Checking understanding of place value in integers
Lesson details
Learning outcome
I can use my understanding of place value to create numbers that meet certain conditions.
Key learning points
- The place value of a digit affects the overall value of an integer.
- Integers with the same digits have different values depending on the place value of those digits.
- An integer can be partitioned using place 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
When making a 3-digit integer pupils use 0 as the first digit. However 057 is not a 3-digit integer.
Leading zeros are not written. They are not needed to preserve the place value of other digits. 057 is still a 2-digit integer.
Teacher tip
When questions have restrictions on the type of integer pupils can make with digit cards, e.g. even or odd, highlight that this is a problem solving skill. They need to think about where the digits can be placed and deal with restrictions first.
Licence
except where otherwise stated. See Oak's terms & conditions (Collection 2).Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.In words the number 1 000 000 is written as one __________.
Q2.Which of these is the number three thousand and thirty three?
Q3.The number 50 550 can be written in words as
Q4.Which number completes the part-whole model?
Q5.Which of these is how you write thirty million?
Q6.Starting with the smallest, sort these whole numbers in order of size.
Assessment exit quiz
6 Questions
Q1.0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the __________ we use in our number system.
Q2.This integer has been partitioned using place value. Which of these completes the model correctly?
Q3.What is the value of the 3 in the integer 430 504?
Q4.Which of these integers has a 5 in the hundred millions place?
Q5.Starting with the smallest arrange these integers in ascending order.
Q6.Using the digits 5, 3, 8, 0 and 6 only once each, which is the smallest 5-digit odd integer you can make?
To help you plan your 7 maths lesson on: Checking understanding of place value in integers, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 7 maths lesson on: Checking 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.