GRAPHING �PATTERNS
y = mx + b
TERM�VALUE
TERM �NUMBER
WHERE THE
PATTERNS STARTS
FIRST �DIFFERENCE
LAST WEEK’S FOCUS
THIS WEEK’S FOCUS
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y = mx + b
1 2 3 4 5
1 2 3 4 5
HOW DO WE WRITE THE COORDINATES OF THIS POINT?
( 3
, 2 )
3
2
1 2 3 4 5
1 2 3 4 5
BUT WAIT…
( 3
, 2 )
3
2
y = mx + b
y = mx + b
1 2 3 4 5
1 2 3 4 5
BUT WAIT, WAIT!…
( 3
, 2 )
3
2
| |
1 | |
2 | |
3 | |
4 | |
5 | |
3
2
1 2 3 4 5
1 2 3 4 5
BUT WAIT, WAIT!…
( 3
, 2 )
3
2
2 = m(3) + b
| |
1 | |
2 | |
3 | |
4 | |
5 | |
3
2
1 2 3 4 5
1 2 3 4 5
BUT WAIT, WAIT!…
( 3
, 2 )
3
2
y = mx + b
| |
1 | |
2 | |
3 | |
4 | |
5 | |
3
2
( 4, 4 )
4
| |
| |
| |
| |
| |
| |
1
1
1
2
3
4
5
6
7
8
8
2
2
1
2
3
4
5
6
7
8
9
10
11
12
12
1 2 3 4 5
2 4 6 8 10 12 14 16 18 20
(1, 8)
(2, 12)
| |
| |
| |
| |
| |
| |
1
1
1
2
3
4
5
6
7
8
8
2
2
1
2
3
4
5
6
7
8
9
10
11
12
12
1 2 3 4 5
2 4 6 8 10 12 14 16 18 20
(1, 8)
(2, 12)
3
WE CAN USE THE GRAPH TO PREDICT �THE NEXT TERM VALUE
(3, 16)
16
4
(4, 20)
20
0
b
(0, 4)
4
| |
| |
| |
| |
| |
| |
1
1
1
2
3
4
5
6
7
8
8
2
2
1
2
3
4
5
6
7
8
9
10
11
12
12
1 2 3 4 5
2 4 6 8 10 12 14 16 18 20
(1, 8)
(2, 12)
3
WE CAN USE THIS DATA TO FIGURE OUT THE PATTERN EXPRESSION/ EQUATION
(3, 16)
16
4
(4, 20)
20
0
4
(0, 4)
y = mx + b
y = mx + 4
y = 4x + 4
16 = 4(3) + 4
16 = 12 + 4
16 = 16
12-8 =
16-12 =
20-16=
4
4
4
GRAPH THIS PATTERN EQUATION:
y = -2x + 18
GRAPH THIS PATTERN EQUATION:
y = -2x + 18
1 2 3 4 5
10 11 12 13 14 15 16 17 18 19
DOWN
(1, 16)
(2, 14)
(3, 12)
(4, 10)
| |
| |
| |
| |
| |
| |
0
18
1
16
2
14
3
12
4
10
1 2 3 4 5
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
TRY IT
Y = 5x + 7
b) Graph this pattern
25, 19, 13
c) Write the expressions for the patterns on the graph
1 2 3 4 5
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
TRY IT
Y = 5x + 7
b) Graph this pattern
25, 19, 13
c) Write the expressions for the patterns on the graph
IND WORK
TECH CENTRE
DESMOS: Investigating T-Shirt Offers
DIFFICULTY:
MEDIUM
TECH CENTRE
DESMOS: Match My Line
DIFFICULTY:
HARD
MRSTAV
MATH GAME
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MRSTAV
GUIDED
WITH STAV
1 2 3 4 5
MATH JOURNAL
MATH�GAME
INDEPENDENT WORK
TECH�CENTRE
Colton |
Chloe |
Jamila |
Najaela |
Peach |
|
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|
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MRSTAV
GUIDED
WITH STAV
1 2 3 4 5
MRSTAV
GUIDED
WITH STAV
1 2 3 4 5