# Linear Measure – Apprenticeship and Workplace Mathematics 10

This ebook, Linear Measure, is made up of several lessons in geometry from the Grade 10 syllabus, including estimating and measuring length and distance, measuring diameters, locating midpoints, and linear problems.

The maths textbook includes sections on Lessons, Essential Questions, Focus, Get Started, Activities, Explore, Bringing Ideas Together and Lesson Summary.

This ebook is brought to us in creative commons (CC-BY-NC) by Open School British Columbia. OSBC provides distance learning, along with support, educational resources and tools for open education that are designed for K-12 Students, adult learners, parents, and teachers.

This school textbook is from Open School BC see more textbooks like this one in our OpenSchoolBC category, or by visiting their website. at https://www.openschool.bc.ca/k12/

Section Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V
Linear Measure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1
Lesson A: Estimating and Measuring Length and Distance. . . . . . . . 3
Lesson B: Measuring Diameters. . . . . . . . . . . . . . . . . . . . . . . . . . .21
Lesson C: Locating Midpoints. . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
Lesson D: Linear Problems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
Appendix. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .83
Data Pages. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
Activity Solutions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
Glossary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109

### Sample from Linear Measure – Apprenticeship and Workplace Mathematics 10

Maxine is planning a rectangular patio for her backyard. She has
room for a patio that measures 15 ft long × 12 ft wide. Maxine has
decided that the patio will be built using interlocking bricks, but she
wants a wooden frame around the perimeter. What is the total length
of framing that Maxine will need?

Solution

The perimeter, P, is the length of the four sides added together:

Maxine will need 54 ft of framing for her patio.

<end of sample page>

### 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.