#### Pythagoras

A powerpoint to support the teaching of Pythagoras for both long and short sides. Includes objectives, examples and student activities.

#### Where was the free kick taken from? - Photos, football and algebraic fractions

Inspired by a Numberphile video where they use still images to calculate the position of a footballer taking a free kick (https://www.youtube.com/watch?v=ffvojZONF_A) Resource is aimed at GCSE groups (higher) and will need at least an hour. Students are given four photographs and instructions that allow them to calculate where each player was standing when they took the free kick by measuring distances on the photographs and computing cross-ratios. They then have to solve a simple algebraic fraction equation to work out the unknown distance. Included: presentation to help explain the tasks, worksheet with photographs and an additional sheet that scaffolds the process if needed, set of exemplar answers. Students can draw any straight line they like from the ball to the goal so they will have different distances in their cross ratio but should end up with the same final answers. Potentially leads to discussion opportunities about how the cross-ratio changes with the players position and even an introduction to limits as you consider what happens if the player is very close to or very far away from the penalty area. *Presentation edited to include extension tasks incorporating using trig to find the kick angle and problem solving to work out the location of a different player and flight path of a pass followed by a shot **Answers updated to include challenge 1 and 2

#### Pythagoras Quiz

PowerPoint designed to be used with Quizdom remotes, but would work as just PowerPoint quiz. Used with KS3/4 students, depending on their ability. Could be used as plenary or revision.

#### Pythagoras' Theorem differentiated worksheets

Worksheets for students to complete in class. 3 levels of difficulty have been included: Blue: Use Pythagoras’ theorem to find the length of the hypotenuse in a right-angled triangle. Gold: Use Pythagoras’ theorem to find the length of a short side in a right-angled triangle. Red: Use Pythagoras’ theorem to find lengths and perimeters of compound shapes Need a whole lesson on Pythagoras? Check out my resource below: Pythagoras’ Theorem Lesson with all resources (Download, Print and Teach)

#### Pythagoras with Surds

A worksheet looking at using surds with Pythagoras’ Theorem. Aimed at a higher ability class as the later questions can be tricky.

Please rate and review! Time saving resource for busy teachers! You should be able to teach a lesson with hardly any preparation (mainly printing and maybe some cutting!). Students will need to know how to round to significant figures and decimal places in order to access this lesson fully. Fully differentiated objectives: Blue: Use Pythagoras’ theorem to find the length of the hypotenuse in a right-angled triangle. Gold: Use Pythagoras’ theorem to find length of a short side in a right-angled triangle Use Pythagoras’ theorem to find the length of a line segment, given the coordinates of the end-points. Red: Use Pythagoras’ theorem to find lengths and areas of compound shapes This resource includes: • A PowerPoint • A differentiated Work booklet that includes self-assessment sections • 2 sets of dominos on rounding to decimal places and significant figures to use as a starter activity (if you need a more comprehensive set of dominos click here) • Answers The PowerPoint includes the following format (watch the preview video here): • Objective and levels • A starter • A “how to teaching portion” with animated examples • And Afl mini whiteboard quiz • Plenary (with answers) Recommendations: Laminate the dominos for use again The powerpoint and booklet are currently set up for GCSE maths grades, however you can edit the grades to reflect KS3 or your own schools assessment criteria. In the word booklet if you change any grade (e.g the blue section) it should automatically change the rest of that colour into the same grade. This will take up a whole lesson at least. Need more Pythagoras?? Check out my differentiated worksheets here. Great for homework!

#### Pythagoras' theorem

GCSE- A handout related to Pythagoras’ theorem which includes explanations and worked examples.

#### Axes / Chart Generator (Plus all Worksheets)

Axes Generator plus Multiple worksheets

#### Pythagoras Worksheets

Differentiated Pythagoras worksheets

#### Pythagoras and Trigonometry and how to spot the difference!

I created this resources as my foundation group were struggling on knowing when to use either pythagoras or trigonometry. These were both skills they had learnt and could do but couldn’t quite understand when to use which one. This resource helped them understand which method for which scenario. please review :)

#### Introduction to Pythagorus (Investigation !)

These resources will be all you need to introduce pythagorus to a new group. Based on investigating the informattion for themselves, with key hooks to keeps students engaged. Great way to introduce the topic and for the pupils to understand fully why and how it works! Please Review, Thanks :)

