Andre

> Uh-oh. If 'side' means corresponding sides with the same length, then we'll only get congruent triangles.
>
> Andre, Geometry Unit 3, Lesson 10.2

**Andre** is perhaps the least morally sound of the Illustrative Mathematics characters, primarily because he is having affairs with Lin, Clare, Jada, and Mai. It is unclear who came first, but his two closest lovers are Mai and Clare. Andre is also friends with friends with Diego, although given his romantic nature, it is possible that the two of them are more than just friends.

Another important detail about Andre to note is that he is good at math and seems to enjoy it. This is true with all of the Illustrative Mathematics characters, but with Andre, he does seem slightly ahead, especially when it comes to Pythagorean Theorem. Perhaps this gave him arrogance, which resulted in an over confidence in relationships as well.

Andre does not like pizza crust, enough so that he is willing to make his friends cut the pizza in a way that he gets more pizza and they get more crust.

Andre's favorite subject is band.

## Notable Appearances

**Geometry Unit 2**

* "Han, Clare, and Andre thought of a way to construct an angle bisector. They used a circle to construct points D and E the same distance from A. Then they connected D and E and found the midpoint of segment DE. They thought that ray AF would be the bisector of angle DAE." "Andre's rough-draft justification: What if you draw a segment from F to A? Segments DF and EF are congruent. Also, angle DAF is congruent to angle EAF. Then both triangles are congruent on either side of the angle bisector line." (Lesson 14.2)

*Analysis: This is an example of Andre appearing with Clare, which is common for him. This furthers the theory about their relationship. This is also an example of him with Han, furthering the theory about their friendship.*

**Geometry Unit 3**

* "Andre thinks these triangles must be congruent. Clare says she knows they might not be congruent." (Lesson 4, Practice Problems)

*Analysis: This is an example of Andre appearing with Clare, which is common for him. This furthers the theory about their relationship.*

* "Andre remembers lots of ways to prove triangles congruent. He asks Clare, 'Can we use Angle-Side-Angle to prove triangles are similar?' Clare: 'Sure, but we don't need the Side part because Angle-Angle is enough to prove triangles are similar." Andre: 'Hmmm, what about Side-Angle-Side or Side-Side-Side? What if we don't know 2 angles?' Clare: 'Oh! I don't know. Let's draw a picture and see if we can prove it.' Andre: 'Uh-oh. If 'side' means corresponding sides with the same length, then we'll only get congruent triangles.'" (Lesson 10.2)

*Analysis: This is an example of Andre appearing with Clare, which is common for him. This furthers the theory about their relationship. This appearance is specifically noteworthy because of how much fun they seem to be having with each other. They each clearly enjoy the other's presence, showing that Andre cares about her, probably more than any of the other girls he is with.*

* "Andre says he can find the length of the third side of triangle ABC and it is 5 units. Mai disagrees and thinks that the side length is unknown." (Lesson 14, Practice Problems)

*Analysis: It is important to note that not only is Andre correct, but that all he had to do was use Pythagorean Theorem. This shows that he is likely better at math compared to many of his classmates.*

* "Andre says he can find the length of the third side of triangle ABC and it is 13 units. Mai disagrees and thinks that the side length is unknown." (Lesson 15, Practice Problems)

*Analysis: It is important to note that not only is Andre correct, but that all he had to do was use Pythagorean Theorem. This shows that he is likely better at math compared to many of his classmates.*

**Geometry Unit 4**

* "Andre and Mai are discussing how to solve for side AB. Andre thinks he can use the equation tan(12) = x/6 to solve for AB. Mai thinks she can use the equation tan(78) = 6/x to solve for AB." (Lesson 8, Practice Problems)

*Analysis: This appearance with Mai supports the theory that they are having an affair.*

**Geometry Unit 5**

* "Andre says, 'We know that if a rectangle is dilated by a scale factor of *k,* the area scales by a factor of *k^2.* Does this apply to other shapes?' Jada says, 'Here's a shape that's not a rectangle. Say its area is A square units. Let's draw some rectangles on it that get smaller and smaller to fit the remaining empty space. With enough rectangles we can come close to covering the whole blob.' Andre says, 'These rectangles start to make a nice approximate of the blob. If we wanted to get closer, we could add even more rectangles. The sum of the areas of all the rectangles would add up to the area of the blob! I think we're almost there!'" (Lesson 4.3)

*Analysis: Andre appears commonly with female characters, and this is no exception to that. It is likely that Jada is involved in yet another one of his affairs, although she may not be as important to him long-term.*

* "Mai, Andre, and Lin are discussing the volume of a scaled box. The original holds 7 cubic inches. The new box holds 448 cubic inches. Mai thinks the scale factor is 4, Andre thinks the scale factor is 16, and Lin thinks the scale factor is 64." (Lesson 14, Practice Problems)

