Clarifications:
Essential Understandings
Concrete:
- Use pictures, objects, or manipulatives to create a geometric sequence.
- Use multiplication to create a geometric sequence.
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- Understand the concepts and vocabulary: term, sequence, common difference, initial value, geometric, arithmetic, position.
- Understand that the first term is necessary to use the explicit formula for geometric sequence. Understand that the previous term is necessary to use the recursive formula for geometric sequence.
- Create a pattern using numbers.
For example:
4, 12, 36, 108,… - This sequence is a geometric sequence because there is a factor of 3 between each number.
- Each term (except the first) is found by multiplying the previous term by 3.
- Identify the first term in the sequence (
). - Identify the ratio between the terms (r).
- Substitute values into the formula
for the first term, common ratio and selected terms to find a specific number in the sequence.
For example:
- Teacher Resource: Click Here
| Number: MAFS.912.F-BF.1.AP.2d | Category: Access Points |
| Date Adopted or Revised: 06/14 |
Cluster:
Build a function that models a relationship between two quantities. (Algebra 1 - Supporting Cluster) (Algebra 2 - Major Cluster) : Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters. |