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recognize and explain the meaning of length, width, height, depth, thickness, perimeter, and circumference
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Draw a 3-D outline of each shape:
- soup can
- cereal box
- story book
Find an object with:
- a circumference of approximately 21 cm
- a depth of approximately 10 cm
- a perimeter of approximately 20 cm
- a width of approximately 22 cm
- a thickness of approximately 1 mm
- a height of approximately 2 m
- an area of approximately 600 cm2
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solve problems involving mass using grams, kilograms, and tonnes
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Supermarkets order groceries in large lots. About how many packages are there in these lots?
- 1 t of cookies packed in 400 g packages
- 1 kg of spices packed in 5 g packages
Explain your reasoning.
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evaluate which units of measure would be most appropriate when selecting different measuring tools
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Indicate the measuring tool and unit best used
to measure:
- the volume of air in your classroom
- the capacity of a pill bottle
- the mass of a train car full of wheat
- the surface area of a kitchen table
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estimate and measure the area of irregular shapes by dividing them into parts
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Here are the outlines of two continents.
- Estimate the area of each continent in squares. Explain your strategy.
- Which continent has the greatest area?
- Which continent likely has the longer perimeter?
- Outline a shape with more area but about the same perimeter as Australia.
- Estimate the area of one square in km2. Explain your reasoning.
[Click on image to enlarge.]
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estimate and measure the perimeter of irregular shapes
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Determine the perimeter of this figure.
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estimate and measure the effect on a rectangle's perimeter or area by changing one or more of its dimensions
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Monique used square tiles to construct a rectangle with a perimeter of 20 cm and an area of 21 cm2. What are the dimensions of the rectangle? Use only whole numbers in centimetres for your answers.
Monique decides to keep the perimeter at 20 cm. Predict what will happen to the area of her rectangle if she:
- increases the length of her rectangle
- decreases the length of her rectangle
Outline and cut all possible rectangles with a perimeter of 20 cm. Check your predictions.
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relate the perimeter and area of a rectangle, using manipulatives and diagrams
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Do you think a square and a rectangle with the same perimeter have the same area? Explain your reasoning. Draw pictures to help others visualize your thinking.
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relate the units cm3 and mL
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How many mL of juice will fit inside a plastic container that has a volume of 705 cm3? Explain.
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estimate, measure, record, and order containers by volume using cm3
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Choose three different cracker boxes. Estimate the volume of each box in cubic centimeters. Order the boxes according to your estimate. Show how to use centicubes or a ruler to check your estimates. Were your predictions right? Explain your results.
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construct objects of a specific volume expressed in cm3
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Use centicubes to construct cubes with lengths of 2 cm and 3 cm. Draw 3-D pictures of cubes 1 cm, 2 cm, and 3 cm in length.
Fill in the chart to show the number of cubes needed for cubes 1 cm, 2 cm, 3 cm, and 4 cm in length. Then explain how to use a calculator to fill in the remaining numbers on the chart.
Length of Edge (cm)
of Constructed Cubes |
1 |
2 |
3 |
4 |
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| Number of centicubes used |
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read and write SI notation for recording date and time
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Use SI notation to write:
- today's date
- your birthday
- when you will graduate from high school
- a date that is special to you
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Shape and Space (Measurement)
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