Math in the News: 3/28/11

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In this issue of Math in the News, we look at the Fukushima nuclear power plant to analyze the heat generated from the nuclear core. Some applications of exponential functions are explored.

Education

$Math in the News: 3/28/11$

Constructing a teardrop shape involves drawing three circles of different radii using a compass on graph paper. The teardrop shape is formed by the overlapping circular arcs from a radius 5 circle, another radius 5 circle, and a radius 3 circle. The overlapping arcs are highlighted and isolated by erasing the remaining circular areas to reveal the smooth teardrop curve created by the intersecting arcs.

Pumpkin π: A Multi-Grade Math Activity

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Math in the News: Issue 112--Back-to-School Purchases

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Math in the News: Issue 111--Summer Blockbusters

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The document discusses summer blockbuster movies. Some key points: - Summer is the peak movie season due to school being out and families looking for affordable entertainment options. - Blockbusters are big-budget films released in the summer that draw huge audiences and make substantial profits. They typically feature recognizable stars, special effects, and family-friendly content. - Examples of past summer blockbusters that fit this profile are provided. - Data on the budget and earnings of Avatar, a highly successful blockbuster, show it had a budget of $425 million and grossed $760.5 million, resulting in a profit of $335.5 million.

Math in the News Issue 110: Summer Travel

Media4math

Media4Math Overview

Media4math

This document advertises the digital math resources available through Media4Math, including over 11,000 resources that can be purchased individually or through a subscription. It provides information about the Marketplace, Open Educational Resource library, Worksheet library, and libraries of resources focused on teaching linear functions, quadratic functions, and other math topics through videos, games, and presentations.

This document discusses using mathematical models to represent the thawing of frozen turkeys. It introduces logarithmic functions as a model for thawing curves, as the temperature increases over time in a way similar to the inverse of an exponential cooling curve. The document provides guidelines from the USDA for safely thawing turkeys either in the refrigerator over several days or in a water container over several hours, and shows how to construct a logarithmic model to fit starting and ending temperature points for a turkey thawing in the refrigerator.

Tutorials--Cube Root Functions in Tabular and Graph Form

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Tutorials--Square Root Functions in Tabular and Graph Form

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Tutorials--Logarithmic Functions in Tabular and Graph Form

Media4math

This document contains 120 examples of tutorials that construct function tables and graphs for logarithmic functions in tabular and graph form. The tutorials vary the base of the logarithm (base 10 or base 2), the characteristics of the logarithmic function (values of a, b, c for the function y = log(ax + b) + c), and whether the function has a single logarithm or a scaled logarithm (with coefficient d).

Tutorials--Secant Functions in Tabular and Graph Form

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Tutorials--Cosecant Functions in Tabular and Graph Form

Media4math

This document describes 65 tutorials that provide examples of constructing tables and graphs for cosecant functions. Each tutorial examines a cosecant function of the form y = csc(ax + b) or y = a * csc(bx + c) + d with different values for the variables a, b, c, and d. The tutorials demonstrate how changing the values of these variables affects the shape of the cosecant function graph and its table of values.

Tutorials--Tangent Functions in Tabular and Graph Form

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Tutorials--Cosine Functions in Tabular and Graph Form

Media4math

This document describes 65 tutorials on constructing tables and graphs for cosine functions of the form y=cos(ax+b). Each tutorial varies the values of a and b to demonstrate different characteristics of the cosine function graphed and tabulated over changing domains. The tutorials cover different positive, negative, and fractional values of a and various phase shifts introduced by changing the value of b.

Tutorials--Sine Functions in Tabular and Graph Form

Media4math

This document describes 65 tutorials that provide examples of constructing tables and graphs for sine functions of the form y = a*sin(bx + c) + d, with varying values for the coefficients a, b, c, and d. Each tutorial works through an example with different coefficient values to demonstrate how to represent sine functions in tabular and graphical form for different periodic behaviors and vertical and horizontal shifts.

Tutorials--Absolute Value Functions in Tabular and Graph Form

Media4math

Tutorials--Rational Functions in Tabular and Graph Form

Media4math

Tutorials--Exponential Functions in Tabular and Graph Form

Media4math

Tutorials--Quadratic Functions in Tabular and Graphic Form

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(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬 𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬: - Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology. 𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫: -Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.

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Math in the News: 3/28/11

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