#### At Right Angles July 2019

 Download Pdf version The July 2019 issue features Fractals on the cover - those distant and beautiful and highly mathematical creations have been brought a click away in our TechSpace section. Enjoy creating them and adding to your repertoire. We also take you through the magical tour of the beauty of mathematics starting with an article on Pentagons. Pi enters the ClassRoom section and the primary has plenty of learning - have fun joining the dots and exploring geometrical figures with different lenses. Students share their mathematical findings in two exciting articles. Our pedagogy article helps you to Understand Learners' Thinking. And the Middle School problem corner is a Do_It_Yourself hands on problem solving section. The PullOut is on Ratio. Do send in your feedback on AtRiA.editor@apu.edu.in

###### Features
 Shashidhar Jagadeeshan From Regular Pentagons to the Icosahedron via the Golden Ratio Part - I Shailesh ShiraliThe Constants Of Mathematics Part-IV Shailesh Shirali A Counter-intuitive Pythagorean Surprise

###### Classroom
 Ananda BhaduriCircles Inscribed in Segments Rahil MirajRadii of In-circle and Ex-circles of a Right-Angled Triangle A. RamachandranA Path To Pi Sabitha Raghunath & Sneha BhansaliPi Enters The 5th Class Shikha TakkerUnderstanding Learners’ Thinking through an Analysis of Errors Hara Gopal R‘CuRe’ Triplets Swati Sircar & Sneha TitusJoining the Dots Swati SircarTearOut Fun with Dot Sheets Swati SircarExploring Properties of Addition and Multiplication with Integers CoMaCCan there be SSA congruence? Shailesh ShiraliHow to Prove it

###### Problem Corner

 A RamachandranDIY Problems for the MIDDLE SCHOOL Prithwijit De & Shailesh ShiraliProblems for the SENIOR SCHOOL Prithwijit DeA Geometric EXPLORATION Shailesh ShiraliA Triangle Area Problem Shailesh ShiraliAdventures in PROBLEM SOLVING CoMaCComputing an Angle in an Equilateral Triangle

###### Pullout

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