## Friday, 6 June 2014

### Consolidation Week 5 Maths

You need to use 2 different strategies to answer the following questions:

193 - 35 = 158
Rounding And Compensate.
Subtract 3 from 193 which equals 190.
Subtract 3 from 35 which equals 32
190-32=158
Number Line
_-3_________-30______-2____
193 190 160       158

215 - 67 = 148
Subtract 5 from 215 which equals 210
Subtract 5 from 67 which equals 62
210-62=148
__-5______-10________-50_______-2_
215 210 200     150 148
315 - 73 = 242
Subtract 5 from 315 which equals 310
Subtract 5 from 73 which equals 68
310-68=242
___-5____-10_____-60_____________
315  310   300        240

62 x 5 = 310
5*60=300
2*5=10
300+10=310
Half the 62 which makes 31
31*5=155
31*5=155
155+155=310

92 x 6 =540
6*90=540
6*2=12
540+12=552
Half the 92 which makes 46
46*6=276
46*6=276
276+276=540

5.0 - 2.65=2.35
+0.05 +0.05
5.05-2.7=2.35
5-2=3
3-0.65=2.35

7.75 - 4.21 =3.54
-0.1  -0.1
7.74-4.2=3.54
7-4=3
0.75-0.21=0.54
3+0.54=3.54

6.0 - 2.79 =4.79
+0.1  +0.1
6.01-2.8=4.79
6-2=4
0.00-0.79=0.79

4+0.79=4.79
6.0 - 2.06 =3.94
+0.04 +0.04

6.04-2.1=3.94
6-2=4
0.0-0.06=0.06
4-0.06=3.94
Use two different strategies to answer the following questions:

There are 42 ladybugs on six leaves. How many ladybugs are on each leaf? 7
Split the 42 into 30 and 12.
30/6=5
12/6=2
5+2=7
21/6=3.5
21/6=3.5
3.5+3.5=7
To fill one jug it takes 4 litres. How many jugs can I fill with 28 litres?
Split 24 into 16 and 12.
16/4=4
12/4=3
4+3=7
14/4=3.5
14/4=3.5
3.5+3.5=7
To fill a bucket is takes 9 litres. How many buckets can I fill with 63 litres?
Split the 63 into 54 and 9.
54/9=6
9/9=1
6+1=7
31.5/9=3.5
31.5/9=3.5
3.5+3.5=7
I have 56 lollies I have to share with seven people. How many lollies will each person receive?
Split 56 into 49 and 7.
49/7=7
7/7=1
7+1=8
28/7=4
28/7=4
4+4=8

I have 36 lollipops, 1/ 4 of them are strawberry flavour. How many strawberry flavoured lollipops do I have?
36/4=9
9*1=9
There are 168 children at Ruapotaka school and only 74 at Sommerville. How many students are there combined at the two schools? Use two strategies to work these questions.
168+74=246
166+72 I subtracted the 2 onto the 168 and 74 which equaled 166 and 72.
166+72=246.
160 and 8. Makes 168.
160+74=238
238+8=246

I had 42 lollies I had to share with 7 people. How many lollies does each person get?
Use two strategies to work these questions.
42÷7=6
Split 42 into 35 and 7.
35÷7=5
7÷7=1
5+1=6.
21÷7=3
21÷7=3
3+3=6
Miss Clark had a cake she cut in half. She then cut each of those pieces in half. How many pieces of cake are there? What would you call each piece of cake? Use two strategies to work these questions.
Miss Clark had a full cake. Then she cut it in half which there 2 pieces of cake now. Then she cut those pieces in half which now it makes 4. Answer: 4
I had \$237, I went shopping and spent \$69. How much money do I have left? Use two strategies to work these questions.
237-69=168
+1    +1
238-70=168
____-7________+60______________________-2___________
237    230       170 168
Six friends eat four cakes, what fraction of the cake do each of them get? Use two strategies to work these questions.
They each got 2 cakes. And one person eats their by their selves.
2 Friends each have 1 cake.
Now there’s 3 cakes left over.
2 Friends have each 1 cake.
There’s 2 cakes left over
1 friend haves 1 cake all to their self

Twelve friends eat four cakes, what fraction of the cake do each of them get? Use two strategies to work these questions.
They each have 1/3 of the cake.
3 Friends have 1 cake.
To fill my car tank, it takes 60 litres. Each litre costs 2.07cents. How much would it cost me to fill my tank?  Use two strategies to work these questions.
It took 29 cents to fill up 60 litres.
2.07*29=60.03
It took Mosa, 4 minutes to iron 8 pairs of socks. How long does it take him to iron one sock only?
It would take 2 minutes.
8  1
*2___________________*2
4  2
It took me, 10 minutes to iron 30 pairs of socks. How long does me to iron one sock only?
It would take 3 minutes
30  1
*3_____________________________*3
30  3

Thursday:

Use the following strategies to answer the questions below

Strategy making hundreds

153 - 89 =64
153 - 100 = 53
53 + 11 = 64

322 - 57 = 180
322-100=222
222-42=180
162 - 86 =48
162-100=62
62-14=48
218 - 39 =57
218-100=118
118-61=57

Rounding and compensating

133 - 89 =44
133 - 90 I added one to 89 to  make it 90.
133 - 90 = 43 + 1 = 44

320 - 57 =263
320-60 I added one 3 to 57 to make it 60.
320-60=260+3=263
124 - 86 =38
128-90 I added 4 to 86 to make it 90.
128-90=38
283 - 39 =
283 - 40 I added 1 to 39 to make it 40.
283-40=244

153 - 95 =58
158 - 100 = 58

322 - 75 =247
300-75=247
162 - 66 =96
160-66=96
218 - 92 =

Partitioning

153 - 95 =58
100 - 90 = 10
53 - 5 = 48
10 + 48 = 58

322 - 72 =248
300-70=230
20-2=18
230+18=248
162 - 76 =84
100-70=30
60-6=54
30+54=84
218 - 92 =118
200-90=110
10-2=8
110+8=118