Page 174 - IM_Algebra2_FL Print Sample.pdf
P. 174
Student Response
1. Sample responses: for ; . .
2. The number of new triangles in stage is the same as the number of segments in stage , because each segment generates a triangle.
3. The total number of triangles is 64, because .
stage,
number of new triangles,
0
1
1
3
2
12
3
48
Activity Synthesis
Ask students to explain how they found the terms to add up for the last question. Discuss any insights in comparing the data from and , and why .
Time permitting, ask students to explain what it would mean to sum the terms in sequence ? This sum doesn’t represent anything meaningful in this context. Contrast this with nding the sum of the terms through Stage 3 of , which represents the total number of triangles in the stage 3 snow ake.
Lesson Synthesis
Ask students to consider this list of words and create some examples that show what the words mean.
• Sequence
• Sum of a sequence
• Arithmetic sequence
• Geometric sequence
• Common di erence
• Common ratio
• Recursive form de nition • Closed form de nition
Unit 1
Lesson 10: Adding Up 109
