Activity Template 1
Name___________________
Provide a contextual situation for the mathematical idea you want students to explore.
The context.
The table.
Independent
Dependent
0
1
2
3
4
5
6
7
8
9
10
The graph.
The written work. This could include solving the
problem analytically or notes for the students.
©2010 Ivan Cheng
Activity Template 2
Name___________________
This is the place to insert a situation to contextualize the problem. Perhaps you want students
to compare and contrast two graphs? Or you want to help them connect the data from the
table(s) with the graphical representation?
Table 1
Table 2
x
y
x
y
25
24
23
22
21
20
19
18
17
16
Dependent Variable
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Independent Variable
©2010 Ivan Cheng
Activity Template 3
Name___________________
Use the elements of this template to guide students through an investigation step by
step. This graph also provides room for higher y-values.
Step 1: The first thing students will do should be concrete.
40
x
y
Independent
Dependent
0
0
1
4
2
8
3
12
4
16
5
20
6
24
7
28
8
32
9
36
10
40
35
30
Dependent Variable
25
Step 2
Carefully plot your points from the
table on the graph.
Step 3
How much do the
change by each time?
Step 4
What do you notice?
20
x-values
15
10
5
0
0
5
10
Independent Variable
15
©2010 Ivan Cheng
Quadratic Connections
Name___________________
1. Expand the following using Complete the table and draw the graph:
one of the 3 ways you
know:
x
y
0
y = (x – 3) (x – 1)
1
2
y=
3
4
Use the table and the graph to
find the x-intercepts:
x=
x=
Write the x-intercepts as
coordinates:
Based on your graph, what is
the coordinate of the vertex?
V(
,
)
.
2. Expand the following using Complete the table and draw the graph:
one of the 3 ways you
know:
x
y
–1
y = (x + 1) (x – 3)
0
1
y=
2
3
Use the table and the graph to
find the x-intercepts:
x=
x=
Write the x-intercepts as
coordinates:
Based on your graph, what is
the coordinate of the vertex?
V(
,
)
©2010 Ivan Cheng