#### Pythagoras' theorem test x2

These resources are a sample from a collection of short tests on the application of Pythagoras’ theorem. All the tests are quite short (3/4 questions, so 5-10mins max). I created them so that I was able to test my classes more regularly on topics at different points through the year - each test is similar enough so that classes hopefully improve at the “standard” questions but there is also some variety in the later questions in each test and a progression in difficulty as you go through the tests. In the full set of 18 tests there are 5 tests designed to be done with a calculator, 13 tests to be done without a calculator. The questions include: 1.Finding the longest/shorter side of a right-angled triangle 2.Determining whether a triangle is right-angled 3.Finding the distance between 2 points 4.Using Pythagoras’ theorem in isosceles triangles, rectangles, squares etc 5.Using Pythagoras’ theorem in 3D 6.Using Pythagoras’ theorem where side lengths are given as surds All tests come with fully-worked solutions which makes them easy to mark. This means that the tests could also be used as a revision resource for students. The full set of 18 tests is available here: https://www.tes.com/teaching-resource/pythagoras-theorem-test-x18-11922960

#### Pythagoras' theorem test x18

These resources are a collection of short tests on the application of Pythagoras’ theorem. All the tests are quite short (3/4 questions, so 5-10mins max). I created them so that I was able to test my classes more regularly on topics at different points through the year - each test is similar enough so that classes hopefully improve at the “standard” questions but there is also some variety in the later questions in each test and a progression in difficulty as you go through the tests. There are 5 tests designed to be done with a calculator, 13 tests to be done without a calculator. The questions include: Finding the longest/shorter side of a right-angled triangle Determining whether a triangle is right-angled Finding the distance between 2 points Using Pythagoras’ theorem in isosceles triangles, rectangles, squares etc Using Pythagoras’ theorem in 3D Using Pythagoras’ theorem where side lengths are given as surds All tests come with fully-worked solutions which makes them easy to mark. This means that the tests could also be used as a revision resource for students. A sample of the tests is available for free here: https://www.tes.com/teaching-resource/pythagoras-theorem-test-x2-11923017

#### Triangle area activity

A challenging activity on the theme of triangle area, suitable for year 11 revision. The initial questions require a knowledge of basic triangle area, Pythagoras’ theorem, SOHCAHTOA, the sine rule and 1/2absinC so a good, challenging revision task. The questions have been designed with a ‘minimally diferent’ element, to draw pupils attention to how subtle changes can have significant implications for selecting methods. There are some follow-up questions, that could be used to shift the focus of the activity. I’d love to hear anyone’s suggestions of further questions.

#### Pythagoras

This presentation explains in simple terms how to go about solving Pythagoras Theorem. Great lesson starter to introduce the topic or a helpful revision guide.

#### Multiple choice 20 - The distance between a pair of coordinates

Another little activity for AFL, revision, starter or a plenary. Works well with mini whiteboards and adaptable to voting systems. Can easily be printed off for class use. Aimed at KS3/4 and KS5 multiple choice activity solving problems involving finding the length of a line segment between coordinates. Hope you find it useful Please leave feedback

#### Pythagoras Treasure Map

I did this as a review at the end of a week teaching Pythagoras to a middle set year 10. I got them to split into teams and set it as a challenge to see who could get the correct list of destinations first. the questions are coloured with hypotenuse, then shorter side and finally worded questions. (no 3D). The map has extra symbols on so they can’t just use the triangle letter! As it was a review the activity took around 20 - 30 minutes and kept the students engaged. Answers are (not in any order) House, town, maze,Fish and chips,pond,cave, mountain, fair, dragon, cafe, forest, park and beach

#### Recap for Area and Pythagoras' theorem

Starter activity made for my Foundation GCSE students, may also suit lower level.

#### Pythagoras Extended Real World Problem

This is a resource I created to give pupils the opportunity to use Pythagoras in a real world scenario.

#### Geometry: Basic Trigonometry (TRIG) Exam Questions

These are exam questions on basic trigonometry (trig) testing pupils understanding of SOH CAH TOA. I predominantly use these for either homework or revision. Do view my excellent lesson on trig. https://www.tes.com/teaching-resource/geometry-trigonometry-trig-8-lesson-bundle-11457390 NOTE: Feel free to browse my shop for more excellent free and premium resources, and as always please rate and feedback, thank you.

