Mai

> I don't think it is geometric. I graphed it and it doesn't look geometric.
>
> Mai, Algebra 2 Unit 1, Lesson 3.3

**Mai** is primarily interesting for being one of only two characters with a confirmed height. She seems to like working with children and doing math problems with her friends. She also seems to like travelling.

It is important to note that Mai is having an affair with Andre. Although Andre is with many, Mai is one of the closest to him, challenged only by Clare for that title. Mai's only other friend is Kiran, who may have a crush on her.

## Notable Appearances

**Geometry Unit 3**

* "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: Considering Andre's romantic nature, it is possible that Mai's appearance with him means that they are having an affair.*

* "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: Considering Andre's romantic nature, it is possible that Mai's appearance with him means that they are having an affair.*

* "Mai is playing a game with a class of second graders. Mai knows she is exactly 120 inches from the mirror on the floor. She has the students stand so that she can see just the top of their heads and then guesses their heights. The students are amazed!" (Lesson 16, Practice Problems)

*Analysis: The diagram next to this picture shows Mai as 65 inches tall, confirming her height. Also, we can conclude that Mai like working with children if she is playing a game with a class of second graders.*

**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.*

* "Mai is visiting Paris to see the Eiffel Tower. She is 80 feet away when she spots it. To see the top, she has to look up at an angle of 85.7 degrees." (Lesson 7, Practice Problems)

*Analysis: This confirms that Mai likes to travel. This may also imply that she likes France.*

**Geometry Unit 5**

* "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: Considering Andre's romantic nature, it is possible that Mai's appearance with him means that they are having an affair.*

**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.*

## Miscellaneous Appearances

**Geometry Unit 1**

* "Diego says a quadrilateral with 4 congruent sides is always a regular polygon. Mai says it is never one." (Lesson 11, Practice Problems)
* "Mai suspects triangle ABC is congruent to triangle DEF. She thinks these steps will work to show there is a rigid transformation from ABC to DEF." (Lesson 13.3)

**Geometry Unit 2**

* "Mai and Kiran want to prove that in an isosceles triangle, the 2 base angles are congruent." (Lesson 6.3)
* "Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem." (Lesson 9, Practice Problems)

**Geometry Unit 5**

* "A triangle has area 100 square inches. It's dilated by a factor of k = 0.25. Mai says, 'The dilated triangle's area is 25 square inches.' Lin says, 'The dilated triangle's area is 6.25 square inches." (Lesson 5.2)

**Geometry Unit 6**

* "A quadrilateral has vertices A=(0,0), B=(4,6), C=(0,12) and D=(-4,6). Mai thinks the quadrilateral is a rhombus and Elena thinks the quadrilateral is a square." (Lesson 17, Practice Problems)

**Geometry Unit 7**

* "Mai wrote a proof that triangle AED is congruent to triangle CBE. Mai's proof is incomplete." (Lesson 1, Practice Problems)
* "Mai says, 'I know how to find the area of a sector or the length of an arc for central angles like 180 degrees or 90 degrees. But I don’t know how to do it for central angles that make up more complicated fractions of the circle.'" (Lesson 8.3)
* "Priya and Mai are trying to prove that if 2 chords are congruent, they are equidistant from the center of the circle. Priya draws this picture. Mai adds the perpendicular segment from the center of the circle to each chord. Priya says, 'I think we should try to use triangles because that is how we proved things congruent before.' Mai says, 'I think you’re right, but how? Should we draw in some radii?'" (Lesson 9, Practice Problems)
* "Kiran cuts out a square piece of paper with side length 6 inches. Mai cuts out a paper sector of a circle with radius 6 inches, and calculates the arc length to be 4pi inches." (Lesson 10, Practice Problems)

**Algebra 2 Unit 1**

* "Jada and Mai are trying to decide what type of sequence this could be: Jada says, 'I think the sequence is geometric because in the value column each row is 3 times the previous row.' Mai says, 'I don't think it is geometric. I graphed it and it doesn't look geometric.'" (Lesson 3.3)

**Algebra 2 Unit 2**

* "Mai wants to make an open-top box by cutting out corners of a square piece of cardboard and then folding up the sides." (Lesson 1, Practice Problems)
* "Mai graphs the function p given by p(x) = (x + 1)(x - 2)(x + 15) and sees this graph." (Lesson 7.2)
* "Mai graphs a polynomial function, f(x), that has three linear facts (x + 6), (x + 2), and (x - 1). But she makes a mistake." (Lesson 14, Practice Problems)

**Algebra 2 Unit 5**

* "Kiran says that the graph of g is a vertical scaling of the graph of f. Mai says that the graph of g is a horizontal shift of the graph of f." (Lesson 8, Practice Problems)

**Algebra 2 Unit 7**

* "Mai collects information at 37 classmates. She believes her data set is perfectly symmetrical with a mean and median of 20. She then realizes that the number she has recorded as 32 was actually supposed to be 42." (Lesson 4, Practice Problems)
* "Mai has a box of number cubes with each of the 6 faces marked with one of the numbers 1, 2, 3, 4, 5, and 6." (Lesson 13, Practice Problems)