Overview
Learning Objectives
Evidence Statements
Product Outcomes
Materials
Preparation
OPTIONAL: Hand out Warmup activity sheet.
Bem vindo ao Bootstrap! Neste curso, você vai aprender uma nova linguagem de programação – uma maneira simples de dizer ao computador exatamente o que você quer que ele faça. Assim como inglês, espanhol ou francês, uma linguagem de programação tem seu próprio vocabulário e gramática que você terá que aprender. Felizmente, a linguagem que você vai usar aqui tem muito em comum com a matemática simples que você já sabe!
Faça uma conexão entre o material de estudo com as coisas que os alunos já sabem:
What makes a language? Do some students already speak more than one language?
Programming is very much a language, with its own syntax, semantics, etc
Ask students about their favorite videogames. Be open about the scale of a modern game: they cost millions of dollars, are built by huge teams of programmers and artists, and are developed over years.
Set expectations about what can be accomplished in a single, introductory programming class.
Turn to 
We also need to think about what is 
Computers use numbers to represent a character’s position onscreen, using number lines as rulers to measure
the distance from the bottom-left corner of the screen. For our videogame, we will place the numberline so that the screen runs from 0
(on the left) to 640 (on the right). We can take the image of the Dog, stick it anywhere on the line, and measure the distance back to
the lefthand edge. Anyone else who knows about our number line will be able to duplicate the exact position of the Dog, knowing only
the number. What is the coordinate of the Dog on the righthand side of the screen? The center? What coordinate would place the Dog beyond
the lefthand edge of the screen?
By adding a second number line, we can locate a character anywhere on the screen in either
dimension. The first line is called the x-axis, which runs from left to right. The second line, which runs up and down, is
called the y-axis. A 2-dimensional 
Fill in the rest of the table, identifying what is changing for each of your characters.
Mathematicians didn’t always agree on the order of operations, but now
we have a common set of rules for how to evaluate expressions. The pyramid on the right summarizes the
order. When evaluating an expression, we begin by applying the operations written at the top of the
pyramid (multiplication and division). Only after we have completed all of those operations can we
move down to the lower level. If both operations are present (as in ), we read the expression
from left to right, 
One way to indicate the order of operations in an expression is to first
draw the expression as a diagram. This diagram is called a 
Which rule does this Circle of Evaluation break?
Every Circle of Evaluation 
To use multiple functions in the same expression, we can combine Circles
of Evaluation. Look at the Circle of Evaluation you’ve written for . We already
know that the Circle for will evaluate to , so we can 
Finish writing the Circle of
Evaluation shown here, so that it represents 
What does this Circle of Evaluation evaluate to? Let’s review how
we evaluate a Circle:
Convert this Circle of Evaluation into an arithmetic expression.
This screen is called the 
Here is the code for this Circle of Evaluation: (- 4 5)
When a Circle of Evaluation has other circles inside of it, the
translation still follows the same rules: each Circle requires a new set of parentheses:
(* 6 (+ 4 5))
