**Title:** Capture - Recapture

**Description:**
In this lesson, students experience an application of proportion that scientists actually use to solve real-life problems. Students learn how to estimate the size of a total population by taking samples and using proportions. The ratio of tagged items to the number of items in a sample is the same as the ratio of tagged items to the total population.

**Standard(s): **

[MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6-RP1]

[MA2013] (6) 2: Understand the concept of a unit rate ^{a}/_{b} associated with a ratio *a*:*b* with *b* ≠ 0, and use rate language in the context of a ratio relationship. [6-RP2]

[MA2013] (6) 3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6-RP3]

[MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7-RP3]

[MA2013] AL2 (9-12) 14: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.* [A-SSE4]