- linear measurement
- surface area of spheres, and right cones, cylinders, prisms, and pyramids
- volume of spheres, and right cones, cylinders, prisms, and pyramids
- relationships between and within measurement systems.
[C, CN, ME, PS, R, V]
| It is intended that students explore, analyze for patterns, and develop understanding of many units in both systems of measurement. These units include: metres, along with appropriate prefixes such as kilo, hecta, deci, centi, and milli, as well as hectare (SI system) inch, foot, yard, mile, acre (imperial system). | |
| (a) |
Provide personal referents for linear measurements, including millimetre, centimetre, metre, kilometre, inch, foot, yard, and mile and explain the choices. |
| (b) |
Justify the choice of units and or referents for determining or estimating linear, surface area, or volume measurements in different contexts. |
| (c) |
Explain the selection of measurement instruments (e.g., rulers, callipers, or tape measures) and the strategies used to determine linear measurements (e.g., circumference of a bottle, length of a curve, or perimeter of the base of an irregular 3-D object). |
| (d) |
Critique the statement “the length of the wall is greater in yards than it is in metres”. |
| (e) |
Compare the size of SI and imperial units of measurement (linear, surface area, and volume) using referents. |
| (f) |
Develop, generalize, explain, and apply strategies and/or formulas for converting between units within the imperial or SI system of measurements, limited to linear, surface area, and volume units. (e.g., converting square feet to square yards or m3 to cm3). |
| (g) |
Develop, generalize, explain and apply strategies and/or formulas for converting between:
|
| (h) |
Verify, with explanation (such as unit analysis and/or mental mathematics and estimation), a conversion of units (within the SI or imperial systems of measurement or between them). |
| (i) |
Analyze 3-D objects, their nets, and labelled diagrams to develop and generalize strategies and/or formulas for determining the surface area and volume of right cones, cylinders, prisms, and pyramids and composite objects. |
| (j) |
Solve, using personal strategies and/or formulas, situational questions related to surface area, volume, and dimensions of right cones, cylinders, prisms, and pyramids, and composite 3-D objects. |
| (k) |
Apply formulas to determine the surface area and/or volume of spheres. |
| (l) |
Explain the relationship between the volumes of:
|
| (m) |
Analyze a treaty for its inclusion of measurements, such as in the surveying for land entitlement, and create and solve situational questions that are relevant to self, family, and community. |
