# Geometry and Measure

Follow Get every new post delivered to your Inbox. Join 4,560 other followers Build a website with WordPress.com %d bloggers like this: MathArguments180.com: 446: Always, Sometimes, Never - Geometry. MathArguments180.com: 481: Two Circles and One Square. MathArguments180.com: 484: Tempus Fugit. Tile Pile by Desmos. This lesson helps students count large numbers of things by using the mathematical structures of area and proportionality. Students use a ratio table to keep track of their work as they count the number of tiles required to cover a floor, and the time required to put those tiles in place. How the activity works: 1. Tile Each student tiles a square and learns the time it took them to complete the tiling. 2.

Students estimate the total number of tiles and the total time required to tile a large area. 3. Using ratio tables, students compute these values. 4. Students are given ratio tables to analyze and correct. You can set the stage for this lesson by telling students that the goal is to look for relationships between quantities in this lesson. After estimating the number of tiles and the time required to tile a large floor, students use two unit rates to compute exact values—the number of tiles per square, and the number of seconds required to tile one square. Keep an eye on student progress. Resourceaholic: New GCSE: Tangents and Areas. At first glance it appears that calculus features in the new GCSE specification. On closer inspection it turns out that our students will find the gradient of a curve by drawing a suitable tangent rather than by differentiating. And instead of integrating, students will use the trapezium rule (or similar) to find the area under a curve.

So calculus remains reserved for Key Stage 5, but our students will now be better prepared for calculus when they first meet it. GCSE will have given them a conceptual understanding of rate of change and an ability to interpret this contextually. This post talks you through this new GCSE topic - it tells you what you need to teach and provides links to resources. Specification and Exam Questions Here's the relevant extracts from the new GCSE specification: This all becomes clearer when we look at example exam questions. AQA helpfully provides additional clarification about the specification in their teacher guide. Motion Graphs Instantaneous Rate of Change. Loci (TLP) | Solve My Maths. An unusual shape (NRICH) 2. Mr Barton Maths (Collation of Resources) 3. Resourceaholic (Collation of Resources) 4. Like this: Like Loading... Can you solve it? Are you smarter than a Japanese schoolchild? | Science | The Guardian.

Hello Guzzlers. It is with huge pleasure that I introduce today’s puzzle, which is already a big deal in Japan. It’s called Menseki Meiro, or Area Maze, and I hope you find it as brilliant as I do. Area Maze is the creation of Naoki Inaba, one of the world’s most prolific inventors of logic puzzles. He came up with Area Maze after being asked to come up with a puzzle by the head of a crammer school in Japan. The puzzle is utterly simple to explain: find the missing value, which is denoted by a question mark highlighted in grey.

The only mathematics you need to know is that the area of a rectangle is the length multiplied by the width. Here’s what makes the puzzle genius: You are NOT allowed to use fractions in the solutions. Now you’ve got the hang of it, try these four. Naoki Inaba has been devising puzzles since he was a teenager. I asked him about Area Maze. In fact, it is so popular in Japan that now Area Maze problem books are published. Plans and Elevations (TLP) | Solve My Maths. Charge! | Reason and Wonder. Present your students with a linear modeling challenge in a familiar context: Challenges When will the phone be fully charged? Setting One evening, with my phone battery nearly depleted, I plugged in and took a series of screenshots to track the percent battery charge (as a function of time).

I limited my use of the phone to screenshots and nothing else during my data collection. Lesson Notes Display the following image: Ask students to write down what they notice and what they wonder. There may be some other interesting questions to ask, but I’m unapologetically driving toward the “how long until fully charged” question here. With the question established, ask students to write down a too low, too high, and just right (or “Goldilocks”) guess. With a guess written down on their paper, I find students are anywhere from slightly to dramatically more invested in the problem (and the pursuit of an answer). If using Desmos, students have quite a few options: Now for the big reveal: And… Extensions. Geometric squares | Great Maths Teaching Ideas.

Angle Facts: New Secondary Maths Curriculum Collection 14 - Mr Barton Maths Blog. Each fortnight, I will put together a selection of resources designed to help cover the objectives of the new 2014 maths curriculum for secondary schools (Key Stage 3). These are all freely available from the TES website. You can find the full collection here I hope you find them useful Pupils should be taught to: apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles Missing angles Catchphrase activity A Catchphrase-style activity based on missing angles around a point and on a straight line.

