Kiran

> We can find the area of the whole circle, the arc length of the sector, and the circumference of the circle with this information.
>
> Kiran, Geometry Unit 7, Lesson 9.2

**Kiran** is most interesting because he is one of only two characters who has a confirmed height. He is also more introverted than many of the others, never having any appearances with Andre, Han, Jada, or Noah. Important things to note about Kiran is that he likes kites, isosceles triangles, and travelling. He also plays basketball, which he is quite good at.

Kiran's only close friend is Mai. It is possible that he has a crush on her as well.

## Notable Appearances

**Geometry Unit 1**

* "Kiran thinks both diagonals of a kite are lines of symmetry. Tyler thinks only 1 diagonal is a line of symmetry." (Lesson 15.3)

*Analysis: This furthers the theory that Kiran likes kites.*

**Geometry Unit 4**

* "Kiran is visiting the Statue of Liberty. He wants to test the mirror method of indirect measurement for calculating heights. He is 5.8 feet tall and knows that the Statue of Liberty is 308 feet tall." (Lesson 1, Practice Problems)

*Analysis: This confirms Kiran's height, and that he travels.*

* "Kiran is flying a kite. He gets tired, so he stakes the kite in the ground." (Lesson 5, Practice Problems)

*Analysis: This supports the theory that Kiran likes kites.*

* "Kiran is flying a kite. He gets tired, so he stakes the kite in the ground." (Lesson 7, Practice Problems)

*Analysis: This supports the theory that Kiran likes kites.*

**Algebra 2 Unit 7**

* "Lin, Kiran, and Diego are going to shoot 100 free throws each for practice. Based on their shooting in the past, Lin thinks they are all of similar ability, and Lin estimates that they each have a 60% chance of making each shot. They each shoot their shots. Lin makes 63 of the 100 shots. Kiran makes 75 of the 100 shots. Diego makes 35 of the 100 shots." (Lesson 8.1)

*Analysis: Kiran plays basketball, and is very good at it.*

## Miscellaneous Appearances

**Geometry Unit 1**

* "Kiran started reflecting triangle CDE across line m. So far, he knows the image of D is D' and the image of E is E'" (Lesson 11.3)

**Geometry Unit 2**

* "Mai and Kiran want to prove that in an isosceles triangle, the 2 base angles are congruent." (Lesson 6.3)
* "Kiran knows that the base angles of an isosceles triangle are congruent. What additional information does Kiran need in order to show that AB is a perpendicular bisector of CD?" (Lesson 8, Practice Problems)

**Geometry Unit 3**

* "In isosceles triangle DAC, AD is congruent to AC and AB is an angle bisector of angle DAC. How does Kiran know that AB is a perpendicular bisector of segment CD?" (Lesson 1, Practice Problems)

**Geometry Unit 6**

* "Triangle ABC has vertices at (0,0), (5,5) and (10,1). Kiran calculates the point of intersection of the medians using the following steps." (Lesson 17, Practice Problems)

**Geometry Unit 7**

* "Tyler and Kiran are discussing the parallelogram in the image. Tyler says the parallelogram cannot be cyclic. Kiran says the parallelogram can be cyclic if a circle is drawn carefully through the vertices." (Lesson 6, Practice Problems)
* "Kiran says, 'We can find the area of the whole circle, the arc length of the sector, and the circumference of the circle with this information.' Priya says, 'But how? We don’t know the circle’s radius!'" (Lesson 9.2)
* "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**

* "Kiran takes a piece of paper with length 8 inches and width 10 inches and cuts away one inch of the width. Then he does it again, and again..." (Lesson 8.2)

**Algebra 2 Unit 2**

* "Kiran wrote f(x) = (x - 3)(x - 7) as an example of a function whose graph has x-intercepts at x = -3, -7." (Lesson 8, Practice Problems)
* "Kiran thinks he knows one of the linear factors of P(x) = x^3 + x^2 - 17x + 15. After finding that P(3) = 0, Kiran suspects that x - 3 is a factor of P(x), so he sets up a diagram to check." (Lesson 14, Practice Problems)

**Algebra 2 Unit 3**

* "Kiran was using the quadratic formula to solve the equation x^2 - 12x + 41 = 0. He wrote this: x = 12 ± √(144 - 164)/2. Then he noticed that the number inside the square root is negative and said, 'This equation doesn't have any solutions.'" (Lesson 18.2)
* "Kiran is solving the equation √(x + 2) - 5 = 11 and decides to start by squaring both sides." (Lesson 18, Practice Problems)
* "Elena and Kiran were solving the equation 2x^2 - 4x + 3 = 0 and they got different answers. Elena wrote 1 ± i√0.5, and Kiran wrote 1 ± (i√8)/4." (Lesson 19, Practice Problems)

**Algebra 2 Unit 4**

* "Clare says that log(0.1) = -1. Kiran says that log(-10) = -1." (Lesson 12, 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**

* "Kiran collects information about 25 classmates. He believes his data is perfectly symmetrical with a mean and median of 6. He then realized that the number he recorded as 12 was actually supposed to be 10." (Lesson 10, Practice Problems)