Mathematics fractions - pizza slices

thingiverse

Mathemiatics is the language of the Universe. No doubt. But if is it the truth, fractions are probably something like a cough - at least initially. Later when you catch it - they are easiest a little. Treat these circles as a cure for learning/teaching fractions. At home, at school - everywhere. Age - depending from the country and the pupils knowledge level. You can use it as is - on the table. You can glue magnetic strips backside and use it on white boards. You can glue velcro strips and use it on soft boards Parts: 9 circles 10cm(4") diameter (representing: 1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12) (1/10 and 1/12 are for the expert mode) Recomendations: print it in contrast colours, every fraction in a different colour print whole circle for every fraction for example 8 pieces of 1/8 you can choose thikness 2mm or 3mm(1/8") want bigger? Scale it! Print Settings Printer Brand: RepRap Printer: Prusa i3, Geeetech mini G2S Pro Rafts: No Supports: No Resolution: 0.1 Infill: 70% Notes: But actually resolution and infill are not crucial. I've printed it even on 0.2 and 20% How I Designed This Introduction It was quite tricky. Because I'm using the FreeCAD which hasn't got tool for adding a numbers or text, so it was a chalenge little bit. I would like to design it only in free & open source applications - to show that it is possible! Solution There is very nice and easy for beginners QCAD application which is a free and open source. QCAD works on Windows, Mac OS X and Linux and for the 2D it's perfect! Steps draw the circle in QCAD, check diameter divide the circle into equal segments - pizza slices :) add text, for example 1/8 at only one part delete rest of the circle parts - we need just one export it as svg file and close QCAD open FreeCAD import the shape and expand it into a 3D solid Project: Mathematics fractions Objectives Depending from the age of students and their knowledge, explain what a fraction is explain when we're using fractions in real life - pizza example describe fraction, numerator, denominator, fraction bar, unit fraction, and multiple identify the number of shaded parts and the number of equals parts in a circle shape explain how to write a fraction using mathematical notation and using words explain how to add, divide, substract, change denominators in fractions when you think of a fractions, think of a PIZZA!! Audiences Pupils age - depending from the country and the pupils knowledge level. Mostly for primary school or earlier. Preparation If the teacher explains fractions for the bigger group 1 printed kit is enough, but for the work in smaller groups it will be necessary to print more than 1 kit. Steps Everything using shapes Lesson 1 fraction What is it? How to write a fraction using mathematical notation? How to describe it using words. Using fractions in real life. Lesson 2 comparing fractions Which fraction is bigger? How many pieces are equal to 1. How many of 1/8 are equal to 1/2? Determine if two fractions are equivalent. Lesson 3 definitions Describe fraction, numerator, denominator, fraction bar, unit fraction, multiple, proper fraction, improper fraction, mixed number. Lesson 4 mathematical operations Explain how to add, divide, substract or multiple fractions. Addition - same denominators Substraction - same denominators Division / multiplication Changing denominators Convert a fraction to an equivalent fraction with a specified denominator Results At the end of this project, students should have a fractions knowledge. How to add, divide, substract or to change denominators or just how to split pizza for 8 persons or to 3 :)