#### GCSE Calculator Bundle

GCSE Calculator Bundle All answers are included. If bought independently, these 3 resources would cost £9.50, but I am offering them in this bundle for £7.50, a saving of 21%. To view items individually, please go to Maths Shop

#### AQA GCSE (9-1) Foundation/Higher Maths Equations to learn

These are the maths equations students must learn for their GCSE Maths examinations. The equations are explained on ways to apply them on a question.

#### Mathematics 9-1 - Revision Questions - Graphs, Transformations, Ratios, Right-Angles Triangles

Units 9-12 – Graphs, Transformations, Ratios, Right-Angles Triangles - 240 slides of questions for Year 07 Revision

#### Geometry: Circles - Area, Circumference, Arcs & Sectors Exam Questions (with Answers)

These are exam questions on circle, with the main focus being the higher tier. I predominantly use these for either homework or revision. Do view my excellent lesson on circles. https://www.tes.com/teaching-resource/geometry-circles-bundle-area-circumference-arcs-sectors-segments-ideal-for-ks3-4-11503717 NOTE: Feel free to browse my shop for more excellent free and premium resources, and as always please rate and feedback, thank you.

#### GCSE Edexcel Maths Shapes Pythagoras theorem

GCSE Edexcel Maths Shapes Pythagoras theorem

The presentation includes: Lesson objectives Two slides with animations about Pythagoras Theorem Slides with MWBs Activities Climb the ladder - I usually give students about 6 min to climb up the ladder as much as they can. It defines what level they will start from afterwards Differentiated worksheets with answers - first level is Grade 3/4, second level is Grade 4/5 and third level is Grade 5/6. There is a word document with the worksheets but I usually print from the presentation and I only change the printer properties to two pages per one and every two slides will be printed off on one A4 sheet. Enjoy the whole lesson presentation!

#### 10 GCSE Maths CALCULATOR Foundation Homework Revision (9-1) Part 1 -Includes all ANSWERS 2018

Here I have created revision worksheets for my current Foundation Year 11s. I give these out as a weekly homework, and my students have come on leaps and bounds. Them covering these small topics on a weekly basis, allows me to cover the more in depth topics in class. Enjoy. Topics covered: Circles Using a caluclator Compound interest / depreciation Pythagoras Exchange rates Speed distance time Mean from a table Density Trigonometry Standard form Reverse mean Reciprocal Interior and exterior angles of polygons.

#### Regular Polygon Area Problems

This is a problem solving activity/worksheet that tests multiple levels of understanding related to the topic of area of regular polygons. They are high-level problems to test the most able, although a hint/formula sheet is included to help “differentiate down”. Also included is a differentiated/scaffolded sheet to help break the questions down, too for lower ability. Overall use of surds, Pythagoras Theorem and area formula for polygons are tested. Answers are provided in both surd format and to 2 decimals places.

#### Mixed Calculator Questions GCSE Higher

Mixed Calculator Questions GCSE Higher This pack includes two 10 question diagnostic tests covering 20 different topics for the calculator paper. The tests are made up of difficult questions and are aimed at GCSE 9-1 Higher Levels 7, 8 and 9 pupils, but may also be useful for Year 10. Full answer keys are included for both tests and can be used for pupils to self-mark. A checklist is included for pupils to see where they need to focus their revision. Encourage pupils to fill in the checklist and complete further questions on the topics they need to work on. The topics included are: Iteration Sine Rule Quadratic Formula 3D Pythagoras Trigonometry in Right-Angled Triangles Spheres Area of Segment Volume of Cylinder (Hard) Polygon Angles &amp; Trigonometry Upper &amp; Lower Bounds with Speed Reverse Mean of a Grouped Frequency Table Proportion (Hard) Density with Ratio Volume of Pyramid Reverse Percentage (Hard) Exchange Rates &amp; Unit Conversions Cosine Rule Simultaneous Equations with an Exponential Graph Inverse Functions Volume with Rates of Change The tests should be done with a calculator. The document is 9 pages in total. This resource can be printed in black and white or colour. For my other resources, please go to Maths Shop Keywords: review, mixed questions, diagnostic test, worksheet, calculator, senior high, junior high, middle school, homework, key stage 3, KS3, secondary, new GCSE 9-1, level 6, level 7, level 8, level 9, higher, UK, mathematics, maths revision, math review.