*Analysis: Andre's appearance with Mai and Lin shows that they may be also involved in affairs with him.*

**Geometry Unit 7**

* "Jada and Andre want to share a big slice of pizza so that each of them gets the same amount, but Andre doesn’t like the crust. The pizza slice is a sector of a circle with a radius of 20 cm and a central angle that measures pi/3 radians." (Lesson 14.3)

*Analysis: This confirms that Andre doesn't like pizza crust. The fact that Jada puts up with this also supports the theory that they are having an affair.*

**Algebra 2 Unit 1**

* "Andre and Lin are asked to write an equation for S that isn't recursive." (Lesson 8.3)

*Analysis: This is an example of Andre, appearing with Lin, which is common for him, showing that they may have a deeper connection than some of Andre's other affairs.*

* "Tyler has a piece of paper and is sharing it with Elena, Clare, and Andre. He cuts the paper to create four equal pieces, the hands one each to the others and keeps one for himself." (Lesson 11.2)

*Analysis: Although at first glance, one may think that this shows that Tyler and Andre are friends, I do not think that is necessarily the case. I think this is simply a result of Tyler's giving nature, and has nothing to do with how well they actually like each other.*

**Algebra 2 Unit 3**

* "Mai was solving the equation: √(x +1) = 3. She said, 'I can square each side of the equation to get another equation with the same solutions.' Andre said, 'I tried your technique to solve √(x - 1) = -3 but it didn't work.'" (Lesson 7.4)

*Analysis: Further evidence of the affair.*

* "Andre spilled something on his math notebook and some parts of the problems he was working on were erased." (Lesson 15, Practice Problems)

*Analysis: This could imply that Andre is clumsy. However, it never states that he spilled the substance accidentally, so alternatively he could have done it in a rebellion against Illustrative Mathematics.*

**Algebra 2 Unit 7**

* "Andre is in the band and he is conducting an experiment to determine if high school students find listening to classical music or listening to the sounds of the ocean more calming." (Lesson 3, Practice Problems)

*Analysis: This proves that Andre is a band kid.*

## Miscellaneous Appearances

**Geometry Unit 2**

* "Andre is drawing a triangle that is congruent to this one. He begins by constructing an angle congruent to angle LKJ. What is the least amount of additional information that Andre needs to construct a triangle congruent to this one?" (Lesson 7, Practice Problems)
* "Andre is thinking through a proof using a reflection to show that a triangle is isosceles given that its base angles are congruent." (Lesson 11, Practice Problems)

**Geometry Unit 6**

* "Andre says, 'I know that I can find the distance between two points in the plane by drawing in a right triangle and using the Pythagorean Theorem. But I’m not sure how to find the lengths of the legs of the triangle when I can’t just count the squares on the graph.'" (Lesson 4.1)

**Geometry Unit 7**

* "Noah says, 'I constructed 2 perpendicular bisectors of triangle ABC. That means the point where they intersect is the circumcenter!' Andre responds, 'No, we still need to check the third perpendicular bisector to make sure it intersects at the same point.'" (Lesson 5, Practice Problems)
* "Andre and Diego are each saving money. They each hope to save 500 dollars. They are tracking their progress on the circles in the image. Diego thinks that Andre has saved more money than Diego has saved. Andre thinks they have saved the same amount." (Lesson 13, Practice Problems)

**Algebra 2 Unit 2**

* "Andre says that any real number can go into either of the boxes and A will be a polynomial." (Lesson 4, Practice Problems)
* "Andre wants to make an open-top box by cutting out corners of a 22 inch by 28 inch piece of poster board and then folding up the sides." (Lesson 8, Practice Problems)

**Algebra 2 Unit 3**

* "Diego squared a number and got 4. Andre squared a different number and got 4." (Lesson 11, Practice Problems)

**Algebra 2 Unit 4**

* "Andre says that log10(55) = 1.5 because 55 is halfway between 10 and 100." (Lesson 11, Practice Problems)

**Algebra 2 Unit 5**

* "Andre thinks, 'When the bakery starts baking 2 hours earlier, that means I need to subtract 2 from x and that G(x) = H(x-2).'" (Lesson 3.2)
* "Andre says that g(x) = 0.1x(0.1x - 5)(0.1x + 2)(0.1x + 5) is obtained from f by scaling the inputs by a factor of 0.1. Clare says this graph is a vertical shift of the graph of f down 100 units. Diego says the graph of k(x) = -x(x - 5)(x + 2)(x + 5) is the reflection of the graph over the y-axis." (Lesson 9, Practice Problems)

**Algebra 2 Unit 7**

* "Andre gets 200 pieces of paper and marks 45 of them as Mutant and puts them all in a bag." (Lesson 10.3)