An excellent online resource book for people who teach Mathematics.

Hook Line Sinker

Did you realise Book Creator could be used in the mathematics classroom? It can! Here are some great examples.

Math books

<a href="https://teacher.desmos.com/activitybuilder/custom/5b285b3cac2cf823b7fb9c4b">Orbiting the Sun</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5b83a3a2fda80e2b7bf53a8a">Pythagoras in Space</a>

<a href="https://nrich.maths.org/tiltedsquares">Tilted Squares</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/58efa58b999d890619a5663e">Exploring Length</a>

<a href="https://mathigon.org/course/triangles-and-trigonometry/pythagoras-theorem">Mathigon: Pythagoras Theorem</a>

<a href="https://www.dropbox.com/s/74vycz9xoj97p3t/Pythagorean%20Theorem%20stack%20final%20one%20really%20corrected.pdf?dl=0">Pythagoras Stack</a>

<a href="https://nrich.maths.org/2365">Fly and the Spider</a>

<a href="https://nrich.maths.org/7484">Stadium Sightline</a>

<a href="https://nrich.maths.org/11190">Garden Shed</a>

<a href="https://drive.google.com/open?id=1xcEnt_3-D38_pSrJvmVj8xUsdyT1hqna">String and cube</a>

<a href="http://robertkaplinsky.com/work/staggered-pipe-stacks/">Staggered Pipe Stacks</a>

<a href="https://whenwillineedthis.files.wordpress.com/2018/09/dhtuhpvv4aealiu.jpg?w=1200">OM: Interior Angles</a>

<a href="http://www.foster77.co.uk/Foster,%20Teach%20Secondary,%20Angle%20Chasing.pdf">Angle Chasing</a> <a href="https://mrorr-isageek.com/polygon-pile-up/">Polygon Pile Up</a>

<a href="https://drive.google.com/file/d/0B9L2lYGRiK2bU18ydWJyVDI5cTQ/view">Intro to SOH CAH TOA</a>

<a href="http://www.greatmathsteachingideas.com/2012/03/12/trigonometry-pile-up/">Trigonometry Pile Up</a>

<a href="https://mrrowe.com/openmiddle/#jp-carousel-2128">OM: 3 Triangles</a>

<a href="https://drive.google.com/open?id=1HrRCfLaLkiRBtP-xpyEHFMJfPyLRfyMu">Cooperative Logic</a>

<a href="https://drive.google.com/open?id=18nchwXVUNqCzapb76yKOmXRe-d7VVUC7">Trig Squares</a>

<a href="http://www.foster77.co.uk/Foster,%20Teach%20Secondary,%20Get%20your%20bearings.pdf">Get Your Bearings</a>

<a href="https://www.tes.com/teaching-resource/pirate-trigonometry-now-with-solutions-6317928">Pirate Trigonometry</a>

<a href="https://mrrowe.com/reversingthequestion/">Reversing the Question</a>

The <a href="https://mtbos.org/">Maths Twitter Blog'o'Sphere</a> is an online community of Maths teachers around the world. Most teachers use this community through the hashtag #MTBoS on Twitter, allowing users to filter the millions of tweets to mathematically rich information. As well as this, #iTeachMath has also taken off over the past couple of years, with a similar theme of the MTBoS specifically targeted at teachers of Mathematics. A big recommendation I'd make is to join Twitter and follow the biggest Mathematics community in the world (probably). See <a href="https://twitter.com/MrJohnRowe/lists/top-drawer">here</a> for a list of users I'd recommend following to start off with.

<a href="http://www.resourceaholic.com/">Resourceaholic</a> - Jo Morgan <a href="https://twitter.com/mathsjem">@mathsjem</a> Jo spends time highlighting the best of the best that flows through MTBoS and iTeachMath, selecting five resources each week and collating it in what she calls a "Maths Gems" post. She then organises ALL of these on her amazing website. This is usually the first and last place I go to for resources.

<a href="https://undergroundmathematics.org/">Underground Mathematics</a> - hosted by NRICH <a href="https://twitter.com/nrichmaths">@nrichmaths</a> An incredible resource for Senior mathematics teachers aimed at strengthening the connections between the branches of the mathematics we teach. Each topic has fantastic hooks, lines, and sinkers, as well as the neighbouring "station" (topics that connect nicely to it).