#### Pythagoras Theorem

6 Worksheets on Pythagoras from the basic introduction to problems including pythagoras in 3D Pythagoras1 is 10 questions on calculating the length of the hypotenuse. **Pythagoras2 **is 10 questions on finding a shorter side. **Pythagoras3 ** is a mixture where the student will need to decide whether the unknown is the hypotenuse or not. Pythagoras4 is for more able students and involves two triangles where the theorem will need to be applied twice. Pythagoras5 Consists of applications of Pythagoras and worded questions. Pythagoras6 is five questions involving 3D applications of Pythagoras Pythagorasans is the answer sheet for all 6 worksheets

#### Fortnite Bearings Fun

If you haven’t heard your students talking about Fortnite then where have you been? 45 million people play the shooter game Fortnite and I can’t stop the kids I teach from talking about it. This activity incorporates lots of different concepts: Ratios/Scales Bearings Speed, distance, time Pythagoras Area problem solving Edit and remove questions as you want. If you print at 100% the scale will be 1.5cm to 250m Otherwise you might have to give it a measure if you print to fit Also: The locations from the bearings are locations required for one of the challenges this season to get them even more engaged. Half my class have taken the work home to finish so they can gain in game rewards

#### 3D Pythagoras Problems

A collection of six questions designed to challenge students when they have ‘mastered’ conventional uses of pythagoras theorem. All questions work as great revision for GCSE, and a nice stretch challenge for KS3 too.

#### Bundle Pythagoras Equations Algebra Maths Worksheets

A great bundle. All answers provided. 100 Questions on Pythagoras Answers Provided 1 1000 questions Equations Single Variable Mathematics KS2 Algebra 2 Teaching Resources 100 worksheets Time Passages KS2 Maths Mathematics 1 Table Drills Mathematics Multiplication

#### Trig-Sta 18 - two nets based on latest World Cup Telstar, with trig reminders as logos

I was so intrigued by Matt Parker on You Tube (Geometry of Footballs) that I thought I would see if I could model the latest World Cup ball, the Telstar 18 - these are the results. You have a one sheet one piece net and a DeLuxe 6 sheet model. The shoe company’s logo that usually adorns these balls is based on a 30-60-90 RAT and so I thought some revision notes on Pythag and Trig might work. I’ve included some design notes on the shoe company’s logo in the ppt. So far in the Platonic League, cubes ruled until 1970 - when the Telstar a truncated icosahedron held sway until Germany 2006 with a dodecahedron, then South Africa 2010 with an octahedron. But the cubes fought back in Brazil and now Russia. Tetrahedron anyone?

#### GCSE revision: Key facts about...

I have put together a series of revision help sheets for my year 11 students based on key topics that they needed to work on. These are the blank templates for ones that I have created so far. As and when I make some more, I shall add them. Topics covered: Transformations Gradients, parallel and perpendicular lines Trigonometry and Pythagoras’ match up (definitions and exam questions) Interior and exterior angles and angles in parallel lines

#### Elevations and depressions lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL whiteboard Differentiated questions and solutions Elevations and depressions activity Accessible for lower ability and challenge high ability Plenary FUSE Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25

#### Pythagoras & trigonometry revision

I made this resource to use with my Year 11 classes to revise Pythagoras and trigonometry. There are 18 questions on each with answer boxes (jumbled up) on the right side of the sheet enabling students to self-check as they go along (frees the teacher up to support those that are struggling and encourages independence to the others (rather than racing around marking the same question 30 times). I’ve used it with a few classes and it worked well every time. The last six questions on each topic are concealed Pythagoras and trigonometry questions that sometimes appear in the GCSE just to prepare the students. Enjoy!

#### Geometry Skills Color By Number Bundle 3: ...More Skills

With these activities, students will enjoy practicing their geometry skills as they have fun creating beautiful, colorful mandalas! These activities are an excellent choice for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. These engaging activities are especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break! Teachers and students alike enjoy motivating activities, so engage your students today with these fun activities! These 10 activities include: Angles of Polygons Areas of Triangles ad Quadrilaterals Midsegment of a Triangle Parallel Lines and Transversals Properties of Parallelograms Segment Addition Postulate Similar Polygons Similar Right Triangles Solving Right Triangles Special Right Triangles Coloring is a great way to get your students motivated and interested in practicing and reviewing their geometry skills! In addition, these activities are great for emergency sub plans, enrichment, early finishers, skills reinforcement, and extra credit. As an added bonus, the completed worksheets make fabulous classroom decor! With a savings of over 40% if the activities were purchased separately, this bundle is a win-win for everyone! Thanks and enjoy your new product!