Reasoning with large numbers

Year 5 Maths – Unit 1: Lessons 1–10

Australian Education Research Organisation(AERO), www.edresearch.edu.au

numbers
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Developed in partnership between AERO and Ochre Education, these lesson resources support the use of effective, evidence-based practices and address the learning expected in the Australian Curriculum. An exemplar unit plan provides guidance on the structure, sequence and decision-making made during the planning process.

This sequence of 10 lessons will teach students about six-digit numbers and their properties.

Lesson 1 Identifying the place value of digits in six-digit numbers

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Students will be representing six-digit numbers pictorially using place value counters and base 10 blocks. They will also learn how to partition six-digit numbers.

Lesson 2 Comparing six-digit numbers using inequalities

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Students will use place value charts to identify the value of digits in six-digit numbers. They will also write inequality statements with six-digit numbers.

Lesson 3 Ordering and comparing six-digit numbers using number lines

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Students will be using number lines to order and compare numbers, and place six-digit numbers on number lines with different scales.

Lesson 4 Rounding six-digit numbers to the nearest 100,000 and 10,000

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Students will be using number lines to round six-digit numbers to the nearest multiple of 100,000 and 10,000.

Lesson 5 Rounding six-digit numbers to the nearest 100,000, 10,000 and 1,000

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Students will be using place value to round six-digit numbers to the nearest multiple of 1000, 10,000 and 100,000.

Lesson 6 Solving problems involving rounding

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Students will use knowledge of rounding to the nearest 1000, 10,000 and 100,000 to solve problems involving rounding.

Lesson 7 Solving problems involving place value and rounding

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Students will be applying their knowledge of place value and rounding to different problems using these strategies.

Lesson 8 Revision

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Students will be revising their understanding of large numbers.

Lesson 9 Investigating Roman numerals up to 100

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Students will learn to use their knowledge of place value to solve different worded problems where they will have to select numbers that have certain properties from a set.

Lesson 10 Investigating Roman numerals up to 1000

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Students will be identifying the way to write the corresponding Roman numerals for values between 1 and 1000.