Answers
Sub-strand: Using units of measurement
3. The perimeters are all the same (12 units), but the areas are different.
UUM –1 Page 10
Resource sheet – Paperclip chains
Page 26
Teacher check Page 12
1. (a) (i) P = 12 cm A = 6 cm2 (ii) P = 16 cm A = 9 cm2 (iii) P = 18 cm A = 8 cm2 (iv) P = 12 cm A = 5 cm2 (v) P = 12 cm A = 8 cm2 (b) (i) (iv) (v) (c) (iii) (v) 2. (a) 22 units (b) 10 square units 3. (a) Teacher check (b)–(c)
Resource sheet – Ambitious areas
1.–2. Teacher check 3. Bird: 19.5 squares Rabbit: 26 squares Page 13
Resource sheet – Boxes of eight
Teacher check
Assessment 1 – Twelve squares
r o e t s Bo r e p ok u S
Page 14–15 Resource sheet – Mystery tour
Sketch
You will be taken to the zoo. Page 16
Teac he r
(b) (d) (f ) (h)
30 cm ruler tape measure or 1 m ruler 30 cm ruler pedometer
Area
12 units
1 unit
26 units
12 square units
6 units
2 units
16 units
12 square units
Assessment 1 – Units of length
4 units
UUM – 3
Assessment 2 – Boxes and more boxes
3 units
14 units
12 square units
4. The areas are the same for all of the rectangles, but the perimeters are different. The longer and thinner the shape, the greater the perimeter.
Teacher check
Page 33
Resource sheet – The 24-hour clock
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• Length
Width
Height
Volume
1
3 cm
3 cm
3 cm
27 cm3
54 cm2
2
2 cm
2 cm
1 cm
4 cm3
16 cm2
3
5 cm
4 cm
2 cm
40 cm3
80 cm2
w ww
Prism
area
. te
a perimeter of 14 units a perimeter of 16 units
(b) (d) (f ) (h) (b) (d) (f ) (h)
1400 2400 0525 0420 3:44 am 6:05 pm 10:22 pm 4:21 pm
Assessment 1 – It’s about time
1. 10:49 am is 1049. The bus leaves at 1137. 1049 until 1100 is 11 minutes, plus the extra 37 minutes until 1137 gives 48 minutes. Answer: 48 minutes 2. 2:00 is 1400. The trip takes 32 minutes, so the latest bus she could take would be 1328 (1400–32 minutes). The bus that leaves just before 1328 is the 1305 bus. Answer: The 1305 bus 3. 7:30 am is 0730. An hour later it would be 0830. The closest bus to that time is the 0837 bus. Answer: The 0837 bus 4. 10:30 am is 1030. The trip takes 32 minutes, so the latest bus she could take would be 0958. The bus that leaves just before 0958 is the 0955 bus. Answer: The 0955 bus 5. 3:45 pm is 1545. The next bus is at 1604. It is 15 minutes from 1545 until 1600; add on the extra 4 minutes until 1604, and the wait is 19 minutes. Answer: The 1604 bus. A 19 minute wait
o c . che e r o t r s super
Resource sheet – Area the same
1. Teacher check 2. a perimeter of 12 units
0400 1200 1223 2115 1:48 pm 10:15 pm 11:11 am 7:14 am
Page 39
(c) Teacher check
UUM – 2
1. (a) (c) (e) (g) 2. (a) (c) (e) (g)
m . u
1. (a) Teacher check (b) 24 cm3 (c) Their volume is the same, but their shapes are different. 2. (b) Surface
P = 12; A = 8
P = 14; A = 8
P = 16; A = 8
a perimeter of 18 units
P = 18; A = 8
a perimeter of 18 units
P = 18; A = 8
3. The areas are all the same (8 square units), but the perimeters are different. Page 25
Perimeter
ew i ev Pr
Page 17
Page 24
Width
Resource sheet – Units of length
1. (a) tape measure (c) tape measure (e) trundle wheel (g) trundle wheel 2. Teacher check
Page 18
Length
Resource sheet – Perimeter the same
1. Teacher check 2. (a) 1 tile
P = 12; A = 7
(b) 2 tiles
P = 12; A = 6
(c) 3 tiles
P = 12; A = 5
Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 5)
R.I.C. Publications® www.ricpublications.com.au
41