The line is straight, always has been and always will be Consider a line as an infinite amount of points that do the same thing x is across and y is up and down Two lines either meet once, don&#8217;t meet at all, or are exactly the same Slope is how much the line goes up or down as x increases A horizontal line has a slope of zero A vertical line has an undefined slope

Constant rate y-intercept Slope Gradient Increasing Decreasing Intersecting lines

Simultaneous Equations Solving by substitution and elimination Parallel and perpendicular lines Constructing Algebraic expressions

Arithmetic Sequences Coordinate Geometry Graphing Inequalities

As mentioned at the beginning of this book, this collation is just one example of a possible approach to organising the teaching and learning of mathematics units.

Three big pieces of advice for "deep sea fishing" are: &#8226; Adapt to your students &#8226; Connect the new to the existing &#8226; Foster a culture of mathematical thinking

A key part of my own teaching philosophy is to adapt to the needs of my learners and use what I feel fits best for that given moment. Sometimes, this might be at the beginning of a week, where I've determined a sequence of lessons that include tasks to hook the learners in, show them something new, then consolidate their understanding through some problem solving. At other times, I may divert from my plan to go deep into something my students are really getting into, or spend extra time on a concept that they're just not quite getting. The sorting of tasks into Hook, Line, and Sinker simply help me navigate the tasks I have at my disposal, which I'm familiar with and confident to use.

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: &#8226; teachers who simply don't have time to navigate thousands of online resources &#8226; the teacher about to start a unit who wants to "see how someone else might do it" &#8226; myself (I have a terrible file management system and an even worse memory)

How will you hook them in? &#8226; Activities that don't rely on prerequisite knowledge &#8226; Create the headache &#8226; Develop the Need to Learn &#8226; Language to interpret

How will you build on what they already know? &#8226; Activities to teach through &#8226; Builds on a concept &#8226; Prescribe the aspirin &#8226; Hero's Journey &#8226; Skills &#38; procedures to learn

How will you help them consolidate what they learn? &#8226; Activities to apply learning &#8226; Productive practice &#8226; Multiple representations &#8226; Connect to other topics &#8226; Understanding of concept

For those with not enough time and too much to do. time you have &#60; time it takes

introduction so, you're about to teach... deep sea fishing - fishing hot spots - fishing gurus - big catches - sharing this book around acknowledgements

trigonometry &#38; pythagoras theorem linear algebra indices (exponents) quadratics (parabolas) probability planning a conceptual approach frequently used resources great mathematical explanations key contributors

1 5 7 9 11 13 15 17 19 21 23 24

Nothing is more than a 100% chance 100% is certain to happen, 0% is certainly not, 50/50 is equal chance 1.0 = 100%, 0.5 = 50%, 0.05 = 5%, 0.01 = 1%, 0.00 = 0% Theoretical is what should happen, experimental is what did happen Independent probability is the same chance every time It&#8217;s best to be able to convert between fractions, % and decimals Dependent/conditional is a previous event affecting the probability

Chance Event Outcome Percentage Likely/Unlikely Possible/Impossible Certain Bias Fair

Tree diagrams Converting between percentages, decimals, fractions Independent events Conditional probability Experimental and Theoretical Probability Expected Value

Binomial Distributions Combinations Permutations Game theory

Please feel free to share this as much as you want. Hook Line Sinker An online resource book for people who teach Mathematics Copyright &#169; 2019 by John Rowe. All rights reserved. Visit the author&#8217;s website at <a href="https://mrrowe.com/">www.mrrowe.com</a> 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&#160;<a href="https://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>. Ebook formatting by Book Creator, a trading name of Red Jumper Limited Cover design by John Rowe Illustrations &#169; 2019 John Rowe

A Maths teaching revolution started by Dan Meyer, many incredibly generous and creative teachers now share their 3-act maths lessons, ready to download and use right away.

&#8226; <a href="https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE">Dan Meyer</a> &#8226; <a href="https://docs.google.com/spreadsheets/d/1hc1ReIbdJZbEA3fO6DE457wu4AKOfi6BFxWLRBXO-bA/edit#gid=0">Graham Fletcher</a> &#8226; <a href="https://docs.google.com/spreadsheets/d/181LP2I8fQaYxnumsYn-xcddyFjuv6zZb3JZSkBiNfk4/edit#gid=0">Robert Kaplinsky</a> (PBL lessons) &#8226; <a href="https://docs.google.com/spreadsheets/d/19sms4MpuAOO71o4qFPJyVKK-OGLnNegMgSL6WAwIdb8/edit#gid=0">Andrew Stadel</a> &#8226; <a href="http://mrorr-isageek.com/3-act-problems/">Jon Orr</a> &#8226; <a href="https://tapintoteenminds.com/3act-math/">Kyle Pearce</a>

<a href="http://wodb.ca/">Which One Doesn't Belong</a> @WODBmath Mathematical discussion is a major component of any lesson I teach. Visual prompts, which are open to many interpretations, are perfect for getting mathematically rich talk happening in my classroom. What I specifically love about the WODB prompts is that there are features that make a certain item belong and not belong, which is a fantastic way to get students to compare and contrast with mathematical evidence in their reasoning.

