# The Emperor’s Army

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Purpose

This is an activity based on the picture book The Emperor’s Army

Achievement Objectives
GM4-3: Use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids.
Specific Learning Outcomes

Students will be able to model their understanding of volume through creating models and calculating volume using a formula.

Description of Mathematics

The volume of cuboids is found by multiplying the length by the height by the width. This is expressed in cubic units.

Required Resource Materials
• Lego
• The Emperor’s Army by Virginia Walton Pilegard
Activity

Lego Units
This activity is based on the picture book: The Emperor’s Army

Author: Virginia Walton Pilegard
Publisher: Pelican (2010)
ISBN: 978-1-58980-690-0

Summary:
This is another “mathematical adventure” in the Warlord series that takes place in ancient China. After being forced to flee the palace, the young apprentice discovers the terra-cotta army being built. He calculates the size of the army based on his measurements of the clay hole being dug.

Lesson Sequence:

1. Prior to reading, explore your students’ understanding of volume and seek out examples from their own lives when volume needs to be calculated or considered (filling drink bottles, packaging, pumping up sports balls etc). Compare and contrast the concept with those of perimeter and area. Create a chart to remind students about the measures

 Feature dimensions expressed as perimeter length (fence line: 1-D) units: u area length and width (carpet coverage: 2-D) units squared: u2 volume length and width and height (box: 3-D) units cubed: u3
2. Share the book with your students. As you read the story, emphasise how the apprentice calculates the volume of clay used for the soldiers and how he knows there must be more than the first ones they find. Explain that the units being used as imperial based on the old measure of the “foot”.
3. Discuss the formula used for calculating the volume of cuboids.
How would you find the volume of a wedge?