Missing-angle treasure-hunt game A treasure-hunt activity that requires pupils to match questions with answers. Collective memory activity on angles facts, encouraging team work and communication to try and remember as much information from a poster displayed on the board.Missing angles Top Trumps A Top Trumps card game based on number facts. Understand and use the relationship between parallel lines and alternate and corresponding angles. Concentric Circle Problem | Solve My Maths. Maths ROTW 79 - Lesson: Real Life Graphs by Dominic Penney - Mathematics teaching - TES Mathematics - TES Community. For the next few weeks, the ROTW will be looking at examples of complete lessons on TES. I find resources like this fascinating, as they give you a real insight into a teacher’s thinking, far more than you would get from a PowerPoint or a worksheet alone.

The advice I give to all trainee teachers and NQTs that I work with is to take lessons like this, study them, and then adapt them to suit their own teaching style and the needs of their students. As ever, I am eternally indebted to teachers for sharing their resources on TES, but a special thank you to those who upload complete lessons like this. They are so useful n sharing good practice, and have a huge and positive impact on teaching and learning around the world. What is it? A complete lesson on Real Life Graphs kindly uploaded and shared by Pixi_17 What are the key features? Clear learning objectives Well-structured PowerPoint Wide variety of activities, including Graphing Stories from the US Topic specific exam questions Craig Barton.

MathArguments180.com: 479: Dihedral Angle. Pythagoras lesson | There are 10 kinds of people in the world... Just had to share about a lovely Pythagoras lesson I just had with a bright Year 8 group. Thanks to the amazing Jo Morgan (@mathsjem) I found some great resources through her resourceaholic blog – specifically these Pythagoras problems from The Chalk Face and Spiderbox and this problem from Illustrative Mathematics.

I cut the problems up and put one on each pair of desks. The girls were allowed to work in pairs and simply had to present me with as many correct answers as they could in one hour. They had 3 ‘hint’ tokens that they could trade in for help at any point. I was really pleased with how they worked, one pair even manged five correct solutions in the time allowed. What was great was how persistent they were about going back and trying again and again if they got it wrong – something they would never do under usual circumstances! My group have only just learnt Pythagoras’ Theorem, but this is something you could bring out for revision with older classes as well.

Like this: Forming and Solving Quadratics (TLP) | Solve My Maths. Below: Don Steward Resources Forming Quadratics (Shell) About these ads Like this: Like Loading... Handy Trig Ratios | Mike Ollerton. The Taco Cart. By Dan Meyer prologue 8.G.7 F-IF.4 MP.4 download act one 1. Who will reach the taco cart first? 2. Write a guess. Act two 3. Act three video — the answer sequel 4. Lesson content CC BY-NC 3.0 Dan Meyer Map content by Google Maps.

MathArguments180.com: 425: Filling Bottles. MathArguments180.com: 413: Red and Blue Rubik. Cube Slice. Neptune. By Dan Meyer prologue 6.RP.3 MP.4 download act one 1. Where is Earth? How big is it? Act two 3. Act three Lesson content CC BY-NC 3.0 Dan Meyer. Trigonomnomnometry | Maths is Not a Spectator Sport. We got to do some trig over the last two weeks. We’re in the thick of equations now! Yay! But I kicked things off with silly pictures (yay) and some triangles (dull). And then we got to hit up some radians. So I stole from Kate Novak. I wanted to set the room up as a mini lab, so I got all the kit together in folders: and had the room set up ready when they arrived: with some (un)friendly instructions on the board: The kids had a blast doing the task and some of them got to the answer on their own – and a few repeated the experiment a bunch of times trying to get as close as possible to the pi radii length of string.

After we got the definition of a radian (which I keep banging on about) sorted we moved onto some conversions and I got them to make up trig wheels, which a lot of them liked, and that was pretty much it for an intro to radians. We’ve pushed on to trig graphs now, having cruised through some sectors – assessed handily by a little exit slip I put together: Like this: Like Loading... Labelling a Circle | Solve My Maths. Too often is the labelling of a circle limited to this: I suspect this plays a part in students struggling to solve geometry problems further down the line.

They expect lines in circles to follow this format. So I made a new activity to work alongside the above picture: File is here : Radius Diameter Like this: Like Loading... - Saying Goodbye - JustMaths. Saying Goodbye Twelve months ago, it was me walking away from a school that had been a massive part of my life and today I was reminded of what it is like, to be the one watching someone else doing the walking away.

