Extended Mathematics 11 Proportional REasoning
Specific Curriculum Outcomes
M01 Solve problems that involve the application of rates.
M02 Solve problems that involve scale diagrams, using proportional reasoning.
M03 Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects.
M01 Solve problems that involve the application of rates.
M02 Solve problems that involve scale diagrams, using proportional reasoning.
M03 Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects.
M03 Activities
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- How Big is the Vehicle That Uses Those Tires? from RobertKaplinsky - You are driving on the freeway when you see a large truck carrying these enormous tires. Use estimation and your understanding of scale to determine size.
- How Much Bigger Should they Make Zoolander's School? from Robert Kaplinsky - Watch a clip from the movie Zoolander and determine how many times bigger Zoolander's school should actually be.
- Photographs Task from MAP Assessment Tasks - In this task, you need to figure out how to fit three different-sized photographs on a single sheet.
- True Scale Weight and Speed of a 1:10 Scale RC Car Model - When we hear 1/10 scale most of us automatically assume that it means everything is a “tenth” of the original – meaning weight, length, height, speed etc.This is not correct however.
- Transport Jacques Auger Mini Kenworth Tanker Truck - Amazing 1/2 scale version of a tanker truck. I especially love the drag race between the scale version and the actual size truck! Have students predict which truck will win before playing the video.