<a href="https://teacher.desmos.com/">Desmos Classroom Activities</a> @Desmos Undoubtedly my most visited page on my computer, these activities have taken the maths teaching world by storm. This is noticeable in any topic I teach that has a graphing component to it. My big tip is to check out the topic bundles the team at Desmos have put together, try them out using the Student Preview, and start bookmarking ones that might suit your students.

<a href="http://www.openmiddle.com/">Open Middle</a> @openmiddle I can't help myself from using and creating these nifty little maths problems. The name, Open Middle, comes from the nature of the problems; closed start, many ways to reach the problem (open), and usually one or a few solutions (closed). What I love most about these problems is how easy it is for students to get started - most of the problems truly do have a low-floor.

The art is to cast out various hooks, or ideas, that the kids will latch onto. Once they have latched onto an idea, and got a connection, then they are in a world and can begin to explore it. Garth Boomer, 1978 Where Good Teaching = Good Learning

Here are some specific people known for some really excellent stuff:

Sara Van Der Werf Dan Finkel Andrew Stadel Don Steward Kyle Pearce &#38; Jon Orr Ollie Lovell Catriona Shearer Colin Foster Erick Lee Annie Fetter Jay Chow Chris Smith Ed Southall &#38; Vincent Pantaloni Jo Boaler Ben Orlin Fawn Nguyen David Butler Karen Campe Mary Bourassa Brian Bushart Nat Banting Robert Kaplinsky Chris Luzniak John Stevens Andrew Blair Dan Meyer Nanette Johnson, Robert Kaplinsky, Bryan Anderson, Dan Luevanos &#38; Zack Miller

<a href="https://saravanderwerf.com/2017/08/09/stand-talks-the-best-thing-i-ever-did-to-get-students-talking-to-one-another/">Stand and Talks</a> <a href="https://mathforlove.com/">Math 4 Love</a> <a href="http://www.estimation180.com/">Estimation 180</a> <a href="https://donsteward.blogspot.com/">Median</a> <a href="http://makemathmoments.com/lesson1">Make Math Moments that Matter</a> <a href="http://www.ollielovell.com/podcast/">ERRR Podcast</a> <a href="https://drive.google.com/file/d/1hVP8tLURVDphmHsphz5BQLVzHCeTts29/view">Geometric puzzles</a> <a href="http://www.mathematicaletudes.com/">Mathematical Etudes</a> <a href="https://nsmathematics.weebly.com/">Mathematics Activities &#38; Resources</a> <a href="https://annie.mathematicalthinking.org/index.php/2018/04/26/my-nctm-2018-session/">Notice and Wonder</a> <a href="http://www.mrchowmath.com/activitybuilder.html">Desmos tasks</a> <a href="https://twitter.com/aap03102/status/926796636101234688?lang=en">Maths Newsletter</a> <a href="https://www.instagram.com/solvemymaths/">Geometry Snacks</a> <a href="https://www.youcubed.org/">Youcubed</a> <a href="https://mathwithbaddrawings.com/">Math with bad drawings</a> <a href="http://www.visualpatterns.org/">Visual Patterns</a> <a href="https://blogs.adelaide.edu.au/maths-learning/category/one-hundred-factorial/">One Hundred Factorial probems</a> <a href="https://karendcampe.wordpress.com/category/technology/ti-84family/">Anything TI calculators</a> <a href="http://wodb.ca/">Which One Doesn&#8217;t Belong</a> <a href="https://bstockus.wordpress.com/numberless-word-problems/">Numberless Word Problems</a> <a href="http://fractiontalks.com/">Fraction Talks</a> <a href="https://robertkaplinsky.com/tool-to-distinguish-between-depth-of-knowledge-levels/">Depth of Knowledge Matrix</a> <a href="https://www.luzniak.com/debate-math.html">Debate Math</a> <a href="http://www.wyrmath.com/">Would You Rather Math</a> <a href="http://www.inquirymaths.org/">Inquiry Maths</a> <a href="http://www.101qs.com/">101qs</a> &#38; <a href="http://blog.mrmeyer.com/2011/the-three-acts-of-a-mathematical-story/">3-Act Math</a> <a href="http://www.openmiddle.com/">Open Middle</a>

