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Precalculus TR accessibility #920

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b1a7bcb
Merge precalculus-prefigure
siwelwerd Jan 23, 2026
afcc7d9
TR1 images
siwelwerd Jan 23, 2026
7e3d2fd
TR2 images
siwelwerd Jan 23, 2026
9de77ea
TR5 graphs
siwelwerd Jan 24, 2026
13a8111
Finish TR5
siwelwerd Jan 26, 2026
70b47b4
Oops forgot to stage. Actually finish TR5
siwelwerd Jan 26, 2026
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2 changes: 1 addition & 1 deletion requirements.txt
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Open in desktop
Original file line number Diff line number Diff line change
@@ -1,4 +1,4 @@
pretext == 2.24.0
pretext[prefigure] == 2.36.0
CodeChat-Server == 0.2.25
pelican == 4.11.0
markdown == 3.7.0
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126 changes: 55 additions & 71 deletions source/precalculus/source/06-TR/01.ptx
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Original file line number Diff line number Diff line change
Expand Up @@ -31,12 +31,11 @@
</introduction>
<task>
<statement>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(pi/2,reference_angle=pi/4,show_axes=False)
</sageplot>
</image>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle1">
<xi:include href="prefigure/TR1-angle1.xml"/>
</prefigure>
</image>
<p>
<ol marker="A." cols="4">
<li><p><m>45^{\circ}</m> </p></li>
Expand All @@ -53,12 +52,11 @@ TBIL.plot_angle(pi/2,reference_angle=pi/4,show_axes=False)
</task>
<task>
<statement>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(pi,reference_angle=-pi/6,show_axes=False)
</sageplot>
</image>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle2">
<xi:include href="prefigure/TR1-angle2.xml"/>
</prefigure>
</image>
<p>
<ol marker="A." cols="4">
<li><p><m>45^{\circ}</m> </p></li>
Expand All @@ -75,12 +73,11 @@ TBIL.plot_angle(pi,reference_angle=-pi/6,show_axes=False)
</task>
<task>
<statement>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(135*pi/180,reference_angle=pi/2,show_axes=False)
</sageplot>
</image>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle3">
<xi:include href="prefigure/TR1-angle3.xml"/>
</prefigure>
</image>
<p>
<ol marker="A." cols="4">
<li><p><m>45^{\circ}</m> </p></li>
Expand All @@ -101,21 +98,19 @@ TBIL.plot_angle(135*pi/180,reference_angle=pi/2,show_axes=False)
<p>
An angle is in <term>standard position</term> if its vertex is located at the origin and its initial side extends along the positive <m>x</m>-axis.
</p>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(5*pi/4)
</sageplot>
</image>
<p>
An angle measured counterclockwise from the initial side has a positive measure, while an angle measured clockwise from the initial side has a negative measure.
</p>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(-3*pi/4)
</sageplot>
</image>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle4">
<xi:include href="prefigure/TR1-angle4.xml"/>
</prefigure>
</image>
<p>
An angle measured counterclockwise from the initial side has a positive measure, while an angle measured clockwise from the initial side has a negative measure.
</p>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle5">
<xi:include href="prefigure/TR1-angle5.xml"/>
</prefigure>
</image>
</statement>
</definition>

Expand All @@ -127,11 +122,10 @@ TBIL.plot_angle(-3*pi/4)
</introduction>
<task>
<statement>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(pi/4)
</sageplot>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle6">
<xi:include href="prefigure/TR1-angle6.xml"/>
</prefigure>
</image>
<p>
<ol marker="A." cols="4">
Expand All @@ -149,11 +143,10 @@ TBIL.plot_angle(pi/4)
</task>
<task>
<statement>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(-pi)
</sageplot>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle7">
<xi:include href="prefigure/TR1-angle7.xml"/>
</prefigure>
</image>
<p>
<ol marker="A." cols="4">
Expand All @@ -172,11 +165,10 @@ TBIL.plot_angle(-pi)
</task>
<task>
<statement>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(-5*pi/6)
</sageplot>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle8">
<xi:include href="prefigure/TR1-angle8.xml"/>
</prefigure>
</image>
<p>
<ol marker="A." cols="4">
Expand All @@ -197,12 +189,11 @@ TBIL.plot_angle(-5*pi/6)
<p> Draw an angle of measure <m>-225^{\circ} </m> in standard position.
</p></statement>
<answer>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(-225*pi/180)
</sageplot>
</image>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle9">
<xi:include href="prefigure/TR1-angle9.xml"/>
</prefigure>
</image>
</answer>
</task>
</activity>
Expand All @@ -223,13 +214,11 @@ TBIL.plot_angle(-225*pi/180)
A <term>central angle</term> is an angle whose vertex is at the center of a circle.
</p>