Today Will left us. This is a young man (he’s younger than me anyway!) Who started out in teaching only a couple of years ago teaching Physics. So Will, I know you read the blog (even though I get embarrassed when you mention it … I was listening .. honest!) I know you will go onto to do amazing things and your new school are extremely lucky to have you. Anyway … sentimentality over! You know how I’ve been saying all the exam board formula posters for the new GCSE are boring (remember students won’t have formula pages in the exam and have to recall so much more info?)

All we need Will if you’re still reading is for you to GET ON TWITTER!! PS: Will, try to keep your new room flipping tidy! AQA 90 problems to solve- perfect for 9-1 Maths GCSE | Great Maths Teaching Ideas. Concentric Circles Area Puzzle | cavmaths. Five Triangles: 254. Even seven. New secondary mathematics curriculum: Angle facts - Mathematics teaching - TES Mathematics - TES Community. Properties of Shapes and Transformations: New Secondary Maths Curriculum Collection 13 - Mr Barton Maths Blog.

8-Bit Mario Negative Enlargements | Solve My Maths. New secondary mathematics curriculum: Perimeter and area - Mathematics teaching - TES Mathematics - TES Community. New secondary mathematics curriculum: Proportion and compound measures - Mathematics teaching - TES Mathematics - TES Community. New secondary mathematics curriculum: Properties of shapes and transformations - Mathematics teaching - TES Mathematics - TES Community. MEDIAN Don Steward secondary maths teaching: rectangle dissection. MEDIAN Don Steward secondary maths teaching: hollow cube.

MEDIAN Don Steward secondary maths teaching: sheds. Miss Brookes Maths | Scale Drawings. Isometric Drawing by TeacherLED. Tessellation (TLP) | Solve My Maths. Angles (TLP) | Solve My Maths. Perimeter by TeacherLED. Angle Measurer by TeacherLED. Perimeter and Area: New Secondary Maths Curriculum Collection 11 - Mr Barton Maths Blog. Areas of Sectors (TLP) | Solve My Maths. Laughing Cow Circle Area | Solve My Maths. MathArguments180.com: 428: Surface area of that cube again. Area by TeacherLED. Drawing and Measuring: New Secondary Maths Curriculum Collection 12 - Mr Barton Maths Blog. Pretty Maths : Photo. How to construct a 50p - TES Maths Resource of the Week 69 - Mr Barton Maths Blog. Euclid: The Game. Symmetry by TeacherLED. 268. Monkeying with Pythagoras | Maths Sandpit. OCR Transition Guide: Pythagoras. Pythagoras or trigonometry? - Matching activity - Trigonometry or Pythagoras? - All KS4 resources - Key Stage 4 - Resources. Trigonometry and pythagoras thinking questions - Resources - TES.

My Introduction to Trigonometry Unit for Geometry | Continuous Everywhere but Differentiable Nowhere. Trigonometry – SOHCAHTOA | Geometry | Key Stage 4 | Resources. MathArguments180.com: 453: Kong Size Cereal Box. MathArguments180.com: 408: Balls. Dandy Candies - 101qs. MathArguments180.com: 409: Pizza. The Slow Forty. Upper and Lower Bounds (TLP) | Solve My Maths. How tall am I? | Solve My Maths. Trig Wheel | Solve My Maths.

Ferris Wheel - 101qs. Nonagon | Solve My Maths. #rorschmap. Inspirograph. Annulus Horribilus. 4 Quadrant Coordinates by TeacherLED. 3-D Coordinates (TLP) | Solve My Maths. sPythagoras | Solve My Maths. Shipping Routes - 101qs. Lucky Cow. MathArguments180.com: 424: Point-point-slope. Rotonda West, FL - 101qs. Spirolaterals - 2D shapes – identifying polygons - All KS4 resources - Key Stage 4 - Resources. Looking for Resources | Mathematics, Learning and Technology. Illuminati. Rotation by TeacherLED. Three Cylinders. Water Line by Desmos. MathArguments180.com: 426: Pouring Water. If you teach trig, you need this post. | Insert Clever Math Pun Here.

Mr Collins Mathematics Blog: Constructions resources using 'Comic Life' MathArguments180.com: 416: What's wrong here? Vectors. Loci Extension. Best Midpoint.