<a href="http://wodb.ca/images/wodb-5.jpg">WODB? Lines</a>

<a href="https://teacher.desmos.com/polygraph-lines">Polygraph: Lines</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5755ed8c0d942e9b07b65b98">Polygraph: Part 2</a> <a href="https://teacher.desmos.com/activitybuilder/custom/5b11a0c8cc6e605a226fe41d">Two Truths and a Lie</a>

<a href="http://reasonandwonder.com/visual-patterns-desmos-amazing/">Visual Patterns</a>

<a href="https://docs.google.com/document/d/1xMjDkvlktaTwVuEYeM6G2YGT7tcWInqFfAbHrYW5isI/edit?usp=sharing">Barbie Bungee</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/57f3dd9dcf3c849008d81007">Point on the Line</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/582b81f4bf3030840aacf265">Land the Plane</a> <a href="https://mrrowe.com/openmiddle/#jp-carousel-2183">Open Middle: Slope</a>

<a href="https://drive.google.com/open?id=1CEdndNFMDxZ1EZ7h15yqzmVD3xACM9gv">Cup Stacking</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/566b31734e38e1e21a10aac8">Marbleslides: Lines</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/59a8ae858577e24da463136e">Linear Lasers</a>

<a href="https://drive.google.com/open?id=1OlYC6qNiYZ4Jnf_DL1terVU91OiGCHfL">Basketball Shots</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5785081e72fcab925a4ef95f">Card Sort: Linear</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5bcdf906c1d7660b58d8b866">Coin Capture</a> <a href="https://teacher.desmos.com/activitybuilder/custom/56250ce61215b57e1088b8e2">Putt Putt Golf</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/56d139907e51c4ed1014b51f">Racing Dots</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5605bb5f00701ed10fb09314">Match My Line</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/56d74abe3df0d04006f0cb97">Wafers and Creme</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5807d7306ef115e7053a142a">Systems of Two Linear Equations</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/561d6a790784861e06c3a6dc">Gym Membership</a>

<a href="http://solveme.edc.org/mobiles/">SolveMe Mobiles</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/564a325345d9115d06270607">Solutions to Systems of Linear Equations</a>

<a href="https://mrrowe.com/2018/06/20/the-power-of-open-middle-problems/">OM: Three equations</a> <a href="https://pbs.twimg.com/media/DtEHk0dU4AAmt43.jpg:large">Lines Counterlogic</a>

<a href="http://www.foster77.co.uk/Foster,%20Teach%20Secondary,%20The%20simple%20life.pdf">Simple Life</a> <a href="http://www.foster77.co.uk/Foster,%20Mathematics%20Teacher,%20Expression%20Polygons.pdf">Expression Polygons</a>

<a href="https://teacher.desmos.com/centralpark">Central Park</a> <a href="https://teacher.desmos.com/activitybuilder/custom/57e04d6fc8c899190bdbb450">Picture Perfect</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5798d64583de446662ea8ddd">Card Sort: Linear Systems</a>

As you would have noticed, most of the tasks in the example sequences are made by people far more clever and creative than me. These people have been highly influential on my own practice and the learning experience of my students. Additionally, these people have been kind enough to allow me to include their resources in this e-book for you to consider using for your classes.

Amie Albrecht Andrew Stadel Bryan Anderson Colin Foster Craig Barton Dan Finkel Dan Meyer Dan Walker Dane Ehlert Derek Abbott Desmos Eddie Woo Erick Lee Fawn Nguyen Henri Picciotto James Tanton Jan Lichtenberger Jason Loke Jay Chow Jo Morgan Jon Orr

Kalid Azad Kaye Stacey Kyle Pearce Leonardo Barichello Leone Burton Mary Bourassa Mathigon Matt Kennedy Megan Zimmermann Nathan Robinson NRICH Numberphile P. Parkin Peter Drysdale Peter Mason Sarah Carter Shaun Errichiello Shelley Carranza TED Ed William Emeny

Ever watched another teacher introduce a topic in a completely different way to how you've always understood it? I've collated a few of my favourite explanations of topics that completely changed the way I think about the topic they introduce.

<a href="https://www.youtube.com/watch?v=uewvM3yqjTo">What is a logarithm? A no fuss start!</a> - James Tanton <a href="https://twitter.com/jamestanton">@jamestanton</a> A completely intuitive approach to teaching a topic that so many students leave blank on their topic test. If you're picking up what James is putting down, I'd also recommend you check out his incredible website, <a href="http://gdaymath.com/">G'day Math</a>.

