From 9cc77b514bd29249e5e1ccbaa59f48a47e2b03bd Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Thu, 15 Jan 2026 23:46:19 +0000 Subject: [PATCH 1/6] EQ3 --- source/precalculus/source/01-EQ/03.ptx | 45 +++++++++++++++----------- 1 file changed, 26 insertions(+), 19 deletions(-) diff --git a/source/precalculus/source/01-EQ/03.ptx b/source/precalculus/source/01-EQ/03.ptx index d2009186e..5d424564f 100644 --- a/source/precalculus/source/01-EQ/03.ptx +++ b/source/precalculus/source/01-EQ/03.ptx @@ -32,7 +32,7 @@

- Point C should be at the point (2,2). +

Point C should be at the point (2,2).

 @@ -42,9 +42,9 @@

- AC is 4 units long. - BC is 2 units long. - Make sure students pay attention to the scale. +

AC is 4 units long. + BC is 2 units long.

+

Make sure students pay attention to the scale.

 @@ -54,7 +54,8 @@

- Students should see that they can use the Pythagorean Theorem to find the length of side AB (which is \sqrt{20} or approximately 4.5). +

Students should see that they can use the Pythagorean Theorem to find the length of + side AB (which is \sqrt{20} or approximately 4.5).

 @@ -76,7 +77,8 @@

- Students may need help in their drawing. Make sure the hypotenuse is the line segment that connects the two points. +

Students may need help in their drawing. Make sure the hypotenuse is the line segment that + connects the two points.

 @@ -86,7 +88,9 @@

- The lengths of the legs of the triangle should be y_{2}-y_{1} and x_{2}-x_{1} (or y_{1}-y_{2} and x_{1}-x_{2} depending on how students created their drawing). +

The lengths of the legs of the triangle should be y_{2}-y_{1} and + x_{2}-x_{1} (or y_{1}-y_{2} and x_{1}-x_{2} depending on + how students created their drawing).

 @@ -96,7 +100,10 @@

- Students should see the connection to the previous activity and apply the Pythagorean Theorem. They should get either \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} or \sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2} to represent the length of the side that connects the two points. +

Students should see the connection to the previous activity and apply the Pythagorean + Theorem. They should get either \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} or + \sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2} to represent the length of the side + that connects the two points.

 @@ -125,7 +132,7 @@
  • \sqrt{56}

    • - B and C +

    B and C

     @@ -138,7 +145,7 @@
  • \sqrt{61}

    • - B and D +

    B and D

         @@ -152,7 +159,7 @@
  • (-5,-5)

    • - B +

    B

         @@ -193,7 +200,7 @@
  • (10,2)

    • - B +

    B

     @@ -206,7 +213,7 @@
  • (5,2)

    • - D +

    D

         @@ -219,7 +226,7 @@
  • (5,2)

    • - C +

    C

         @@ -260,7 +267,7 @@
  • (1,4)

    • - B +

    B

         @@ -273,7 +280,7 @@
  • (4,7)

    • - C +

    C

         @@ -286,7 +293,7 @@
  • (8,6)

    • - D +

    D

         @@ -304,7 +311,7 @@

    - \sqrt{113} or 10.6 +

    \sqrt{113} or 10.6

     @@ -314,7 +321,7 @@

    - (2,1.5) +

    (2,1.5)

         From 0530065539a0695180d55334ac40117a62bbb33d Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Thu, 15 Jan 2026 23:46:57 +0000 Subject: [PATCH 2/6] LF3 --- source/precalculus/source/03-LF/03.ptx | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/source/precalculus/source/03-LF/03.ptx b/source/precalculus/source/03-LF/03.ptx index b26278743..7c645a553 100644 --- a/source/precalculus/source/03-LF/03.ptx +++ b/source/precalculus/source/03-LF/03.ptx @@ -30,7 +30,7 @@ - Many answers possible. +

    Many answers possible.

     @@ -65,7 +65,7 @@ - Just the one possible line. +

    Just the one possible line.

     From 814b832ccc62a89c424b2981e9d5ba08b184b3f2 Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Thu, 15 Jan 2026 23:47:50 +0000 Subject: [PATCH 3/6] EL2 --- source/precalculus/source/05-EL/02.ptx | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/source/precalculus/source/05-EL/02.ptx b/source/precalculus/source/05-EL/02.ptx index b8ef46085..836c53cab 100644 --- a/source/precalculus/source/05-EL/02.ptx +++ b/source/precalculus/source/05-EL/02.ptx @@ -105,7 +105,7 @@

    - E +

    E

     @@ -124,7 +124,7 @@

    - C +

    C

     @@ -332,7 +332,7 @@

    - C +

    C

     @@ -351,7 +351,7 @@

    - E +

    E

     From af7580b3f6a30a27aafe640de68c51695d10f988 Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Thu, 15 Jan 2026 23:48:37 +0000 Subject: [PATCH 4/6] EL4 --- source/precalculus/source/05-EL/04.ptx | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/source/precalculus/source/05-EL/04.ptx b/source/precalculus/source/05-EL/04.ptx index 98725ab20..ffdf00986 100644 --- a/source/precalculus/source/05-EL/04.ptx +++ b/source/precalculus/source/05-EL/04.ptx @@ -134,7 +134,7 @@ p

    - D +

    D

     @@ -153,7 +153,7 @@ p

    - E +

    E

     @@ -171,7 +171,7 @@ p

    - A +

    A

     @@ -189,7 +189,7 @@ p

    - D +

    D

     From ee5410e1dc31986679342dee9067607cfcaad150 Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Thu, 15 Jan 2026 23:56:15 +0000 Subject: [PATCH 5/6] LF6 --- source/precalculus/source/03-LF/06.ptx | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/source/precalculus/source/03-LF/06.ptx b/source/precalculus/source/03-LF/06.ptx index f9fc06bd0..ecc03cf4b 100644 --- a/source/precalculus/source/03-LF/06.ptx +++ b/source/precalculus/source/03-LF/06.ptx @@ -179,7 +179,7 @@

    - The point of intersection is (1,1). +

    The point of intersection is (1,1).

    @@ -229,7 +229,7 @@

    - The point of intersection is not at a "nice" point, making it hard to see exactly where it is. +

    The point of intersection is not at a "nice" point, making it hard to see exactly where it is.

    From cd3929eac027b4a2ac0034452312bb091beeac5e Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Thu, 15 Jan 2026 23:57:25 +0000 Subject: [PATCH 6/6] Calculus AD7 --- source/calculus/source/03-AD/07.ptx | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/source/calculus/source/03-AD/07.ptx b/source/calculus/source/03-AD/07.ptx index 3853c1117..35e68469e 100644 --- a/source/calculus/source/03-AD/07.ptx +++ b/source/calculus/source/03-AD/07.ptx @@ -275,7 +275,7 @@ Note that some of the graphs below are definitely hard... might want to tell thi f(x)=\frac{x^2-4}{x^2-9} - Note that there is a horizontal asymptote at y=1. +

    Note that there is a horizontal asymptote at y=1.

    x = var('x') @@ -295,7 +295,7 @@ Note that some of the graphs below are definitely hard... might want to tell thi     f(x)=\frac{x^2+x-2}{x+3} - Note that this graph has a slant asymptote of y=x. +

    Note that this graph has a slant asymptote of y=x.

    x = var('x') @@ -305,7 +305,7 @@ Note that some of the graphs below are definitely hard... might want to tell thi     f(x)=\frac{x}{\sqrt{x^2+2}} - Note that this graph has horizontal asymptotes at y=\pm 1. +

    Note that this graph has horizontal asymptotes at y=\pm 1.

    x = var('x')