奥兰多气温散点图绘制

几何画板及绘图内容加载中，请稍等……

2015-11-10 03:32

所属专题 CCSS Support Algebra I Unit 3

①本范例演示如何利用散点图展示奥兰多全年平均高低气温变化；②涉及的核心数学概念包括数据可视化、散点图绘制、坐标几何；③作图要点提炼自构造摘要，使用了Polygon（多边形）、LaTeX（公式渲染）、TableText（表格文本）、Sort（排序）、Element（元素选择）、If（条件判断）、VerticalText（垂直文本）等GeoGebra命令与对象；④适合高中数学教学，用于教授数据分析和统计图表绘制。

GeoGebra 命令及参数

Polygon(A, C, D, E) → poly1, a, c, d, e
LaTeX("\text{course of a year are given in the following table.To make a scatter plot}") → text1
LaTeX("\text{and which will be the dependent variable.Next,determine the scales }") → text1_3
LaTeX("\text{of the scatter plot.Finally,plot each point to complete the scatter plot.}") → text1_4
LaTeX("\text{of this data,first determine which quantity will be the independent variable}") → text1_2
TableText({{LaTeX["\text{Month}"], LaTeX["\text{January}"], LaTeX["\text{February}"], LaTeX["\text{March}"], LaTeX["\text{April}"], LaTeX["\text{May}"], LaTeX["\text{June}"], LaTeX["\text{July}"], LaTeX["\text{August}"], LaTeX["\text{September}"], LaTeX["\text{October}"], LaTeX["\text{November}"], LaTeX["\text{December}"]}, {LaTeX["\text{High(°F}"], LaTeX[(("\text{" * high1) * "}")], LaTeX[(("\text{" * high2) * "}")], LaTeX[(("\text{" * high3) * "}")], LaTeX[(("\text{" * high4) * "}")], LaTeX[(("\text{" * high5) * "}")], LaTeX[(("\text{" * high6) * "}")], LaTeX[(("\text{" * high7) * "}")], LaTeX[(("\text{" * high8) * "}")], LaTeX[(("\text{" * high9) * "}")], LaTeX[(("\text{" * high10) * "}")], LaTeX[(("\text{" * high11) * "}")], LaTeX[(("\text{" * high12) * "}")]}, {LaTeX["\text{Low(°F)}"], LaTeX[(("\text{" * low1) * "}")], LaTeX[(("\text{" * low2) * "}")], LaTeX[(("\text{" * low3) * "}")], LaTeX[(("\text{" * low4) * "}")], LaTeX[(("\text{" * low5) * "}")], LaTeX[(("\text{" * low6) * "}")], LaTeX[(("\text{" * low7) * "}")], LaTeX[(("\text{" * low8) * "}")], LaTeX[(("\text{" * low9) * "}")], LaTeX[(("\text{" * low10) * "}")], LaTeX[(("\text{" * low11) * "}")], LaTeX[(("\text{" * low12) * "}")]}}, "c|_") → text2
LaTeX("\text{Decide which quantity is the independent variable and which is the dependent variable. }") → text1_{11}
LaTeX("\text{independent variable,because neither value clearly depends on the other.}") → text1_{13}
LaTeX("\text{For this situation,either the high or the low temperature can be used as the}") → text1_{12}
LaTeX("\text{Use the high temperature as the independent variable,which will be the}") → text1_{14}
LaTeX("\text{\textcolor{#000099}{x}-value on the scatter plot,and use the low temperature as the}") → text1_{15}
LaTeX("\text{dependent variable,or the \textcolor{#000099}{y}-value on the scatter plot.}") → text1_{16}
LaTeX("\text{minimum and maximum values for each variable.}") → text1_7
LaTeX("\text{so that it can be broken down into easily divided intervals.}") → text1_{10}
LaTeX("\text{Set up and label the coordinate plane. }") → text1_{19}
LaTeX("\text{Plot each ordered pair on the coordinate plane. }") → text1_{23}
LaTeX("\text{and so on until all points are plotted.}") → text1_{25}
LaTeX("\text{The completed scatter plot follows.}") → text1_{28}
LaTeX("\text{x}") → text1_{33}
LaTeX("\text{y}") → text1_{35}
LaTeX("\text{Determine the scales for the \textcolor{#000099}{x}- and \textcolor{#000099}{y}-axes of the scatter plot. }") → text1_5
LaTeX("\text{January }") → Jan_1
LaTeX("\text{February }") → Jan
LaTeX("\text{March }") → Jan_2
LaTeX("\text{June }") → Jan_3
LaTeX("\text{July }") → Jan_4
LaTeX("\text{August }") → Jan_5
LaTeX("\text{September }") → Jan_6
LaTeX("\text{October }") → Jan_7
LaTeX("\text{November}") → Jan_8
LaTeX("\text{December}") → Jan_9