<a href="https://blog.mathed.page/2019/01/08/teaching-trig/">Teaching Trig</a> - Henri Picciotto <a href="https://twitter.com/hpicciotto">@hpicciotto</a> Have a read of how Henri introduces Trigonometry, then enjoy his incredible blog and resources. Henri co-authored an <a href="https://www.mathed.page/attc/attc.html">entire textbook</a> which is organised by broad ideas instead of traditional topics (e.g. Working Backwards, Making Comparisons, and Growth and Change).

<a href="https://betterexplained.com/articles/understanding-the-birthday-paradox/">Birthday Paradox</a> (and others!) - Kalid Azad <a href="https://twitter.com/betterexplained">@betterexplained</a> A very well known website for any teacher who has googled "How the hell do I teach...". Kalid goes through somewhat unconventional explanations of mathematical concepts. I particularly like his explanation of the Birthday Paradox and the simulator he's included on his page.

There are some teachers out there that make you think, "how on Earth do you have time to do all of that??" Some might record and share all of their flipped classroom resources, some catalogue every activity they've created and used with their classes as links on their blog, while others seem to just spend their lives making teachers' lives easier by making things we'd never think of doing for us to use right-away in our classroom, free of charge. I've come to realise that there are far more teachers than you'd expect, these two were simply too hard to fit in one specific category:

Craig Barton<a href="https://twitter.com/mrbartonmaths">@mrbartonmaths</a> Most teachers who have used the internet to troll through websites for resources would have either knowingly or unknowingly used one of Craig's resources. Now the <a href="https://www.tes.com/teaching-resources">TES</a> maths advisor, Craig's status in the Maths Teaching community has skyrocketed to new heights upon the release of his podcast show, <a href="http://www.mrbartonmaths.com/podcast/">The Mr Barton Maths Podcast</a>, and his book, <a href="https://medium.com/eedi/how-i-wish-id-taught-maths-8ec9b0578228">How I Wish I'd Taught Maths</a>. I came to become aware of Craig when I started using his <a href="http://www.mrbartonmaths.com/teachers/rich-tasks/tarsia-jigsaw.html">Tarsia puzzles</a>, but he is now probably more proud of his website dedicated to <a href="https://diagnosticquestions.com/">Diagnostic Questions</a>.

Sarah Carter<a href="https://twitter.com/mathequalslove">@mathequalslove</a> I personally believe that Sarah is unmatched in the amount of work she puts into her classes and subsequently shares with the #MTBoS and #iTeachMath communities. In a similar way to <a href="https://twitter.com/mathsjem">Jo Morgan</a> (<a href="http://www.resourceaholic.com/">resourceaholic.com</a>), Sarah collates her favourite bits from her Twitter feed and puts out a weekly post summarising the ideas on her <a href="https://mathequalslove.blogspot.com/">blog</a>. As well as this, Sarah organises her website in an easy to browse way, making links accessible to ideas featured on her <a href="https://mathequalslove.blogspot.com/search/label/Monday%20Must%20Reads">Monday Must Reads</a> volume.

hook line sinker

An online resource book for people who teach Mathematics.

Collated by @MrJohnRowe From the amazing #MTBoS and #iTeachMath communities

trigonometry &#38; pythagoras theorem

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

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

They are always symmetrical Learn what these things are: root, vertex, concave, convex They&#8217;re are also called, &#8220;parabolas&#8221; They can be drawn as a square It&#8217;s important to be able to find roots, even if they aren't real When all else fails, use the quadratic formula There are three main forms (standard, vertex, and factored/root)

Shapes of quadratics Symmetry Roots Vertex Concave Convex

Area Model Vertex, Root and Standards form Transforming Quadratics Factorising Expanding Quadratic Formula Completing the Square

Sum of Arithmetic sequences The discriminant Imaginary numbers Conic sections

<a href="https://drive.google.com/open?id=1WpN3XXZ-xAomXi9PUK7HdKdIEYxX65AX">Heads and Tails</a>

<a href="https://drive.google.com/file/d/1CgZLncDdXfAqjVHx6kNNBwnpx6YjwgIW/view?usp=sharing">10 heads in a row</a>

<a href="https://drive.google.com/file/d/1ZqW9-qHV4fsWMAplcIUZpRF34yY5y_Z8/view?usp=sharing">Counterintuitive Coins</a>

