# Patterns and Functions Guided Practice

```Teacher Notes
• Students will need calculators and
whiteboards with dry erase markers.
• Paper and pencil can be used if whiteboards
are not available.
• Students should set up and attempt to solve
the problems, and then check the accuracy of
their work when the answers are shown on
the screen.
The first step is to determine
the rule for the pattern.
Write the numbers in the pattern
2, 8, 14, 20, 26, 32
What could be the rule?
2
8
+6
14
+6
20
+6
26
+6
32
+6
Guess
and
Check
2, 8, 14, 20, 26, 32
32
38
+6
44
+6
50
+6
56
+6
62
+6
The first six numbers in the pattern below
were made using a subtraction rule.
85, 78, 71, 64, 57, 50
If the pattern continues the same way, what will be the next
two numbers in the pattern?
85 – 78 =
78 – 71 =
71 – 64 =
64 – 57 =
57 – 50 =
7
7
7
7
7
TheUse
for each
subtraction
problem
the
to find isthe
same.
pattern.
The first six numbers in the pattern below were
85, 78, 71, 64, 57, 50
What will be the next
two numbers in the
pattern?
Continue to
subtract 7.
50 – 7 =
43 – 7 =
43
36
IN
4
9
6
RULE
OUT
x5
20
x5
45
x5
30
IN
4
9
6
RULE
OUT
IN
-3
1
-3
6
-3
3
4
9
6
RULE
OUT
IN
+5
9
+5
14
+5
11
4
9
6
RULE
OUT
+16 20
+16 25
+16 22
3
12
8
A.
B.
C.
D.
21
IN
RULE
OUT
3
x5
15
12
x5
60
8
x5
40
30
Multiply by 5
Subtract 2
26
IN
RULE
OUT
IN
RULE
OUT
IN
RULE
OUT
3
-2
1
3
+18
21
3
+12
15
12
-2
10
12
+18
30
12 +12
24
8
-2
6
8
+18
26
8
+12
20
Karla is using a subtraction rule to make the number
pattern shown below.
291, 288, 285, 282, 279
If the pattern continues in the same way,
what will be the 7th number in the pattern?
291 – 288 =
288 – 285 =
285 – 282 =
282 – 279 =
3
3
3
3
What is the pattern?
Use
for each
subtraction
problem is
to the
findsame
the.
pattern.
Karla is using a subtraction rule to make the number
pattern shown below.
291, 288, 285, 282, 279
If the pattern continues in the same way,
what will be the 7th number in the pattern?
A. 278
B. 277
C. 276
D. 273
Continue subtracting 3.
6th number in pattern
7th number in pattern
276
276 – 3 = 273
279 – 3 =
What is the rule?
A
B
C
What is the rule?
A
B
C
What is the rule?
A
B
C
Look at each pattern one at a time.
A
A
B
B
A
A
B
B
What comes
next for each
part of the
pattern?
900
800
700
600
500
400
The next two items in this pattern are…
B
300
B
200
300
200
If this pattern continues, how many squares will be in
the bottom row of Figure 8 of this pattern?
A. 7
B. 8
C. 10
D. 12
Drawing the next
few figures in the
pattern will help
solve this
problem.
If this pattern continues, how many squares will be in
the TOP row of figure 7of this pattern?
A.
B.
C.
D.
12
11
9
7
Drawing the next
few figures in the
pattern will help
solve this
problem.
What is the rule?
A
B
C
What is the rule?
A
B
C
What is the rule?
A
B
C
First identify the rule.
First identify the rule.
Guess
and
Check
IN
2
5
8
Rule
x3
OUT
6
15
x3
24
x3
for every IN-OUT
pair?
IN
Rule
OUT
2
x3
6
5
x3
15
8
x3
24
12
x3
36
3
12
8
21
30
26
First identify
the rule.
What number should come out if the number 7
goes into this number machine.
A. 18
D. 25
C. 27
D. 32
3
21
12
30
8
26
IN
Rule
3
12
8
x7
OUT
21
x7
30
x7
26
First identify the rule.
Guess
and
Check
Does your
rule work
If not,
for
every
IN-OUT
guess
and
check
pair?
again.
3
21
12
30
8
26
IN
Rule
3
12
8
+ 18
OUT
21
+ 18
30
+ 18
26
First identify the rule.
Guess
and
Check
for every IN-OUT
pair?
IN
Rule
3
12
8
+ 18
OUT
21
+ 18
30
+ 18
26
7
+ 18
25
What number should come out if the number 7 goes into
this number machine.
A. 18
D. 25
C. 27
D. 32
package contains the same number of cookies.
Number of
Packages
Total Number of
1
2
3
4
5
6
12
18
24
30
Based on the data in the table, how many packages will
Based on the data in the table, how many packages will
Number of
Packages
Total Number of
1
2
3
4
5
6
7
8
6
12
18
24
30
36
42
48
Extend
the
Pattern
Look at each pattern one at a time.
red
white
blue
red
white
blue
red
white
What comes
next for each
part of the
pattern?
3
6
9
12
15
18
The next two items in this pattern are…
red
21
white
24
21
24
```
Complex analysis

23 Cards