099 -Â
13 000
Assessment exit quiz
6 Questions
Q1.Using the digit cards, make the largest 6-digit integer possible

Q2.Which of these integers are written with correct spacing?
Q3.Starting with the smallest, sort these integers into ascending order.
Q4.Match the integers with the calculations
2032 -Â
$$3\times 10 + 2\times1+2\times1000$$
2230 -Â
$$30+200+2000$$
2302 -Â
$$2\times 1000 + 3\times 100 +2$$
2320 -Â
$$2000+20+300$$
3022 -Â
$$2\times10 +2\times1 +3\times 1000$$
Q5.How many unique integers can be made from these digits?