<a href="https://drive.google.com/open?id=1yfpLkdFREAOOlBlm9c4BeL7sJStlqSes8sa5pcvUy6M">Fraction Talk</a>

<a href="https://mrrowe.com/openmiddle/#jp-carousel-2124">OM: Equal Fractions</a>

<a href="https://mrrowe.com/openmiddle/#jp-carousel-2125">OM: Greater Fractions</a>

<a href="https://drive.google.com/open?id=0B02fB3ktIOvYV293bEJfVXNtRnM">Egg Roulette (Bradley Cooper)</a>

<a href="https://mrrowe.com/openmiddle/#jp-carousel-2123">Open Middle: 0 to 1</a>

<a href="https://mrrowe.com/openmiddle/#jp-carousel-2129">OM: Probability Scale</a>

<a href="https://www.youtube.com/watch?v=cqDG7q508iM">Egg Roulette (Ryan Reynolds)</a>

<a href="https://drive.google.com/open?id=1--L0b1bRSt5kkzLBn8TU1JZOWUHI7AbQ">Egg Roulette Exit Card</a>

<a href="https://mathforlove.com/2018/10/wizard-standoff-game-lesson-plan/">Wizard Standoff</a>

<a href="https://mrrowe.com/2018/05/20/egg-russian-roulette/">Egg Roulette (Anna Kendrick)</a>

<a href="https://ed.ted.com/lessons/the-last-banana-a-thought-experiment-in-probability-leonardo-barichello">The Last Banana</a>

<a href="https://twitter.com/MrJohnRowe/status/1002008018182012928">Millionaire Hotseat</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/59233c9aefd17610dbbd684e">Chance Experiments</a>

<a href="http://www.openmiddle.com/probability-with-spinners/">Open Middle: Spinners</a>

<a href="https://ed.ted.com/lessons/can-you-solve-the-frog-riddle-derek-abbott">Frog Riddle</a>

<a href="https://mathigon.org/course/probability/monty-hall">Monty Hall problem</a>

<a href="https://betterexplained.com/articles/understanding-the-birthday-paradox/">The Birthday Paradox</a>

<a href="https://ssddproblems.com/the-prize/">SSDD: The prize!</a>

<a href="https://youtu.be/X32dce7_D48">Why is 0!=1?</a> - Eddie Woo <a href="https://twitter.com/misterwootube">@MisterWooTube</a> I don't know what I like more, Eddie's explanations or the sound of his students' aha moments. This video is his most viewed with over 3 million views on his YouTube channel, <a href="https://www.youtube.com/user/misterwootube/featured">WooTube</a>. He was voted Australian Local Hero of the Year because of his YouTube channel - go check out his classroom!

<a href="https://www.youtube.com/watch?v=BRRolKTlF6Q">Problems with Zero</a> - Numberphile <a href="https://twitter.com/numberphile">@numberphile</a> The team at Numberphile put together a video every week addressing a key mathematical idea. The video I've linked to above explains different problems with the number zero, so that next time you get a hairy question from a student, you're equipped with the know-how to answer it in a mathematically rich way!

<a href="https://ed.ted.com/lessons/the-infinite-hotel-paradox-jeff-dekofsky">The Infinite Hotel Paradox (Jeff Dekofsky)</a> - TEDEd <a href="https://twitter.com/TED_ED">@TED_ED</a> This video looks at an incredibly interesting explanation of the concept of countable infinity. As well as the great animations of mathematical concepts, the team at TEDEd put together various riddles, working with mathematicians like Dan Finkel (creator of Prime Climb), which are just a joy to watch and solve.

<a href="https://mathigon.org/course/graphs-and-networks/bridges-of-koenigsberg">Bridges of Koenigsberg</a> - Mathigon <a href="https://twitter.com/MathigonOrg">@MathigonOrg</a> Quite a classic problem and a fascinating story (also check out the <a href="https://ed.ted.com/lessons/how-the-konigsberg-bridge-problem-changed-mathematics-dan-van-der-vieren">TEDEd video</a> on this same problem), Mathigon has interactive bridges to try and solve, which I've also printed out when I haven't had access to devices. If you're not ready to fully give up the textbook, have a wander through the Mathigon, they've done a great job at doing justice to what most people skip in a traditional textbook.

