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Year 7 Coding & Computational Thinking Maths Link

Functions: Reusable Code

Learn how functions let you write code once and use it many times -- just like mathematical functions!

What is a Function?

A function is like a recipe. You write it once, give it a name, and then you can use it whenever you need it. Functions take inputs (called parameters), do something with them, and often give back a result (called a return value).

Functions are Like Recipes

Recipe (Real Life)

Name: makeSmoothie

Ingredients (inputs): fruit, milk

Steps: Blend fruit with milk

Result (output): A smoothie!

Function (Code)

function makeSmoothie(fruit, milk) {
    return blend(fruit, milk);
}

Anatomy of a Function

function calculateArea(length, width) {
    let area = length * width;
    return area;
}

function -- keyword that says "I'm defining a function"

calculateArea -- the function's name (you choose this)

(length, width) -- parameters (inputs the function needs)

return area -- sends the result back to whoever called the function

Maths Connection: f(x) IS a Function!

In Maths, you write functions like this:

f(x) = 2x + 3

When x = 5: f(5) = 2(5) + 3 = 13

In JavaScript, it is written as:

function f(x) {
    return 2 * x + 3;
}

display( f(5) );  // Output: 13

The input (x) goes in, a calculation happens, and the output comes back. It's the same concept in Maths and in code!

Try It: Interactive Code Examples

Area Calculator Function

function calculateArea(length, width) {
    return length * width;
}

// Call the function with different inputs:
display("Area = " + calculateArea(length, width));

Even/Odd Checker Function

function isEven(number) {
    return number % 2 === 0;
}

// Test the function:
display(number + " is even: " + isEven(number));

Maths Function: f(x) = 2x + 3

function f(x) {
    return 2 * x + 3;
}

// Test with different values of x:
for (let x = 1; x <= 5; x++) {
    display("f(" + x + ") = " + f(x));
}

Key Vocabulary

Function

A reusable block of code that performs a specific task. Define once, use many times.

Parameter

An input variable that a function receives. Listed in the parentheses when defining the function.

Argument

The actual value passed to a function when you call it. E.g., in f(5), 5 is the argument.

Return Value

The output that a function sends back using the return keyword.

Call / Invoke

To use a function by writing its name followed by parentheses: calculateArea(5, 3)

Modular Code

Breaking code into small, reusable pieces (functions) instead of one long script.

Worked Examples

1

What does greet("Sam") return?

function greet(name) {
    return "Hello, " + name + "! Welcome.";
}

Step 1: The function is called with name = "Sam"

Step 2: It concatenates: "Hello, " + "Sam" + "! Welcome."

Answer: It returns "Hello, Sam! Welcome."

2

What is the output of this code?

function double(n) {
    return n * 2;
}

let result = double(7) + double(3);
display(result);

Step 1: double(7) returns 7 * 2 = 14

Step 2: double(3) returns 3 * 2 = 6

Step 3: result = 14 + 6 = 20

Answer: It displays 20. One function, called twice with different arguments!

3

Write a function to calculate the perimeter of a rectangle

Think: Perimeter = 2 x (length + width). The function needs two parameters.

function perimeter(length, width) {
    return 2 * (length + width);
}

display( perimeter(8, 5) ); // Output: 26

Answer: perimeter(8, 5) = 2 x (8 + 5) = 2 x 13 = 26

Knowledge Check

Select the correct answer for each question.

Question 1

What does add(4, 6) return?

function add(a, b) {
    return a + b;
}

Question 2

What is the name for the values you pass INTO a function?

Question 3

If f(x) = 3x - 1, what is f(4)?

Question 4

What does this code display?

function square(n) { return n * n; }
display( square(3) + square(4) );

Question 5

Which function correctly calculates the area of a circle (Area = pi x r x r)?

Key Concepts Summary

Year 7: Data Maths Year 8: Problem Solving