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# NCTM Annual Meeting and Convention

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This is the handout used during the presentation in Denver.

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### NCTM Annual Meeting and Convention

1. 1. NCTM Annual Meeting and ConventionsFriday, 19 April 2013  Denver COGrades 3 – 8  Gallery WorkshopSession 337  Capitol Ballroom 5-7 Hyatt RegencyExploring Reasoning and Communication Problems fromwithSingapore Classrooms Yeap Ban Har, Ph.D.  yeapbanhar@gmail.com Marshall Cavendish Institute, Singapore Presentation is available at www.facebook.com/MCISingapore Ban Har is the Principal at Marshall Cavendish Institute, a global professionaldevelopment institute based in Singapore. Concurrently, he is the Director ofCurriculum and Professional Development at Pathlight School, a Singapore K-10school offering mainstream curriculum to learners with autism. He taughtmathematics education at National Institute of Education, Nanyang TechnologicalUniversity – the sole teacher education institute in Singapore – for more than tenyears prior to his current appointments.1|P ag e NCTM2013 Session 337
2. 2. Problem 1 Reference: Math in Focus Singapore Math by Marshall Cavendish 4BDraw a square such that the area is 1 square unit.The corners of the square must be at where lines meet.Draw a square such that the area is 2 square units. Is it possible?Draw a square such that the area is 3 square units. Is it possible?Draw a square such that the area is 4 square units. Is it possible?How many different squares of area not more than 16 square units are possible?2|P ag e NCTM2013 Session 337
3. 3. Problem 2Nine identical rectangles measuring 7 cm by 2 cm are arranged as shown below.What is the perimeter of the figure? Reference: Henry Park Primary SchoolProblem 3John had 1.5 m of copper wire. He cut some of the wire to bend into the shapeshown in the figure below. In the figure, there are 6 equilateral triangles and thelength of XY is 19 cm. How much of the copper wire was left? Reference: Primary School Leaving Examination3|P ag e NCTM2013 Session 337
4. 4. Problem 4 A rectangular sheet of paper is folded as shown in the figure. Given the angles marked , explain if it is possible to calculate the angle indicated by the arrow?Problem 5The figure below, not drawn to scale, shows a circle overlapping a larger semi-circle. If the ratio of the shaded area to the unshaded area is 5 : 8, find the ratio ofthe radius of the circle to the radius of the larger circle. Reference: Red Swastika School4|P ag e NCTM2013 Session 337