<a href="http://blog.mrmeyer.com/2016/updated-will-it-hit-the-hoop/">Will it hit the hoop? Desmos Classroom Activity</a>

<a href="http://wodb.ca/images/wodb-6.jpg">WODB Quadratics</a>

<a href="https://teacher.desmos.com/polygraph-parabolas">Polygraph: Parabolas</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/574f12421390db611564fa32">Polygraph Part 2</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5605bb6200701ed10fb0931a">Parabola Matching</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/57eaf9e854f53c220f17bf6e">Connect The Dots</a>

<a href="https://teacher.desmos.com/polygraph/custom/560ad6917701c30306330619">Polygraph: Understanding (h,k)</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5626c928f747b47b0d05421a">Quadratic Transformations Pt. 2</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/566b31784e38e1e21a10aade">Marbleslides: Parabolas</a> <a href="https://teacher.desmos.com/activitybuilder/custom/5af5cd5af2d2d74d909c9174">Air Strike</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/59f0a9b39ee48105ae6b7928">Two Truths and a Lie</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/59aca5dd22025a31cd3afd67">Quirky Quadratics</a> <a href="https://teacher.desmos.com/activitybuilder/custom/598b969fb9a72728e67f7b47">Where's my quadratic?</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/579bda013037419e171c207e">Card Sort: Parabolas</a> <a href="https://mrrowe.com/openmiddle/#jp-carousel-1538">Open Middle: 3 forms</a> <a href="https://teacher.desmos.com/activitybuilder/custom/580ab469f249fd03067d331f">Parabola Slalom</a>

<a href="http://www.foster77.co.uk/Foster,%20Teach%20Secondary,%20Connected%20Quadratics.pdf">Connected Quadratics</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/561d9783e18f3a1906f3ce75">Roots of Quadratics: Special cases</a>

<a href="https://www.tes.com/teaching-resource/quadratic-areas-puzzle-11689598">Area Maze Quadratics</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5b9d0f265a78134559321213">Completing the Square</a>

<a href="https://teacher.desmos.com/activitybuilder/custom/5a247cd26fb8e1104a5f097f">Breakout! Quadratics</a>

<a href="http://threeacts.mrmeyer.com/frysbank/">Fry's Bank Account</a> <a href="https://tapintoteenminds.com/3act-math/penny-a-day/">Would You Rather?</a>

<a href="https://mrrowe.com/2016/03/05/using-problem-based-learning-in-maths-again/">License Plates</a>

<a href="https://whenwillineedthis.files.wordpress.com/2016/05/wodb-indices.png?w=294&#38;h=300">WODB? Powers of 4</a> <a href="http://www.openmiddle.com/properties-of-integer-exponents/">OM: Powers of 7</a>

<a href="https://whenwillineedthis.files.wordpress.com/2016/05/wodb-indices-2.png?w=294&#38;h=300">WODB? Powers of 3</a> <a href="https://whenwillineedthis.files.wordpress.com/2016/07/wodb-logs-2.png?w=295&#38;h=300">WODB/OM Power of 3</a>

<a href="http://blog.mrmeyer.com/2015/if-exponent-rules-are-aspirin-then-how-do-you-create-the-headache/">Dan Meyer Exponents</a> <a href="http://www.openmiddle.com/laws-of-exponents/">Open Middle 1 to 20</a>

<a href="https://mrrowe.com/openmiddle/#jp-carousel-2074">Open Middle: Index Laws</a>

<a href="https://drive.google.com/open?id=1Rt593dbdR6LtAEZxB_ypRVBySrJUTpur">Tarsia Index Laws</a>

<a href="https://mrrowe.com/openmiddle/#jp-carousel-2076">What number am I?</a>

<a href="https://mrrowe.com/openmiddle/#jp-carousel-1912">Number sort</a>

<a href="https://drive.google.com/open?id=1L2JZREREzON5vNkyk54fDWbG5_6DivAj">Sometimes, Always, Never True</a>

<a href="https://mrrowe.com/openmiddle/#jp-carousel-2078">Open Middle grid</a>

<a href="https://drive.google.com/open?id=1vIwHAf-zaGrN9fwfX2bLIWl3PJEhoqxg">Tarsia Powers of 3</a>

<a href="https://drive.google.com/open?id=1JMFftCH7an7_8O0SBn2p1pfR5Gjrzyf7dL11lGrVVZU">What Mistake Caused the Answer?</a>

<a href="https://drive.google.com/open?id=1aFxTHIHlAUi69FYVKTy36tZxVrmEN0kmpu2D6UpRvRo">Bathroom surds</a>

<a href="https://drive.google.com/open?id=1bArPVat5Jt6KmWFZhKi-F0n1ToUNV7-e">Rooted</a>