<image width="50%">
<sageplot>
<xi:include parse="text" href="../../../common/sagemath/library.sage"/>
p=TBIL.plot_angle(2*pi/3,show_unit_circle=True,show_angle_value=False,degree_labels=False)
p
</sageplot>
</image>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-central-angle">
<xi:include href="prefigure/TR1-central-angle.xml"/>
</prefigure>
</image>
</statement>
</definition>

Expand All @@ -241,17 +230,12 @@ p
One <term>radian</term> is the measure of a central angle of a circle that intersects an arc the same length as the radius.
</p>

<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-radian">
<xi:include href="prefigure/TR1-radian.xml"/>
</prefigure>
</image>

<image width="50%">
<sageplot>
<xi:include parse="text" href="../../../common/sagemath/library.sage"/>
p=TBIL.plot_angle(1,show_unit_circle=True,show_angle_value=True,degree_labels=False)
p+=arc((0,0),1,sector=(0,1),color="blue",thickness=2)
p+=text("$r$",(0.5,0.07),fontsize=20)
p+=text("$r$",(0.87,0.6),fontsize=20)
p
</sageplot>
</image>
</statement>
</definition>

Expand Down
66 changes: 24 additions & 42 deletions source/precalculus/source/06-TR/02.ptx
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Original file line number Diff line number Diff line change
Expand Up @@ -15,11 +15,10 @@
<activity>
<statement>
<p> Consider the angle given below:</p>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(-7*pi/4,show_axes=True)
</sageplot>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-angle1">
<xi:include href="prefigure/TR2-angle1.xml"/>
</prefigure>
</image>
<p>Which of the following angles describe the plotted angle?</p>
<ol marker="A." cols="4">
Expand Down Expand Up @@ -47,11 +46,10 @@ TBIL.plot_angle(-7*pi/4,show_axes=True)
<activity>
<introduction>
<p> Consider the angle given below:</p>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
TBIL.plot_angle(pi/3,show_axes=True,show_angle_value=True,degree_labels=True)
</sageplot>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-angle2">
<xi:include href="prefigure/TR2-angle2.xml"/>
</prefigure>
</image>
</introduction>
<task>
Expand Down Expand Up @@ -124,14 +122,10 @@ TBIL.plot_angle(pi/3,show_axes=True,show_angle_value=True,degree_labels=True)
<activity>
<introduction>
<p>Consider the portion of a circle of radius <m>1</m> graphed below.</p>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
p=TBIL.plot_angle(pi/2,show_axes=True,show_angle_value=True,degree_labels=True,show_unit_circle=True)
p+=arc((0,0),1,sector=(0,pi/2),color="blue",thickness=3)
p+=text("$1$", (0.5,0.05),color="black")
p
</sageplot>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-arc-length1">
<xi:include href="prefigure/TR2-arc-length1.xml"/>
</prefigure>
</image>
</introduction>
<task>
Expand Down Expand Up @@ -175,14 +169,10 @@ p
<activity>
<introduction>
<p>Consider the portion of a circle of radius <m>3</m> graphed below.</p>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
p=TBIL.plot_angle(pi/3,show_axes=True,show_angle_value=True,degree_labels=True,show_unit_circle=True)
p+=arc((0,0),1,sector=(0,pi/3),color="blue",thickness=3)
p+=text("$3$", (0.5,0.05),color="black")
p
</sageplot>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-arc-length2">
<xi:include href="prefigure/TR2-arc-length2.xml"/>
</prefigure>
</image>
</introduction>
<task>
Expand Down Expand Up @@ -262,14 +252,10 @@ p
<activity>
<introduction>
<p>Consider the portion of a circle of radius <m>1</m> graphed below.</p>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
p=TBIL.plot_angle(pi/2,show_axes=True,show_angle_value=True,degree_labels=True,show_unit_circle=True)
p+=arc((0,0),1,sector=(0,pi/2),color="blue",thickness=3)
p+=text("$1$", (0.5,0.05),color="black")
p
</sageplot>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-arc-length12">
<xi:include href="prefigure/TR2-arc-length1.xml"/>
</prefigure>
</image>
</introduction>
<task>
Expand Down Expand Up @@ -313,14 +299,10 @@ p
<activity>
<introduction>
<p>Consider the portion of a circle of radius <m>3</m> graphed below.</p>
<image width="50%">
<sageplot>
<xi:include href="../../../common/sagemath/library.sage" parse="text" />
p=TBIL.plot_angle(pi/3,show_axes=True,show_angle_value=True,degree_labels=True,show_unit_circle=True)
p+=arc((0,0),1,sector=(0,pi/3),color="blue",thickness=3)
p+=text("$3$", (0.5,0.05),color="black")
p
</sageplot>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-arc-length22">
<xi:include href="prefigure/TR2-arc-length2.xml"/>
</prefigure>
</image>
</introduction>
<task>
Expand Down
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