mathematics — Search free study notes

proportional parts

…r. Think of it as a constant ratio or a consistent scaling. Mathematically, we write this as: $A \propto B$ This "fish" symbol ($\propto$) means "is directly proportional to". To t…

Foundations of Functions and Equations

Honors Algebra 2

…ctly one specific thing out (an output). Equations are like mathematical statements that declare two expressions are equal, and often, your goal is to find the values that make tha…

Advanced Functions and Systems

Honors Algebra 2

…ing these concepts will deepen your insight into real-world mathematical modeling. Think of advanced functions as more sophisticated tools in your mathematical toolbox, each design…

Refraction at Plane Surfaces

physics class 12

…the angle at which the light hits the surface. Snell's Law mathematically describes this phenomenon, relating the angles and refractive indices of the media. Imagine you're runnin…

Mixed Word Problems and Review

Math

…formation is given? Look for keywords that suggest specific mathematical operations. Addition keywords: "total," "sum," "in all," "altogether," "combine." Subtraction keywords: "di…

IB Math AA/AI (HL/SL): Algebra, Functions and Equations

IB Prep

This topic covers foundational mathematical tools like algebraic manipulation, understanding different types of functions, and solving various equations. Mastering these concepts i…

Introduction to Quadratic Equations and Basic Terminology

Quadratic Equations: Solve quadratic equations with the square root rule, by factoring, and with the quadratic formula.

…ter on. Think of a quadratic equation as a specific type of mathematical sentence that describes a curve called a parabola. It always involves a variable squared, and understanding…

Understanding the Essay Assignment and Brainstorming

I need to write a essay about a famous mathemetition

…y breaking down the prompt. We'll then brainstorm potential mathematicians, focusing on their contributions and why they'd make a good essay subject. Finally, you'll pick a mathema…

Foundational Concepts of Exponents and Radicals

i have an exam from 1.exponential fucntions 2.logarithmic functions 3.exponential equations tomorrow. help me prepare quickly without skipping any points. i have to get a 100

…itself to get this result?". They're two sides of the same mathematical coin. Photo by https://kaboompics.com/ on Pexels An exponent tells you how many times to use a number (the…

Foundations of Equations

algebra

…(the variable) all by itself on one side. An equation is a mathematical statement that shows two expressions are equal. It always has an equals sign (=). For example: $x + 5 = 10$…

Determining Linear Rules from Data and Graphs

Linear equations

You can figure out the mathematical rule that connects two variables (like x and y) by looking at a table of values or a graph. If the relationship forms a straight line, it's a li…

Introduction to the Cartesian Coordinate System

Linear equations

…ystem is fundamental for graphing equations and visualizing mathematical relationships. Imagine a perfectly flat map where you can describe any spot using just two numbers: how far…

Foundational Review: Understanding Fractions and Decimals

I need to learn how to convert decimals to fractions

…representation, making it easier to work with in different mathematical contexts. Mastering this conversion involves recognizing decimal places and reducing fractions to their sim…

IB Math AA HL: Complex Numbers, Vectors and Proofs

IB Prep

This topic combines complex numbers, vectors, and mathematical proof techniques, requiring you to apply concepts from all three areas to solve problems. You'll learn to represent c…

IB Math AA/AI (HL/SL): Algebra, Functions and Equations

IB Prep

This topic covers foundational mathematical tools like algebraic manipulation, understanding different types of functions, and solving various equations. Mastering these concepts i…

Intro to Algebraic Expressions & Equations

CHANGE IN SUBJECT OF THJE FORMULA

…wn numbers in expressions and equations. An expression is a mathematical phrase without an equals sign, while an equation states that two expressions are equal. Changing the subjec…

Introduction to Algebraic Equations and Linear Systems

math

…by Monstera Production on Pexels An algebraic equation is a mathematical statement that shows two expressions are equal, often containing one or more variables. A variable is usual…

Foundational Concepts of Equations and Solutions

how many does an equation has

…Pexels An equation uses an equals sign (=) to show that two mathematical expressions have the same value. For example, in x + 5 = 10, x + 5 is one expression, and 10 is another. Th…

Introduction to Patterns

Pattern · Nairobi institute of Technology

…k ice on Pexels These involve numbers where there's a clear mathematical relationship between terms. Arithmetic Sequences: Each term is found by adding a constant value to the prev…

Vector Algebra and Properties

maths 105

Vectors are mathematical objects with both magnitude (size) and direction, distinct from scalars which only have magnitude. You can perform various operations like addition, subtra…