| It is expected that students will:
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convert between commonly used SI units of length, mass, and capacity
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What is the difference between the highest and lowest of these prices? Explain how you know.
| Alaskan pollock fillets | 69¢/100 g |
| Pacific sole | $3.90/kg |
| Manitoba whitefish | $0.32/100 g |
| Fresh oysters | $3.99/500 g |
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develop, verify, and use rules or expressions to determine the perimeter of polygons
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Domenico has forgotten to measure one dimension of a room. What is the missing dimension? Three students each began to solve the problem, where P is the perimeter, L is the length, and W is the width.
| Domenico wrote: | P = L + W + L + W
46 = 16 + W + 16 + W |
| Jake wrote: | P = (2 x L) + (2 x W)
46 = (2 x 16) + (2 x W) |
| Owen wrote: | P = 2(L + W)
46 = 2(16 + W) |
Choose one boy's work and finish solving the problem. What is the missing dimension? Explain why you chose the work you did.
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develop, verify, and use rules or expressions to determine the area of rectangles
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Four loonies are arranged as shown.
The centres of the loonies are the vertices of a square. If the radius of a loonie is 13 mm, what is the area of the square?
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estimate, measure, and then calculate the surface area of right rectangular prisms (without using a formula)
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Carefully examine a drink box. Then estimate:
- the surface area of the box in square centimetres
- the volume of the box in cubic centimetres
Measure the three dimensions. Explain how to use
the dimensions to estimate:
- the area of a grid paper jacket for the drink box
- the volume of the drink box
Use centicubes to explain how to calculate the volume of the drink box. Design a centimetre grid paper jacket to cover the box, then use the jacket to explain how to find the surface area of a rectangular prism.
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discover, generalize, and use rules to determine the volume of right rectangular prisms
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A manufacturer of open boxes has a large supply of cardboard sheets, 12 units by 18 units in length. The box-making machine can be set to cut square corners from each sheet before folding it to make an open box.
What is the volume of the box, if a 1 x 1 unit square is
cut from each corner? Use centimetre paper to build
a box with a 2-unit square cut from each corner. What
is the volume of this box?
Calculate the volume of all possible open boxes that the manufacturer could make. What size should be cut from the cardboard sheets if the open box is to have the greatest possible volume? Complete the chart to justify your answer.
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determine the volume of an object by measuring the amount of liquid displaced by that object (cm3 or mL)
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Bring a stone to class and determine its volume.
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recognize angles as being more than 90ƒ, equal to 90ƒ, less than 90ƒ, or greater than 180ƒ
estimate and measure angles using a circular protractor
draw and sketch an angle in which the degrees in the angle are specified
classify given angles as acute, right, obtuse, straight, or reflex
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Use pattern block pieces to name the type of interior angle present in all blocks in the following sets.
Set 1--hexagon, trapezoid, blue and tan rhombuses
Set 2--triangle, trapezoid, blue and tan rhombuses
Combine pattern block pieces to form new angles:
- combine 2 blocks to form an acute angle
- choose 1 block with an obtuse angle
- combine 3 blocks to form a right triangle
- combine 5 blocks to form a straight angle
Trace and label an example for each.
Demonstrate how to use a circular protractor to measure and name the angle in each example
traced above.
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identify and compare examples of angles in the environment
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Look at or research business signs, logos, flags, and so on. How common is it to see triangles in these creations? Name the angles in the triangles
you have noted.
Continue the search by observing art work and crafts. How are triangles used in quilting? Wallpaper designs? Stained glass windows?
Use triangles to create a work of your own. Then present your work, describing what triangles you used.
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Shape and Space (Measurement)
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