Activity Graphs
Activity Template 1 Name___________________
Provide a contextual situation for the mathematical idea you want students to explore.
|The context. |The table. |
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| |Dependent |
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|The graph. |The written work. This could include solving the problem analytically or notes|
| |for the students. |
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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 |
|x |y |
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|Table 2 |
|x |y |
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|Expand the following using one of the 3 ways |Complete the table and draw the graph: |Use the table and the graph to find the |
|you know: | |x-intercepts: |
| |x | |
|y = (x + 1) (x – 3) |y |x = |
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|y = |–1 |x = |
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| |0 |Write the x-intercepts as coordinates: |
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| |1 |Based on your graph, what is the coordinate of|
| | |the vertex? |
| | |V ( , ) |
| |2 | |
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-----------------------
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
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Dependent Variable
0 5 10 15
Independent Variable
Dependent Variable
|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 |
Step 2 Carefully plot your points from the table on the graph.
Step 3 How much do the x-values change by each time?
Step 4 What do you notice?
40
35
30
25
20
15
10
5
0
................
................
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