RIC-20164 ACM Measurement and Geometry (Yr 5) Using units of measurement 2
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Sub-str<strong>and</strong>: <strong>Using</strong> <strong>units</strong> <strong>of</strong> <strong>measurement</strong><br />
Answers<br />
Area<br />
UUM –1<br />
3. The perimeters are all the same (12 <strong>units</strong>), but the<br />
areas are different.<br />
Page 10 Resource sheet – Paperclip chains<br />
Page 26 Assessment 1 – Twelve squares<br />
Teacher check<br />
1. (a) (i) P = 12 cm A = 6 cm 2 (ii) P = 16 cm A = 9 cm 2<br />
Page 12 Resource sheet – Ambitious areas<br />
(iii) P = 18 cm A = 8 cm 2 (iv) P = 12 cm A = 5 cm 2<br />
1.–2. Teacher check<br />
(v) P = 12 cm A = 8 cm 2<br />
3. Bird: 19.5 squares Rabbit: 26 squares<br />
(b) (i) (iv) (v) (c) (iii) (v)<br />
2. (a) 22 <strong>units</strong> (b) 10 square <strong>units</strong><br />
Page 13 Resource sheet – Boxes <strong>of</strong> eight<br />
3. (a) Teacher check<br />
Teacher check<br />
(b)–(c)<br />
Page 14–15 Resource sheet – Mystery tour<br />
Sketch Length Width Perimeter<br />
3 5 cm 4 cm 2 cm 40 cm 3 80 cm 2 (g) 7:14 am<br />
(h) 4:21 pm<br />
You will be taken to the zoo.<br />
12 square<br />
12 <strong>units</strong> 1 unit 26 <strong>units</strong><br />
<strong>units</strong><br />
Page 16 Resource sheet – Units <strong>of</strong> length<br />
12 square<br />
6 <strong>units</strong> 2 <strong>units</strong> 16 <strong>units</strong><br />
<strong>units</strong><br />
1. (a) tape measure (b) 30 cm ruler<br />
(c) tape measure (d) tape measure or 1 m ruler<br />
12 square<br />
4 <strong>units</strong> 3 <strong>units</strong> 14 <strong>units</strong><br />
<strong>units</strong><br />
(e) trundle wheel (f) 30 cm ruler<br />
(g) trundle wheel (h) pedometer<br />
4. The areas are the same for all <strong>of</strong> the rectangles, but<br />
the perimeters are different. The longer <strong>and</strong> thinner<br />
2. Teacher check<br />
the shape, the greater the perimeter.<br />
Page 17 Assessment 1 – Units <strong>of</strong> length<br />
UUM – 3<br />
Teacher check<br />
Page 33 Resource sheet – The 24-hour clock<br />
Page 18 Assessment 2 – Boxes <strong>and</strong> more boxes<br />
1. (a) 0400 (b) 1400<br />
1. (a) Teacher check (b) 24 cm 3<br />
(c) 1200 (d) 2400<br />
(c) Their volume is the same, but their shapes are<br />
(e) 1223 (f) 0525<br />
different.<br />
(g) 2115 (h) 0420<br />
2. (b)<br />
Surface<br />
Prism Length Width Height Volume<br />
area 2. (a) 1:48 pm (b) 3:44 am<br />
1 3 cm 3 cm 3 cm 27 cm 3 54 cm 2<br />
(c) 10:15 pm (d) 6:05 pm<br />
2 2 cm 2 cm 1 cm 4 cm 3 16 cm 2<br />
(e) 11:11 am (f) 10:22 pm<br />
UUM – 2<br />
(c) Teacher check<br />
Page 24 Resource sheet – Area the same<br />
1. Teacher check<br />
2. a perimeter <strong>of</strong> 12 <strong>units</strong> P = 12; A = 8<br />
a perimeter <strong>of</strong> 14 <strong>units</strong> P = 14; A = 8<br />
a perimeter <strong>of</strong> 16 <strong>units</strong> P = 16; A = 8<br />
a perimeter <strong>of</strong> 18 <strong>units</strong> P = 18; A = 8<br />
a perimeter <strong>of</strong> 18 <strong>units</strong> P = 18; A = 8<br />
3. The areas are all the same (8 square <strong>units</strong>), but the<br />
perimeters are different.<br />
Page 25 Resource sheet – Perimeter the same<br />
1. Teacher check<br />
2. (a) 1 tile P = 12; A = 7<br />
(b) 2 tiles P = 12; A = 6<br />
(c) 3 tiles P = 12; A = 5<br />
Page 39 Assessment 1 – It’s about time<br />
1. 10:49 am is 1049. The bus leaves at 1137. 1049 until<br />
1100 is 11 minutes, plus the extra 37 minutes until<br />
1137 gives 48 minutes. Answer: 48 minutes<br />
2. 2:00 is 1400. The trip takes 32 minutes, so the latest<br />
bus she could take would be 1328 (1400–32 minutes).<br />
The bus that leaves just before 1328 is the 1305 bus.<br />
Answer: The 1305 bus<br />
3. 7:30 am is 0730. An hour later it would be 0830. The<br />
closest bus to that time is the 0837 bus.<br />
Answer: The 0837 bus<br />
4. 10:30 am is 1030. The trip takes 32 minutes, so the<br />
latest bus she could take would be 0958. The bus that<br />
leaves just before 0958 is the 0955 bus.<br />
Answer: The 0955 bus<br />
5. 3:45 pm is 1545. The next bus is at 1604. It is 15<br />
minutes from 1545 until 1600; add on the extra 4<br />
minutes until 1604, <strong>and</strong> the wait is 19 minutes.<br />
Answer: The 1604 bus. A 19 minute wait<br />
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Australian Curriculum Mathematics resource book: <strong>Measurement</strong> <strong>and</strong> <strong>Geometry</strong> (Year 5) R.I.C. Publications ® www.ricpublications.com.au 41