Functions in Programming with Examples
undefined
DAY 6 OF
BOOTSTRAP
DEFINING FUNCTIONS
SIT IN YOUR PAIRS. GRAB YOUR CHROMEBOOKS
AND LOGIN TO WESCHEME.ORG
Defining Functions
gt
will be a function that makes a solid green triangle
(
gt
10) would be a shortcut for ( triangle 10 “solid” “green”)
gt
is the function, 10 in the input-domain
Steps to define a function
1.
Write a contract
2.
Give Examples
3.
Define Function
Turn to page 9: Fast Functions
Lets work through writing a contract together
Defining Functions
Write a function ‘
gt
’
, which takes in a number and
gives back a solid, green triangle of the given size.
5
gt
Number
Image
gt
(triangle “solid” “green”)
10
(triangle “solid” “green”)
11
gt
size
gt
(
(triangle “solid” “green”)
size
size
10
11
Defining Functions
Confession: I lied. I actually prefer blue circles!
Write a function ‘
bc
’
, which takes in a number and
gives back a solid, blue circle of the given radius.
6
bc
Number
Image
bc
(circle “solid” “blue”)
16
(circle “solid” “blue”)
99
bc
radius
bc
(
(circle “solid” “blue”)
radius
16
99
radius
Define a function:
dot
which takes in a color (domain) and
produces(range) a solid circle of the
given color with a radius of 20
(define (dot color) (circle 20 “solid” color))
How does this work in Algebra?
Define a function
f
that takes in a variable
x
and adds 1
Define a function
h
that takes in a variable
x
and divides it by 2
Page 38:
Complete function definitions
Rocket Height page 12
Rocket-height
15
rocket-height
Number
Number
Multiply the number of seconds by 7 to find the height
15
105
(* 7 289)
rocket-height 289
(* 7 15)
rocket-height
Wescheme
Google:
Wescheme Rocket-Height
Follow 1
st
link
Can you fix the game?
Explore the concept of defining functions in programming with examples using solid green triangles, blue circles, and solid color circles. Learn to write contracts, provide examples, and define functions step by step. Discover how functions work in algebra and create your own function that adds 1 to a variable.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
DAY 6 OF BOOTSTRAP DEFINING FUNCTIONS S I T I N YO U R PA I R S . G R A B YO U R C H R O M E B O O K S A N D L O G I N TO W E S C H E M E . O R G
I LOVE GREEN TRIANGLES Wescheme
Defining Functions gt will be a function that makes a solid green triangle ( gt 10) would be a shortcut for ( triangle 10 solid green ) gt is the function, 10 in the input-domain
Steps to define a function 1.Write a contract 2.Give Examples 3.Define Function ????:?????? ????? Turn to page 9: Fast Functions Lets work through writing a contract together
Defining Functions Write a function gt , which takes in a number and gives back a solid, green triangle of the given size. gt Number size Image gt gt 10 11 10 (triangle solid green ) (triangle solid green ) 11 gt size ((triangle solid green ) size 5
Defining Functions Confession: I lied. I actually prefer blue circles! Write a function bc , which takes in a number and gives back a solid, blue circle of the given radius. Image bc Number radius bc bc 16 99 16 (circle solid blue ) (circle solid blue ) 99 bc radius ((circle solid blue ) radius 6
Define a function: dot which takes in a color (domain) and produces(range) a solid circle of the given color with a radius of 20 (define (dot color) (circle 20 solid color))
How does this work in Algebra? define f x + x 1 1. Name of function? 2. How many variables? 3. What is the name of the variable(s)?
Define a function f that takes in a variable x and adds 1 ?????? ? ? + ? 1 In algebra in written as ? ? = ? + 1
Define a function g that takes in a variable r and multiples it by 20 ?????? g r r 20 In algebra in written as ? ? = ?(20)
Define a function h that takes in a variable x and divides it by 2 ?????? ? / ? 2 ? =? In algebra in written as 2
Page 38: Complete function definitions
Rocket-height rocket-height rocket-height Number Number Multiply the number of seconds by 7 to find the height radius seconds 105 15 (* 7 15) (* 7 289) rocket-height 289 15
Google: Wescheme Rocket-Height Follow 1st link Can you fix the game? Wescheme
