Saskatchewan Common Mathematics Assessments Post Assessment Outcome: SS8.2 I can draw and construct nets for 3-D objects to help determine the surface area of right prisms and cylinders. I can sketch and construct the top, side and front view of 3-D objects. 1. Kelly and Ron are preparing for a camping trip by spraying their tent with a water resistant spray. Assuming that the bottom of the tent does not need to be sprayed, which of the following shows how they would find the total surface area that needs to be sprayed? 2. This object is built using 4 linking cubes. The object is rotated horizontally 180° about the axis shown. Draw the front view of the object after the rotation. Axis of rotation Front view Right side view Level 1 2 3. Which of the following is NOT a net of a square pyramid? 4. Calculate the area of this net of a right triangular prism. 6 cm 6 cm 7 cm 10 cm 5 cm 5. A box of Sugar Bits cereal has the dimensions shown below. How much cardboard is needed to cover the surface area of this Sugar Bits box? Level 3 6. Draw the net for this rectangular prism. 5 cm 3cm 8 cm 7. Draw the net and find the surface area of a cylinder with radius 6 cm and height 4 cm. Round your answer to the nearest whole centimetre. 8. Sketch the front, top, and right side views of this object. Right Front 9. These are the top, front, and right side views of an object built using linking cubes. Sketch a 3-D picture of the object. Top view Front view Right side view 10. A cylindrical tube has diameter 12 cm and length 22 cm. Calculate the curved surface area of the tube, to the nearest square centimetre. Level 4 Teacher Section Which of the following is NOT a net of a square pyramid? 22. WNCP SK SS2 Teacher Notes: All questions are from MMS unless otherwise SS8.2 indicated. a) Student may not have recognized the net of a square pyramid b) Student may not have recognized the net of a square pyramid c) Student may not have recognized the net of a square pyramid d) Correct response Level Indicator Question Answer Key: 1(AFL) I 1 2 C 2 3(AFL) E 2 4 H 5(AFL) I 6 I 2 3 3 Answer 225 cm3 5550 cm2 5cm 8 cm 3cm 7 F 3 6 cm 4 cm SA = 132 cm2 21 8 A 3 9 A 3 Front view Top view Right side view Right Front 10 I 4 The curved surface area of the tube is about 829 cm2. Outcome: SS8.2 - I can draw and construct nets for 3 -D objects to help determine the surface area of right prisms and cylinders. I can sketch and construct the top, side and front view of 3-D objects. up to Level 1 up to Level 2 up to Level 3 up to Level 4 There is a partial No major errors or No major errors or omissions In addition to understanding of omissions regarding the regarding any of the level 3 simpler details or information and/or processes performance, Description of some of the simpler details processes, but major that were explicitly taught. in-depth Levels: and processes. errors or omissions inferences and This is the target level for (based on Prior knowledge regarding the complex applications go proficiency. Marzano, is understood. processes may be present. beyond what 2007) was explicitly taught. Develop and apply formulas for determining the area of: - triangles - parallelograms - circles SS7.2 Indicators and Learning Targets for each Level: Studentfriendly descriptions of learning targets. Demonstrate how the net of a 3-D object (including right rectangular prisms, right triangular prisms, and cylinders) can be used to determine the surface area of the 3-D object and describe strategies used to determine the surface area. SS8.2h I can develop and apply formulas to find the area of different shapes. I can use nets of 3-D objects to figure out the surface area of 3D objects and I can describe the strategy I used. Sketch a top, front, or side view of a 3-D object that is within the classroom or that is personally relevant, and ask a peer to identify the 3-D object it represents. SS8.2b Predict the top, front, and side views for a 3-D object that is to be rotated by a multiple of 90°, discuss the reasoning for the prediction, and then verify concretely and pictorially. SS8.2c Relate the parts (using 1to-1 correspondence) of a net to the faces and edges of the 3-D object it represents. SS8.2e I can use grid or dot paper to draw top, front, and side views of a 3-D object. I can make and verify predictions about the views that result from rotating cube structures. I can relate the parts of a net to the faces and edges of the 3-D object. Manipulate concrete 3-D objects to identify, describe, and sketch top, front, and side views of the 3-D object on isometric paper. SS8.2a Create a net for a 3-D object, have a peer predict the type of 3-D object that the net represents, explain to the peer the reasoning used in designing the net, and have the peer verify the net by constructing the 3-D object from the net. SS8.2f Extend understanding of area to surface area of right rectangular prisms, right cylinders, right triangular prisms, to composite 3-D objects SS9.2 Generalize and apply strategies for determining the surface area of 3-D objects. SS8.2i I can use 3-D objects to draw and label top, front, and side views on dot paper. I can make a net for a 3-D object and have a peer tell me what it is; then I explain my design and my peer builds the object from my net. I can develop strategies to calculate the surface area of prisms and cylinder. I can extend my understanding of area to surface area of right rectangular prisms, right cylinders, right triangular prisms to composite 3-D objects