### Finish Pattern worksheet (pg. 8 and 9)

```Using Patterns to
Solve Problems
^fsso^
Quick Review
One box holds 15 books.
Number of Boxes Number of Books
>• How many books will 2 boxes
1
15
hold? 3 boxes? 4 boxes?
Make a table.
Two boxes hold 30 books.
Three boxes hold 45 books.
Four boxes hold 60 books.
> Predict how many books
10 boxes will hold.
2
30
3
45
4
60
W\AAAAAAAAAAAAAAAAWNAAAAAAAAAAAAAAAA
The pattern rule is:
^CiMultiply the number of boxes
by 15.
To predict the number of books 10 boxes will hold, multiply:
10 X 15 = 150 Ten boxes will hold 150 books.
Try These
1. One concert ticket costs \$11.
a) Complete the table to find the cost of
7 tickets.
b) Write a pattern rule for the cost.
n i < !;¦ I & «• , us <s a '.i a
Number of Tickets Cost (\$)
1
2
3
4
c) Predict the cost of 10 tickets.
d) Extend the pattern. How many tickets can
VVWWWXAAAAAAAAAAA \AAAAAAAA
Practice
1. Ivo practises the guitar 25 minutes every day.
a) Make a table to show how many
minutes Ivo practises in one week.
b) How many minutes does
Ivo practise in 10 days?
c) How many minutes will Ivo
practise in November?
How many hours is that?
d) How many days will it take Ivo
to practise a total of 15 hours?
2. One minibus holds 18 students.
a) Make a table to show how
many students can ride in
6 minibuses.
b) Write a pattern rule for the
number of students.
c) How many students can ride
in 10 minibuses?
...... . ...... ¦ 1 . I 1 . > : • -j .. -5 . S .;i ?. O C ft' ft 't «; IS
1. Think about the minibuses in question 2 above.
a) How many students can ride in 25 minibuses?
b) How many minibuses are needed for 170 students?
^tNT Soqf_
J
Modelling Patterns
^tssot1
Quick Review
>• Here is a pattern of squares drawn
Square Number of Dots
on Perimeter
on dot paper.
1
4
2
8
3
12
4
16
5
20
wwvwVAAAAAAAAAAAAAAA/^
One pattern rule for the number Another pattern rule for the
of dots on the perimeter is: ^j^number of dots is:
Start at 4. Add 4 each time. Multiply the square number
by 4.
The number of dots on any perimeter is a multiple of 4.
The 10th square will have 10 X 4, or 40 dots on its perimeter.
57 is not a multiple of 4, so no square has 57 dots.
60 is a multiple of 4 because 15 X 4 = 60. So, the 15th square has 60 dots.
Try These
:> f > &
¦'} C 4>
1 o a) Complete the table for this pattern.
Triangle
Number of Dots
on Perimeter
1
2
3
b) Which triangle will have 39 dots?
4
wwwwwwvsaaaaaaaaaaaaaaaaaa/^
57 dots?
c) Will any triangle have 46 dots?
Why or why not?
Practice
Complete the table for this pattern of
Figure
Perimeter
1
(units)
6
regular hexagons.
2
3
Write the pattern rule for the perimeters.
4
vwwwwwuVWWVWWWW
Which figure will have a perimeter of 22 units?
34 units?
Predict the perimeter of the 10th figure.
Will any figure have a perimeter of 55 units? Explain.
Complete the table for
Figure
this pattern.
Perimeter
Area
(units)
(square units)
1
2
3
4
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Write the pattern rule for the areas.