Mathematics fractions - pizza slices

thingiverse

Mathematics is the language of the Universe. No doubt. But if it is true, fractions are probably something like a cough - at least initially. Later when you catch it - they become easier. Treat these circles as a cure for learning and teaching fractions. At home, at school - everywhere. Age depends on the country and pupils' knowledge level. You can use them as is - on the table. You can glue magnetic strips to the backside and use them on whiteboards. You can glue velcro strips and use them 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) Recomendations: Print in contrasting colors. Each fraction should be a different color. Print the whole circle for each fraction. For example, print 8 pieces of 1/8. You can choose thickness: 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 them even on 0.2 and 20%. How I Designed This Introduction It was quite tricky. Because I'm using FreeCAD, which hasn't got a tool for adding numbers or text, so it was a challenge. Solution There is a very nice and easy-to-use QCAD application that is free and open source. QCAD works on Windows, Mac OS X, and Linux. For 2D designs, it's perfect! Steps Draw the circle in QCAD. Check the diameter. Divide the circle into equal segments - pizza slices! Add text to one part, for example, 1/8. Delete the rest of the circle parts - we need just one. Export it as an SVG file and close QCAD. Open FreeCAD. Import the shape and expand it into a 3D solid. Project: Mathematics Fractions Objectives Depending on 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 equal parts in a circle shape. Explain how to write a fraction using mathematical notation and using words. Explain how to add, divide, subtract, change denominators in fractions. When you think of fractions, think of pizza! Audiences Pupils age - depending on the country and pupils' knowledge level. Mostly for primary school or earlier. Preparation If the teacher explains fractions to a bigger group, 1 printed kit is enough. But for work in smaller groups, it will be necessary to print more than 1 kit. Steps Everything using shapes Lesson 1: Fractions 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, subtract or multiply fractions. Addition - same denominators Subtraction - 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, subtract or change denominators or just how to split pizza for 8 persons or to 3!