Mathematics at Work 11 Surface Area, Volume and Capacity
Specific Curriculum Outcomes
M01 Students will be expected to solve problems that involve SI and imperial units in surface area measurements and verify the solutions.(Rectangular/triangular prisms and cylinders as well as right pyramids,cones, and spheres)
M02 Students will be expected to solve problems that involve SI and imperial units in volume and capacity measurements. (Right rectangular/triangular prisms and cylinders (from 8M04) as well as right pyramids,cones, spheres and composite 3D objects)
A01 Students will be expected to solve problems that require the manipulation and application of formulas related to volume and capacity.
M01 Students will be expected to solve problems that involve SI and imperial units in surface area measurements and verify the solutions.(Rectangular/triangular prisms and cylinders as well as right pyramids,cones, and spheres)
M02 Students will be expected to solve problems that involve SI and imperial units in volume and capacity measurements. (Right rectangular/triangular prisms and cylinders (from 8M04) as well as right pyramids,cones, spheres and composite 3D objects)
A01 Students will be expected to solve problems that require the manipulation and application of formulas related to volume and capacity.
M01 and A01 Activities
 3 Acts  Pop Box Design from Timon Piccini and Introducing Surface Area with Pop Box Design from Lisa Bejarano  Pop boxes come in various dimensions. Which one is the most efficient? Why would a company not select the most efficient design?
 Designing Candy Cartons from Mathematics Assessment Project (MAP)  Students design and create a carton to package 18 cylindrical candies. Students then share why they designed their package a specific way and how they made sure that all 18 candies would fit.
M02 and A01 Activities
 Smarties Part 1 and Smarties Part 2 from Mary Bourassa  How many Smarties would you expect in a 45g box? What is the cost per gram or cost per Smartie? Why is there so much empty space in a Smarties box? Can you create a more efficient package with less empty space? The activities contain the unit price outcome from Math at Work 10 as well as work with interpolating and Extrapolating Values from MTW11 Stats and Nets and Surface Area of 3D Objects from the MTW11 Measurement unit.


 Cylinders from Open Middle  Find 3 different cylinders that hold between 110 and 115 cu. ft. of water.
 Expanding Cylinders from Patrick Honner  To increase the volume of a cylinder, is it better to increase the radius or the height? Great conversation starter.
 Volume of a Pyramid from Engaging Math  Develop the formula for the volume of a pyramid via an investigation using templates to cut out shapes that decompose from a prism into 3 pyramids. Great Fun.


 Prisms and Pyramids from Tap Into Teen Minds  A 3Act math task to find out how many pyramids it takes to fill a prism with the same height. Great videos and questions. This activity is closely related to the exporation from Unit 3.3 on p128 of the Math at Work 11 Textbook.