Hook Line Sinker

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Hook Line Sinker
An online resource book for people who teach Mathematics
Copyright © 2019 by John Rowe. All rights reserved.

Visit the author’s website at www.mrrowe.com

First Edition

This e-book has been written to support teachers to navigate online resources shared by people around the world. The resources I have referenced or linked are the intellectual property of the person(s) or corporations from which they have been linked and/or referenced to. I intend to take no royalties or financial benefit as a result of this e-book.

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Ebook formatting by Book Creator, a trading name of Red Jumper Limited
Cover design by John Rowe
Illustrations © 2019 John Rowe

contents

introduction

so, you're about to teach...

deep sea fishing -

fishing hot spots -

fishing gurus -

big catches -

sharing this book around
acknowledgements

trigonometry & pythagoras theorem
linear algebra
indices (exponents)
quadratics (parabolas)
probability
sequences & series

planning a conceptual approach

frequently used resources

great mathematical explanations

key contributors

1

5
7
9
11
13
15

17

19

21

23

25
26

how to use this book

The more lessons I taught, the bigger the issue became of collating and organising resources. A key challenge is knowing where and how a resource could be used.

I devised a fairly simple and scalable model for sorting the resources I used, knew about, or created: Hook, Line, Sinker.

I created this resource for:
• teachers who simply don't have time to navigate thousands of online resources
• the teacher about to start a unit who wants to "see how someone else might do it"
• myself (I have a terrible file management system and an even worse memory)

hook

line

sinker

How will you hook them in?

• Activities that don't rely on prerequisite knowledge
• Create the headache
• Develop the Need to Learn
• Language to interpret

How will you build on what they already know?

• Activities to teach through
• Builds on a concept
• Prescribe the aspirin
• Hero's Journey
• Skills & procedures to learn

How will you help them consolidate what they learn?

• Activities to apply learning
• Productive practice
• Multiple representations
• Connect to other topics
• Understanding of concept

what is hook line sinker?

Similar to various teaching and learning frameworks, the Hook-Line-Sinker approach requires teachers to ask themselves:

• Why would students want to learn this?
• How might I teach students and help them learn more?
• What might help students consolidate their learning?

Organising resources in this way helps teachers to use the model on two levels:
1. Lesson planning (similar to a "starter, main, dessert")
2. Unit planning

In this book, I have organised the key tasks I use when teaching a topic. Some tasks have been classified as a "Hook" that can definitely be used as a "Line" or a "Sinker", but for simplicity sake, I have categorised it as how I would usually use that task.

For each topic, I have used the Hook-Line-Sinker model to show how and when I might use different resources and how I sequence learning. This is just one example, and even I would vary the sequence based on my learners' needs and the constraints I have to work within.

hook

line

sinker

Hook-Line-Sinker model mapped to the
5E's Teaching and Learning Model

Engage

Explore
Explain

Elaborate
Evaluate

structure of the book

I have deliberately created this book in a simplistic way. Each "topic" includes a brief overview of what I'm going after as a teacher.

The example sequences are purely a conduit for the locations of the tasks I use.

Bait - What I want students to take
This helps me summarise the key aspects I want students to take away with them, beyond the skills and procedures.This is in simplistic language to help me (and hopefully you) to understand and come back to when I'm too busy to think about it.

Hook, Line, Sinker
This helps show the importance of language and prior knowledge in the topic. This model, although far from perfect, is a simplistic way of showing that connections and extensions can help students consolidate what they learn in the Hook and Line columns.

example sequences

As you can see, there isn't a whole heap of detail in the example sequences. This has been designed for teachers who simply want to see how and where a task could fit into a bigger unit. These tasks support my teaching - they don't replace it.

I always taught in quite long lesson blocks ~100 minutes, but I realise that not everyone had that luxury. The sequence can be used as a lesson, series of lessons across a week or sporadically.

Although most of the white rectangles have one task, there are a few with two tasks. This might be because they are short or work well together. Additionally, some tasks are quite big and can be used as a Hook and Line.

A very important note is that the tasks in the sequences are only the "key tasks" and do not include the resources I use on a continual basis. Additionally, I have not included anything that you might typically find in a textbook. All the resources linked in this book are free.

Things not included in the example sequences, which I use regularly are:
• Diagnostic Questions
• Estimation 180

trigonometry &
pythagoras theorem

bait

Trigonometry is not all that different from similar triangles
Triangles have 180 degrees
A right angle triangle has one angle of 90 degrees
Sin Cos and Tan are all ratios of the sides depending on the angle
Draw diagrams for yourself, especially with 3D problems
Right-angled triangles are half a rectangle
The two legs of a right-angle triangle squared = hypotenuse squared

hook

line

sinker

Similar triangles
Ratio
Scale
Adjacent
Hypotenuse
Opposite
Squared
Square-root

SOH CAH TOA
Congruent Triangles
Sine Cosine Tangent functions
Solving 3D problems
Sine and Cosine rule
Ambiguous Case
Pythagoras Theorem
Bearings

Unit Circle
Periodic Functions
Radians
Pythagorean Triples