Math Live – Volume: Assessment Task Grade: 5 Strand: Shape and Space (Measurement) Outcome: 4 SPECIFIC LEARNER OUTCOMES – Shape and Space (Measurement SS4 Demonstrate an understanding of volume by: • selecting and justifying referents for cm3 or m units • estimating volume, using referents for cm3 or m3 • measuring and recording volume (cm3 or m3) • constructing right rectangular prisms for a given volume. PROCESSES Communication (C), Connections (CN), Mental Mathematics and Estimation (ME), Problem Solving (PS), Reasoning (R), Technology (T), Visualization (V) C, CN, ME, PS, R, V EVIDENCE the student has achieved the outcomes Each student will: • Represent the 3 dimensions required to calculate the volume of a rectangular prism. • Explain the method of determining the volume of containers and use cm 3 as the unit to describe volume. • Estimate the volume of an irregular shape using cm 3 . • Determine the volume of an irregular shape using words and diagrams. TEACHER NOTES • In this assessment task, students will be asked to demonstrate their understanding of volume. They will create, sketch/model, and determine the volume of a container (box) in Part A. In Part B, students will estimate and determine the volume of an irregular shape. • Materials required: die numbered from 2-7 (change the 1 to a 7), centimeter cubes, and pencil • Students should use cm 3 . • Ordering volume is also a part of this outcome but is not addressed in this on-line lesson. • Students in Grade 5 should not be expected to generalize and use rules until Grade 6 (i.e.: length x width x height). • Early finishers could compare the volume of their container (box) with others from Part A, or they can number cubes with larger numbers to create larger boxes. Math Live © 2009 Alberta Education (www.learnalberta.ca) Page 1 of 17
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Math Live – Volume: Assessment Task
Grade: 5 Strand: Shape and Space (Measurement) Outcome: 4 SPECIFIC LEARNER OUTCOMES – Shape and Space (Measurement
SS4 Demonstrate an understanding of volume by: • selecting and justifying referents for cm3 or m units • estimating volume, using referents for cm3 or m3 • measuring and recording volume (cm3 or m3) • constructing right rectangular prisms for a given volume.
PROCESSES Communication (C), Connections (CN), Mental Mathematics and Estimation (ME),Problem Solving (PS), Reasoning (R), Technology (T), Visualization (V)
C, CN, ME, PS, R, V
EVIDENCE the student has achieved the outcomes
Each student will: • Represent the 3 dimensions required to calculate the volume of a rectangular prism. • Explain the method of determining the volume of containers and use cm3 as the unit
to describe volume. • Estimate the volume of an irregular shape using cm3. • Determine the volume of an irregular shape using words and diagrams.
TEACHER NOTES
• In this assessment task, students will be asked to demonstrate their understanding of volume. They will create, sketch/model, and determine the volume of a container (box) in Part A. In Part B, students will estimate and determine the volume of an irregular shape.
• Materials required: die numbered from 2-7 (change the 1 to a 7), centimeter cubes, and pencil
• Students should use cm3. • Ordering volume is also a part of this outcome but is not addressed in this on-line
lesson. • Students in Grade 5 should not be expected to generalize and use rules until Grade
6 (i.e.: length x width x height). • Early finishers could compare the volume of their container (box) with others from
Part A, or they can number cubes with larger numbers to create larger boxes. Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 1 of 17
FILLING BOXES - Student Assessment Task PART A:
1. Roll the number cube three times. 2. Record the numbers as the length, width, and height (in cm) of a box. 3. Sketch or build a representation of your box.
Length = cm Width = cm
Height = cm
Sketch of my box Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 2 of 17
4. Find the volume of your box in cubic centimeters. Explain how you found the volume using words and diagrams.
Page 3 of 17Math Live © 2009 Alberta Education (www.learnalberta.ca)
PART B:
= 1 cm3
1. Write down your estimate of the volume of this shape.
2. Use words and diagrams to show how to find the exact volume of the shape.
Page 4 of 17Math Live © 2009 Alberta Education (www.learnalberta.ca)
Math Live –Volume: Scoring Guide
Level
Criteria
Explains a method of determining the volume of a container
Question Part A #4
Determines the volume of an irregular shape
Questions Part B #1 and #2 Wow!