LaTeX("\text{April }") → Jan_{10}
LaTeX("\text{May }") → Jan_{11}
LaTeX("\text{February }") → Jan_{12}
LaTeX("\text{February }") → Jan_{13}
LaTeX("\text{February }") → Jan_{14}
LaTeX("\text{February }") → Jan_{15}
LaTeX("\text{Month}") → text1_{31}
LaTeX("\text{High}") → text1_{36}
LaTeX("\text{Low}") → text1_{37}
LaTeX((("\text{\textcolor{#000099}{" * high1) * "}}")) → text1_{38}
LaTeX((("\text{\textcolor{#000099}{" * low1) * "}}")) → text1_{39}
LaTeX((("\text{\textcolor{#000099}{" * high2) * "}}")) → text1_{40}
LaTeX((("\text{\textcolor{#000099}{" * low2) * "}}")) → text1_{41}
LaTeX((("\text{\textcolor{#000099}{" * high3) * "}}")) → text1_{42}
LaTeX((("\text{\textcolor{#000099}{" * low3) * "}}")) → text1_{43}
LaTeX((("\text{\textcolor{#000099}{" * high3) * "}}")) → text1_{44}
LaTeX((("\text{\textcolor{#000099}{" * low3) * "}}")) → text1_{45}
LaTeX((("\text{\textcolor{#000099}{" * high3) * "}}")) → text1_{46}
LaTeX((("\text{\textcolor{#000099}{" * low3) * "}}")) → text1_{47}
LaTeX((("\text{\textcolor{#000099}{" * high4) * "}}")) → text1_{48}
LaTeX((("\text{\textcolor{#000099}{" * low4) * "}}")) → text1_{49}
LaTeX((("\text{\textcolor{#000099}{" * high5) * "}}")) → text1_{50}
LaTeX((("\text{\textcolor{#000099}{" * low5) * "}}")) → text1_{51}
LaTeX((("\text{\textcolor{#000099}{" * high6) * "}}")) → text1_{52}
LaTeX((("\text{\textcolor{#000099}{" * low6) * "}}")) → text1_{53}
LaTeX((("\text{\textcolor{#000099}{" * high7) * "}}")) → text1_{54}
LaTeX((("\text{\textcolor{#000099}{" * low7) * "}}")) → text1_{55}
LaTeX((("\text{\textcolor{#000099}{" * high8) * "}}")) → text1_{56}
LaTeX((("\text{\textcolor{#000099}{" * low8) * "}}")) → text1_{57}
LaTeX((("\text{\textcolor{#000099}{" * high9) * "}}")) → text1_{58}
LaTeX((("\text{\textcolor{#000099}{" * low9) * "}}")) → text1_{59}
LaTeX((("\text{\textcolor{#000099}{" * high10) * "}}")) → text1_{60}
LaTeX((("\text{\textcolor{#000099}{" * low10) * "}}")) → text1_{61}
LaTeX((("\text{\textcolor{#000099}{" * high11) * "}}")) → text1_{62}
LaTeX((("\text{\textcolor{#000099}{" * low11) * "}}")) → text1_{63}
LaTeX((("\text{\textcolor{#000099}{" * high12) * "}}")) → text1_{64}
LaTeX((("\text{\textcolor{#000099}{" * low12) * "}}")) → text1_{65}
Sort(list) → sort
Element(sort, 1) → sort1
LaTeX((("\text{For the values of \textcolor{#000099}{x} (the average high temperature),the minimum temperature is \textcolor{#000099}{" * sort1) * "°}}")) → text1_9
Element(sort, 12) → sort2
Sort(list1) → sortt
Element(sortt, 1) → sort3
Element(sortt, 12) → sort4
LaTeX((("\text{For the values of {\textcolor{#000099}{y} (the average low temperature),the minimum temperature is {\textcolor{#000099}{" * sort3) * "°} }")) → text1_{17}
LaTeX((("\text{and the maximum temperature is {\textcolor{#000099}{" * sort4) * "°}.The {\textcolor{#000099}{y}-axis can go from {\textcolor{#000099}{45°} to {\textcolor{#000099}{75°}.}")) → text1_{18}
LaTeX((((((((("\text{The first ordered pair is \textcolor{#000099}{(" * high1) * ",") * low1) * ")}.Plot this point,then plot \textcolor{#000099}{(") * high12) * ",") * low12) * ")}, }")) → text1_{24}
LaTeX("\text{\textbf{Scatter plot}\;a graph of data in two variables on a coordinate plane, }") → text4
LaTeX("\text{\textbf{Independent variable}\;labeled on the \textcolor{#000099}{x}-axis;the quantity that changes based on }") → text4_4
LaTeX("\text{\textbf{Dependent variable}\;labeled on the \textcolor{#000099}{y}-axis;the quantity that is based on the input }") → text4_2
LaTeX("\text{Monthly Temperatures in Orlando}") → text1_{66}
