In this Year 5 Partition Numbers to 1,000,000 lesson, children read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit
The Year 5 Partition Numbers to 1,000,000 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
place value chart: Used to identify the value of the digits that make up a number.
partitioning: The splitting of a number into different parts. For example: the number 547 can be partitioned into 500, 40 and 7.
bar model: Show how numbers can be split into different parts, by splitting them into bars or boxes. Bar models can be used to solve a wide variety of calculations, showing the relationship between the whole model and the parts.
flexible partitioning: The splitting of a number into different parts in different ways. For example: the number 64 could be broken down into 5 tens and 14 ones.
part-whole model: A representation showing the whole number and the parts it has been split into.
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, writing the value of each digit and grouping the thousands and the ones.
Support
• Q1: Place value chart; complete the number sentence; two parts given.
• Q2: Place value chart; complete the bar model; the ones part is given.
• Q3: Part-whole model and bar model; 2 and 3 parts; one part is given.
Core
• Q1: Place value chart; complete the number sentence; no parts given; placeholder included.
• Q2: Place value chart; complete the bar model; 3 and 4 parts; all parts missing.
• Q3: Part-whole model and bar model; 3 and 4 parts; all parts missing.
Stretch
• Q1: Place value chart; complete the number sentence; all parts missing; placeholders included.
• Q2: Place value chart; complete the bar model; whole and both parts missing.
• Q3: Part-whole model and bar model; 3 and 4 parts; one part given – requires exchanges for remaining parts.
Reasoning and Problem Solving
Support
• Q1: Reasoning - explaining whether the missing value in a number sentence is correct; place value chart to support; one missing value.
• Q2: Reasoning - deciding whether a number can be partitioned in the given way; thousands and ones
• Q3: Problem Solving - splitting a six-digit total between two warehouses; given range; three bar models are given to record in.
Core
• Q1: Reasoning - explaining whether the missing values in a number sentence are correct; two missing values; use of placeholder.
• Q2: Reasoning - deciding whether a number can be partitioned in the given way; three parts; placeholder
• Q3: Problem Solving - splitting a six-digit total across three warehouses; three clues for each warehouse; bigger range of numbers, and 2 constraints.
Stretch
• Q1: Reasoning - explaining whether the missing values in a number sentence are correct; two missing values; use of placeholders.
• Q2: Reasoning - deciding whether a number can be partitioned in the given way; four parts; placeholders
• Q3: Problem Solving - splitting a six-digit total across three warehouses; splitting a six-digit total across three warehouses; three clues for each warehouse; more complex clues including a smaller range, multiples of 10,000 and a constraint.
Deeper Reasoning
The question focuses on problem solving with place value counters to deepen understanding in reading, writing, ordering and comparing numbers to at least 1,000,000 and determining the value of each digit.
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.
