Using patterns in counting sequences
Lesson details
Learning outcome
I can use patterns in counting sequences.
Key learning points
- Counting patterns and known facts support calculation with millions.
- Counting patterns can be represented as addition and subtraction equations.
- Missing values can be calculated using addition and subtraction.
Keywords
Sequence - A sequence is a succession of objects, diagrams or values usually formed according to a rule.
Term - Each number in a sequence is called a term. Each term has a position - a location in the sequence.
Common misconception
Children may struggle to identify or explain the pattern or to identify the number of steps from the first given number to the last instead just giving the number of missing values.
If children struggle to identify the pattern ask them to start by identifying the part of the number that is changing. Model the 'steps' rather than the missing parts to support children to see this.
Teacher tip
Children need to be confident with the language of unitising before this lesson so that they can tackle the new concepts. Consider how to scaffold this if children are less confident.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.If we count up in 1,000s, what number would come next after 9,000?
Q2.What is the missing number in this counting pattern?
20,000, 40,000, , 80,000, 100,000
Q3.If we count back in 100s, what number would we say after 1,000?
Q4.What is the missing number in this counting pattern?
35,000, 30,000, , 20,000
Q5.Match the equations to their sum.
Q6.Match the subtraction equation to its difference.
Assessment exit quiz
6 Questions
Q1.Look at this sequence of numbers. What number will come next?
287,700 288,700 289,700
Q2.Look at this sequence of numbers. What is the next term in the sequence?
982,300 981,300 980,300
Q3.Aisha counts on in 100,000s from 1,409,320 What number will she say next?
Q4.Look at this sequence of numbers, which are increasing by the same amount each step. What must each step be worth?
0, ___, ___, ___, 120,000
Q5.Look at this sequence of numbers, which are increasing by the same amount each step. What must each step be worth?
120,000, ___, ___, ___, 360,000
Q6.Look at this sequence of numbers, which are increasing by the same amount each step. What would the second term be?
2,400,000, ___, ___, 3,000,000
To help you plan your 6 maths lesson on: Using patterns in counting sequences, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Using patterns in counting sequences, 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 Order, compare and calculate with numbers up to 8 digits unit, dive into the full primary maths curriculum, or learn more about lesson planning.