Correctly represents the three dimensions needed to calculate the volume of a rectangular prism and
demonstrates a conceptual understanding of how these
dimensions can be used to determine volume
Determines volume of an irregular shape by dividing it into constituent parts, applies an efficient calculation method to find the total volume, and
insightfully explains this method using words and pictures
Yes Correctly represents the three
dimensions needed to calculate the volume of a rectangular prism and
uses these three dimensions to determine volume with a logical
explanation
Determines volume of an irregular shape by applying an efficient
calculation method to find the total volume and logically explains this method using words and pictures
Yes, but…
Represents the three dimensions needed to calculate the volume of a rectangular prism and calculates the
volume by simply applying a procedure with little or no evidence of
conceptual understanding
Determines volume of an irregular shape by counting each square and provides a partial explanation using
either words or pictures
No, but… May represent the three dimensions needed to calculate the volume of a rectangular prism but miscalculates the volume and/or shows little or no
evidence of understanding
Unable to determine volume of an
irregular shape but shows a beginning understanding of volume through
either words or pictures
Insufficient / Blank
No score awarded due to insufficient evidence of student learning based on the requirements of the assessment
task
No score awarded due to insufficient evidence of student learning based on the requirements of the assessment
task
Page 5 of 17Math Live © 2009 Alberta Education (www.learnalberta.ca)
Math Live – Volume: Assessment Task Wow!
PART A:
1. Roll the number cube three times. 2. Record the numbers as the length, width, and height (in cm) of a box. 3. Sketch or build a representation of your box.
Length = cm Width = cm
Height = cm
Sketch of my box
Page 6 of 17Math Live © 2009 Alberta Education (www.learnalberta.ca)
Wow! 4. Find the volume of your box in cubic centimeters. Explain how you found
the volume using words and diagrams.
Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 7 of 17
Wow! PART B:
= 1 cm3
5. Write down your estimate of the volume of this shape.
6. Use words and diagrams to show how to find the exact volume of the shape.
Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 8 of 17
Math Live – Volume: Assessment Task
Yes
PART A:
1. Roll the number cube three times. 2. Record the numbers as the length, width, and height (in cm) of a box. 3. Sketch or build a representation of your box.
Length = cm Width = cm
Height = cm
Sketch of my box Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 9 of 17
Yes 4. Find the volume of your box in cubic centimeters. Explain how you found
the volume using words and diagrams. Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 10 of 17
Yes PART B:
= 1 cm3
3. Write down your estimate of the volume of this shape.
4. Use words and diagrams to show how to find the exact volume of the shape.
Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 11 of 17
Yes, but
Math Live – Volume: Assessment Task
PART A:
1. Roll the number cube three times. 2. Record the numbers as the length, width, and height (in cm) of a box. 3. Sketch or build a representation of your box.
Length = cm Width = cm
Height = cm
Sketch of my box Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 12 of 17
Yes, but 4. Find the volume of your box in cubic centimeters. Explain how you found
the volume using words and diagrams.
Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 13 of 17
Yes, but PART B:
= 1 cm3
5. Write down your estimate of the volume of this shape.
6. Use words and diagrams to show how to find the exact volume of the shape.
Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 14 of 17
No, but
Math Live – Volume: Assessment Task
PART A:
1. Roll the number cube three times. 2. Record the numbers as the length, width, and height (in cm) of a box. 3. Sketch or build a representation of your box.
Length = cm Width = cm
Height = cm
Sketch of my box Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 15 of 17
No, but 4. Find the volume of your box in cubic centimeters. Explain how you found
the volume using words and diagrams.
Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 16 of 17
No, but PART B:
= 1 cm3
5. Write down your estimate of the volume of this shape.
6. Use words and diagrams to show how to find the exact volume of the shape.
Math Live © 2009 Alberta Education (www.learnalberta.ca)
Page 17 of 17
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