<a href="https://3.bp.blogspot.com/-EEkVxFjr8A4/XCDZNmtqPZI/AAAAAAAAOrQ/eLZGDEWjmd0eQRtiVuR9PdiGsfdvnaVfwCLcBGAs/s1600/Surds%2Bresource.png">Surds Bricks</a>

<a href="https://3.bp.blogspot.com/-oDMgqSuuE5Y/XEyxYw1jxaI/AAAAAAAAO3E/D0arzG_1jN4FPwvo4CLdijXdLtJhf0UqgCLcBGAs/s1600/Surds%2Bmultiplication.jpg">Multiplication Madness</a>

<a href="https://drive.google.com/open?id=12NTcHWemNb2crkk9v4MITBPYMIeDKJCp">Zombie Apocalypse</a>

This book is 100% free and always will be. The easiest way to share this e-book with others is to send them this link: <a href="http://www.mrrowe.com/book">www.mrrowe.com/book</a>. Alternatively, you can download the book as a .EPUB file and send it to them, or download it from Apple Books for free. If you notice any errors of have issues using or sharing this e-book, please email contact@mrrowe.com. A repository of all the links can be found <a href="https://docs.google.com/spreadsheets/d/17R1iU3df-_vBxBo7dIYEHcqcpc2CrSqakPKWiJ5srBs/edit?usp=sharing">here</a>, where you can find the status and, if necessary, an updated URL for that resource. All of the resources linked and referenced in this e-book are the intellectually property of the person(s) responsible for its creation. Please ensure that, where necessary, these person(s) are credited for their work and, better still, you let them know if you enjoyed their stuff! I'd personally like to know if you found this a useful resource for your own teaching purposes, so as well as any errors, please don't hesitate to email me about your experience to contact@mrrowe.com. The best (and most cool) way to share this out is definitely through a <a href="https://ctt.ac/ecD8B">Twitter post</a>. You can find me at <a href="https://twitter.com/MrJohnRowe">@MrJohnRowe</a>.

Powers, exponents, and indices are all the same thing Index notation is just shorthand for things multiplied by itself Things don&#8217;t change when they&#8217;re simplified - equals means equals It&#8217;s literally all about the base Learn why a rule works before you use it Anything (except zero) to the power of zero is equal to one Roots are unit fraction powers

Exponent Index Power Base Factor Squared Cubed

Repeating factors Squares and cubes Multiple representations Index Laws Surds Roots Fractional exponents Expanding and simplifying

Compound Interest Exponential Growth and Decay Combinations and Permutations

Similar to various teaching and learning frameworks, the Hook-Line-Sinker approach requires teachers to ask themselves: &#8226; Why would students want to learn this? &#8226; How might I teach students and help them learn more? &#8226; 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 model mapped to the <a href="https://www.primaryconnections.org.au/5es-teaching-and-learning-model">5E's Teaching and Learning Model</a>

The Hook-Line-Sinker approach is dependent on students understanding what it is that they're presented with. That is not to say that students should only be working on what is familiar to them, rather they are to be pushing their understanding to extend what they know to what they do not yet know. I personally aim to connect each new thing to something they have already learnt. For example, my introduction to the Unit Circle is to construct it solely from Pythagoras Theorem. My introduction to Pythagoras Theorem is to construct it from what they know about the perimeter and area of squares. I try to do as little "telling" as possible and aim for situations where students have to develop their knowledge to solve a new type of problem.

foster a culture of mathematical thinking

Culture is not something that can be easily created, but it certainly is hard to lose once you do have it. Fostering a culture of mathematical thinking, I believe is the beating heart of the best mathematics classrooms. This can be done in many ways, but as a starting point there are two main places I'd direct you to: 1. Jo Boaler's <a href="http://www.youcubed.org/wp-content/uploads/Positive-Classroom-Norms2.pdf">Positive Norms for Math Class</a> 2. <a href="https://www.amazon.com/Thinking-Mathematically-2nd-J-Mason/dp/0273728911">Thinking Mathematically</a> (John Mason, Leone Burton &#38; Kaye Stacey)

It is the ways of thinking that are rich, not the task itself. John Mason

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: &#8226; <a href="https://www.khanacademy.org/resources/k-12-teachers-1/math-teachers/a/math-missions-overview-and-faq">Khan Academy Missions</a> &#8226; <a href="https://diagnosticquestions.com/">Diagnostic Questions</a> &#8226; <a href="http://www.estimation180.com/">Estimation 180</a>

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.

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