Page 119 - IM_Algebra2_FL Print Sample.pdf

6.
Student Response
Matches:
• and (geometric) • and (geometric) • and (arithmetic) • and (arithmetic) • and (geometric)
The de nition for is (arithmetic).
The sequence for is (geometric).
Activity Synthesis
Ask students how they decided on matching de nitions for sequences and , even though they both involve doubling. (It is necessary to specify the rst term in order to de ne a sequence recursively.)
Ensure that students have come up with correct matches and the correct, missing sequence and de nition.
Lesson Synthesis
Consider creating a semi-permanent display summarizing everything we have learned so far. (Leave room for the closed de nition!) Time permitting, each pair or small group of students could come up with their own example to add to the display.
Sequence: A List of Numbers
Geometric
Multiply each term by the common ratio. Example sequence: 2, 6, 18, 54, . . . Common ratio: 3
Recursive de nition:
Arithmetic
Add to each term the common di erence.
Example sequence: 2, 7, 12, 17, . . .
Common di erence: 5
Recursive de nition:
54
Teacher Guide
Algebra