LaTeX("\text{The scatter plot must include all of the ordered pairs.Therefore,identify the}") → text1_6
LaTeX("\text{The average high and low temperatures for Orlando,Florida,over the}") → text1_1
LaTeX((("\text{and the maximum temperature is {\textcolor{#000099}{" * sort2) * "°}.The \textcolor{#000099}{x}-axis can go from {\textcolor{#000099}{70°} to {\textcolor{#000099}{100°},}")) → text1_8
LaTeX("\text{such as “Monthly Temperatures in Orlando”.}") → text1_{22}
LaTeX("\text{where each data pair is represented by a point.}") → text4_1
LaTeX("\text{values of the independent variable;the output variable of a function. }") → text4_3
LaTeX("\text{values chosen;the input variable of a function.}") → text4_5
If(low7 ≟ low8, LaTeX["\text{Notice that there were {\textcolor{#000099}{12} ordered pairs in the table,but there are only {\textcolor{#000099}{11} }"], LaTeX[" \text{\;} }"]) → text1_{27}
If(low7 ≟ low8, LaTeX["\text{points on the scatter plot.This is because there were two identical ordered pairs}"], LaTeX[" \text{\;} }"]) → text1_{26}
If(low7 ≟ low8, LaTeX[(((("\text{in the table,\textcolor{#000099}{(" * high8) * ",") * low8) * ")},because the average daily high and low temperatures }")], LaTeX[" \text{\;} }"]) → text1_{29}
If(low7 ≟ low8, LaTeX["\text{for July and August were the same.}"], LaTeX[" \text{\;} }"]) → text1_{30}
LaTeX("\text{Average high temperature (\textcolor{#000099}{° F}) }") → text1_{34}
VerticalText("\text{Average low temperature (\textcolor{#000099}{° F}) }") → text1_{32}
LaTeX("\text{can be “Average low temperature (\textcolor{#000099}{° F})”.Include an appropriate title,}") → text1_{21}
LaTeX("\text{Label each axis.The \textcolor{#000099}{ x}-axis can be “Average high temperature(\textcolor{#000099}{° F})” and the \textcolor{#000099}{y}-axis}") → text1_{20}
TableText({{LaTeX["\text{Month}"], LaTeX["\text{Jan}"], LaTeX["\text{Feb}"], LaTeX["\text{Mar}"], LaTeX["\text{Apr}"], LaTeX["\text{May}"], LaTeX["\text{Jun}"], LaTeX["\text{Jul}"], LaTeX["\text{Aug}"], LaTeX["\text{Sep}"], LaTeX["\text{Oct}"], LaTeX["\text{Nov}"], LaTeX["\text{Dec}"]}, {LaTeX["\text{High (\textcolor{#000099}{ \;F})}"], LaTeX[(("\text{\textcolor{#000099}{" * high1) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high2) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high3) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high4) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high5) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high6) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high7) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high8) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high9) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high10) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high11) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * high12) * "}}")]}, {LaTeX["\text{Low (\textcolor{#000099}{\; F})}"], LaTeX[(("\text{\textcolor{#000099}{" * low1) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low2) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low3) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low4) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low5) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low6) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low7) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low8) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low9) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low10) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low11) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * low12) * "}}")]}}, "c|_") → text3