Orlando Temperature Scatter Plot

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2015-11-10 03:32

In collections CCSS Support Algebra I Unit 3

This example demonstrates how to create a scatter plot to visualize the changes in average high and low temperatures in Orlando over a year. Key math concepts include data visualization, scatter plot construction, and coordinate geometry. The construction leverages GeoGebra commands and objects such as Polygon, LaTeX, TableText, Sort, Element, If, and VerticalText. It is suitable for high school mathematics instruction on data analysis and statistical graphing.

GeoGebra Commands & Parameters

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