# Area – Apprenticeship and Workplace Mathematics 10

Area – Apprenticeship and Workplace Mathematics  is a Grade 10, Literacy Foundations Level 7, maths textbook available as an open education resource for non-profit, CC-BY-NC.

The maths textbook, Area, is made up of several lessons. Lessons, Essential Questions, Focus, Get Started, Activities, Explore, Bringing Ideas Together and Lesson Summary.

This school/adult education textbook is from Open School BC, a distance learning provider that provides and supports educational resources and tools that are available for free.

Designed not only for K-12 Students and adult learners but for Parents and Teachers as well.

### Contents

Section Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . .V
Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Lesson A: Estimating Area. . . . . . . . . . . . . . . . . . . . . . . . 3
Lesson B: Area Formulas 1. . . . . . . . . . . . . . . . . . . . . . . .21
Lesson C: Area Formulas 2. . . . . . . . . . . . . . . . . . . . . . . .41
Lesson D: Surface Area—Prisms and Pyramids. . . . . . . . . .61
Lesson E: Surface Area—Cylinders and Cones. . . . . . . . . . 83
Lesson F: Perimeter and Area. . . . . . . . . . . . . . . . . . . . . .105
Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .131
Data Pages. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .133
Activity Solutions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .141
Glossary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175
Parallelogram Template. . . . . . . . . . . . . . . . . . . . . . . . . . 179
Triangle Template. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181
Net for Activity 3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .183
Cone Net Template. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185
Grid Paper. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .187

Sample page from Area – School Text Book

Example 1
A 30 inch square of cloth is cut along the diagonal to make a
triangular bandanna. What is the area of the triangular part?

From the question, we know that:
b = 30 in
h = 30 in
Substitute the known values into the formula.
A = ½ bh
= ½ × 30 in × 30 in
= 450 in2
The area of each triangle is 450 in2.

<end of Sample from Area>

### Lessons

Lessons have a combination of reading and hands-on activities to give you a chance to process the material while being an active learner. Each lesson is made up of the following parts:

Essential Questions

The essential questions included here are based on the main concepts in each lesson. These help you focus on what you will learn in the lesson.

Focus
This is a brief introduction to the lesson.

Get Started
This is a quick refresher of the key information and skills you will need to be successful in the lesson.

Activities
Throughout the lesson you will see three types of activities:
• Try This: activities are hands-on, exploratory activities.
• Self-Check: activities provide practice with the skills and concepts recently taught.
• Mastering Concepts: activities extend and apply the skills you learned in the lesson.

You will mark these activities using the solutions at the end of each section.

Explore
Here you will explore new concepts, make predictions, and discover patterns.

Bringing Ideas Together
This is the main teaching part of the lesson. Here, you will build on the ideas from the Get Started and the Explore. You will expand your knowledge and practice your new skills.

Lesson Summary
This is a brief summary of the lesson content as well as some instructions on what to do next.