In this Year 5 10/100/1,000/10,000/100,000 More or Less lesson, children count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000.
The Year 5 10/100/1,000/10,000/100,000 More or Less PowerPoint guides both teachers and children through the lesson, including use of the varied fluency, reasoning and problem solving, deeper reasoning and scaffolded resources. Key learning information about this step:
Key Vocabulary
place value chart: Used to identify the value of the digits that make up a number.
Gattegno chart: A type of place value chart designed to help children recognise the patterns in the way that we count and our number structure.
powers of 10: When ten is multiplied by itself a certain number of times (when the power is a positive integer). For example: 10,000 means 10 x 10 x 10 x 10 (10 to the power of 4).
sequence: A series of numbers or images that follow a set pattern. For example: numbers may increase by 2 each time.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
For the purple sections of the four levels, copy and paste these from the first sheet of the varied fluency resource.
Scaffolded Examples
• Reading a place value chart, using a Gattegno chart and finding a step size.
Support
• Q1: Place value chart; the written number is given; 10, 100 and 1,000 more or less.
• Q2: Complete statements; 10,000 more or less and 1,000 more; number shown in chart.
• Q3: Two number tracks; two consecutive numbers missing; steps of 10 to 1,000.
Core
• Q1: Place value chart; one placeholder; one answer crosses a boundary.
• Q2: Complete statements; 10,000 more or less and 100,000 more; chart given without number
shown.
• Q3: Two number tracks; two consecutive numbers missing; 1,000s or 10,000s.
Stretch
• Q1: Place value chart; placeholders; each answer builds on the one before.
• Q2: Complete statements; answers cross into six digits; no Gattegno chart.
• Q3: Two number tracks; three numbers missing in various places, numbers cross boundaries.
Reasoning and Problem Solving
Support
• Q1: Reasoning - explaining whether a sequence continues correctly; the next number and a Gattegno chart are given.
• Q2: Reasoning - deciding whether statements about adding 10 and subtracting 100 are always, sometimes or never true; a place value chart is given.
• Q3: Problem Solving - choosing which of five given numbers could be the starting number for three steps.
Core
• Q1: Reasoning - explaining whether the next two numbers in a sequence are correct.
• Q2: Reasoning - deciding whether statements about adding 10,000 and adding 1,000 are always, sometimes or never true.
• Q3: Problem Solving - finding possible starting numbers for three steps that end in a given range.
Stretch
• Q1: Reasoning - explaining whether the next three numbers in a sequence are correct; an exchange is needed.
• Q2: Reasoning - deciding whether statements about counting in 1,000s and about inverse operations are always, sometimes or never true.
• Q3: Problem Solving - finding starting numbers for three steps that also meet given digit conditions.
Deeper Reasoning
The questions in this set focuses on using digit cards to create numbers to follow the rules of a function machine to deepen understanding in counting forwards or backwards in steps of powers of 10 for any given number up to 1,000,000.
This lesson is designed to align to White Rose Maths version 3. Classroom Secrets Limited is not affiliated with, endorsed by, or in any way connected to White Rose Education Limited. Our products are original to Classroom Secrets Limited and any reference to White Rose Maths is solely for the purpose of indicating compatibility and does not imply any association with White Rose Education.