The Year 5 Round within 100,000 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
rounding: When a number is replaced with an approximated value. Numbers are often rounded to the nearest 10, 100 or 1,000.
multiple: A product of one number multiplied by another number. For example: multiples of 10 are the products of numbers multiplied by 10.
midpoint: The point on a number line that is exactly halfway between the start and end values.
number lines: A horizontal or vertical line which has numbers placed at equal points. Number lines can be used to show either positive or negative numbers. Most number lines begin at 0.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Finding multiples, the midpoint and rounding to the nearest 10,000.
Support
• Q1: Round to the nearest 10,000; midpoint labelled; number on a line.
• Q2: Round a number to the nearest 10,000 and 1,000; stem sentence.
• Q3: Round to the nearest 100, 1,000 and 10,000; place value grid for each question.
Core
• Q1: Round to the nearest 10,000; midpoint labelled; number not on a line.
• Q2: Round a visitor number to the nearest 10,000 and 1,000; midpoint labelled.
• Q3: Round to the nearest 100, 1,000 and 10,000 using a place value grid.
Stretch
• Q1: Round to the nearest 10,000; no midpoint labelled; includes a halfway number.
• Q2: Round a visitor number to the nearest 10,000 and 1,000; no midpoint labelled.
• Q3: Round to the nearest 100, 1,000 and 10,000; digits on the rounding boundary.
Reasoning and Problem Solving
Support
• Q1: Reasoning - explaining whether a 5-digit number has been rounded to the nearest 10,000 correctly; midpoint, previous and next multiple are labelled.
• Q2: Reasoning – which number is the odd one out of three 5-digit numbers; rounding to the nearest 10,000; a blank number line is given.
• Q3: Problem Solving - using five digit cards to build a number that rounds to a given multiple of 10,000; the range is given.
Core
• Q1: Reasoning - explaining whether a 5-digit number has been rounded to the nearest 10,000 correctly.
• Q2: Reasoning – which number is the odd one out of three 5-digit numbers; rounding to the nearest 10,000 across two different multiples.
• Q3: Problem Solving - using five digit cards to build a number that rounds to a given multiple of 10,000.
Stretch
• Q1: Reasoning - explaining whether a 5-digit number has been rounded to the nearest 10,000 correctly; numbers sit either side of a midpoint.
• Q2: Reasoning – which number is the odd one out of three 5-digit numbers; each number is rounded to the nearest 10,000 and to the nearest 1,000 and the two answers compared.
• Q3: Problem Solving - using five digit cards to build a number that satisfies two rounding conditions.
Deeper Reasoning
The questions in this set focus on using the clues to identify the numbers to deepen understanding in rounding any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000.