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## You are looking at 1 - 10 of 25 items for :

• "CCSS.Math.Content.HSF-LE.A.1c"
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## Extreme Numbers and Estimation Skills

Using estimation helps increase numerical fluency and gives meaning to large numbers.

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## 42 Folds to the Moon; Lottery Players Seeing Double

Clips about paper folding and lottery numbers inspire questions about exponential growth and probability.

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## A Rationale for Irrationals: An Unintended Exploration of e

The practice of problem posing is as important to develop as problem solving. The resulting explorations can be mathematically rich.

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## Media Clips: Global Population Explosion; U.S. Population Growth

Students analyze items from the media to answer mathematical questions related to the article. Linear and exponential models for population growth are explored, and dimensional analysis is used.

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## The Back Page: Financing a College Education

A favorite lesson is presented by a teacher. This lesson involves student participation in planning post-secondary school financing. Compound interest and the present and future value formulas are the mathematical basis for the lesson.

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## Media Clips: NFL Players' Life Expectancy; Transit of Venus

Students analyze items from the media to answer related mathematical questions. The mathematics involved in this month's clips includes percent loss and gain, proportional reasoning, and the application of Kepler's laws, which involve exponential equations and regression.

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## Media Clips: World Population Soon to Hit 7 Billion//Facebook Mathematics

Students analyze items from the media to answer mathematical questions related to the article. Exponential growth is the topic of both clips this month.

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## Activities for Students: Predicting Future Gas Prices Using the Standards for Mathematical Practice

“How much do you think gas will cost when I graduate from high school?” Like many commodities, the price of gasoline continues to rise, and these price changes are readily observed in gas stations' signage. Moreover, algebraic methods are well suited to model price change and answer the student's question. Over the course of one ninetyminute block or two forty-five-minute classes, students build functions and interpret them in context. This article presents the activity, describes its implementation, provides sample student work, and discusses its relationship to the Standards for Mathematical Practice from the Common Core State Standards. Data used in the activity are available at http://data.bls.gov/cgi-bin/surveymost?ap.

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## Flower Power – Sunflowers as a Model for Logistic Growth

Logistic growth displays an interesting pattern: It starts fast, exhibiting the rapid growth characteristic of exponential models. As time passes, it slows in response to constraints such as limited resources or reallocation of energy (see fig. 1). The growth continues to slow until it reaches a limit, called capacity. When the growth describes a population, capacity is defined as “the maximum population that the environment is capable of sustaining in the long run” (Stewart 2008, p. 628).

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## Technology Tips: Using FluidMath to Explore Recursive and Explicit Functions

luidMath™ (www.fluiditysoftware.com), a new mathematics software tool for Tablet devices, computers, and interactive whiteboards, can create a dynamic graph or table with a simple gesture and recognize written expressions as the mathematical relationship they intend. The software uses a stylus as its input device. By changing constant values in an equation to parameters, the user can create sliders instantly and see graphs and tables change dynamically. The CAS (Computer Algebra System) functionality allows simplification of algebraic expressions and solution of equations and can perform all the calculations from algebra through calculus. FluidMath uses standard mathematical notation to explore explicitly and implicitly defined functions, parametric functions, polar functions, and recursively defined functions.  