1. Internal 3 Credits

2. Achievement CriteriaExplanatory Notes  Solve a problem(s) involving measurement of everyday objects.  Students are required to choose, and make, appropriate measurements. Appropriate use of equipment is implied by a reasonable measurement. Students are expected to use their measurements in solving a problem.  Everyday objects will be based on circles, triangles, rectangles, cuboids, cylinders and triangular prisms. Combinations of these may be assessed.  Solve measurement problems.  Problems will be based on a representative selection involving perimeter and circumference, area (including surface area), volume, mass, capacity and time (including 24-hour clock time). Achievement

3. Metrics - Revision Base Units:metre (m) - length litre (L) - capacity (volume) gram (g) - mass (weight) Prefixes: milli (m) - centi (c) - deci (d) - deca (D) - 10 hecto (H) - 100 kilo (k) - 1000 mega (M) - 100000 * * * * commonly used ones

4. Unitsymbol Used for Examplemillimetresmm very accurate measurements pencil lead is 0.5mm thick centimetrescm approximate measurements my height is 173 cm metresm buildings, sport a rugby field is 100m kilometreskmdistances it is 5 km to Pakuranga

5. Unitsymbol Used for Examplemilligramsmg very accurate measurements 50mg of caffeine in coffee gramsg approximate measurements 50 grams of butter kilogramskg people, objects that can be carried I weigh 65 kg tonnest heavy objects a truck weighs 6 tonnes

6. Revision - Metric Conversions When changing to a larger unit, move the decimal point to the left. How far left depends on the number of zeros in the prefix value. Examples:4321 mm =4.321 521 g = m kg0.521   62.1 mm = cm6.21 When changing to a smaller unit, move the decimal point to the right. Examples: 524.3 m = cm 52430 0 4218.4 kg = g004218400 5.24 cm = mm 52.4 4.321 km = cm00 432100 ÷ 1000 ÷ 10 x 100 x 1000 x 1000 x 100 x 10

7.  What do you think volume is?  The volume of an object is a measure of how much space it occupies.  Anyone know how it is measured?  Cubic units: Cubic metres Cubic centimetres Cubic millimetres m 3 cm 3 mm 3

8. This is one cubic centimetre 1 cm 3 This is one cubic millimetre 1 cm = 10 mm 10 mm This is one thousand cubic millimetres. 10mm x 10 mm x 10 mm = 1000 mm 3

9.  What is a prism?  A object with parallel sides that are right- angles to each end.  Rule is that each end has the same shape and size.

10. Area of the end = 12 x 10 = 120 cm 2 Volume = 120 x 15 = 1800 cm 3 Volume of uniform solid = area of end x length or = area of end x height Solids of uniform cross- section height end length end

11.  Area of side = 37 cm 2  Length (or height) = 5 cm  What is the volume?  What units? 37 cm 2 5 cm

12.  What is the volume of this rectangular block in mm 3 and cm 3 ?  Volume = l x w x h  Try it. 60 mm 39 mm 24 mm

13.  Calculate volume of cylinder.  Volume = ?  Volume = r 2 * h  Calculate to 4 s.f. r = 1.9m h = 4.7m

14.  Do exercise 13.01  1 a, b  2 b  4 a  5 a, b, d, e  6 a, b  7 a, b  8 c  11