Download Related number sentences

Lab 4
Related
Related number
number sentences
sentences
7
4
6
12
5
2
10
1
9
Algebra
3
8
20
1 Complete using the numbers above.
a 7+4=
d 12 ÷ 3 =
+1
b9–3=5+
–1
e 12 ÷ 6 =
π1
c 8π
= 20 – 4
f 20 +
=3π
2 Write as many expressions as you can using the numbers.
There must be two numbers and an operations sign (+, –, ÷, π) on each side of
the = (is equal to).
120
!
=
=
=
=
=
=
=
=
=
=
=
=
=
=
ACMNA082 & ACMNA083 Patterns and algebra • Solve word problems by using number sentences involving multiplication or division where there
is no remainder. • Use equivalent number sentences involving addition and subtraction to find unknown quantities.
Missing
Missing values
values
Algebra
1 Complete these sequences.
a
1.10
1.11
1.12
b
2!
3!
4!
c
0.1
0.3
0.5
d
0.97
0.96
0.95
e
5!
5@
5#
2 True or false.
a 6+8=8+6
_____________ b 4 π 9 = 9 π 4
_____________
c 12 ÷ 4 = 4 ÷ 12
_____________ d 16 – 5 = 5 – 16
_____________
e 3π2π7=2π7π3
_____________ f 6 + 8 + 4 = 4 + 7 + 8
_____________
g 12 ÷ 6 ÷ 2 = 6 ÷ 2 ÷ 12
_____________ h 16 + 7 + 3 = 13 + 17 + 6 _____________
i 36 π 10 = 10 π 36
_____________ j 3 π 17 π 0 = 6 π 0 π 14 _____________
k 27 + 12 + 13 = 12 + 27 + 13 _____________ l 3 π 2 + 6 = 3 π 6 + 2
3 a 7π
= 28
b
= _______
= _______
= 50
= 16
+ 36
j
÷9=9
g 56 = 4 π
= _______
Challenge!
– 6 = 14
d
k 100 –
π7
h 71 =
l 72 + 36 =
= _______
= _______
– 29
= _______
= 37
o 100 ÷ 2 ÷
+ 18 = 40
= _______
= _______
= _______
n
=6
= _______
= _______
= _______
m4+7+
c 42 ÷
= _______
f 49 =
e 15 = 30 ÷
i 2π
– 6 = 11
_____________
= _______
=5
p3π7π2=
= _______
= _______
Find the value of the star in each.
a 36 + 52 = 100 – 51 +
b
π4÷5=
–2
ACMNA082 & ACMNA083 Patterns and algebra • Solve word problems by using number sentences involving multiplication or division where there
is no remainder. • Use equivalent number sentences involving addition and subtraction to find unknown quantities.
!
121
=
=
Equal
Equal terms
terms
1 Use = or =.
a 4 π 3 _______ 6 π 2
means ‘is equal to’.
b 8 + 7 _______ 9 + 6
Number
patterns
means ‘is not equal to’.
c 4 π 6 _______ 3 π 7
d 16 – 9 _______ 8 – 1
e 9 π 3 _______ 7 π 4
f 16 ÷ 4 _______ 35 ÷ 7
g 64 ÷ 8 _______ 56 ÷ 7
h 100 – 36 _______ 8 π 8
i 5 + 17 _______ 33 – 12
j 8 + 8 _______ 8 π 2
k 7 + 7 _______ 7 π 7
l 42 + 14 _______ 8 π 7
m 50 – 16 _______ 7 π 5
n 72 ÷ 8 _______ 12 – 3
2
a Look at the pattern to complete the table.
Order of term
1
2
Term
1
3
3
4
5
6
7
8
4
5
6
7
8
b Draw the 10th term.
c Describe the pattern.
3
a Look at the pattern to complete the table.
Order of term
1
2
3
Term
2
4
6
b Draw the 12th term.
c Describe the pattern.
4 Draw your own pattern, then complete the table.
Order of term
1
2
3
4
5
6
7
8
Term
122
!
ACMNA081, ACMNA082 & ACMNA083 Patterns and algebra • Explore and describe number patterns resulting from performing multiplication.
• Solve word problems by using number sentences involving multiplication or division where there is no remainder. • Use equivalent number sentences involving
addition and subtraction to find unknown quantities.
Addition
Addition and
and multiplication
multiplication patterns
patterns
Strategies
1 a 2 + 3 + 8 =______
b 7 + 4 + 6 =______
c 9 + 2 + 5 =______
d 8 + 5 + 1 =______
3 + 2 + 8 =______
4 + 6 + 7 =______
5 + 2 + 9 =______
1 + 8 + 5 =______
8 + 3 + 2 =______
6 + 4 + 7 =______
2 + 9 + 5 =______
1 + 5 + 8 =______
e 9 + 7 + 11 =______ f 8 + 7 + 13 =______ g 16 + 8 + 4 =______ h 15 + 7 + 9 =______
11 + 9 + 7 =______
13 + 8 + 7 =______
8 + 16 + 4 =______
7 + 9 + 15 =______
7 + 11 + 9 =______
8 + 13 + 7 =______
8 + 4 + 16 =______
9 + 15 + 7 =______
2 Write the rule about adding numbers.
_________________________________________________________________________________________________________
3 a 2 π 3 π 4 =______
b 7 π 2 π 3 =______
c 5 π 7 π 2 =______
d 9 π 4 π 5 =______
4 π 2 π 3 =______
2 π 3 π 7 =______
7 π 5 π 2 =______
5 π 9 π 4 =______
3 π 4 π 2 =______
2 π 7 π 3 =______
2 π 5 π 7 =______
4 π 5 π 9 =______
f 9 π 6 π 10 =______ g 4 π 8 π 2 =______
h 3 π 9 π 7 =______
e 6 π 8 π 5 =______
5 π 8 π 6 =______
10 π 6 π 9 =______
8 π 2 π 4 =______
9 π 7 π 3 =______
5 π 6 π 8 =______
9 π 10 π 6 =______
2 π 4 π 8 =______
3 π 7 π 9 =______
4 Write the rule about multiplying numbers.
_________________________________________________________________________________________________________
5 In question 3 circle the easiest multiplication in each group.
6 These numbers have to be added. Circle the numbers you would add first.
a
d
g
j
16
15
14
8
15
5
51
68
49
b
e
h
7
9
13
12
6
4
22
18
36
c
f
i
11
9
17
27
17
13
43
19
31
Why did you choose those numbers? _________________________________________________________
_____________________________________________________________________________________________________
7 Work the answers mentally for question 6.
a ________ b ________ c ________ d ________ e ________ f ________ g ________ h ________ i ________
ACMNA082 & ACMNA083 Patterns and algebra • Solve word problems by using number sentences involving multiplication or division where there is no remainder.
• Use equivalent number sentences involving addition and subtraction to find unknown quantities.
!
123